%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP490-1 : 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.US78e44fKK true
% Computer : n023.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 04:36:32 PM UTC 2025
% Result : Unsatisfiable 0.56s 0.77s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP490-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.US78e44fKK true
% 0.13/0.34 % Computer : n023.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 14:15:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.77 % Solved by fo/fo1_av.sh.
% 0.56/0.77 % done 12 iterations in 0.008s
% 0.56/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77 % SZS output start Refutation
% 0.56/0.77 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/0.77 thf(a1_type, type, a1: $i).
% 0.56/0.77 thf(identity_type, type, identity: $i).
% 0.56/0.77 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.56/0.77 thf(inverse_type, type, inverse: $i > $i).
% 0.56/0.77 thf(identity, axiom,
% 0.56/0.77 (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 0.56/0.77 thf(zip_derived_cl3, plain,
% 0.56/0.77 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.56/0.77 inference('cnf', [status(esa)], [identity])).
% 0.56/0.77 thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 0.56/0.77 thf(zip_derived_cl2, plain,
% 0.56/0.77 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.77 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.77 thf(zip_derived_cl6, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.56/0.77 thf(zip_derived_cl6, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.56/0.77 thf(single_axiom, axiom,
% 0.56/0.77 (( double_divide @
% 0.56/0.77 ( double_divide @ identity @ A ) @
% 0.56/0.77 ( double_divide @
% 0.56/0.77 identity @
% 0.56/0.77 ( double_divide @
% 0.56/0.77 ( double_divide @ ( double_divide @ A @ B ) @ identity ) @
% 0.56/0.77 ( double_divide @ C @ B ) ) ) ) =
% 0.56/0.77 ( C ))).
% 0.56/0.77 thf(zip_derived_cl0, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.77 ((double_divide @ (double_divide @ identity @ X1) @
% 0.56/0.77 (double_divide @ identity @
% 0.56/0.77 (double_divide @
% 0.56/0.77 (double_divide @ (double_divide @ X1 @ X2) @ identity) @
% 0.56/0.77 (double_divide @ X0 @ X2))))
% 0.56/0.77 = (X0))),
% 0.56/0.77 inference('cnf', [status(esa)], [single_axiom])).
% 0.56/0.77 thf(zip_derived_cl10, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ((double_divide @ (double_divide @ identity @ X0) @
% 0.56/0.77 (double_divide @ identity @ identity))
% 0.56/0.77 = (double_divide @ (double_divide @ X0 @ identity) @ identity))),
% 0.56/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 0.56/0.77 thf(zip_derived_cl18, plain,
% 0.56/0.77 (((double_divide @ identity @ (double_divide @ identity @ identity))
% 0.56/0.77 = (double_divide @
% 0.56/0.77 (double_divide @ (double_divide @ identity @ identity) @ identity) @
% 0.56/0.77 identity))),
% 0.56/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl10])).
% 0.56/0.77 thf(zip_derived_cl6, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.56/0.77 thf(zip_derived_cl19, plain,
% 0.56/0.77 (((identity)
% 0.56/0.77 = (double_divide @
% 0.56/0.77 (double_divide @ (double_divide @ identity @ identity) @ identity) @
% 0.56/0.77 identity))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl6])).
% 0.56/0.77 thf(zip_derived_cl19, plain,
% 0.56/0.77 (((identity)
% 0.56/0.77 = (double_divide @
% 0.56/0.77 (double_divide @ (double_divide @ identity @ identity) @ identity) @
% 0.56/0.77 identity))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl6])).
% 0.56/0.77 thf(zip_derived_cl19, plain,
% 0.56/0.77 (((identity)
% 0.56/0.77 = (double_divide @
% 0.56/0.77 (double_divide @ (double_divide @ identity @ identity) @ identity) @
% 0.56/0.77 identity))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl6])).
