%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP193-1 : 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.p5E4lyU7fQ true
% Computer : n027.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 04:35:59 PM UTC 2025
% Result : Unsatisfiable 6.19s 1.46s
% Output : Refutation 6.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP193-1 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.p5E4lyU7fQ true
% 0.13/0.34 % Computer : n027.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 14:18:38 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.19/1.46 % Solved by fo/fo6_bce.sh.
% 6.19/1.46 % BCE start: 21
% 6.19/1.46 % BCE eliminated: 0
% 6.19/1.46 % PE start: 21
% 6.19/1.46 logic: eq
% 6.19/1.46 % PE eliminated: 0
% 6.19/1.46 % done 306 iterations in 0.733s
% 6.19/1.46 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.19/1.46 % SZS output start Refutation
% 6.19/1.46 thf(c_type, type, c: $i).
% 6.19/1.46 thf(b_type, type, b: $i).
% 6.19/1.46 thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 6.19/1.46 thf(identity_type, type, identity: $i).
% 6.19/1.46 thf(multiply_type, type, multiply: $i > $i > $i).
% 6.19/1.46 thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 6.19/1.46 thf(a_type, type, a: $i).
% 6.19/1.46 thf(p8_9a_5, axiom,
% 6.19/1.46 (( least_upper_bound @
% 6.19/1.46 ( greatest_lower_bound @ a @ ( multiply @ b @ c ) ) @
% 6.19/1.46 ( multiply @
% 6.19/1.46 ( greatest_lower_bound @ a @ b ) @ ( greatest_lower_bound @ a @ c ) ) ) =
% 6.19/1.46 ( multiply @
% 6.19/1.46 ( greatest_lower_bound @ a @ b ) @ ( greatest_lower_bound @ a @ c ) ))).
% 6.19/1.46 thf(zip_derived_cl19, plain,
% 6.19/1.46 (((least_upper_bound @ (greatest_lower_bound @ a @ (multiply @ b @ c)) @
% 6.19/1.46 (multiply @ (greatest_lower_bound @ a @ b) @
% 6.19/1.46 (greatest_lower_bound @ a @ c)))
% 6.19/1.46 = (multiply @ (greatest_lower_bound @ a @ b) @
% 6.19/1.46 (greatest_lower_bound @ a @ c)))),
% 6.19/1.46 inference('cnf', [status(esa)], [p8_9a_5])).
% 6.19/1.46 thf(p8_9a_4, axiom, (( greatest_lower_bound @ a @ b ) = ( identity ))).
% 6.19/1.46 thf(zip_derived_cl18, plain, (((greatest_lower_bound @ a @ b) = (identity))),
% 6.19/1.46 inference('cnf', [status(esa)], [p8_9a_4])).
% 6.19/1.46 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 6.19/1.46 thf(zip_derived_cl0, plain,
% 6.19/1.46 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.19/1.46 inference('cnf', [status(esa)], [left_identity])).
% 6.19/1.46 thf(symmetry_of_lub, axiom,
% 6.19/1.46 (( least_upper_bound @ X @ Y ) = ( least_upper_bound @ Y @ X ))).
% 6.19/1.46 thf(zip_derived_cl4, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i]:
% 6.19/1.46 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 6.19/1.46 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 6.19/1.46 thf(zip_derived_cl18, plain, (((greatest_lower_bound @ a @ b) = (identity))),
% 6.19/1.46 inference('cnf', [status(esa)], [p8_9a_4])).
% 6.19/1.46 thf(zip_derived_cl0, plain,
% 6.19/1.46 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.19/1.46 inference('cnf', [status(esa)], [left_identity])).
% 6.19/1.46 thf(zip_derived_cl25, plain,
% 6.19/1.46 (((least_upper_bound @ (greatest_lower_bound @ a @ c) @
% 6.19/1.46 (greatest_lower_bound @ a @ (multiply @ b @ c)))
% 6.19/1.46 = (greatest_lower_bound @ a @ c))),
% 6.19/1.46 inference('demod', [status(thm)],
% 6.19/1.46 [zip_derived_cl19, zip_derived_cl18, zip_derived_cl0,
% 6.19/1.46 zip_derived_cl4, zip_derived_cl18, zip_derived_cl0])).
% 6.19/1.46 thf(zip_derived_cl4, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i]:
% 6.19/1.46 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 6.19/1.46 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 6.19/1.46 thf(glb_absorbtion, axiom,
% 6.19/1.46 (( greatest_lower_bound @ X @ ( least_upper_bound @ X @ Y ) ) = ( X ))).
