%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP190-2 : 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.Z1rJ69JBHu true
% Computer : n010.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 16.92s 3.06s
% Output : Refutation 16.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP190-2 : 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.Z1rJ69JBHu true
% 0.13/0.34 % Computer : n010.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 14:24:53 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.57/0.63 % Total configuration time : 435
% 0.57/0.63 % Estimated wc time : 1092
% 0.57/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 16.92/3.06 % Solved by fo/fo5.sh.
% 16.92/3.06 % done 1533 iterations in 2.275s
% 16.92/3.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 16.92/3.06 % SZS output start Refutation
% 16.92/3.06 thf(b_type, type, b: $i).
% 16.92/3.06 thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 16.92/3.06 thf(identity_type, type, identity: $i).
% 16.92/3.06 thf(multiply_type, type, multiply: $i > $i > $i).
% 16.92/3.06 thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 16.92/3.06 thf(inverse_type, type, inverse: $i > $i).
% 16.92/3.06 thf(a_type, type, a: $i).
% 16.92/3.06 thf(p39c_1, axiom, (( least_upper_bound @ a @ b ) = ( a ))).
% 16.92/3.06 thf(zip_derived_cl15, plain, (((least_upper_bound @ a @ b) = (a))),
% 16.92/3.06 inference('cnf', [status(esa)], [p39c_1])).
% 16.92/3.06 thf(symmetry_of_lub, axiom,
% 16.92/3.06 (( least_upper_bound @ X @ Y ) = ( least_upper_bound @ Y @ X ))).
% 16.92/3.06 thf(zip_derived_cl4, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i]:
% 16.92/3.06 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 16.92/3.06 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 16.92/3.06 thf(zip_derived_cl50, plain, (((a) = (least_upper_bound @ b @ a))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl4])).
% 16.92/3.06 thf(glb_absorbtion, axiom,
% 16.92/3.06 (( greatest_lower_bound @ X @ ( least_upper_bound @ X @ Y ) ) = ( X ))).
% 16.92/3.06 thf(zip_derived_cl10, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i]:
% 16.92/3.06 ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 16.92/3.06 inference('cnf', [status(esa)], [glb_absorbtion])).
% 16.92/3.06 thf(zip_derived_cl105, plain, (((greatest_lower_bound @ b @ a) = (b))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl10])).
% 16.92/3.06 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 16.92/3.06 thf(zip_derived_cl1, plain,
% 16.92/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.92/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.92/3.06 thf(zip_derived_cl1, plain,
% 16.92/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.92/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.92/3.06 thf(associativity, axiom,
% 16.92/3.06 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 16.92/3.06 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 16.92/3.06 thf(zip_derived_cl2, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.92/3.06 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 16.92/3.06 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 16.92/3.06 inference('cnf', [status(esa)], [associativity])).
% 16.92/3.06 thf(zip_derived_cl25, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i]:
% 16.92/3.06 ((multiply @ identity @ X0)
% 16.92/3.06 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 16.92/3.06 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 16.92/3.06 thf(zip_derived_cl0, plain,
% 16.92/3.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 16.92/3.06 inference('cnf', [status(esa)], [left_identity])).
% 16.92/3.06 thf(zip_derived_cl27, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i]:
% 16.92/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.92/3.06 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 16.92/3.06 thf(zip_derived_cl33, plain,
% 16.92/3.06 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl27])).
% 16.92/3.06 thf(zip_derived_cl27, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i]:
% 16.92/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.92/3.06 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 16.92/3.06 thf(zip_derived_cl27, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i]:
% 16.92/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.92/3.06 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 16.92/3.06 thf(zip_derived_cl30, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i]:
% 16.92/3.06 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl27])).
% 16.92/3.06 thf(zip_derived_cl258, plain,
% 16.92/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl30])).
% 16.92/3.06 thf(zip_derived_cl33, plain,
% 16.92/3.06 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl27])).
% 16.92/3.06 thf(zip_derived_cl283, plain,
% 16.92/3.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl33])).
% 16.92/3.06 thf(zip_derived_cl1, plain,
% 16.92/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.92/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.92/3.06 thf(zip_derived_cl292, plain,
% 16.92/3.06 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl283, zip_derived_cl1])).
% 16.92/3.06 thf(monotony_glb2, axiom,
% 16.92/3.06 (( multiply @ ( greatest_lower_bound @ Y @ Z ) @ X ) =
% 16.92/3.06 ( greatest_lower_bound @ ( multiply @ Y @ X ) @ ( multiply @ Z @ X ) ))).
% 16.92/3.06 thf(zip_derived_cl14, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.92/3.06 ((multiply @ (greatest_lower_bound @ X0 @ X2) @ X1)
% 16.92/3.06 = (greatest_lower_bound @ (multiply @ X0 @ X1) @
% 16.92/3.06 (multiply @ X2 @ X1)))),
% 16.92/3.06 inference('cnf', [status(esa)], [monotony_glb2])).
