%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP613-1 : 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.RiOzDsGyEb true
% Computer : n007.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 04:36:46 PM UTC 2025
% Result : Unsatisfiable 0.59s 0.81s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP613-1 : 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.RiOzDsGyEb true
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 14:24:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.57/0.63 % Total configuration time : 435
% 0.57/0.63 % Estimated wc time : 1092
% 0.57/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.81 % Solved by fo/fo7.sh.
% 0.59/0.81 % done 41 iterations in 0.038s
% 0.59/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.81 % SZS output start Refutation
% 0.59/0.81 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.59/0.81 thf(b1_type, type, b1: $i).
% 0.59/0.81 thf(inverse_type, type, inverse: $i > $i).
% 0.59/0.81 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.59/0.81 thf(a1_type, type, a1: $i).
% 0.59/0.81 thf(single_axiom, axiom,
% 0.59/0.81 (( double_divide @
% 0.59/0.81 ( inverse @
% 0.59/0.81 ( double_divide @
% 0.59/0.81 ( inverse @ ( double_divide @ A @ ( inverse @ B ) ) ) @ C ) ) @
% 0.59/0.81 ( double_divide @ A @ C ) ) =
% 0.59/0.81 ( B ))).
% 0.59/0.81 thf(zip_derived_cl0, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.81 ((double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.59/0.81 (double_divide @ X1 @ X2)) = (X0))),
% 0.59/0.81 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.81 thf(zip_derived_cl0, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.81 ((double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.59/0.81 (double_divide @ X1 @ X2)) = (X0))),
% 0.59/0.81 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.81 thf(zip_derived_cl4, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.81 ((double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @ (double_divide @ X3 @ (inverse @ X0))) @ X2)) @
% 0.59/0.81 (inverse @ X1))) @
% 0.59/0.81 (double_divide @ X3 @ X2))) @
% 0.59/0.81 X0) = (X1))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/0.81 thf(zip_derived_cl4, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.81 ((double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @ (double_divide @ X3 @ (inverse @ X0))) @ X2)) @
% 0.59/0.81 (inverse @ X1))) @
% 0.59/0.81 (double_divide @ X3 @ X2))) @
% 0.59/0.81 X0) = (X1))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/0.81 thf(zip_derived_cl26, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.81 ((double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @ (inverse @ X0) @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @ (double_divide @ X3 @ (inverse @ (inverse @ X1)))) @
% 0.59/0.81 X2)) @
% 0.59/0.81 (double_divide @ X3 @ X2)))) @
% 0.59/0.81 X0) = (X1))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 0.59/0.81 thf(zip_derived_cl0, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.81 ((double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.59/0.81 (double_divide @ X1 @ X2)) = (X0))),
% 0.59/0.81 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.81 thf(zip_derived_cl31, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((double_divide @
% 0.59/0.81 (inverse @ (double_divide @ (inverse @ X0) @ (inverse @ X1))) @ X0)
% 0.59/0.81 = (X1))),
% 0.59/0.81 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 0.59/0.81 thf(zip_derived_cl0, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.81 ((double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.59/0.81 (double_divide @ X1 @ X2)) = (X0))),
% 0.59/0.81 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.81 thf(zip_derived_cl42, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((double_divide @ (inverse @ X0) @
% 0.59/0.81 (double_divide @ (inverse @ X1) @ X1)) = (X0))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 0.59/0.81 thf(zip_derived_cl31, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((double_divide @
% 0.59/0.81 (inverse @ (double_divide @ (inverse @ X0) @ (inverse @ X1))) @ X0)
% 0.59/0.81 = (X1))),
% 0.59/0.81 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 0.59/0.81 thf(zip_derived_cl54, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.59/0.81 (inverse @ X0)) = (X0))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.59/0.81 thf(zip_derived_cl0, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.81 ((double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.59/0.81 (double_divide @ X1 @ X2)) = (X0))),
% 0.59/0.81 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.81 thf(zip_derived_cl63, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.81 ((double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @ (double_divide @ (inverse @ X2) @ X2)) @
% 0.59/0.81 (inverse @ X1))) @
% 0.59/0.81 (inverse @ X0))) @
% 0.59/0.81 X0) = (X1))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl0])).
% 0.59/0.81 thf(zip_derived_cl54, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.59/0.81 (inverse @ X0)) = (X0))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.59/0.81 thf(zip_derived_cl77, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((double_divide @
% 0.59/0.81 (inverse @ (double_divide @ (inverse @ X1) @ (inverse @ X0))) @ X0)
% 0.59/0.81 = (X1))),
% 0.59/0.81 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl54])).