% 6.19/1.46 thf(zip_derived_cl10, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i]:
% 6.19/1.46 ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 6.19/1.46 inference('cnf', [status(esa)], [glb_absorbtion])).
% 6.19/1.46 thf(zip_derived_cl54, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i]:
% 6.19/1.46 ((greatest_lower_bound @ X0 @ (least_upper_bound @ X1 @ X0)) = (X0))),
% 6.19/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 6.19/1.46 thf(zip_derived_cl653, plain,
% 6.19/1.46 (((greatest_lower_bound @
% 6.19/1.46 (greatest_lower_bound @ a @ (multiply @ b @ c)) @
% 6.19/1.46 (greatest_lower_bound @ a @ c))
% 6.19/1.46 = (greatest_lower_bound @ a @ (multiply @ b @ c)))),
% 6.19/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl54])).
% 6.19/1.46 thf(associativity_of_glb, axiom,
% 6.19/1.46 (( greatest_lower_bound @ X @ ( greatest_lower_bound @ Y @ Z ) ) =
% 6.19/1.46 ( greatest_lower_bound @ ( greatest_lower_bound @ X @ Y ) @ Z ))).
% 6.19/1.46 thf(zip_derived_cl5, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.46 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 6.19/1.46 = (greatest_lower_bound @ (greatest_lower_bound @ X0 @ X1) @ X2))),
% 6.19/1.46 inference('cnf', [status(esa)], [associativity_of_glb])).
% 6.19/1.46 thf(symmetry_of_glb, axiom,
% 6.19/1.46 (( greatest_lower_bound @ X @ Y ) = ( greatest_lower_bound @ Y @ X ))).
% 6.19/1.46 thf(zip_derived_cl3, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i]:
% 6.19/1.46 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 6.19/1.46 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 6.19/1.46 thf(zip_derived_cl39, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.46 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X2 @ X1))
% 6.19/1.46 = (greatest_lower_bound @ X2 @ (greatest_lower_bound @ X1 @ X0)))),
% 6.19/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 6.19/1.46 thf(zip_derived_cl673, plain,
% 6.19/1.46 (((greatest_lower_bound @ c @
% 6.19/1.46 (greatest_lower_bound @
% 6.19/1.46 (greatest_lower_bound @ a @ (multiply @ b @ c)) @ a))
% 6.19/1.46 = (greatest_lower_bound @ a @ (multiply @ b @ c)))),
% 6.19/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl653, zip_derived_cl39])).
% 6.19/1.46 thf(zip_derived_cl5, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.46 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 6.19/1.46 = (greatest_lower_bound @ (greatest_lower_bound @ X0 @ X1) @ X2))),
% 6.19/1.46 inference('cnf', [status(esa)], [associativity_of_glb])).
% 6.19/1.46 thf(zip_derived_cl3, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i]:
% 6.19/1.46 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 6.19/1.46 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 6.19/1.46 thf(idempotence_of_gld, axiom, (( greatest_lower_bound @ X @ X ) = ( X ))).
% 6.19/1.46 thf(zip_derived_cl8, plain,
% 6.19/1.46 (![X0 : $i]: ((greatest_lower_bound @ X0 @ X0) = (X0))),
% 6.19/1.46 inference('cnf', [status(esa)], [idempotence_of_gld])).
% 6.19/1.46 thf(zip_derived_cl5, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.46 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 6.19/1.46 = (greatest_lower_bound @ (greatest_lower_bound @ X0 @ X1) @ X2))),
% 6.19/1.46 inference('cnf', [status(esa)], [associativity_of_glb])).
% 6.19/1.46 thf(zip_derived_cl46, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i]:
% 6.19/1.46 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X0 @ X1))
% 6.19/1.46 = (greatest_lower_bound @ X0 @ X1))),
% 6.19/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 6.19/1.46 thf(zip_derived_cl39, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.46 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X2 @ X1))
% 6.19/1.46 = (greatest_lower_bound @ X2 @ (greatest_lower_bound @ X1 @ X0)))),
% 6.19/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 6.19/1.46 thf(zip_derived_cl3, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i]:
% 6.19/1.46 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 6.19/1.46 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 6.19/1.46 thf(zip_derived_cl683, plain,
% 6.19/1.46 (((greatest_lower_bound @ a @
% 6.19/1.46 (greatest_lower_bound @ c @ (multiply @ b @ c)))
% 6.19/1.46 = (greatest_lower_bound @ a @ (multiply @ b @ c)))),
% 6.19/1.46 inference('demod', [status(thm)],
% 6.19/1.46 [zip_derived_cl673, zip_derived_cl5, zip_derived_cl3,
% 6.19/1.46 zip_derived_cl46, zip_derived_cl39, zip_derived_cl3])).