% 16.92/3.06 thf(zip_derived_cl301, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i]:
% 16.92/3.06 ((multiply @ (greatest_lower_bound @ X0 @ X1) @ (inverse @ X0))
% 16.92/3.06 = (greatest_lower_bound @ identity @
% 16.92/3.06 (multiply @ X1 @ (inverse @ X0))))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl292, zip_derived_cl14])).
% 16.92/3.06 thf(zip_derived_cl16295, plain,
% 16.92/3.06 (((multiply @ b @ (inverse @ b))
% 16.92/3.06 = (greatest_lower_bound @ identity @ (multiply @ a @ (inverse @ b))))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl301])).
% 16.92/3.06 thf(zip_derived_cl292, plain,
% 16.92/3.06 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl283, zip_derived_cl1])).
% 16.92/3.06 thf(zip_derived_cl16347, plain,
% 16.92/3.06 (((identity)
% 16.92/3.06 = (greatest_lower_bound @ identity @ (multiply @ a @ (inverse @ b))))),
% 16.92/3.06 inference('demod', [status(thm)],
% 16.92/3.06 [zip_derived_cl16295, zip_derived_cl292])).
% 16.92/3.06 thf(zip_derived_cl27, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i]:
% 16.92/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.92/3.06 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 16.92/3.06 thf(monotony_glb1, axiom,
% 16.92/3.06 (( multiply @ X @ ( greatest_lower_bound @ Y @ Z ) ) =
% 16.92/3.06 ( greatest_lower_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 16.92/3.06 thf(zip_derived_cl12, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.92/3.06 ((multiply @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 16.92/3.06 = (greatest_lower_bound @ (multiply @ X0 @ X1) @
% 16.92/3.06 (multiply @ X0 @ X2)))),
% 16.92/3.06 inference('cnf', [status(esa)], [monotony_glb1])).
% 16.92/3.06 thf(zip_derived_cl89, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.92/3.06 ((multiply @ (inverse @ X1) @
% 16.92/3.06 (greatest_lower_bound @ X2 @ (multiply @ X1 @ X0)))
% 16.92/3.06 = (greatest_lower_bound @ (multiply @ (inverse @ X1) @ X2) @ X0))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl12])).
% 16.92/3.06 thf(zip_derived_cl16414, plain,
% 16.92/3.06 (((multiply @ (inverse @ a) @ identity)
% 16.92/3.06 = (greatest_lower_bound @ (multiply @ (inverse @ a) @ identity) @
% 16.92/3.06 (inverse @ b)))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl16347, zip_derived_cl89])).
% 16.92/3.06 thf(zip_derived_cl258, plain,
% 16.92/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl30])).
% 16.92/3.06 thf(zip_derived_cl258, plain,
% 16.92/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.92/3.06 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl30])).
% 16.92/3.06 thf(symmetry_of_glb, axiom,
% 16.92/3.06 (( greatest_lower_bound @ X @ Y ) = ( greatest_lower_bound @ Y @ X ))).
% 16.92/3.06 thf(zip_derived_cl3, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i]:
% 16.92/3.06 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 16.92/3.06 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 16.92/3.06 thf(zip_derived_cl16433, plain,
% 16.92/3.06 (((inverse @ a) = (greatest_lower_bound @ (inverse @ b) @ (inverse @ a)))),
% 16.92/3.06 inference('demod', [status(thm)],
% 16.92/3.06 [zip_derived_cl16414, zip_derived_cl258, zip_derived_cl258,
% 16.92/3.06 zip_derived_cl3])).
% 16.92/3.06 thf(prove_p39c, conjecture,
% 16.92/3.06 (( greatest_lower_bound @ ( inverse @ a ) @ ( inverse @ b ) ) =
% 16.92/3.06 ( inverse @ a ))).
% 16.92/3.06 thf(zf_stmt_0, negated_conjecture,
% 16.92/3.06 (( greatest_lower_bound @ ( inverse @ a ) @ ( inverse @ b ) ) !=
% 16.92/3.06 ( inverse @ a )),
% 16.92/3.06 inference('cnf.neg', [status(esa)], [prove_p39c])).
% 16.92/3.06 thf(zip_derived_cl16, plain,
% 16.92/3.06 (((greatest_lower_bound @ (inverse @ a) @ (inverse @ b)) != (inverse @ a))),
% 16.92/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 16.92/3.06 thf(zip_derived_cl3, plain,
% 16.92/3.06 (![X0 : $i, X1 : $i]:
% 16.92/3.06 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 16.92/3.06 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 16.92/3.06 thf(zip_derived_cl42, plain,
% 16.92/3.06 (((greatest_lower_bound @ (inverse @ b) @ (inverse @ a)) != (inverse @ a))),
% 16.92/3.06 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl3])).
% 16.92/3.06 thf(zip_derived_cl16434, plain, ($false),
% 16.92/3.06 inference('simplify_reflect-', [status(thm)],
% 16.92/3.06 [zip_derived_cl16433, zip_derived_cl42])).
% 16.92/3.06
% 16.92/3.06 % SZS output end Refutation
% 16.92/3.06
% 16.92/3.06
% 16.92/3.06 % Terminating...
% 17.88/3.16 % Runner terminated.
% 17.88/3.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------