%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP037-3 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8vWuFPhOuK true
% Computer : n018.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 1.24s 0.74s
% Output : Refutation 1.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP037-3 : TPTP v9.2.0. Released v1.0.0.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8vWuFPhOuK true
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 14:21:23 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.16/0.58 % Total configuration time : 435
% 0.16/0.58 % Estimated wc time : 1092
% 0.16/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.84/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.84/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.84/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.84/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.84/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.84/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.84/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.24/0.74 % Solved by fo/fo1_av.sh.
% 1.24/0.74 % done 84 iterations in 0.041s
% 1.24/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.24/0.74 % SZS output start Refutation
% 1.24/0.74 thf(inverse_type, type, inverse: $i > $i).
% 1.24/0.74 thf(product_type, type, product: $i > $i > $i > $o).
% 1.24/0.74 thf(another_identity_type, type, another_identity: $i).
% 1.24/0.74 thf(a_type, type, a: $i).
% 1.24/0.74 thf(identity_type, type, identity: $i).
% 1.24/0.74 thf(subgroup_member_type, type, subgroup_member: $i > $o).
% 1.24/0.74 thf(another_inverse_type, type, another_inverse: $i > $i).
% 1.24/0.74 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 1.24/0.74 thf(zip_derived_cl3, plain,
% 1.24/0.74 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 1.24/0.74 inference('cnf', [status(esa)], [right_inverse])).
% 1.24/0.74 thf(closure_of_product_and_inverse, axiom,
% 1.24/0.74 (( ~( subgroup_member @ A ) ) | ( ~( subgroup_member @ B ) ) |
% 1.24/0.74 ( ~( product @ A @ ( inverse @ B ) @ C ) ) | ( subgroup_member @ C ))).
% 1.24/0.74 thf(zip_derived_cl8, plain,
% 1.24/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/0.74 (~ (subgroup_member @ X0)
% 1.24/0.74 | ~ (subgroup_member @ X1)
% 1.24/0.75 | ~ (product @ X0 @ (inverse @ X1) @ X2)
% 1.24/0.75 | (subgroup_member @ X2))),
% 1.24/0.75 inference('cnf', [status(esa)], [closure_of_product_and_inverse])).
% 1.24/0.75 thf(zip_derived_cl143, plain,
% 1.24/0.75 (![X0 : $i]:
% 1.24/0.75 (~ (subgroup_member @ X0)
% 1.24/0.75 | ~ (subgroup_member @ X0)
% 1.24/0.75 | (subgroup_member @ identity))),
% 1.24/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 1.24/0.75 thf(zip_derived_cl148, plain,
% 1.24/0.75 (![X0 : $i]: ( (subgroup_member @ identity) | ~ (subgroup_member @ X0))),
% 1.24/0.75 inference('simplify', [status(thm)], [zip_derived_cl143])).
% 1.24/0.75 thf(another_left_identity, axiom,
% 1.24/0.75 (( ~( subgroup_member @ A ) ) | ( product @ another_identity @ A @ A ))).
% 1.24/0.75 thf(zip_derived_cl9, plain,
% 1.24/0.75 (![X0 : $i]:
% 1.24/0.75 (~ (subgroup_member @ X0) | (product @ another_identity @ X0 @ X0))),
% 1.24/0.75 inference('cnf', [status(esa)], [another_left_identity])).
% 1.24/0.75 thf(right_identity, axiom, (product @ X @ identity @ X)).
% 1.24/0.75 thf(zip_derived_cl1, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 1.24/0.75 inference('cnf', [status(esa)], [right_identity])).
% 1.24/0.75 thf(total_function2, axiom,
% 1.24/0.75 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 1.24/0.75 ( ( Z ) = ( W ) ))).
% 1.24/0.75 thf(zip_derived_cl5, plain,
% 1.24/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.75 (~ (product @ X0 @ X1 @ X2)
% 1.24/0.75 | ~ (product @ X0 @ X1 @ X3)
% 1.24/0.75 | ((X2) = (X3)))),
% 1.24/0.75 inference('cnf', [status(esa)], [total_function2])).
% 1.24/0.75 thf(zip_derived_cl19, plain,
% 1.24/0.75 (![X0 : $i, X1 : $i]: (~ (product @ X0 @ identity @ X1) | ((X0) = (X1)))),
% 1.24/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 1.24/0.75 thf(zip_derived_cl58, plain,
% 1.24/0.75 ((~ (subgroup_member @ identity) | ((another_identity) = (identity)))),
% 1.24/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl19])).
% 1.24/0.75 thf(zip_derived_cl62, plain,
% 1.24/0.75 ((~ (subgroup_member @ identity)) <= (~ ( (subgroup_member @ identity)))),
% 1.24/0.75 inference('split', [status(esa)], [zip_derived_cl58])).
% 1.24/0.75 thf(zip_derived_cl3, plain,
% 1.24/0.75 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 1.24/0.75 inference('cnf', [status(esa)], [right_inverse])).
% 1.24/0.75 thf(zip_derived_cl63, plain,
% 1.24/0.75 ((((another_identity) = (identity)))
% 1.24/0.75 <= ((((another_identity) = (identity))))),
% 1.24/0.75 inference('split', [status(esa)], [zip_derived_cl58])).
% 1.24/0.75 thf(another_right_inverse, axiom,
% 1.24/0.75 (( ~( subgroup_member @ A ) ) |
% 1.24/0.75 ( product @ A @ ( another_inverse @ A ) @ another_identity ))).
