%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP560-1 : 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.k3B5taBVR2 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 04:36:40 PM UTC 2025
% Result : Unsatisfiable 0.51s 0.73s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP560-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.k3B5taBVR2 true
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 14:06:38 EDT 2025
% 0.18/0.33 % CPUTime :
% 0.18/0.33 % Running portfolio for 300 s
% 0.18/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.34 % Number of cores: 8
% 0.18/0.34 % Python version: Python 3.6.8
% 0.18/0.34 % Running in FO mode
% 0.49/0.59 % Total configuration time : 435
% 0.49/0.59 % Estimated wc time : 1092
% 0.49/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.73 % Solved by fo/fo6_bce.sh.
% 0.51/0.73 % BCE start: 3
% 0.51/0.73 % BCE eliminated: 0
% 0.51/0.73 % PE start: 3
% 0.51/0.73 logic: eq
% 0.51/0.73 % PE eliminated: 0
% 0.51/0.73 % done 31 iterations in 0.053s
% 0.51/0.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.73 % SZS output start Refutation
% 0.51/0.73 thf(inverse_type, type, inverse: $i > $i).
% 0.51/0.73 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.51/0.73 thf(b_type, type, b: $i).
% 0.51/0.73 thf(divide_type, type, divide: $i > $i > $i).
% 0.51/0.73 thf(a_type, type, a: $i).
% 0.51/0.73 thf(prove_these_axioms_4, conjecture,
% 0.51/0.73 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.51/0.73 thf(zf_stmt_0, negated_conjecture,
% 0.51/0.73 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.51/0.73 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.51/0.73 thf(zip_derived_cl2, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.51/0.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.73 thf(multiply, axiom,
% 0.51/0.73 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 0.51/0.73 thf(zip_derived_cl1, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.51/0.73 inference('cnf', [status(esa)], [multiply])).
% 0.51/0.74 thf(single_axiom, axiom,
% 0.51/0.74 (( divide @
% 0.51/0.74 A @ ( inverse @ ( divide @ ( divide @ B @ C ) @ ( divide @ A @ C ) ) ) ) =
% 0.51/0.74 ( B ))).
% 0.51/0.74 thf(zip_derived_cl0, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.74 ((divide @ X1 @
% 0.51/0.74 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 0.51/0.74 = (X0))),
% 0.51/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.74 thf(zip_derived_cl5, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.74 ((multiply @ X1 @ (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)))
% 0.51/0.74 = (X2))),
% 0.51/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.51/0.74 thf(zip_derived_cl0, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.74 ((divide @ X1 @
% 0.51/0.74 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 0.51/0.74 = (X0))),
% 0.51/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.74 thf(zip_derived_cl0, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.74 ((divide @ X1 @
% 0.51/0.74 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 0.51/0.74 = (X0))),
% 0.51/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.74 thf(zip_derived_cl6, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.74 ((divide @ X3 @
% 0.51/0.74 (inverse @
% 0.51/0.74 (divide @
% 0.51/0.74 (divide @ X1 @
% 0.51/0.74 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X3 @ X2)))) @
% 0.51/0.74 X0)))
% 0.51/0.74 = (X1))),
% 0.51/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.51/0.74 thf(zip_derived_cl1, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]:
% 0.51/0.74 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.51/0.74 inference('cnf', [status(esa)], [multiply])).
% 0.51/0.74 thf(zip_derived_cl1, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]:
% 0.51/0.74 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.51/0.74 inference('cnf', [status(esa)], [multiply])).
% 0.51/0.74 thf(zip_derived_cl10, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.74 ((multiply @ X3 @
% 0.51/0.74 (divide @
% 0.51/0.74 (multiply @ X1 @ (divide @ (divide @ X0 @ X2) @ (divide @ X3 @ X2))) @
% 0.51/0.74 X0))
% 0.51/0.74 = (X1))),
% 0.51/0.74 inference('demod', [status(thm)],
% 0.51/0.74 [zip_derived_cl6, zip_derived_cl1, zip_derived_cl1])).
% 0.51/0.74 thf(zip_derived_cl33, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 0.51/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl10])).
