%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP032-3 : 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.xLYMFzTg2k true
% Computer : n009.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 04:35:28 PM UTC 2025
% Result : Unsatisfiable 0.51s 0.74s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP032-3 : TPTP v9.2.0. Released v1.0.0.
% 0.05/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xLYMFzTg2k true
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 14:16:23 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % 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
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.74 % Solved by fo/fo6_bce.sh.
% 0.51/0.74 % BCE start: 11
% 0.51/0.74 % BCE eliminated: 0
% 0.51/0.74 % PE start: 11
% 0.51/0.74 logic: eq
% 0.51/0.74 % PE eliminated: 0
% 0.51/0.74 % done 10 iterations in 0.014s
% 0.51/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.74 % SZS output start Refutation
% 0.51/0.74 thf(inverse_type, type, inverse: $i > $i).
% 0.51/0.74 thf(product_type, type, product: $i > $i > $i > $o).
% 0.51/0.74 thf(identity_type, type, identity: $i).
% 0.51/0.74 thf(subgroup_member_type, type, subgroup_member: $i > $o).
% 0.51/0.74 thf(a_type, type, a: $i).
% 0.51/0.74 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 0.51/0.74 thf(zip_derived_cl3, plain,
% 0.51/0.74 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.51/0.74 inference('cnf', [status(esa)], [right_inverse])).
% 0.51/0.74 thf(closure_of_product_and_inverse, axiom,
% 0.51/0.74 (( ~( subgroup_member @ A ) ) | ( ~( subgroup_member @ B ) ) |
% 0.51/0.74 ( ~( product @ A @ ( inverse @ B ) @ C ) ) | ( subgroup_member @ C ))).
% 0.51/0.74 thf(zip_derived_cl8, plain,
% 0.51/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.74 (~ (subgroup_member @ X0)
% 0.51/0.74 | ~ (subgroup_member @ X1)
% 0.51/0.74 | ~ (product @ X0 @ (inverse @ X1) @ X2)
% 0.51/0.74 | (subgroup_member @ X2))),
% 0.51/0.74 inference('cnf', [status(esa)], [closure_of_product_and_inverse])).
% 0.51/0.74 thf(zip_derived_cl64, plain,
% 0.51/0.74 (![X0 : $i]:
% 0.51/0.74 (~ (subgroup_member @ X0)
% 0.51/0.74 | ~ (subgroup_member @ X0)
% 0.51/0.74 | (subgroup_member @ identity))),
% 0.51/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 0.51/0.74 thf(zip_derived_cl67, plain,
% 0.51/0.74 (![X0 : $i]: ( (subgroup_member @ identity) | ~ (subgroup_member @ X0))),
% 0.51/0.74 inference('simplify', [status(thm)], [zip_derived_cl64])).
% 0.51/0.74 thf(prove_identity_is_in_subgroup, conjecture, (subgroup_member @ identity)).
% 0.51/0.74 thf(zf_stmt_0, negated_conjecture, (~( subgroup_member @ identity )),
% 0.51/0.74 inference('cnf.neg', [status(esa)], [prove_identity_is_in_subgroup])).
% 0.51/0.74 thf(zip_derived_cl10, plain, (~ (subgroup_member @ identity)),
% 0.51/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.74 thf(zip_derived_cl70, plain, (![X0 : $i]: ~ (subgroup_member @ X0)),
% 0.51/0.74 inference('clc', [status(thm)], [zip_derived_cl67, zip_derived_cl10])).
% 0.51/0.74 thf(a_is_in_subgroup, axiom, (subgroup_member @ a)).
% 0.51/0.74 thf(zip_derived_cl9, plain, ( (subgroup_member @ a)),
% 0.51/0.74 inference('cnf', [status(esa)], [a_is_in_subgroup])).
% 0.51/0.74 thf(zip_derived_cl71, plain, ($false),
% 0.51/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl9])).
% 0.51/0.74
% 0.51/0.74 % SZS output end Refutation
% 0.51/0.74
% 0.51/0.74
% 0.51/0.74 % Terminating...
% 0.60/0.83 % Runner terminated.
% 1.74/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------