%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP564-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.e6O730zDtZ true
% Computer : n008.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 04:36:41 PM UTC 2025
% Result : Unsatisfiable 1.28s 0.89s
% Output : Refutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP564-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.09/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.e6O730zDtZ true
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 14:23:53 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.17/0.60 % Total configuration time : 435
% 0.17/0.60 % Estimated wc time : 1092
% 0.17/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.26/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.26/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.26/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.26/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.89 % Solved by fo/fo5.sh.
% 1.28/0.89 % done 52 iterations in 0.149s
% 1.28/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.28/0.89 % SZS output start Refutation
% 1.28/0.89 thf(inverse_type, type, inverse: $i > $i).
% 1.28/0.89 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.28/0.89 thf(b_type, type, b: $i).
% 1.28/0.89 thf(divide_type, type, divide: $i > $i > $i).
% 1.28/0.89 thf(a_type, type, a: $i).
% 1.28/0.89 thf(prove_these_axioms_4, conjecture,
% 1.28/0.89 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 1.28/0.89 thf(zf_stmt_0, negated_conjecture,
% 1.28/0.89 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 1.28/0.89 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 1.28/0.89 thf(zip_derived_cl2, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 1.28/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.28/0.89 thf(multiply, axiom,
% 1.28/0.89 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 1.28/0.89 thf(zip_derived_cl1, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]:
% 1.28/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.28/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.28/0.89 thf(single_axiom, axiom,
% 1.28/0.89 (( divide @
% 1.28/0.89 ( divide @ ( divide @ A @ ( inverse @ B ) ) @ C ) @ ( divide @ A @ C ) ) =
% 1.28/0.89 ( B ))).
% 1.28/0.89 thf(zip_derived_cl0, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.89 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 1.28/0.89 (divide @ X1 @ X2)) = (X0))),
% 1.28/0.89 inference('cnf', [status(esa)], [single_axiom])).
% 1.28/0.89 thf(zip_derived_cl1, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]:
% 1.28/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.28/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.28/0.89 thf(zip_derived_cl3, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.89 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 1.28/0.89 = (X0))),
% 1.28/0.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl5, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.89 ((divide @ (divide @ (multiply @ X1 @ X2) @ (inverse @ X0)) @
% 1.28/0.89 (multiply @ X1 @ X0)) = (X2))),
% 1.28/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 1.28/0.89 thf(zip_derived_cl1, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]:
% 1.28/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.28/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.28/0.89 thf(zip_derived_cl8, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.89 ((divide @ (multiply @ (multiply @ X1 @ X2) @ X0) @
% 1.28/0.89 (multiply @ X1 @ X0)) = (X2))),
% 1.28/0.89 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl3, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.89 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 1.28/0.89 = (X0))),
% 1.28/0.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl10, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.89 ((divide @
% 1.28/0.89 (divide @
% 1.28/0.89 (multiply @ (multiply @ (multiply @ X3 @ X0) @ X2) @ X1) @
% 1.28/0.89 (multiply @ X3 @ X2)) @
% 1.28/0.89 X0) = (X1))),
% 1.28/0.89 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl3])).
% 1.28/0.89 thf(zip_derived_cl1, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]:
% 1.28/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.28/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.28/0.89 thf(zip_derived_cl29, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.89 ((multiply @
% 1.28/0.89 (divide @
% 1.28/0.89 (multiply @ (multiply @ (multiply @ X3 @ (inverse @ X1)) @ X2) @ X0) @
% 1.28/0.89 (multiply @ X3 @ X2)) @
% 1.28/0.89 X1) = (X0))),
% 1.28/0.89 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl3, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.89 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 1.28/0.89 = (X0))),
% 1.28/0.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl3, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.89 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 1.28/0.89 = (X0))),
% 1.28/0.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl4, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.89 ((divide @
% 1.28/0.89 (divide @ (multiply @ (divide @ (multiply @ X3 @ X0) @ X2) @ X1) @
% 1.28/0.89 (divide @ X3 @ X2)) @
% 1.28/0.89 X0) = (X1))),
% 1.28/0.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 1.28/0.89 thf(zip_derived_cl53, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.89 ((divide @
% 1.28/0.89 (divide @ X0 @
% 1.28/0.89 (divide @ (multiply @ (multiply @ X3 @ (inverse @ X1)) @ X2) @
% 1.28/0.89 (multiply @ X3 @ X2))) @
% 1.28/0.89 X0) = (X1))),
% 1.28/0.89 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl4])).
