%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP174-1 : 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.YRkbs7q4uI true
% Computer : n007.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 6.61s 1.64s
% Output : Refutation 6.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP174-1 : 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.YRkbs7q4uI true
% 0.13/0.34 % Computer : n007.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 14:04:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.61/1.64 % Solved by fo/fo13.sh.
% 6.61/1.64 % done 284 iterations in 0.829s
% 6.61/1.64 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.61/1.64 % SZS output start Refutation
% 6.61/1.64 thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 6.61/1.64 thf(identity_type, type, identity: $i).
% 6.61/1.64 thf(multiply_type, type, multiply: $i > $i > $i).
% 6.61/1.64 thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 6.61/1.64 thf(inverse_type, type, inverse: $i > $i).
% 6.61/1.64 thf(a_type, type, a: $i).
% 6.61/1.64 thf(p05b_2, axiom,
% 6.61/1.64 (( greatest_lower_bound @ identity @ ( inverse @ a ) ) = ( inverse @ a ))).
% 6.61/1.64 thf(zip_derived_cl16, plain,
% 6.61/1.64 (((greatest_lower_bound @ identity @ (inverse @ a)) = (inverse @ a))),
% 6.61/1.64 inference('cnf', [status(esa)], [p05b_2])).
% 6.61/1.64 thf(lub_absorbtion, axiom,
% 6.61/1.64 (( least_upper_bound @ X @ ( greatest_lower_bound @ X @ Y ) ) = ( X ))).
% 6.61/1.64 thf(zip_derived_cl9, plain,
% 6.61/1.64 (![X0 : $i, X1 : $i]:
% 6.61/1.64 ((least_upper_bound @ X0 @ (greatest_lower_bound @ X0 @ X1)) = (X0))),
% 6.61/1.64 inference('cnf', [status(esa)], [lub_absorbtion])).
% 6.61/1.64 thf(zip_derived_cl32, plain,
% 6.61/1.64 (((least_upper_bound @ identity @ (inverse @ a)) = (identity))),
% 6.61/1.64 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl9])).
% 6.61/1.64 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 6.61/1.64 thf(zip_derived_cl1, plain,
% 6.61/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.61/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.61/1.64 thf(monotony_lub1, axiom,
% 6.61/1.64 (( multiply @ X @ ( least_upper_bound @ Y @ Z ) ) =
% 6.61/1.64 ( least_upper_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 6.61/1.64 thf(zip_derived_cl11, plain,
% 6.61/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.61/1.64 ((multiply @ X0 @ (least_upper_bound @ X1 @ X2))
% 6.61/1.64 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 6.61/1.64 inference('cnf', [status(esa)], [monotony_lub1])).
% 6.61/1.64 thf(zip_derived_cl74, plain,
% 6.61/1.64 (![X0 : $i, X1 : $i]:
% 6.61/1.64 ((multiply @ (inverse @ X0) @ (least_upper_bound @ X1 @ X0))
% 6.61/1.64 = (least_upper_bound @ (multiply @ (inverse @ X0) @ X1) @ identity))),
% 6.61/1.64 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 6.61/1.64 thf(zip_derived_cl2063, plain,
% 6.61/1.64 (((multiply @ (inverse @ (inverse @ a)) @ identity)
% 6.61/1.64 = (least_upper_bound @
% 6.61/1.64 (multiply @ (inverse @ (inverse @ a)) @ identity) @ identity))),
% 6.61/1.64 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl74])).
% 6.61/1.64 thf(zip_derived_cl1, plain,
% 6.61/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.61/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.61/1.64 thf(zip_derived_cl1, plain,
% 6.61/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.61/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.61/1.64 thf(associativity, axiom,
% 6.61/1.64 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 6.61/1.64 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 6.61/1.64 thf(zip_derived_cl2, plain,
% 6.61/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.61/1.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 6.61/1.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 6.61/1.64 inference('cnf', [status(esa)], [associativity])).
% 6.61/1.64 thf(zip_derived_cl25, plain,
% 6.61/1.64 (![X0 : $i, X1 : $i]:
% 6.61/1.64 ((multiply @ identity @ X0)
% 6.61/1.64 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.61/1.64 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 6.61/1.64 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 6.61/1.64 thf(zip_derived_cl0, plain,
% 6.61/1.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.61/1.64 inference('cnf', [status(esa)], [left_identity])).
% 6.61/1.64 thf(zip_derived_cl27, plain,
% 6.61/1.64 (![X0 : $i, X1 : $i]:
% 6.61/1.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.61/1.64 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 6.61/1.64 thf(zip_derived_cl181, plain,
% 6.61/1.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 6.61/1.64 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl27])).
% 6.61/1.64 thf(zip_derived_cl181, plain,
% 6.61/1.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 6.61/1.64 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl27])).
% 6.61/1.64 thf(symmetry_of_lub, axiom,
% 6.61/1.64 (( least_upper_bound @ X @ Y ) = ( least_upper_bound @ Y @ X ))).
% 6.61/1.64 thf(zip_derived_cl4, plain,
% 6.61/1.64 (![X0 : $i, X1 : $i]:
% 6.61/1.64 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 6.61/1.64 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 6.61/1.64 thf(p05b_1, axiom, (( greatest_lower_bound @ identity @ a ) = ( a ))).
% 6.61/1.64 thf(zip_derived_cl15, plain, (((greatest_lower_bound @ identity @ a) = (a))),
% 6.61/1.64 inference('cnf', [status(esa)], [p05b_1])).
% 6.61/1.64 thf(zip_derived_cl9, plain,
% 6.61/1.64 (![X0 : $i, X1 : $i]:
% 6.61/1.64 ((least_upper_bound @ X0 @ (greatest_lower_bound @ X0 @ X1)) = (X0))),
% 6.61/1.64 inference('cnf', [status(esa)], [lub_absorbtion])).
% 6.61/1.64 thf(zip_derived_cl33, plain,
% 6.61/1.64 (((least_upper_bound @ identity @ a) = (identity))),
% 6.61/1.64 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl9])).
% 6.61/1.64 thf(zip_derived_cl2084, plain, (((a) = (identity))),
% 6.61/1.64 inference('demod', [status(thm)],
% 6.61/1.64 [zip_derived_cl2063, zip_derived_cl181, zip_derived_cl181,
% 6.61/1.64 zip_derived_cl4, zip_derived_cl33])).
% 6.61/1.64 thf(prove_p05b, conjecture, (( identity ) = ( a ))).
% 6.61/1.64 thf(zf_stmt_0, negated_conjecture, (( identity ) != ( a )),
% 6.61/1.64 inference('cnf.neg', [status(esa)], [prove_p05b])).
% 6.61/1.64 thf(zip_derived_cl17, plain, (((identity) != (a))),
% 6.61/1.64 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.61/1.64 thf(zip_derived_cl2085, plain, ($false),
% 6.61/1.64 inference('simplify_reflect-', [status(thm)],
% 6.61/1.64 [zip_derived_cl2084, zip_derived_cl17])).
% 6.61/1.64
% 6.61/1.64 % SZS output end Refutation
% 6.61/1.64
% 6.61/1.64
% 6.61/1.64 % Terminating...
% 7.21/1.67 % Runner terminated.
% 7.21/1.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------