% 0.51/0.74 thf(zip_derived_cl1, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]:
% 0.51/0.74 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.51/0.74 inference('cnf', [status(esa)], [multiply])).
% 0.51/0.74 thf(zip_derived_cl33, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 0.51/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl10])).
% 0.51/0.74 thf(zip_derived_cl10, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.74 ((multiply @ X3 @
% 0.51/0.74 (divide @
% 0.51/0.74 (multiply @ X1 @ (divide @ (divide @ X0 @ X2) @ (divide @ X3 @ X2))) @
% 0.51/0.74 X0))
% 0.51/0.74 = (X1))),
% 0.51/0.74 inference('demod', [status(thm)],
% 0.51/0.74 [zip_derived_cl6, zip_derived_cl1, zip_derived_cl1])).
% 0.51/0.74 thf(zip_derived_cl44, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ (divide @ X0 @ X1)) = (X0))),
% 0.51/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl10])).
% 0.51/0.74 thf(zip_derived_cl53, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]:
% 0.51/0.74 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 0.51/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl44])).
% 0.51/0.74 thf(zip_derived_cl87, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]:
% 0.51/0.74 ((multiply @ (inverse @ (divide @ X1 @ X1)) @ X0) = (X0))),
% 0.51/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl53])).
% 0.51/0.74 thf(zip_derived_cl1, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]:
% 0.51/0.74 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.51/0.74 inference('cnf', [status(esa)], [multiply])).
% 0.51/0.74 thf(zip_derived_cl0, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.74 ((divide @ X1 @
% 0.51/0.74 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 0.51/0.74 = (X0))),
% 0.51/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.74 thf(zip_derived_cl7, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.74 ((divide @ X1 @
% 0.51/0.74 (inverse @
% 0.51/0.74 (divide @ (divide @ X2 @ (inverse @ X0)) @ (multiply @ X1 @ X0))))
% 0.51/0.74 = (X2))),
% 0.51/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.51/0.74 thf(zip_derived_cl1, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]:
% 0.51/0.74 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.51/0.74 inference('cnf', [status(esa)], [multiply])).
% 0.51/0.74 thf(zip_derived_cl1, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]:
% 0.51/0.74 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.51/0.74 inference('cnf', [status(esa)], [multiply])).
% 0.51/0.74 thf(zip_derived_cl11, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.74 ((multiply @ X1 @
% 0.51/0.74 (divide @ (multiply @ X2 @ X0) @ (multiply @ X1 @ X0))) = (X2))),
% 0.51/0.74 inference('demod', [status(thm)],
% 0.51/0.74 [zip_derived_cl7, zip_derived_cl1, zip_derived_cl1])).
% 0.51/0.74 thf(zip_derived_cl98, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.74 ((divide @ (multiply @ X2 @ X0) @
% 0.51/0.74 (multiply @ (inverse @ (divide @ X1 @ X1)) @ X0)) = (X2))),
% 0.51/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl11])).
% 0.51/0.74 thf(zip_derived_cl87, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]:
% 0.51/0.74 ((multiply @ (inverse @ (divide @ X1 @ X1)) @ X0) = (X0))),
% 0.51/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl53])).
% 0.51/0.74 thf(zip_derived_cl108, plain,
% 0.51/0.74 (![X0 : $i, X2 : $i]: ((divide @ (multiply @ X2 @ X0) @ X0) = (X2))),
% 0.51/0.74 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl87])).
% 0.51/0.74 thf(zip_derived_cl44, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ (divide @ X0 @ X1)) = (X0))),
% 0.51/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl10])).
% 0.51/0.74 thf(zip_derived_cl229, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 0.51/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl44])).
% 0.51/0.74 thf(zip_derived_cl241, plain, (((multiply @ a @ b) != (multiply @ a @ b))),
% 0.51/0.74 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl229])).
% 0.51/0.74 thf(zip_derived_cl242, plain, ($false),
% 0.51/0.74 inference('simplify', [status(thm)], [zip_derived_cl241])).
% 0.51/0.74
% 0.51/0.74 % SZS output end Refutation
% 0.51/0.74
% 0.51/0.74
% 0.51/0.74 % Terminating...
% 0.54/0.80 % Runner terminated.
% 0.54/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------