%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP558-1 : 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.3reiFUBZUe true
% Computer : n017.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 0.48s 0.73s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP558-1 : TPTP v9.2.0. Released v2.6.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3reiFUBZUe true
% 0.12/0.33 % Computer : n017.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 14:03:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.45/0.56 % Total configuration time : 435
% 0.45/0.56 % Estimated wc time : 1092
% 0.45/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.73 % Solved by fo/fo3_bce.sh.
% 0.48/0.73 % BCE start: 3
% 0.48/0.73 % BCE eliminated: 0
% 0.48/0.73 % PE start: 3
% 0.48/0.73 logic: eq
% 0.48/0.73 % PE eliminated: 0
% 0.48/0.73 % done 18 iterations in 0.044s
% 0.48/0.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.73 % SZS output start Refutation
% 0.48/0.73 thf(inverse_type, type, inverse: $i > $i).
% 0.48/0.73 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.48/0.73 thf(a2_type, type, a2: $i).
% 0.48/0.73 thf(divide_type, type, divide: $i > $i > $i).
% 0.48/0.73 thf(b2_type, type, b2: $i).
% 0.48/0.73 thf(single_axiom, axiom,
% 0.48/0.73 (( divide @
% 0.48/0.73 A @ ( inverse @ ( divide @ ( divide @ B @ C ) @ ( divide @ A @ C ) ) ) ) =
% 0.48/0.73 ( B ))).
% 0.48/0.73 thf(zip_derived_cl0, plain,
% 0.48/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.73 ((divide @ X1 @
% 0.48/0.73 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 0.48/0.73 = (X0))),
% 0.48/0.73 inference('cnf', [status(esa)], [single_axiom])).
% 0.48/0.73 thf(zip_derived_cl0, plain,
% 0.48/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.73 ((divide @ X1 @
% 0.48/0.73 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 0.48/0.73 = (X0))),
% 0.48/0.73 inference('cnf', [status(esa)], [single_axiom])).
% 0.48/0.73 thf(zip_derived_cl0, plain,
% 0.48/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.73 ((divide @ X1 @
% 0.48/0.73 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 0.48/0.73 = (X0))),
% 0.48/0.73 inference('cnf', [status(esa)], [single_axiom])).
% 0.48/0.73 thf(zip_derived_cl4, plain,
% 0.48/0.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.73 ((divide @ X3 @
% 0.48/0.73 (inverse @
% 0.48/0.73 (divide @ X0 @
% 0.48/0.73 (divide @ X3 @
% 0.48/0.73 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2)))))))
% 0.48/0.73 = (X1))),
% 0.48/0.73 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.48/0.73 thf(zip_derived_cl12, plain,
% 0.48/0.73 (![X0 : $i, X1 : $i]:
% 0.48/0.73 ((divide @ X1 @ (inverse @ (divide @ X0 @ X0))) = (X1))),
% 0.48/0.73 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.48/0.73 thf(zip_derived_cl4, plain,
% 0.48/0.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.73 ((divide @ X3 @
% 0.48/0.73 (inverse @
% 0.48/0.73 (divide @ X0 @
% 0.48/0.73 (divide @ X3 @
% 0.48/0.73 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2)))))))
% 0.48/0.73 = (X1))),
% 0.48/0.73 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.48/0.73 thf(zip_derived_cl37, plain,
% 0.48/0.73 (![X0 : $i, X1 : $i]:
% 0.48/0.73 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 0.48/0.73 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 0.48/0.73 thf(zip_derived_cl37, plain,
% 0.48/0.73 (![X0 : $i, X1 : $i]:
% 0.48/0.73 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 0.48/0.73 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 0.48/0.73 thf(zip_derived_cl53, plain,
% 0.48/0.73 (![X0 : $i, X1 : $i]:
% 0.48/0.73 ((divide @ (inverse @ (divide @ X0 @ X1)) @ (inverse @ X0)) = (X1))),
% 0.48/0.73 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl37])).
% 0.48/0.73 thf(zip_derived_cl12, plain,
% 0.48/0.73 (![X0 : $i, X1 : $i]:
% 0.48/0.73 ((divide @ X1 @ (inverse @ (divide @ X0 @ X0))) = (X1))),
% 0.48/0.73 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.48/0.73 thf(zip_derived_cl53, plain,
% 0.48/0.73 (![X0 : $i, X1 : $i]:
% 0.48/0.73 ((divide @ (inverse @ (divide @ X0 @ X1)) @ (inverse @ X0)) = (X1))),
% 0.48/0.73 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl37])).
% 0.48/0.73 thf(zip_derived_cl95, plain,
% 0.48/0.73 (![X0 : $i, X1 : $i]:
% 0.48/0.73 ((divide @ (inverse @ X0) @ (inverse @ X0))
% 0.48/0.73 = (inverse @ (divide @ X1 @ X1)))),
% 0.48/0.73 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl53])).
% 0.48/0.73 thf(prove_these_axioms_2, conjecture,
% 0.48/0.73 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 0.48/0.73 thf(zf_stmt_0, negated_conjecture,
% 0.48/0.73 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 0.48/0.73 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 0.48/0.73 thf(zip_derived_cl2, plain,
% 0.48/0.73 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 0.48/0.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.73 thf(multiply, axiom,
% 0.48/0.73 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 0.48/0.73 thf(zip_derived_cl1, plain,
% 0.48/0.73 (![X0 : $i, X1 : $i]:
% 0.48/0.73 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.48/0.73 inference('cnf', [status(esa)], [multiply])).
% 0.48/0.73 thf(zip_derived_cl1, plain,
% 0.48/0.73 (![X0 : $i, X1 : $i]:
% 0.48/0.73 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.48/0.73 inference('cnf', [status(esa)], [multiply])).
% 0.48/0.73 thf(zip_derived_cl3, plain,
% 0.48/0.73 (((divide @ (divide @ (inverse @ b2) @ (inverse @ b2)) @ (inverse @ a2))
% 0.48/0.73 != (a2))),
% 0.48/0.73 inference('demod', [status(thm)],
% 0.48/0.73 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.48/0.73 thf(zip_derived_cl126, plain,
% 0.48/0.73 (![X0 : $i]:
% 0.48/0.73 ((divide @ (inverse @ (divide @ X0 @ X0)) @ (inverse @ a2)) != (a2))),
% 0.48/0.73 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl3])).
% 0.48/0.73 thf(zip_derived_cl179, plain, (((a2) != (a2))),
% 0.48/0.73 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl126])).
% 0.48/0.73 thf(zip_derived_cl186, plain, ($false),
% 0.48/0.73 inference('simplify', [status(thm)], [zip_derived_cl179])).
% 0.48/0.73
% 0.48/0.73 % SZS output end Refutation
% 0.48/0.73
% 0.48/0.73
% 0.48/0.74 % Terminating...
% 1.57/0.78 % Runner terminated.
% 1.57/0.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------