%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP171-2 : 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.G1UpWM3vq2 true
% Computer : n023.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 5.87s 1.45s
% Output : Refutation 5.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP171-2 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G1UpWM3vq2 true
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 14:25:23 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.45/0.57 % Total configuration time : 435
% 0.45/0.57 % Estimated wc time : 1092
% 0.45/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.46/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 5.87/1.45 % Solved by fo/fo6_bce.sh.
% 5.87/1.45 % BCE start: 18
% 5.87/1.45 % BCE eliminated: 0
% 5.87/1.45 % PE start: 18
% 5.87/1.45 logic: eq
% 5.87/1.45 % PE eliminated: 0
% 5.87/1.45 % done 207 iterations in 0.748s
% 5.87/1.45 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.87/1.45 % SZS output start Refutation
% 5.87/1.45 thf(b_type, type, b: $i).
% 5.87/1.45 thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 5.87/1.45 thf(identity_type, type, identity: $i).
% 5.87/1.45 thf(multiply_type, type, multiply: $i > $i > $i).
% 5.87/1.45 thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 5.87/1.45 thf(inverse_type, type, inverse: $i > $i).
% 5.87/1.45 thf(a_type, type, a: $i).
% 5.87/1.45 thf(p04c_2, axiom, (( least_upper_bound @ identity @ b ) = ( b ))).
% 5.87/1.45 thf(zip_derived_cl16, plain, (((least_upper_bound @ identity @ b) = (b))),
% 5.87/1.45 inference('cnf', [status(esa)], [p04c_2])).
% 5.87/1.45 thf(monotony_lub1, axiom,
% 5.87/1.45 (( multiply @ X @ ( least_upper_bound @ Y @ Z ) ) =
% 5.87/1.45 ( least_upper_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 5.87/1.45 thf(zip_derived_cl11, plain,
% 5.87/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.87/1.45 ((multiply @ X0 @ (least_upper_bound @ X1 @ X2))
% 5.87/1.45 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 5.87/1.45 inference('cnf', [status(esa)], [monotony_lub1])).
% 5.87/1.45 thf(glb_absorbtion, axiom,
% 5.87/1.45 (( greatest_lower_bound @ X @ ( least_upper_bound @ X @ Y ) ) = ( X ))).
% 5.87/1.45 thf(zip_derived_cl10, plain,
% 5.87/1.45 (![X0 : $i, X1 : $i]:
% 5.87/1.45 ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 5.87/1.45 inference('cnf', [status(esa)], [glb_absorbtion])).
% 5.87/1.45 thf(zip_derived_cl111, plain,
% 5.87/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.87/1.45 ((greatest_lower_bound @ (multiply @ X2 @ X1) @
% 5.87/1.45 (multiply @ X2 @ (least_upper_bound @ X1 @ X0)))
% 5.87/1.45 = (multiply @ X2 @ X1))),
% 5.87/1.45 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl10])).
% 5.87/1.45 thf(zip_derived_cl2401, plain,
% 5.87/1.45 (![X0 : $i]:
% 5.87/1.45 ((greatest_lower_bound @ (multiply @ X0 @ identity) @
% 5.87/1.45 (multiply @ X0 @ b)) = (multiply @ X0 @ identity))),
% 5.87/1.45 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl111])).
% 5.87/1.45 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 5.87/1.45 thf(zip_derived_cl1, plain,
% 5.87/1.45 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 5.87/1.45 inference('cnf', [status(esa)], [left_inverse])).
% 5.87/1.45 thf(zip_derived_cl1, plain,
% 5.87/1.45 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 5.87/1.45 inference('cnf', [status(esa)], [left_inverse])).
% 5.87/1.45 thf(associativity, axiom,
% 5.87/1.45 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 5.87/1.45 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 5.87/1.45 thf(zip_derived_cl2, plain,
% 5.87/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.87/1.45 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 5.87/1.45 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 5.87/1.45 inference('cnf', [status(esa)], [associativity])).
% 5.87/1.45 thf(zip_derived_cl23, plain,
% 5.87/1.45 (![X0 : $i, X1 : $i]:
% 5.87/1.45 ((multiply @ identity @ X0)
% 5.87/1.45 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 5.87/1.45 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.87/1.45 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 5.87/1.45 thf(zip_derived_cl0, plain,
% 5.87/1.45 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.87/1.45 inference('cnf', [status(esa)], [left_identity])).
% 5.87/1.45 thf(zip_derived_cl25, plain,
% 5.87/1.45 (![X0 : $i, X1 : $i]:
% 5.87/1.45 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 5.87/1.45 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 5.87/1.45 thf(zip_derived_cl33, plain,
% 5.87/1.45 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 5.87/1.45 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl25])).
