%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP561-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aR9uSONvVR true
% Computer : n025.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 0.59s 0.82s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : GRP561-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aR9uSONvVR true
% 0.16/0.37 % Computer : n025.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Oct 1 14:09:23 EDT 2025
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.38 % Python version: Python 3.6.8
% 0.16/0.38 % Running in FO mode
% 0.55/0.68 % Total configuration time : 435
% 0.55/0.68 % Estimated wc time : 1092
% 0.55/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.82 % Solved by fo/fo3_bce.sh.
% 0.59/0.82 % BCE start: 3
% 0.59/0.82 % BCE eliminated: 0
% 0.59/0.82 % PE start: 3
% 0.59/0.82 logic: eq
% 0.59/0.82 % PE eliminated: 0
% 0.59/0.82 % done 14 iterations in 0.018s
% 0.59/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.82 % SZS output start Refutation
% 0.59/0.82 thf(inverse_type, type, inverse: $i > $i).
% 0.59/0.82 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.59/0.82 thf(b1_type, type, b1: $i).
% 0.59/0.82 thf(divide_type, type, divide: $i > $i > $i).
% 0.59/0.82 thf(a1_type, type, a1: $i).
% 0.59/0.82 thf(single_axiom, axiom,
% 0.59/0.82 (( divide @
% 0.59/0.82 ( divide @ ( divide @ A @ ( inverse @ B ) ) @ C ) @ ( divide @ A @ C ) ) =
% 0.59/0.82 ( B ))).
% 0.59/0.82 thf(zip_derived_cl0, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.82 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 0.59/0.82 (divide @ X1 @ X2)) = (X0))),
% 0.59/0.82 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.82 thf(zip_derived_cl0, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.82 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 0.59/0.82 (divide @ X1 @ X2)) = (X0))),
% 0.59/0.82 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.82 thf(zip_derived_cl4, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.82 ((divide @
% 0.59/0.82 (divide @
% 0.59/0.82 (divide @ (divide @ (divide @ X3 @ (inverse @ X0)) @ X2) @
% 0.59/0.82 (inverse @ X1)) @
% 0.59/0.82 (divide @ X3 @ X2)) @
% 0.59/0.82 X0) = (X1))),
% 0.59/0.82 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/0.82 thf(zip_derived_cl4, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.82 ((divide @
% 0.59/0.82 (divide @
% 0.59/0.82 (divide @ (divide @ (divide @ X3 @ (inverse @ X0)) @ X2) @
% 0.59/0.82 (inverse @ X1)) @
% 0.59/0.82 (divide @ X3 @ X2)) @
% 0.59/0.82 X0) = (X1))),
% 0.59/0.82 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/0.82 thf(zip_derived_cl20, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.82 ((divide @
% 0.59/0.82 (divide @ X0 @
% 0.59/0.82 (divide @
% 0.59/0.82 (divide @ (divide @ X3 @ (inverse @ (inverse @ X1))) @ X2) @
% 0.59/0.82 (divide @ X3 @ X2))) @
% 0.59/0.82 X0) = (X1))),
% 0.59/0.82 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 0.59/0.82 thf(zip_derived_cl0, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.82 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 0.59/0.82 (divide @ X1 @ X2)) = (X0))),
% 0.59/0.82 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.82 thf(zip_derived_cl24, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]:
% 0.59/0.82 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 0.59/0.82 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 0.59/0.82 thf(zip_derived_cl0, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.82 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 0.59/0.82 (divide @ X1 @ X2)) = (X0))),
% 0.59/0.82 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.82 thf(zip_derived_cl33, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X1 @ X1)) = (X0))),
% 0.59/0.82 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 0.59/0.82 thf(zip_derived_cl33, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X1 @ X1)) = (X0))),
% 0.59/0.82 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 0.59/0.82 thf(zip_derived_cl24, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]:
% 0.59/0.82 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 0.59/0.82 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 0.59/0.82 thf(zip_derived_cl42, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]:
% 0.59/0.82 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 0.59/0.82 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl24])).
% 0.59/0.82 thf(zip_derived_cl0, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.82 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 0.59/0.82 (divide @ X1 @ X2)) = (X0))),
% 0.59/0.82 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.82 thf(zip_derived_cl0, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.82 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 0.59/0.82 (divide @ X1 @ X2)) = (X0))),
% 0.59/0.82 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.82 thf(zip_derived_cl5, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.82 ((divide @ X0 @
% 0.59/0.82 (divide @ (divide @ X2 @ (inverse @ X0)) @
% 0.59/0.82 (divide @ X2 @ (inverse @ X1))))
% 0.59/0.82 = (X1))),
% 0.59/0.82 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/0.82 thf(zip_derived_cl58, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.82 ((divide @ X0 @
% 0.59/0.82 (divide @ X0 @ (divide @ (divide @ X2 @ X2) @ (inverse @ X1))))
% 0.59/0.82 = (X1))),
% 0.59/0.82 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl5])).
% 0.59/0.82 thf(zip_derived_cl42, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]:
% 0.59/0.82 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 0.59/0.82 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl24])).
% 0.59/0.82 thf(zip_derived_cl66, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 0.59/0.82 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl42])).
% 0.59/0.82 thf(zip_derived_cl74, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 0.59/0.82 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl66])).
% 0.59/0.82 thf(prove_these_axioms_1, conjecture,
% 0.59/0.82 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 0.59/0.82 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 0.59/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.82 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.59/0.82 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 0.59/0.82 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 0.59/0.82 thf(zip_derived_cl2, plain,
% 0.59/0.82 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 0.59/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.82 thf(multiply, axiom,
% 0.59/0.82 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 0.59/0.82 thf(zip_derived_cl1, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]:
% 0.59/0.82 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.82 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.82 thf(zip_derived_cl1, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]:
% 0.59/0.82 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.82 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.82 thf(zip_derived_cl3, plain,
% 0.59/0.82 (((divide @ (inverse @ a1) @ (inverse @ a1))
% 0.59/0.82 != (divide @ (inverse @ b1) @ (inverse @ b1)))),
% 0.59/0.82 inference('demod', [status(thm)],
% 0.59/0.82 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.59/0.82 thf(zip_derived_cl96, plain,
% 0.59/0.82 (![X0 : $i]:
% 0.59/0.82 ((divide @ (inverse @ a1) @ (inverse @ a1)) != (divide @ X0 @ X0))),
% 0.59/0.82 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl3])).
% 0.59/0.82 thf(zip_derived_cl74, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 0.59/0.82 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl66])).
% 0.59/0.82 thf(zip_derived_cl123, plain, ($false),
% 0.59/0.82 inference('simplify_reflect+', [status(thm)],
% 0.59/0.82 [zip_derived_cl96, zip_derived_cl74])).
% 0.59/0.82
% 0.59/0.82 % SZS output end Refutation
% 0.59/0.82
% 0.59/0.82
% 0.59/0.82 % Terminating...
% 0.65/0.89 % Runner terminated.
% 1.74/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------