%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP034-3 : 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.8J5sYNRkE1 true
% Computer : n026.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 04:35:29 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP034-3 : TPTP v9.2.0. Released v1.0.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8J5sYNRkE1 true
% 0.12/0.34 % Computer : n026.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 14:08:53 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
% 0.12/0.34 % Running in FO mode
% 0.19/0.48 % Total configuration time : 435
% 0.19/0.48 % Estimated wc time : 1092
% 0.19/0.48 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.54 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.54 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.57 % Solved by fo/fo6_bce.sh.
% 0.19/0.57 % BCE start: 11
% 0.19/0.57 % BCE eliminated: 0
% 0.19/0.57 % PE start: 11
% 0.19/0.57 logic: eq
% 0.19/0.57 % PE eliminated: 0
% 0.19/0.57 % done 11 iterations in 0.008s
% 0.19/0.57 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.19/0.57 % SZS output start Refutation
% 0.19/0.57 thf(inverse_type, type, inverse: $i > $i).
% 0.19/0.57 thf(product_type, type, product: $i > $i > $i > $o).
% 0.19/0.57 thf(identity_type, type, identity: $i).
% 0.19/0.57 thf(subgroup_member_type, type, subgroup_member: $i > $o).
% 0.19/0.57 thf(a_type, type, a: $i).
% 0.19/0.57 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 0.19/0.57 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.19/0.57 inference('cnf', [status(esa)], [left_identity])).
% 0.19/0.57 thf(closure_of_product_and_inverse, axiom,
% 0.19/0.57 (( ~( subgroup_member @ A ) ) | ( ~( subgroup_member @ B ) ) |
% 0.19/0.57 ( ~( product @ A @ ( inverse @ B ) @ C ) ) | ( subgroup_member @ C ))).
% 0.19/0.57 thf(zip_derived_cl8, plain,
% 0.19/0.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.57 (~ (subgroup_member @ X0)
% 0.19/0.57 | ~ (subgroup_member @ X1)
% 0.19/0.57 | ~ (product @ X0 @ (inverse @ X1) @ X2)
% 0.19/0.57 | (subgroup_member @ X2))),
% 0.19/0.57 inference('cnf', [status(esa)], [closure_of_product_and_inverse])).
% 0.19/0.57 thf(zip_derived_cl54, plain,
% 0.19/0.57 (![X0 : $i]:
% 0.19/0.57 (~ (subgroup_member @ identity)
% 0.19/0.57 | ~ (subgroup_member @ X0)
% 0.19/0.57 | (subgroup_member @ (inverse @ X0)))),
% 0.19/0.57 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl8])).
% 0.19/0.57 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 0.19/0.57 thf(zip_derived_cl3, plain,
% 0.19/0.57 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.19/0.57 inference('cnf', [status(esa)], [right_inverse])).
% 0.19/0.57 thf(zip_derived_cl8, plain,
% 0.19/0.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.57 (~ (subgroup_member @ X0)
% 0.19/0.57 | ~ (subgroup_member @ X1)
% 0.19/0.57 | ~ (product @ X0 @ (inverse @ X1) @ X2)
% 0.19/0.57 | (subgroup_member @ X2))),
% 0.19/0.57 inference('cnf', [status(esa)], [closure_of_product_and_inverse])).
% 0.19/0.57 thf(zip_derived_cl53, plain,
% 0.19/0.57 (![X0 : $i]:
% 0.19/0.57 (~ (subgroup_member @ X0)
% 0.19/0.57 | ~ (subgroup_member @ X0)
% 0.19/0.57 | (subgroup_member @ identity))),
% 0.19/0.57 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 0.19/0.57 thf(zip_derived_cl56, plain,
% 0.19/0.57 (![X0 : $i]: ( (subgroup_member @ identity) | ~ (subgroup_member @ X0))),
% 0.19/0.57 inference('simplify', [status(thm)], [zip_derived_cl53])).
% 0.19/0.57 thf(a_is_in_subgroup, axiom, (subgroup_member @ a)).
% 0.19/0.57 thf(zip_derived_cl9, plain, ( (subgroup_member @ a)),
% 0.19/0.57 inference('cnf', [status(esa)], [a_is_in_subgroup])).
% 0.19/0.57 thf(zip_derived_cl59, plain, ( (subgroup_member @ identity)),
% 0.19/0.57 inference('s_sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl9])).
% 0.19/0.57 thf(zip_derived_cl71, plain,
% 0.19/0.57 (![X0 : $i]:
% 0.19/0.57 (~ (subgroup_member @ X0) | (subgroup_member @ (inverse @ X0)))),
% 0.19/0.57 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl59])).
% 0.19/0.57 thf(prove_a_inverse_is_in_subgroup, conjecture,
% 0.19/0.57 (subgroup_member @ ( inverse @ a ))).
% 0.19/0.57 thf(zf_stmt_0, negated_conjecture, (~( subgroup_member @ ( inverse @ a ) )),
% 0.19/0.57 inference('cnf.neg', [status(esa)], [prove_a_inverse_is_in_subgroup])).
% 0.19/0.57 thf(zip_derived_cl10, plain, (~ (subgroup_member @ (inverse @ a))),
% 0.19/0.57 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.19/0.57 thf(zip_derived_cl72, plain, (~ (subgroup_member @ a)),
% 0.19/0.57 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl10])).
% 0.19/0.57 thf(zip_derived_cl9, plain, ( (subgroup_member @ a)),
% 0.19/0.57 inference('cnf', [status(esa)], [a_is_in_subgroup])).
% 0.19/0.57 thf(zip_derived_cl73, plain, ($false),
% 0.19/0.57 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl9])).
% 0.19/0.57
% 0.19/0.57 % SZS output end Refutation
% 0.19/0.57
% 0.19/0.57
% 0.19/0.57 % Terminating...
% 1.02/0.59 % Runner terminated.
% 1.02/0.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------