% 5.87/1.45 thf(zip_derived_cl25, plain,
% 5.87/1.45 (![X0 : $i, X1 : $i]:
% 5.87/1.45 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 5.87/1.45 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 5.87/1.45 thf(zip_derived_cl25, plain,
% 5.87/1.45 (![X0 : $i, X1 : $i]:
% 5.87/1.45 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 5.87/1.45 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 5.87/1.45 thf(zip_derived_cl30, plain,
% 5.87/1.45 (![X0 : $i, X1 : $i]:
% 5.87/1.45 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 5.87/1.45 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl25])).
% 5.87/1.45 thf(zip_derived_cl208, plain,
% 5.87/1.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.87/1.45 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl30])).
% 5.87/1.45 thf(zip_derived_cl208, plain,
% 5.87/1.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.87/1.45 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl30])).
% 5.87/1.45 thf(zip_derived_cl2423, plain,
% 5.87/1.45 (![X0 : $i]: ((greatest_lower_bound @ X0 @ (multiply @ X0 @ b)) = (X0))),
% 5.87/1.45 inference('demod', [status(thm)],
% 5.87/1.45 [zip_derived_cl2401, zip_derived_cl208, zip_derived_cl208])).
% 5.87/1.45 thf(p04c_1, axiom, (( least_upper_bound @ identity @ a ) = ( a ))).
% 5.87/1.45 thf(zip_derived_cl15, plain, (((least_upper_bound @ identity @ a) = (a))),
% 5.87/1.45 inference('cnf', [status(esa)], [p04c_1])).
% 5.87/1.45 thf(zip_derived_cl10, plain,
% 5.87/1.45 (![X0 : $i, X1 : $i]:
% 5.87/1.45 ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 5.87/1.45 inference('cnf', [status(esa)], [glb_absorbtion])).
% 5.87/1.45 thf(zip_derived_cl100, plain,
% 5.87/1.45 (((greatest_lower_bound @ identity @ a) = (identity))),
% 5.87/1.45 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl10])).
% 5.87/1.45 thf(associativity_of_glb, axiom,
% 5.87/1.45 (( greatest_lower_bound @ X @ ( greatest_lower_bound @ Y @ Z ) ) =
% 5.87/1.45 ( greatest_lower_bound @ ( greatest_lower_bound @ X @ Y ) @ Z ))).
% 5.87/1.45 thf(zip_derived_cl5, plain,
% 5.87/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.87/1.45 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 5.87/1.45 = (greatest_lower_bound @ (greatest_lower_bound @ X0 @ X1) @ X2))),
% 5.87/1.45 inference('cnf', [status(esa)], [associativity_of_glb])).
% 5.87/1.45 thf(zip_derived_cl103, plain,
% 5.87/1.45 (![X0 : $i]:
% 5.87/1.45 ((greatest_lower_bound @ identity @ (greatest_lower_bound @ a @ X0))
% 5.87/1.45 = (greatest_lower_bound @ identity @ X0))),
% 5.87/1.45 inference('s_sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl5])).
% 5.87/1.45 thf(zip_derived_cl2455, plain,
% 5.87/1.45 (((greatest_lower_bound @ identity @ a)
% 5.87/1.45 = (greatest_lower_bound @ identity @ (multiply @ a @ b)))),
% 5.87/1.45 inference('s_sup+', [status(thm)],
% 5.87/1.45 [zip_derived_cl2423, zip_derived_cl103])).
% 5.87/1.45 thf(zip_derived_cl100, plain,
% 5.87/1.45 (((greatest_lower_bound @ identity @ a) = (identity))),
% 5.87/1.45 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl10])).
% 5.87/1.45 thf(zip_derived_cl2468, plain,
% 5.87/1.45 (((identity) = (greatest_lower_bound @ identity @ (multiply @ a @ b)))),
% 5.87/1.45 inference('demod', [status(thm)], [zip_derived_cl2455, zip_derived_cl100])).
% 5.87/1.45 thf(prove_p04c, conjecture,
% 5.87/1.45 (( greatest_lower_bound @ identity @ ( multiply @ a @ b ) ) = ( identity ))).
% 5.87/1.45 thf(zf_stmt_0, negated_conjecture,
% 5.87/1.45 (( greatest_lower_bound @ identity @ ( multiply @ a @ b ) ) != ( identity )),
% 5.87/1.45 inference('cnf.neg', [status(esa)], [prove_p04c])).
% 5.87/1.45 thf(zip_derived_cl17, plain,
% 5.87/1.45 (((greatest_lower_bound @ identity @ (multiply @ a @ b)) != (identity))),
% 5.87/1.45 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.87/1.45 thf(zip_derived_cl2469, plain, ($false),
% 5.87/1.45 inference('simplify_reflect-', [status(thm)],
% 5.87/1.45 [zip_derived_cl2468, zip_derived_cl17])).
% 5.87/1.45
% 5.87/1.45 % SZS output end Refutation
% 5.87/1.45
% 5.87/1.45
% 5.87/1.45 % Terminating...
% 6.47/1.50 % Runner terminated.
% 6.47/1.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------