%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP036-3 : 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.Ut7wKommHf true
% Computer : n029.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 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP036-3 : TPTP v9.2.0. Released v1.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ut7wKommHf true
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 14:08:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.43/0.64 % Total configuration time : 435
% 0.43/0.64 % Estimated wc time : 1092
% 0.43/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % Solved by fo/fo3_bce.sh.
% 0.55/0.75 % BCE start: 16
% 0.55/0.75 % BCE eliminated: 0
% 0.55/0.75 % PE start: 16
% 0.55/0.75 logic: eq
% 0.55/0.75 % PE eliminated: 0
% 0.55/0.75 % done 15 iterations in 0.011s
% 0.55/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.75 % SZS output start Refutation
% 0.55/0.75 thf(inverse_type, type, inverse: $i > $i).
% 0.55/0.75 thf(product_type, type, product: $i > $i > $i > $o).
% 0.55/0.75 thf(another_identity_type, type, another_identity: $i).
% 0.55/0.75 thf(identity_type, type, identity: $i).
% 0.55/0.75 thf(subgroup_member_type, type, subgroup_member: $i > $o).
% 0.55/0.75 thf(another_left_identity, axiom,
% 0.55/0.75 (( ~( subgroup_member @ A ) ) | ( product @ another_identity @ A @ A ))).
% 0.55/0.75 thf(zip_derived_cl9, plain,
% 0.55/0.75 (![X0 : $i]:
% 0.55/0.75 (~ (subgroup_member @ X0) | (product @ another_identity @ X0 @ X0))),
% 0.55/0.75 inference('cnf', [status(esa)], [another_left_identity])).
% 0.55/0.75 thf(right_identity, axiom, (product @ X @ identity @ X)).
% 0.55/0.75 thf(zip_derived_cl1, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 0.55/0.75 inference('cnf', [status(esa)], [right_identity])).
% 0.55/0.75 thf(total_function2, axiom,
% 0.55/0.75 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.55/0.75 ( ( Z ) = ( W ) ))).
% 0.55/0.75 thf(zip_derived_cl5, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.75 (~ (product @ X0 @ X1 @ X2)
% 0.55/0.75 | ~ (product @ X0 @ X1 @ X3)
% 0.55/0.75 | ((X2) = (X3)))),
% 0.55/0.75 inference('cnf', [status(esa)], [total_function2])).
% 0.55/0.75 thf(zip_derived_cl76, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]: (((X0) = (X1)) | ~ (product @ X0 @ identity @ X1))),
% 0.55/0.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.55/0.75 thf(zip_derived_cl111, plain,
% 0.55/0.75 ((~ (subgroup_member @ identity) | ((another_identity) = (identity)))),
% 0.55/0.75 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl76])).
% 0.55/0.75 thf(another_identity_in_subgroup, axiom,
% 0.55/0.75 (subgroup_member @ another_identity)).
% 0.55/0.75 thf(zip_derived_cl14, plain, ( (subgroup_member @ another_identity)),
% 0.55/0.75 inference('cnf', [status(esa)], [another_identity_in_subgroup])).
% 0.55/0.75 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 0.55/0.75 thf(zip_derived_cl3, plain,
% 0.55/0.75 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.55/0.75 inference('cnf', [status(esa)], [right_inverse])).
% 0.55/0.75 thf(closure_of_product_and_inverse, axiom,
% 0.55/0.75 (( ~( subgroup_member @ A ) ) | ( ~( subgroup_member @ B ) ) |
% 0.55/0.75 ( ~( product @ A @ ( inverse @ B ) @ C ) ) | ( subgroup_member @ C ))).
% 0.55/0.75 thf(zip_derived_cl8, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.75 (~ (subgroup_member @ X0)
% 0.55/0.75 | ~ (subgroup_member @ X1)
% 0.55/0.75 | ~ (product @ X0 @ (inverse @ X1) @ X2)
% 0.55/0.75 | (subgroup_member @ X2))),
% 0.55/0.75 inference('cnf', [status(esa)], [closure_of_product_and_inverse])).
% 0.55/0.75 thf(zip_derived_cl87, plain,
% 0.55/0.75 (![X0 : $i]:
% 0.55/0.75 ( (subgroup_member @ identity)
% 0.55/0.75 | ~ (subgroup_member @ X0)
% 0.55/0.75 | ~ (subgroup_member @ X0))),
% 0.55/0.75 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 0.55/0.75 thf(zip_derived_cl91, plain,
% 0.55/0.75 (![X0 : $i]: (~ (subgroup_member @ X0) | (subgroup_member @ identity))),
% 0.55/0.75 inference('simplify', [status(thm)], [zip_derived_cl87])).
% 0.55/0.75 thf(zip_derived_cl98, plain, ( (subgroup_member @ identity)),
% 0.55/0.75 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl91])).
% 0.55/0.75 thf(zip_derived_cl112, plain, (((another_identity) = (identity))),
% 0.55/0.75 inference('demod', [status(thm)], [zip_derived_cl111, zip_derived_cl98])).
% 0.55/0.75 thf(prove_identity_equals_another_identity, conjecture,
% 0.55/0.75 (( identity ) = ( another_identity ))).
% 0.55/0.75 thf(zf_stmt_0, negated_conjecture, (( identity ) != ( another_identity )),
% 0.55/0.75 inference('cnf.neg', [status(esa)],
% 0.55/0.75 [prove_identity_equals_another_identity])).
% 0.55/0.75 thf(zip_derived_cl15, plain, (((identity) != (another_identity))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.75 thf(zip_derived_cl113, plain, ($false),
% 0.55/0.75 inference('simplify_reflect-', [status(thm)],
% 0.55/0.75 [zip_derived_cl112, zip_derived_cl15])).
% 0.55/0.75
% 0.55/0.75 % SZS output end Refutation
% 0.55/0.75
% 0.55/0.75
% 0.55/0.75 % Terminating...
% 0.58/0.84 % Runner terminated.
% 0.58/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------