% 0.59/0.81 thf(zip_derived_cl54, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.59/0.81 (inverse @ X0)) = (X0))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.59/0.81 thf(zip_derived_cl170, plain,
% 0.59/0.81 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 0.59/0.81 thf(zip_derived_cl42, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((double_divide @ (inverse @ X0) @
% 0.59/0.81 (double_divide @ (inverse @ X1) @ X1)) = (X0))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 0.59/0.81 thf(zip_derived_cl54, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.59/0.81 (inverse @ X0)) = (X0))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.59/0.81 thf(zip_derived_cl0, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.81 ((double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.59/0.81 (double_divide @ X1 @ X2)) = (X0))),
% 0.59/0.81 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.81 thf(zip_derived_cl0, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.81 ((double_divide @
% 0.59/0.81 (inverse @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.59/0.81 (double_divide @ X1 @ X2)) = (X0))),
% 0.59/0.81 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.81 thf(zip_derived_cl5, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.81 ((double_divide @ (inverse @ X0) @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @ (double_divide @ X2 @ (inverse @ X0))) @
% 0.59/0.81 (double_divide @ X2 @ (inverse @ X1))))
% 0.59/0.81 = (X1))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/0.81 thf(zip_derived_cl67, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.81 ((double_divide @ (inverse @ X0) @
% 0.59/0.81 (double_divide @ (inverse @ X0) @
% 0.59/0.81 (double_divide @
% 0.59/0.81 (inverse @ (double_divide @ (inverse @ X2) @ X2)) @ (inverse @ X1))))
% 0.59/0.81 = (X1))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl5])).
% 0.59/0.81 thf(zip_derived_cl54, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.59/0.81 (inverse @ X0)) = (X0))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.59/0.81 thf(zip_derived_cl79, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((double_divide @ (inverse @ X0) @
% 0.59/0.81 (double_divide @ (inverse @ X0) @ X1)) = (X1))),
% 0.59/0.81 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl54])).
% 0.59/0.81 thf(zip_derived_cl93, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((double_divide @ (inverse @ X0) @ X0)
% 0.59/0.81 = (double_divide @ (inverse @ X1) @ X1))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl79])).
% 0.59/0.81 thf(zip_derived_cl189, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((double_divide @ X0 @ (inverse @ X0))
% 0.59/0.81 = (double_divide @ (inverse @ X1) @ X1))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl93])).
% 0.59/0.81 thf(prove_these_axioms_1, conjecture,
% 0.59/0.81 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 0.59/0.81 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 0.59/0.81 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.81 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.59/0.81 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 0.59/0.81 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 0.59/0.81 thf(zip_derived_cl2, plain,
% 0.59/0.81 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 0.59/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.81 thf(multiply, axiom,
% 0.59/0.81 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.59/0.81 thf(zip_derived_cl1, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.59/0.81 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.81 thf(zip_derived_cl1, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.59/0.81 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.81 thf(zip_derived_cl3, plain,
% 0.59/0.81 (((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 0.59/0.81 != (inverse @ (double_divide @ b1 @ (inverse @ b1))))),
% 0.59/0.81 inference('demod', [status(thm)],
% 0.59/0.81 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.59/0.81 thf(zip_derived_cl245, plain,
% 0.59/0.81 (![X0 : $i]:
% 0.59/0.81 ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 0.59/0.81 != (inverse @ (double_divide @ (inverse @ X0) @ X0)))),
% 0.59/0.81 inference('sup-', [status(thm)], [zip_derived_cl189, zip_derived_cl3])).
% 0.59/0.81 thf(zip_derived_cl189, plain,
% 0.59/0.81 (![X0 : $i, X1 : $i]:
% 0.59/0.81 ((double_divide @ X0 @ (inverse @ X0))
% 0.59/0.81 = (double_divide @ (inverse @ X1) @ X1))),
% 0.59/0.81 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl93])).
% 0.59/0.81 thf(zip_derived_cl274, plain,
% 0.59/0.81 (![X0 : $i]:
% 0.59/0.81 ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 0.59/0.81 != (inverse @ (double_divide @ X0 @ (inverse @ X0))))),
% 0.59/0.81 inference('demod', [status(thm)], [zip_derived_cl245, zip_derived_cl189])).
% 0.59/0.81 thf(zip_derived_cl279, plain, ($false),
% 0.59/0.81 inference('eq_res', [status(thm)], [zip_derived_cl274])).
% 0.59/0.81
% 0.59/0.81 % SZS output end Refutation
% 0.59/0.81
% 0.59/0.81
% 0.59/0.81 % Terminating...
% 1.64/0.85 % Runner terminated.
% 1.64/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------