%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP589-1 : 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.Vs09CrlxTU true
% Computer : n018.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 04:36:44 PM UTC 2025
% Result : Unsatisfiable 0.53s 0.80s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP589-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Vs09CrlxTU true
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 14:10:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.51/0.63 % Total configuration time : 435
% 0.51/0.63 % Estimated wc time : 1092
% 0.51/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.80 % Solved by fo/fo13.sh.
% 0.53/0.80 % done 11 iterations in 0.029s
% 0.53/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.80 % SZS output start Refutation
% 0.53/0.80 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.53/0.80 thf(b1_type, type, b1: $i).
% 0.53/0.80 thf(inverse_type, type, inverse: $i > $i).
% 0.53/0.80 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.53/0.80 thf(a1_type, type, a1: $i).
% 0.53/0.80 thf(single_axiom, axiom,
% 0.53/0.80 (( double_divide @
% 0.53/0.80 ( inverse @
% 0.53/0.80 ( double_divide @
% 0.53/0.80 ( double_divide @ A @ B ) @
% 0.53/0.80 ( inverse @ ( double_divide @ A @ ( inverse @ C ) ) ) ) ) @
% 0.53/0.80 B ) =
% 0.53/0.80 ( C ))).
% 0.53/0.80 thf(zip_derived_cl0, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.80 ((double_divide @
% 0.53/0.80 (inverse @
% 0.53/0.80 (double_divide @ (double_divide @ X1 @ X2) @
% 0.53/0.80 (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @
% 0.53/0.80 X2) = (X0))),
% 0.53/0.80 inference('cnf', [status(esa)], [single_axiom])).
% 0.53/0.80 thf(zip_derived_cl0, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.80 ((double_divide @
% 0.53/0.80 (inverse @
% 0.53/0.80 (double_divide @ (double_divide @ X1 @ X2) @
% 0.53/0.80 (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @
% 0.53/0.80 X2) = (X0))),
% 0.53/0.80 inference('cnf', [status(esa)], [single_axiom])).
% 0.53/0.80 thf(zip_derived_cl0, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.80 ((double_divide @
% 0.53/0.80 (inverse @
% 0.53/0.80 (double_divide @ (double_divide @ X1 @ X2) @
% 0.53/0.80 (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @
% 0.53/0.80 X2) = (X0))),
% 0.53/0.80 inference('cnf', [status(esa)], [single_axiom])).
% 0.53/0.80 thf(zip_derived_cl4, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.80 ((double_divide @
% 0.53/0.80 (inverse @
% 0.53/0.80 (double_divide @ X0 @
% 0.53/0.80 (inverse @
% 0.53/0.80 (double_divide @
% 0.53/0.80 (inverse @
% 0.53/0.80 (double_divide @ (double_divide @ X3 @ X2) @
% 0.53/0.80 (inverse @ (double_divide @ X3 @ (inverse @ X0))))) @
% 0.53/0.80 (inverse @ X1))))) @
% 0.53/0.80 X2) = (X1))),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.53/0.80 thf(zip_derived_cl12, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X0))) @
% 0.53/0.80 (inverse @ X1)) = (X1))),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.53/0.80 thf(zip_derived_cl12, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X0))) @
% 0.53/0.80 (inverse @ X1)) = (X1))),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.53/0.80 thf(zip_derived_cl4, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.80 ((double_divide @
% 0.53/0.80 (inverse @
% 0.53/0.80 (double_divide @ X0 @
% 0.53/0.80 (inverse @
% 0.53/0.80 (double_divide @
% 0.53/0.80 (inverse @
% 0.53/0.80 (double_divide @ (double_divide @ X3 @ X2) @
% 0.53/0.80 (inverse @ (double_divide @ X3 @ (inverse @ X0))))) @
% 0.53/0.80 (inverse @ X1))))) @
% 0.53/0.80 X2) = (X1))),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.53/0.80 thf(zip_derived_cl23, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ((double_divide @ (inverse @ (double_divide @ X1 @ (inverse @ X0))) @
% 0.53/0.80 (inverse @ X1)) = (X0))),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 0.53/0.80 thf(zip_derived_cl23, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ((double_divide @ (inverse @ (double_divide @ X1 @ (inverse @ X0))) @
% 0.53/0.80 (inverse @ X1)) = (X0))),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 0.53/0.80 thf(zip_derived_cl30, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ((double_divide @ (inverse @ X0) @
% 0.53/0.80 (inverse @ (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 0.53/0.80 = (X1))),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl23])).
% 0.53/0.80 thf(zip_derived_cl62, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X0)))
% 0.53/0.80 = (inverse @ (double_divide @ X1 @ (inverse @ X1))))),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl30])).
% 0.53/0.80 thf(zip_derived_cl62, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X0)))
% 0.53/0.80 = (inverse @ (double_divide @ X1 @ (inverse @ X1))))),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl30])).
% 0.53/0.80 thf(zip_derived_cl98, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ((inverse @ (double_divide @ X0 @ (inverse @ X0)))
% 0.53/0.80 = (inverse @ (double_divide @ X1 @ (inverse @ X1))))),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl62])).
% 0.53/0.80 thf(prove_these_axioms_1, conjecture,
% 0.53/0.80 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 0.53/0.80 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 0.53/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.53/0.80 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.53/0.80 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 0.53/0.80 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 0.53/0.80 thf(zip_derived_cl2, plain,
% 0.53/0.80 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 0.53/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.80 thf(multiply, axiom,
% 0.53/0.80 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.53/0.80 thf(zip_derived_cl1, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.53/0.80 inference('cnf', [status(esa)], [multiply])).
% 0.53/0.80 thf(zip_derived_cl1, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.53/0.80 inference('cnf', [status(esa)], [multiply])).
% 0.53/0.80 thf(zip_derived_cl3, plain,
% 0.53/0.80 (((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 0.53/0.80 != (inverse @ (double_divide @ b1 @ (inverse @ b1))))),
% 0.53/0.80 inference('demod', [status(thm)],
% 0.53/0.80 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.53/0.80 thf(zip_derived_cl146, plain,
% 0.53/0.80 (![X0 : $i]:
% 0.53/0.80 ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 0.53/0.80 != (inverse @ (double_divide @ X0 @ (inverse @ X0))))),
% 0.53/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl3])).
% 0.53/0.80 thf(zip_derived_cl98, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 ((inverse @ (double_divide @ X0 @ (inverse @ X0)))
% 0.53/0.80 = (inverse @ (double_divide @ X1 @ (inverse @ X1))))),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl62])).
% 0.53/0.80 thf(zip_derived_cl193, plain, ($false),
% 0.53/0.80 inference('simplify_reflect+', [status(thm)],
% 0.53/0.80 [zip_derived_cl146, zip_derived_cl98])).
% 0.53/0.80
% 0.53/0.80 % SZS output end Refutation
% 0.53/0.80
% 0.53/0.80
% 0.53/0.80 % Terminating...
% 0.53/0.86 % Runner terminated.
% 0.53/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------