%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP552-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ssDGR8AA3M true
% Computer : n002.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 04:36:39 PM UTC 2025
% Result : Unsatisfiable 0.54s 0.81s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP552-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ssDGR8AA3M true
% 0.11/0.34 % Computer : n002.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Wed Oct 1 14:09:08 EDT 2025
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.81 % Solved by fo/fo3_bce.sh.
% 0.54/0.81 % BCE start: 5
% 0.54/0.81 % BCE eliminated: 0
% 0.54/0.81 % PE start: 5
% 0.54/0.81 logic: eq
% 0.54/0.81 % PE eliminated: 0
% 0.54/0.81 % done 44 iterations in 0.051s
% 0.54/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.81 % SZS output start Refutation
% 0.54/0.81 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/0.81 thf(b_type, type, b: $i).
% 0.54/0.81 thf(a_type, type, a: $i).
% 0.54/0.81 thf(identity_type, type, identity: $i).
% 0.54/0.81 thf(divide_type, type, divide: $i > $i > $i).
% 0.54/0.81 thf(inverse_type, type, inverse: $i > $i).
% 0.54/0.81 thf(prove_these_axioms_4, conjecture,
% 0.54/0.81 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.54/0.81 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.81 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.54/0.81 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.54/0.81 thf(zip_derived_cl4, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.54/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.81 thf(multiply, axiom,
% 0.54/0.81 (( multiply @ A @ B ) = ( divide @ A @ ( divide @ identity @ B ) ))).
% 0.54/0.81 thf(zip_derived_cl1, plain,
% 0.54/0.81 (![X0 : $i, X1 : $i]:
% 0.54/0.81 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.54/0.81 inference('cnf', [status(esa)], [multiply])).
% 0.54/0.81 thf(inverse, axiom, (( inverse @ A ) = ( divide @ identity @ A ))).
% 0.54/0.81 thf(zip_derived_cl2, plain,
% 0.54/0.81 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.54/0.81 inference('cnf', [status(esa)], [inverse])).
% 0.54/0.81 thf(zip_derived_cl6, plain,
% 0.54/0.81 (![X0 : $i, X1 : $i]:
% 0.54/0.81 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.54/0.81 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl6, plain,
% 0.54/0.81 (![X0 : $i, X1 : $i]:
% 0.54/0.81 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.54/0.81 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl7, plain,
% 0.54/0.81 (((divide @ a @ (inverse @ b)) != (divide @ b @ (inverse @ a)))),
% 0.54/0.81 inference('demod', [status(thm)],
% 0.54/0.81 [zip_derived_cl4, zip_derived_cl6, zip_derived_cl6])).
% 0.54/0.81 thf(identity, axiom, (( identity ) = ( divide @ A @ A ))).
% 0.54/0.81 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.54/0.81 inference('cnf', [status(esa)], [identity])).
% 0.54/0.81 thf(zip_derived_cl2, plain,
% 0.54/0.81 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.54/0.81 inference('cnf', [status(esa)], [inverse])).
% 0.54/0.81 thf(zip_derived_cl5, plain, (((inverse @ identity) = (identity))),
% 0.54/0.81 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.54/0.81 inference('cnf', [status(esa)], [identity])).
% 0.54/0.81 thf(single_axiom, axiom,
% 0.54/0.81 (( divide @
% 0.54/0.81 ( divide @ identity @ A ) @
% 0.54/0.81 ( divide @ ( divide @ ( divide @ B @ A ) @ C ) @ B ) ) =
% 0.54/0.81 ( C ))).
% 0.54/0.81 thf(zip_derived_cl0, plain,
% 0.54/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.81 ((divide @ (divide @ identity @ X1) @
% 0.54/0.81 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 0.54/0.81 inference('cnf', [status(esa)], [single_axiom])).
% 0.54/0.81 thf(zip_derived_cl2, plain,
% 0.54/0.81 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.54/0.81 inference('cnf', [status(esa)], [inverse])).
% 0.54/0.81 thf(zip_derived_cl8, plain,
% 0.54/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.81 ((divide @ (inverse @ X1) @
% 0.54/0.81 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 0.54/0.81 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl10, plain,
% 0.54/0.81 (![X0 : $i, X1 : $i]:
% 0.54/0.81 ((divide @ (inverse @ X0) @ (divide @ identity @ X1))
% 0.54/0.81 = (divide @ X1 @ X0))),
% 0.54/0.81 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 0.54/0.81 thf(zip_derived_cl2, plain,
% 0.54/0.81 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.54/0.81 inference('cnf', [status(esa)], [inverse])).
% 0.54/0.81 thf(zip_derived_cl15, plain,
% 0.54/0.81 (![X0 : $i, X1 : $i]:
% 0.54/0.81 ((divide @ (inverse @ X0) @ (inverse @ X1)) = (divide @ X1 @ X0))),
% 0.54/0.81 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl23, plain,
% 0.54/0.81 (![X0 : $i]:
% 0.54/0.81 ((divide @ identity @ (inverse @ X0)) = (divide @ X0 @ identity))),
% 0.54/0.81 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl15])).
