%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP451-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NKTmEjBHlJ true
% Computer : n012.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 04:36:28 PM UTC 2025
% Result : Unsatisfiable 0.67s 0.71s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP451-1 : TPTP v9.2.0. Released v2.6.0.
% 0.02/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NKTmEjBHlJ true
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 14:17:23 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.47/0.56 % Total configuration time : 435
% 0.47/0.56 % Estimated wc time : 1092
% 0.47/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.67/0.65 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.67/0.66 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.67/0.66 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.67/0.66 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.67/0.66 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.67/0.66 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.67/0.67 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.67/0.71 % Solved by fo/fo3_bce.sh.
% 0.67/0.71 % BCE start: 4
% 0.67/0.71 % BCE eliminated: 0
% 0.67/0.71 % PE start: 4
% 0.67/0.71 logic: eq
% 0.67/0.71 % PE eliminated: 0
% 0.67/0.71 % done 13 iterations in 0.023s
% 0.67/0.71 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.67/0.71 % SZS output start Refutation
% 0.67/0.71 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.67/0.71 thf(b1_type, type, b1: $i).
% 0.67/0.71 thf(a1_type, type, a1: $i).
% 0.67/0.71 thf(divide_type, type, divide: $i > $i > $i).
% 0.67/0.71 thf(inverse_type, type, inverse: $i > $i).
% 0.67/0.71 thf(inverse, axiom, (( inverse @ A ) = ( divide @ ( divide @ B @ B ) @ A ))).
% 0.67/0.71 thf(zip_derived_cl2, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i]:
% 0.67/0.71 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.67/0.71 inference('cnf', [status(esa)], [inverse])).
% 0.67/0.71 thf(zip_derived_cl2, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i]:
% 0.67/0.71 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.67/0.71 inference('cnf', [status(esa)], [inverse])).
% 0.67/0.71 thf(single_axiom, axiom,
% 0.67/0.71 (( divide @
% 0.67/0.71 ( divide @
% 0.67/0.71 ( divide @ A @ A ) @
% 0.67/0.71 ( divide @
% 0.67/0.71 A @
% 0.67/0.71 ( divide @ B @ ( divide @ ( divide @ ( divide @ A @ A ) @ A ) @ C ) ) ) ) @
% 0.67/0.71 C ) =
% 0.67/0.71 ( B ))).
% 0.67/0.71 thf(zip_derived_cl0, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.71 ((divide @
% 0.67/0.71 (divide @ (divide @ X1 @ X1) @
% 0.67/0.71 (divide @ X1 @
% 0.67/0.71 (divide @ X0 @ (divide @ (divide @ (divide @ X1 @ X1) @ X1) @ X2)))) @
% 0.67/0.71 X2) = (X0))),
% 0.67/0.71 inference('cnf', [status(esa)], [single_axiom])).
% 0.67/0.71 thf(zip_derived_cl2, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i]:
% 0.67/0.71 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.67/0.71 inference('cnf', [status(esa)], [inverse])).
% 0.67/0.71 thf(zip_derived_cl2, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i]:
% 0.67/0.71 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.67/0.71 inference('cnf', [status(esa)], [inverse])).
% 0.67/0.71 thf(zip_derived_cl16, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.71 ((divide @
% 0.67/0.71 (inverse @
% 0.67/0.71 (divide @ X1 @ (divide @ X0 @ (divide @ (inverse @ X1) @ X2)))) @
% 0.67/0.71 X2) = (X0))),
% 0.67/0.71 inference('demod', [status(thm)],
% 0.67/0.71 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.67/0.71 thf(zip_derived_cl19, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.71 ((divide @
% 0.67/0.71 (inverse @
% 0.67/0.71 (inverse @
% 0.67/0.71 (divide @ X2 @ (divide @ (inverse @ (divide @ X1 @ X1)) @ X0)))) @
% 0.67/0.71 X0) = (X2))),
% 0.67/0.71 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl16])).
% 0.67/0.71 thf(zip_derived_cl2, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i]:
% 0.67/0.71 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.67/0.71 inference('cnf', [status(esa)], [inverse])).