% 0.56/0.77 thf(zip_derived_cl0, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.77 ((double_divide @ (double_divide @ identity @ X1) @
% 0.56/0.77 (double_divide @ identity @
% 0.56/0.77 (double_divide @
% 0.56/0.77 (double_divide @ (double_divide @ X1 @ X2) @ identity) @
% 0.56/0.77 (double_divide @ X0 @ X2))))
% 0.56/0.77 = (X0))),
% 0.56/0.77 inference('cnf', [status(esa)], [single_axiom])).
% 0.56/0.77 thf(zip_derived_cl23, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ((double_divide @
% 0.56/0.77 (double_divide @ identity @ (double_divide @ identity @ identity)) @
% 0.56/0.77 (double_divide @ identity @
% 0.56/0.77 (double_divide @ identity @ (double_divide @ X0 @ identity))))
% 0.56/0.77 = (X0))),
% 0.56/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 0.56/0.77 thf(zip_derived_cl6, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.56/0.77 thf(zip_derived_cl24, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ((double_divide @ identity @
% 0.56/0.77 (double_divide @ identity @
% 0.56/0.77 (double_divide @ identity @ (double_divide @ X0 @ identity))))
% 0.56/0.77 = (X0))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl6])).
% 0.56/0.77 thf(zip_derived_cl30, plain,
% 0.56/0.77 (((double_divide @ identity @
% 0.56/0.77 (double_divide @ identity @ (double_divide @ identity @ identity)))
% 0.56/0.77 = (double_divide @ (double_divide @ identity @ identity) @ identity))),
% 0.56/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl24])).
% 0.56/0.77 thf(zip_derived_cl6, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.56/0.77 thf(zip_derived_cl31, plain,
% 0.56/0.77 (((double_divide @ identity @ identity)
% 0.56/0.77 = (double_divide @ (double_divide @ identity @ identity) @ identity))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl6])).
% 0.56/0.77 thf(zip_derived_cl31, plain,
% 0.56/0.77 (((double_divide @ identity @ identity)
% 0.56/0.77 = (double_divide @ (double_divide @ identity @ identity) @ identity))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl6])).
% 0.56/0.77 thf(zip_derived_cl32, plain,
% 0.56/0.77 (((identity) = (double_divide @ identity @ identity))),
% 0.56/0.77 inference('demod', [status(thm)],
% 0.56/0.77 [zip_derived_cl19, zip_derived_cl31, zip_derived_cl31])).
% 0.56/0.77 thf(prove_these_axioms_1, conjecture,
% 0.56/0.77 (( multiply @ ( inverse @ a1 ) @ a1 ) = ( identity ))).
% 0.56/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.77 (( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity )),
% 0.56/0.77 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 0.56/0.77 thf(zip_derived_cl4, plain,
% 0.56/0.77 (((multiply @ (inverse @ a1) @ a1) != (identity))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.77 thf(zip_derived_cl2, plain,
% 0.56/0.77 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.77 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.77 thf(zip_derived_cl5, plain,
% 0.56/0.77 (((multiply @ (double_divide @ a1 @ identity) @ a1) != (identity))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.56/0.77 thf(multiply, axiom,
% 0.56/0.77 (( multiply @ A @ B ) =
% 0.56/0.77 ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 0.56/0.77 thf(zip_derived_cl1, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 ((multiply @ X1 @ X0)
% 0.56/0.77 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.56/0.77 inference('cnf', [status(esa)], [multiply])).
% 0.56/0.77 thf(zip_derived_cl6, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.56/0.77 thf(zip_derived_cl7, plain,
% 0.56/0.77 (((double_divide @ identity @ identity) != (identity))),
% 0.56/0.77 inference('demod', [status(thm)],
% 0.56/0.77 [zip_derived_cl5, zip_derived_cl1, zip_derived_cl6])).
% 0.56/0.77 thf(zip_derived_cl33, plain, ($false),
% 0.56/0.77 inference('simplify_reflect-', [status(thm)],
% 0.56/0.77 [zip_derived_cl32, zip_derived_cl7])).
% 0.56/0.77
% 0.56/0.77 % SZS output end Refutation
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77 % Terminating...
% 0.59/0.85 % Runner terminated.
% 0.59/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------