% 0.54/0.81 thf(zip_derived_cl2, plain,
% 0.54/0.81 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.54/0.81 inference('cnf', [status(esa)], [inverse])).
% 0.54/0.81 thf(zip_derived_cl26, plain,
% 0.54/0.81 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (divide @ X0 @ identity))),
% 0.54/0.81 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.54/0.81 inference('cnf', [status(esa)], [identity])).
% 0.54/0.81 thf(zip_derived_cl8, plain,
% 0.54/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.81 ((divide @ (inverse @ X1) @
% 0.54/0.81 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 0.54/0.81 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl11, plain,
% 0.54/0.81 (![X0 : $i, X1 : $i]:
% 0.54/0.81 ((divide @ (inverse @ X1) @ (divide @ (divide @ identity @ X0) @ X1))
% 0.54/0.81 = (X0))),
% 0.54/0.81 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 0.54/0.81 thf(zip_derived_cl2, plain,
% 0.54/0.81 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.54/0.81 inference('cnf', [status(esa)], [inverse])).
% 0.54/0.81 thf(zip_derived_cl16, plain,
% 0.54/0.81 (![X0 : $i, X1 : $i]:
% 0.54/0.81 ((divide @ (inverse @ X1) @ (divide @ (inverse @ X0) @ X1)) = (X0))),
% 0.54/0.81 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl79, plain,
% 0.54/0.81 (![X0 : $i]:
% 0.54/0.81 ((divide @ (inverse @ identity) @
% 0.54/0.81 (inverse @ (inverse @ (inverse @ X0)))) = (X0))),
% 0.54/0.81 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl16])).
% 0.54/0.81 thf(zip_derived_cl5, plain, (((inverse @ identity) = (identity))),
% 0.54/0.81 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl26, plain,
% 0.54/0.81 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (divide @ X0 @ identity))),
% 0.54/0.81 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl5, plain, (((inverse @ identity) = (identity))),
% 0.54/0.81 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl15, plain,
% 0.54/0.81 (![X0 : $i, X1 : $i]:
% 0.54/0.81 ((divide @ (inverse @ X0) @ (inverse @ X1)) = (divide @ X1 @ X0))),
% 0.54/0.81 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl22, plain,
% 0.54/0.81 (![X0 : $i]:
% 0.54/0.81 ((divide @ (inverse @ X0) @ identity) = (divide @ identity @ X0))),
% 0.54/0.81 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl15])).
% 0.54/0.81 thf(zip_derived_cl2, plain,
% 0.54/0.81 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.54/0.81 inference('cnf', [status(esa)], [inverse])).
% 0.54/0.81 thf(zip_derived_cl25, plain,
% 0.54/0.81 (![X0 : $i]: ((divide @ (inverse @ X0) @ identity) = (inverse @ X0))),
% 0.54/0.81 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl34, plain,
% 0.54/0.81 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ X0))) = (inverse @ X0))),
% 0.54/0.81 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl25])).
% 0.54/0.81 thf(zip_derived_cl2, plain,
% 0.54/0.81 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.54/0.81 inference('cnf', [status(esa)], [inverse])).
% 0.54/0.81 thf(zip_derived_cl90, plain,
% 0.54/0.81 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.54/0.81 inference('demod', [status(thm)],
% 0.54/0.81 [zip_derived_cl79, zip_derived_cl5, zip_derived_cl34,
% 0.54/0.81 zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl15, plain,
% 0.54/0.81 (![X0 : $i, X1 : $i]:
% 0.54/0.81 ((divide @ (inverse @ X0) @ (inverse @ X1)) = (divide @ X1 @ X0))),
% 0.54/0.81 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.54/0.81 thf(zip_derived_cl100, plain,
% 0.54/0.81 (![X0 : $i, X1 : $i]:
% 0.54/0.81 ((divide @ X0 @ (inverse @ X1)) = (divide @ X1 @ (inverse @ X0)))),
% 0.54/0.81 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl15])).
% 0.54/0.81 thf(zip_derived_cl214, plain,
% 0.54/0.81 (((divide @ a @ (inverse @ b)) != (divide @ a @ (inverse @ b)))),
% 0.54/0.81 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl100])).
% 0.54/0.81 thf(zip_derived_cl215, plain, ($false),
% 0.54/0.81 inference('simplify', [status(thm)], [zip_derived_cl214])).
% 0.54/0.81
% 0.54/0.81 % SZS output end Refutation
% 0.54/0.81
% 0.54/0.81
% 0.54/0.81 % Terminating...
% 1.73/0.87 % Runner terminated.
% 1.74/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------