% 1.24/0.75 thf(zip_derived_cl11, plain,
% 1.24/0.75 (![X0 : $i]:
% 1.24/0.75 (~ (subgroup_member @ X0)
% 1.24/0.75 | (product @ X0 @ (another_inverse @ X0) @ another_identity))),
% 1.24/0.75 inference('cnf', [status(esa)], [another_right_inverse])).
% 1.24/0.75 thf(zip_derived_cl131, plain,
% 1.24/0.75 ((![X0 : $i]:
% 1.24/0.75 (~ (subgroup_member @ X0)
% 1.24/0.75 | (product @ X0 @ (another_inverse @ X0) @ identity)))
% 1.24/0.75 <= ((((another_identity) = (identity))))),
% 1.24/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl11])).
% 1.24/0.75 thf(product_right_cancellation, axiom,
% 1.24/0.75 (( ~( product @ A @ B @ C ) ) | ( ~( product @ A @ D @ C ) ) |
% 1.24/0.75 ( ( D ) = ( B ) ))).
% 1.24/0.75 thf(zip_derived_cl14, plain,
% 1.24/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.75 (~ (product @ X0 @ X1 @ X2)
% 1.24/0.75 | ~ (product @ X0 @ X3 @ X2)
% 1.24/0.75 | ((X3) = (X1)))),
% 1.24/0.75 inference('cnf', [status(esa)], [product_right_cancellation])).
% 1.24/0.75 thf(zip_derived_cl201, plain,
% 1.24/0.75 ((![X0 : $i, X1 : $i]:
% 1.24/0.75 (~ (subgroup_member @ X0)
% 1.24/0.75 | ~ (product @ X0 @ X1 @ identity)
% 1.24/0.75 | ((X1) = (another_inverse @ X0))))
% 1.24/0.75 <= ((((another_identity) = (identity))))),
% 1.24/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl14])).
% 1.24/0.75 thf(zip_derived_cl209, plain,
% 1.24/0.75 ((![X0 : $i]:
% 1.24/0.75 (~ (subgroup_member @ X0) | ((inverse @ X0) = (another_inverse @ X0))))
% 1.24/0.75 <= ((((another_identity) = (identity))))),
% 1.24/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl201])).
% 1.24/0.75 thf(prove_two_inverses_are_equal, conjecture,
% 1.24/0.75 (( inverse @ a ) = ( another_inverse @ a ))).
% 1.24/0.75 thf(zf_stmt_0, negated_conjecture,
% 1.24/0.75 (( inverse @ a ) != ( another_inverse @ a )),
% 1.24/0.75 inference('cnf.neg', [status(esa)], [prove_two_inverses_are_equal])).
% 1.24/0.75 thf(zip_derived_cl18, plain, (((inverse @ a) != (another_inverse @ a))),
% 1.24/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/0.75 thf(zip_derived_cl237, plain,
% 1.24/0.75 (((~ (subgroup_member @ a) | ((inverse @ a) != (inverse @ a))))
% 1.24/0.75 <= ((((another_identity) = (identity))))),
% 1.24/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl209, zip_derived_cl18])).
% 1.24/0.75 thf(a_is_in_subgroup, axiom, (subgroup_member @ a)).
% 1.24/0.75 thf(zip_derived_cl16, plain, ( (subgroup_member @ a)),
% 1.24/0.75 inference('cnf', [status(esa)], [a_is_in_subgroup])).
% 1.24/0.75 thf(zip_derived_cl246, plain,
% 1.24/0.75 ((((inverse @ a) != (inverse @ a)))
% 1.24/0.75 <= ((((another_identity) = (identity))))),
% 1.24/0.75 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl16])).
% 1.24/0.75 thf('0', plain, (~ (((another_identity) = (identity)))),
% 1.24/0.75 inference('simplify', [status(thm)], [zip_derived_cl246])).
% 1.24/0.75 thf('1', plain,
% 1.24/0.75 (~ ( (subgroup_member @ identity)) | (((another_identity) = (identity)))),
% 1.24/0.75 inference('split', [status(esa)], [zip_derived_cl58])).
% 1.24/0.75 thf('2', plain, (~ ( (subgroup_member @ identity))),
% 1.24/0.75 inference('sat_resolution*', [status(thm)], ['0', '1'])).
% 1.24/0.75 thf(zip_derived_cl248, plain, (~ (subgroup_member @ identity)),
% 1.24/0.75 inference('simpl_trail', [status(thm)], [zip_derived_cl62, '2'])).
% 1.24/0.75 thf(zip_derived_cl257, plain, (![X0 : $i]: ~ (subgroup_member @ X0)),
% 1.24/0.75 inference('clc', [status(thm)], [zip_derived_cl148, zip_derived_cl248])).
% 1.24/0.75 thf(another_identity_in_subgroup, axiom,
% 1.24/0.75 (subgroup_member @ another_identity)).
% 1.24/0.75 thf(zip_derived_cl17, plain, ( (subgroup_member @ another_identity)),
% 1.24/0.75 inference('cnf', [status(esa)], [another_identity_in_subgroup])).
% 1.24/0.75 thf(zip_derived_cl258, plain, ($false),
% 1.24/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl257, zip_derived_cl17])).
% 1.24/0.75
% 1.24/0.75 % SZS output end Refutation
% 1.24/0.75
% 1.24/0.75
% 1.24/0.75 % Terminating...
% 1.54/0.79 % Runner terminated.
% 1.54/0.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------