%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP033-3 : TPTP v9.2.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ocduWXzJQt true
% Computer : n004.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 1.26s 0.74s
% Output : Refutation 1.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP033-3 : TPTP v9.2.0. Bugfixed v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ocduWXzJQt true
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 14:19:23 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.57/0.61 % Total configuration time : 435
% 0.57/0.61 % Estimated wc time : 1092
% 0.57/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.70/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.70/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.26/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.26/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.26/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.26/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.26/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.74 % Solved by fo/fo1_av.sh.
% 1.26/0.74 % done 15 iterations in 0.016s
% 1.26/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.26/0.74 % SZS output start Refutation
% 1.26/0.74 thf(product_type, type, product: $i > $i > $i > $o).
% 1.26/0.74 thf(j_type, type, j: $i > $i).
% 1.26/0.74 thf(a_type, type, a: $i).
% 1.26/0.74 thf(inverse_type, type, inverse: $i > $i).
% 1.26/0.74 thf(identity_type, type, identity: $i).
% 1.26/0.74 thf(subgroup_member_type, type, subgroup_member: $i > $o).
% 1.26/0.74 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 1.26/0.74 thf(zip_derived_cl13, plain,
% 1.26/0.74 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 1.26/0.74 inference('cnf', [status(esa)], [right_inverse])).
% 1.26/0.74 thf(closure_of_product_and_inverse, axiom,
% 1.26/0.74 (( ~( subgroup_member @ A ) ) | ( ~( subgroup_member @ B ) ) |
% 1.26/0.74 ( ~( product @ A @ ( inverse @ B ) @ C ) ) | ( subgroup_member @ C ))).
% 1.26/0.74 thf(zip_derived_cl18, plain,
% 1.26/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.74 (~ (subgroup_member @ X0)
% 1.26/0.74 | ~ (subgroup_member @ X1)
% 1.26/0.74 | ~ (product @ X0 @ (inverse @ X1) @ X2)
% 1.26/0.74 | (subgroup_member @ X2))),
% 1.26/0.74 inference('cnf', [status(esa)], [closure_of_product_and_inverse])).
% 1.26/0.74 thf(zip_derived_cl37, plain,
% 1.26/0.74 (![X0 : $i]:
% 1.26/0.74 (~ (subgroup_member @ X0)
% 1.26/0.74 | ~ (subgroup_member @ X0)
% 1.26/0.74 | (subgroup_member @ identity))),
% 1.26/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl18])).
% 1.26/0.74 thf(zip_derived_cl40, plain,
% 1.26/0.74 (![X0 : $i]: ( (subgroup_member @ identity) | ~ (subgroup_member @ X0))),
% 1.26/0.74 inference('simplify', [status(thm)], [zip_derived_cl37])).
% 1.26/0.74 thf(right_identity, axiom, (product @ X @ identity @ X)).
% 1.26/0.74 thf(zip_derived_cl11, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 1.26/0.74 inference('cnf', [status(esa)], [right_identity])).
% 1.26/0.74 thf(prove_subgr2, conjecture,
% 1.26/0.74 (~( ( ~( subgroup_member @ A ) ) |
% 1.26/0.74 ( ~( product @ A @ ( j @ A ) @ ( j @ A ) ) ) |
% 1.26/0.74 ( ~( product @ ( j @ A ) @ A @ ( j @ A ) ) ) ))).
% 1.26/0.74 thf(zf_stmt_0, negated_conjecture,
% 1.26/0.74 (( ~( subgroup_member @ A ) ) |
% 1.26/0.74 ( ~( product @ A @ ( j @ A ) @ ( j @ A ) ) ) |
% 1.26/0.74 ( ~( product @ ( j @ A ) @ A @ ( j @ A ) ) )),
% 1.26/0.74 inference('cnf.neg', [status(esa)], [prove_subgr2])).
% 1.26/0.74 thf(zip_derived_cl21, plain,
% 1.26/0.74 (![X0 : $i]:
% 1.26/0.74 (~ (subgroup_member @ X0)
% 1.26/0.74 | ~ (product @ X0 @ (j @ X0) @ (j @ X0))
% 1.26/0.74 | ~ (product @ (j @ X0) @ X0 @ (j @ X0)))),
% 1.26/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.26/0.74 thf(zip_derived_cl25, plain,
% 1.26/0.74 ((~ (subgroup_member @ identity)
% 1.26/0.74 | ~ (product @ identity @ (j @ identity) @ (j @ identity)))),
% 1.26/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl21])).
% 1.26/0.74 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 1.26/0.74 thf(zip_derived_cl10, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 1.26/0.74 inference('cnf', [status(esa)], [left_identity])).
% 1.26/0.74 thf(zip_derived_cl26, plain, (~ (subgroup_member @ identity)),
% 1.26/0.74 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl10])).
% 1.26/0.74 thf(zip_derived_cl46, plain, (![X0 : $i]: ~ (subgroup_member @ X0)),
% 1.26/0.74 inference('clc', [status(thm)], [zip_derived_cl40, zip_derived_cl26])).
% 1.26/0.74 thf(a_is_in_subgroup, axiom, (subgroup_member @ a)).
% 1.26/0.74 thf(zip_derived_cl19, plain, ( (subgroup_member @ a)),
% 1.26/0.74 inference('cnf', [status(esa)], [a_is_in_subgroup])).
% 1.26/0.74 thf(zip_derived_cl47, plain, ($false),
% 1.26/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl19])).
% 1.26/0.74
% 1.26/0.74 % SZS output end Refutation
% 1.26/0.74
% 1.26/0.74
% 1.26/0.74 % Terminating...
% 1.46/0.83 % Runner terminated.
% 1.46/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------