%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP022-2 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WgqbMH5Mks true
% Computer : n006.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 04:35:26 PM UTC 2025
% Result : Unsatisfiable 0.54s 0.74s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP022-2 : TPTP v9.2.0. Released v1.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WgqbMH5Mks true
% 0.13/0.34 % Computer : n006.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 14:24:08 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % Solved by fo/fo6_bce.sh.
% 0.54/0.74 % BCE start: 6
% 0.54/0.74 % BCE eliminated: 0
% 0.54/0.74 % PE start: 6
% 0.54/0.74 logic: eq
% 0.54/0.74 % PE eliminated: 0
% 0.54/0.74 % done 13 iterations in 0.018s
% 0.54/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.74 % SZS output start Refutation
% 0.54/0.74 thf(a_type, type, a: $i).
% 0.54/0.74 thf(identity_type, type, identity: $i).
% 0.54/0.74 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/0.74 thf(inverse_type, type, inverse: $i > $i).
% 0.54/0.74 thf(prove_inverse_of_inverse_is_original, conjecture,
% 0.54/0.74 (( inverse @ ( inverse @ a ) ) = ( a ))).
% 0.54/0.74 thf(zf_stmt_0, negated_conjecture, (( inverse @ ( inverse @ a ) ) != ( a )),
% 0.54/0.74 inference('cnf.neg', [status(esa)], [prove_inverse_of_inverse_is_original])).
% 0.54/0.74 thf(zip_derived_cl5, plain, (((inverse @ (inverse @ a)) != (a))),
% 0.54/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.74 thf(right_inverse, axiom,
% 0.54/0.74 (( multiply @ X @ ( inverse @ X ) ) = ( identity ))).
% 0.54/0.74 thf(zip_derived_cl4, plain,
% 0.54/0.74 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.54/0.74 inference('cnf', [status(esa)], [right_inverse])).
% 0.54/0.74 thf(zip_derived_cl4, plain,
% 0.54/0.74 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.54/0.74 inference('cnf', [status(esa)], [right_inverse])).
% 0.54/0.74 thf(associativity, axiom,
% 0.54/0.74 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.54/0.74 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.54/0.74 thf(zip_derived_cl2, plain,
% 0.54/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.74 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.74 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.74 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.74 thf(zip_derived_cl14, plain,
% 0.54/0.74 (![X0 : $i, X1 : $i]:
% 0.54/0.74 ((multiply @ identity @ X0)
% 0.54/0.74 = (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)))),
% 0.54/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.54/0.74 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.54/0.74 thf(zip_derived_cl0, plain,
% 0.54/0.74 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.74 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.74 thf(zip_derived_cl20, plain,
% 0.54/0.74 (![X0 : $i, X1 : $i]:
% 0.54/0.74 ((X0) = (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)))),
% 0.54/0.74 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 0.54/0.74 thf(zip_derived_cl30, plain,
% 0.54/0.74 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (multiply @ X0 @ identity))),
% 0.54/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl20])).
% 0.54/0.74 thf(right_identity, axiom, (( multiply @ X @ identity ) = ( X ))).
% 0.54/0.74 thf(zip_derived_cl3, plain,
% 0.54/0.74 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.74 inference('cnf', [status(esa)], [right_identity])).
% 0.54/0.74 thf(zip_derived_cl33, plain,
% 0.54/0.74 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.54/0.74 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl3])).
% 0.54/0.74 thf(zip_derived_cl65, plain, (((a) != (a))),
% 0.54/0.74 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 0.54/0.74 thf(zip_derived_cl66, plain, ($false),
% 0.54/0.74 inference('simplify', [status(thm)], [zip_derived_cl65])).
% 0.54/0.74
% 0.54/0.74 % SZS output end Refutation
% 0.54/0.74
% 0.54/0.74
% 0.54/0.74 % Terminating...
% 0.62/0.85 % Runner terminated.
% 0.62/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------