% 6.19/1.46 thf(p8_9a_2, axiom, (( least_upper_bound @ identity @ b ) = ( b ))).
% 6.19/1.46 thf(zip_derived_cl16, plain, (((least_upper_bound @ identity @ b) = (b))),
% 6.19/1.46 inference('cnf', [status(esa)], [p8_9a_2])).
% 6.19/1.46 thf(monotony_lub2, axiom,
% 6.19/1.46 (( multiply @ ( least_upper_bound @ Y @ Z ) @ X ) =
% 6.19/1.46 ( least_upper_bound @ ( multiply @ Y @ X ) @ ( multiply @ Z @ X ) ))).
% 6.19/1.46 thf(zip_derived_cl13, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.46 ((multiply @ (least_upper_bound @ X0 @ X2) @ X1)
% 6.19/1.46 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 6.19/1.46 inference('cnf', [status(esa)], [monotony_lub2])).
% 6.19/1.46 thf(zip_derived_cl10, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i]:
% 6.19/1.46 ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 6.19/1.46 inference('cnf', [status(esa)], [glb_absorbtion])).
% 6.19/1.46 thf(zip_derived_cl143, plain,
% 6.19/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.19/1.46 ((greatest_lower_bound @ (multiply @ X2 @ X0) @
% 6.19/1.46 (multiply @ (least_upper_bound @ X2 @ X1) @ X0))
% 6.19/1.46 = (multiply @ X2 @ X0))),
% 6.19/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl10])).
% 6.19/1.46 thf(zip_derived_cl3664, plain,
% 6.19/1.46 (![X0 : $i]:
% 6.19/1.46 ((greatest_lower_bound @ (multiply @ identity @ X0) @
% 6.19/1.46 (multiply @ b @ X0)) = (multiply @ identity @ X0))),
% 6.19/1.46 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl143])).
% 6.19/1.46 thf(zip_derived_cl0, plain,
% 6.19/1.46 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.19/1.46 inference('cnf', [status(esa)], [left_identity])).
% 6.19/1.46 thf(zip_derived_cl0, plain,
% 6.19/1.46 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.19/1.46 inference('cnf', [status(esa)], [left_identity])).
% 6.19/1.46 thf(zip_derived_cl3698, plain,
% 6.19/1.46 (![X0 : $i]: ((greatest_lower_bound @ X0 @ (multiply @ b @ X0)) = (X0))),
% 6.19/1.46 inference('demod', [status(thm)],
% 6.19/1.46 [zip_derived_cl3664, zip_derived_cl0, zip_derived_cl0])).
% 6.19/1.46 thf(zip_derived_cl3996, plain,
% 6.19/1.46 (((greatest_lower_bound @ a @ c)
% 6.19/1.46 = (greatest_lower_bound @ a @ (multiply @ b @ c)))),
% 6.19/1.46 inference('demod', [status(thm)], [zip_derived_cl683, zip_derived_cl3698])).
% 6.19/1.46 thf(prove_p8_9a, conjecture,
% 6.19/1.46 (( greatest_lower_bound @ a @ ( multiply @ b @ c ) ) =
% 6.19/1.46 ( greatest_lower_bound @ a @ c ))).
% 6.19/1.46 thf(zf_stmt_0, negated_conjecture,
% 6.19/1.46 (( greatest_lower_bound @ a @ ( multiply @ b @ c ) ) !=
% 6.19/1.46 ( greatest_lower_bound @ a @ c )),
% 6.19/1.46 inference('cnf.neg', [status(esa)], [prove_p8_9a])).
% 6.19/1.46 thf(zip_derived_cl20, plain,
% 6.19/1.46 (((greatest_lower_bound @ a @ (multiply @ b @ c))
% 6.19/1.46 != (greatest_lower_bound @ a @ c))),
% 6.19/1.46 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.19/1.46 thf(zip_derived_cl3997, plain, ($false),
% 6.19/1.46 inference('simplify_reflect-', [status(thm)],
% 6.19/1.46 [zip_derived_cl3996, zip_derived_cl20])).
% 6.19/1.46
% 6.19/1.46 % SZS output end Refutation
% 6.19/1.46
% 6.19/1.46
% 6.19/1.46 % Terminating...
% 6.67/1.55 % Runner terminated.
% 6.67/1.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------