% 1.28/0.89 thf(zip_derived_cl8, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.89 ((divide @ (multiply @ (multiply @ X1 @ X2) @ X0) @
% 1.28/0.89 (multiply @ X1 @ X0)) = (X2))),
% 1.28/0.89 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl1, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]:
% 1.28/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.28/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.28/0.89 thf(zip_derived_cl56, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X0 @ X1) @ X0) = (X1))),
% 1.28/0.89 inference('demod', [status(thm)],
% 1.28/0.89 [zip_derived_cl53, zip_derived_cl8, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl56, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X0 @ X1) @ X0) = (X1))),
% 1.28/0.89 inference('demod', [status(thm)],
% 1.28/0.89 [zip_derived_cl53, zip_derived_cl8, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl1, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]:
% 1.28/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.28/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.28/0.89 thf(zip_derived_cl59, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]:
% 1.28/0.89 ((multiply @ (multiply @ (inverse @ X1) @ X0) @ X1) = (X0))),
% 1.28/0.89 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl59, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]:
% 1.28/0.89 ((multiply @ (multiply @ (inverse @ X1) @ X0) @ X1) = (X0))),
% 1.28/0.89 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl56, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X0 @ X1) @ X0) = (X1))),
% 1.28/0.89 inference('demod', [status(thm)],
% 1.28/0.89 [zip_derived_cl53, zip_derived_cl8, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl3, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.89 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 1.28/0.89 = (X0))),
% 1.28/0.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl60, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X1 @ X1)) = (X0))),
% 1.28/0.89 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl3])).
% 1.28/0.89 thf(zip_derived_cl56, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X0 @ X1) @ X0) = (X1))),
% 1.28/0.89 inference('demod', [status(thm)],
% 1.28/0.89 [zip_derived_cl53, zip_derived_cl8, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl93, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X1 @ X1) @ X0) = (X0))),
% 1.28/0.89 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl56])).
% 1.28/0.89 thf(zip_derived_cl8, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.89 ((divide @ (multiply @ (multiply @ X1 @ X2) @ X0) @
% 1.28/0.89 (multiply @ X1 @ X0)) = (X2))),
% 1.28/0.89 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.28/0.89 thf(zip_derived_cl105, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.89 ((divide @ (multiply @ (multiply @ (divide @ X2 @ X2) @ X1) @ X0) @ X0)
% 1.28/0.89 = (X1))),
% 1.28/0.89 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl8])).
% 1.28/0.89 thf(zip_derived_cl93, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X1 @ X1) @ X0) = (X0))),
% 1.28/0.89 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl56])).
% 1.28/0.89 thf(zip_derived_cl123, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 1.28/0.89 inference('demod', [status(thm)], [zip_derived_cl105, zip_derived_cl93])).
% 1.28/0.89 thf(zip_derived_cl150, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]:
% 1.28/0.89 ((divide @ X0 @ X1) = (multiply @ (inverse @ X1) @ X0))),
% 1.28/0.89 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl123])).
% 1.28/0.89 thf(zip_derived_cl392, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 1.28/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl150])).
% 1.28/0.89 thf(zip_derived_cl574, plain,
% 1.28/0.89 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.28/0.89 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl392])).
% 1.28/0.89 thf(zip_derived_cl578, plain, (((multiply @ a @ b) != (multiply @ a @ b))),
% 1.28/0.89 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl574])).
% 1.28/0.89 thf(zip_derived_cl579, plain, ($false),
% 1.28/0.89 inference('simplify', [status(thm)], [zip_derived_cl578])).
% 1.28/0.89
% 1.28/0.89 % SZS output end Refutation
% 1.28/0.89
% 1.28/0.89
% 1.28/0.89 % Terminating...
% 2.28/1.01 % Runner terminated.
% 2.28/1.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------