% 0.67/0.71 thf(zip_derived_cl2, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i]:
% 0.67/0.71 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.67/0.71 inference('cnf', [status(esa)], [inverse])).
% 0.67/0.71 thf(zip_derived_cl4, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i]:
% 0.67/0.71 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 0.67/0.71 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 0.67/0.71 thf(zip_derived_cl29, plain,
% 0.67/0.71 (![X0 : $i, X2 : $i]:
% 0.67/0.71 ((divide @ (inverse @ (inverse @ (divide @ X2 @ (inverse @ X0)))) @ X0)
% 0.67/0.71 = (X2))),
% 0.67/0.71 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl4])).
% 0.67/0.71 thf(zip_derived_cl38, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i]:
% 0.67/0.71 ((divide @ (inverse @ (inverse @ (inverse @ (inverse @ X0)))) @ X0)
% 0.67/0.71 = (divide @ X1 @ X1))),
% 0.67/0.71 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl29])).
% 0.67/0.71 thf(zip_derived_cl38, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i]:
% 0.67/0.71 ((divide @ (inverse @ (inverse @ (inverse @ (inverse @ X0)))) @ X0)
% 0.67/0.71 = (divide @ X1 @ X1))),
% 0.67/0.71 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl29])).
% 0.67/0.71 thf(zip_derived_cl56, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 0.67/0.71 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl38])).
% 0.67/0.71 thf(prove_these_axioms_1, conjecture,
% 0.67/0.71 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 0.67/0.71 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 0.67/0.71 thf(zf_stmt_0, negated_conjecture,
% 0.67/0.71 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.67/0.71 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 0.67/0.71 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 0.67/0.71 thf(zip_derived_cl3, plain,
% 0.67/0.71 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 0.67/0.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.67/0.71 thf(multiply, axiom,
% 0.67/0.71 (( multiply @ A @ B ) =
% 0.67/0.71 ( divide @ A @ ( divide @ ( divide @ C @ C ) @ B ) ))).
% 0.67/0.71 thf(zip_derived_cl1, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.71 ((multiply @ X0 @ X2)
% 0.67/0.71 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 0.67/0.71 inference('cnf', [status(esa)], [multiply])).
% 0.67/0.71 thf(zip_derived_cl2, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i]:
% 0.67/0.71 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.67/0.71 inference('cnf', [status(esa)], [inverse])).
% 0.67/0.71 thf(zip_derived_cl33, plain,
% 0.67/0.71 (![X0 : $i, X2 : $i]:
% 0.67/0.71 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.67/0.71 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.67/0.71 thf(zip_derived_cl33, plain,
% 0.67/0.71 (![X0 : $i, X2 : $i]:
% 0.67/0.71 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.67/0.71 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.67/0.71 thf(zip_derived_cl34, plain,
% 0.67/0.71 (((divide @ (inverse @ a1) @ (inverse @ a1))
% 0.67/0.71 != (divide @ (inverse @ b1) @ (inverse @ b1)))),
% 0.67/0.71 inference('demod', [status(thm)],
% 0.67/0.71 [zip_derived_cl3, zip_derived_cl33, zip_derived_cl33])).
% 0.67/0.71 thf(zip_derived_cl88, plain,
% 0.67/0.71 (![X0 : $i]:
% 0.67/0.71 ((divide @ (inverse @ a1) @ (inverse @ a1)) != (divide @ X0 @ X0))),
% 0.67/0.71 inference('sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl34])).
% 0.67/0.71 thf(zip_derived_cl56, plain,
% 0.67/0.71 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 0.67/0.71 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl38])).
% 0.67/0.71 thf(zip_derived_cl106, plain, ($false),
% 0.67/0.71 inference('simplify_reflect+', [status(thm)],
% 0.67/0.71 [zip_derived_cl88, zip_derived_cl56])).
% 0.67/0.71
% 0.67/0.71 % SZS output end Refutation
% 0.67/0.71
% 0.67/0.71
% 0.67/0.71 % Terminating...
% 1.68/0.78 % Runner terminated.
% 1.68/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------