%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP038-3 : 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.Li0wqwXYHk true
% Computer : n021.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 1.01s 0.65s
% Output : Refutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP038-3 : TPTP v9.2.0. Released v1.0.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Li0wqwXYHk true
% 0.09/0.30 % Computer : n021.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 14:27:23 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.30 % Python version: Python 3.6.8
% 0.09/0.30 % Running in FO mode
% 0.15/0.53 % Total configuration time : 435
% 0.15/0.53 % Estimated wc time : 1092
% 0.15/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.86/0.62 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.86/0.62 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.86/0.62 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.86/0.62 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.86/0.62 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.86/0.62 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.86/0.62 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.01/0.65 % Solved by fo/fo6_bce.sh.
% 1.01/0.65 % BCE start: 15
% 1.01/0.65 % BCE eliminated: 0
% 1.01/0.65 % PE start: 15
% 1.01/0.65 logic: eq
% 1.01/0.65 % PE eliminated: 0
% 1.01/0.65 % done 13 iterations in 0.013s
% 1.01/0.65 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.01/0.65 % SZS output start Refutation
% 1.01/0.65 thf(inverse_type, type, inverse: $i > $i).
% 1.01/0.65 thf(product_type, type, product: $i > $i > $i > $o).
% 1.01/0.65 thf(b_type, type, b: $i).
% 1.01/0.65 thf(a_type, type, a: $i).
% 1.01/0.65 thf(subgroup_member_type, type, subgroup_member: $i > $o).
% 1.01/0.65 thf(c_type, type, c: $i).
% 1.01/0.65 thf(prove_c_is_in_subgroup, conjecture, (subgroup_member @ c)).
% 1.01/0.65 thf(zf_stmt_0, negated_conjecture, (~( subgroup_member @ c )),
% 1.01/0.65 inference('cnf.neg', [status(esa)], [prove_c_is_in_subgroup])).
% 1.01/0.65 thf(zip_derived_cl14, plain, (~ (subgroup_member @ c)),
% 1.01/0.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.01/0.65 thf(a_times_inverse_b_is_c, axiom, (product @ a @ ( inverse @ b ) @ c)).
% 1.01/0.65 thf(zip_derived_cl13, plain, ( (product @ a @ (inverse @ b) @ c)),
% 1.01/0.65 inference('cnf', [status(esa)], [a_times_inverse_b_is_c])).
% 1.01/0.65 thf(closure_of_product_and_inverse, axiom,
% 1.01/0.65 (( ~( subgroup_member @ A ) ) | ( ~( subgroup_member @ B ) ) |
% 1.01/0.65 ( ~( product @ A @ ( inverse @ B ) @ C ) ) | ( subgroup_member @ C ))).
% 1.01/0.65 thf(zip_derived_cl8, plain,
% 1.01/0.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.01/0.65 (~ (subgroup_member @ X0)
% 1.01/0.65 | ~ (subgroup_member @ X1)
% 1.01/0.65 | ~ (product @ X0 @ (inverse @ X1) @ X2)
% 1.01/0.65 | (subgroup_member @ X2))),
% 1.01/0.65 inference('cnf', [status(esa)], [closure_of_product_and_inverse])).
% 1.01/0.65 thf(zip_derived_cl71, plain,
% 1.01/0.65 ((~ (subgroup_member @ a)
% 1.01/0.65 | ~ (subgroup_member @ b)
% 1.01/0.65 | (subgroup_member @ c))),
% 1.01/0.65 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl8])).
% 1.01/0.65 thf(a_is_in_subgroup, axiom, (subgroup_member @ a)).
% 1.01/0.65 thf(zip_derived_cl11, plain, ( (subgroup_member @ a)),
% 1.01/0.65 inference('cnf', [status(esa)], [a_is_in_subgroup])).
% 1.01/0.65 thf(b_is_in_subgroup, axiom, (subgroup_member @ b)).
% 1.01/0.65 thf(zip_derived_cl12, plain, ( (subgroup_member @ b)),
% 1.01/0.65 inference('cnf', [status(esa)], [b_is_in_subgroup])).
% 1.01/0.65 thf(zip_derived_cl75, plain, ( (subgroup_member @ c)),
% 1.01/0.65 inference('demod', [status(thm)],
% 1.01/0.65 [zip_derived_cl71, zip_derived_cl11, zip_derived_cl12])).
% 1.01/0.65 thf(zip_derived_cl83, plain, ($false),
% 1.01/0.65 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl75])).
% 1.01/0.65
% 1.01/0.65 % SZS output end Refutation
% 1.01/0.65
% 1.01/0.65
% 1.01/0.65 % Terminating...
% 1.21/0.75 % Runner terminated.
% 1.21/0.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------