%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP009-1 : 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.niJBYhJNhm true
% Computer : n007.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 04:35:24 PM UTC 2025
% Result : Unsatisfiable 0.47s 0.75s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP009-1 : TPTP v9.2.0. Released v1.0.0.
% 0.05/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.niJBYhJNhm true
% 0.10/0.31 % Computer : n007.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 14:12:38 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.16/0.31 % Python version: Python 3.6.8
% 0.16/0.31 % Running in FO mode
% 0.45/0.55 % Total configuration time : 435
% 0.45/0.55 % Estimated wc time : 1092
% 0.45/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.75 % Solved by fo/fo7.sh.
% 0.47/0.75 % done 120 iterations in 0.055s
% 0.47/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.47/0.75 % SZS output start Refutation
% 0.47/0.75 thf(inverse_type, type, inverse: $i > $i).
% 0.47/0.75 thf(product_type, type, product: $i > $i > $i > $o).
% 0.47/0.75 thf(b_type, type, b: $i).
% 0.47/0.75 thf(identity_type, type, identity: $i).
% 0.47/0.75 thf(c_type, type, c: $i).
% 0.47/0.75 thf(a_type, type, a: $i).
% 0.47/0.75 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.47/0.75 thf(total_function1, axiom, (product @ X @ Y @ ( multiply @ X @ Y ))).
% 0.47/0.75 thf(zip_derived_cl4, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.47/0.75 inference('cnf', [status(esa)], [total_function1])).
% 0.47/0.75 thf(c_is_an_inverse_of_b, axiom, (product @ c @ b @ identity)).
% 0.47/0.75 thf(zip_derived_cl9, plain, ( (product @ c @ b @ identity)),
% 0.47/0.75 inference('cnf', [status(esa)], [c_is_an_inverse_of_b])).
% 0.47/0.75 thf(total_function2, axiom,
% 0.47/0.75 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.47/0.75 ( ( Z ) = ( W ) ))).
% 0.47/0.75 thf(zip_derived_cl5, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.75 (~ (product @ X0 @ X1 @ X2)
% 0.47/0.75 | ~ (product @ X0 @ X1 @ X3)
% 0.47/0.75 | ((X2) = (X3)))),
% 0.47/0.75 inference('cnf', [status(esa)], [total_function2])).
% 0.47/0.75 thf(zip_derived_cl14, plain,
% 0.47/0.75 (![X0 : $i]: (((identity) = (X0)) | ~ (product @ c @ b @ X0))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 0.47/0.75 thf(zip_derived_cl61, plain, (((identity) = (multiply @ c @ b))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl14])).
% 0.47/0.75 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 0.47/0.75 thf(zip_derived_cl3, plain,
% 0.47/0.75 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.47/0.75 inference('cnf', [status(esa)], [right_inverse])).
% 0.47/0.75 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 0.47/0.75 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.47/0.75 inference('cnf', [status(esa)], [left_identity])).
% 0.47/0.75 thf(zip_derived_cl3, plain,
% 0.47/0.75 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.47/0.75 inference('cnf', [status(esa)], [right_inverse])).
% 0.47/0.75 thf(associativity1, axiom,
% 0.47/0.75 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.47/0.75 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 0.47/0.75 thf(zip_derived_cl6, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.47/0.75 (~ (product @ X0 @ X1 @ X2)
% 0.47/0.75 | ~ (product @ X1 @ X3 @ X4)
% 0.47/0.75 | ~ (product @ X2 @ X3 @ X5)
% 0.47/0.75 | (product @ X0 @ X4 @ X5))),
% 0.47/0.75 inference('cnf', [status(esa)], [associativity1])).
% 0.47/0.75 thf(zip_derived_cl47, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.75 ( (product @ X0 @ X2 @ X1)
% 0.47/0.75 | ~ (product @ identity @ X3 @ X1)
% 0.47/0.75 | ~ (product @ (inverse @ X0) @ X3 @ X2))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 0.47/0.75 thf(zip_derived_cl102, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.75 (~ (product @ (inverse @ X2) @ X0 @ X1) | (product @ X2 @ X1 @ X0))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl47])).
% 0.47/0.75 thf(zip_derived_cl108, plain,
% 0.47/0.75 (![X0 : $i]: (product @ X0 @ identity @ (inverse @ (inverse @ X0)))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl102])).
% 0.47/0.75 thf(right_identity, axiom, (product @ X @ identity @ X)).
% 0.47/0.75 thf(zip_derived_cl1, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 0.47/0.75 inference('cnf', [status(esa)], [right_identity])).
% 0.47/0.75 thf(zip_derived_cl5, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.75 (~ (product @ X0 @ X1 @ X2)
% 0.47/0.75 | ~ (product @ X0 @ X1 @ X3)
% 0.47/0.75 | ((X2) = (X3)))),
% 0.47/0.75 inference('cnf', [status(esa)], [total_function2])).
% 0.47/0.75 thf(zip_derived_cl11, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i]: (((X0) = (X1)) | ~ (product @ X0 @ identity @ X1))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.47/0.75 thf(zip_derived_cl122, plain,
% 0.47/0.75 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl11])).
% 0.47/0.75 thf(zip_derived_cl4, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.47/0.75 inference('cnf', [status(esa)], [total_function1])).
% 0.47/0.75 thf(zip_derived_cl102, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.75 (~ (product @ (inverse @ X2) @ X0 @ X1) | (product @ X2 @ X1 @ X0))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl47])).
% 0.47/0.75 thf(zip_derived_cl106, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i]:
% 0.47/0.75 (product @ X1 @ (multiply @ (inverse @ X1) @ X0) @ X0)),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl102])).
% 0.47/0.75 thf(zip_derived_cl4, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.47/0.75 inference('cnf', [status(esa)], [total_function1])).
% 0.47/0.75 thf(zip_derived_cl5, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.75 (~ (product @ X0 @ X1 @ X2)
% 0.47/0.75 | ~ (product @ X0 @ X1 @ X3)
% 0.47/0.75 | ((X2) = (X3)))),
% 0.47/0.75 inference('cnf', [status(esa)], [total_function2])).
% 0.47/0.75 thf(zip_derived_cl54, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.75 (((multiply @ X1 @ X0) = (X2)) | ~ (product @ X1 @ X0 @ X2))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.47/0.75 thf(zip_derived_cl184, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i]:
% 0.47/0.75 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl106, zip_derived_cl54])).
% 0.47/0.75 thf(zip_derived_cl213, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i]:
% 0.47/0.75 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 0.47/0.75 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl184])).
% 0.47/0.75 thf(zip_derived_cl231, plain,
% 0.47/0.75 (((multiply @ (inverse @ c) @ identity) = (b))),
% 0.47/0.75 inference('sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl213])).
% 0.47/0.75 thf(zip_derived_cl4, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.47/0.75 inference('cnf', [status(esa)], [total_function1])).
% 0.47/0.75 thf(zip_derived_cl11, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i]: (((X0) = (X1)) | ~ (product @ X0 @ identity @ X1))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.47/0.75 thf(zip_derived_cl57, plain,
% 0.47/0.75 (![X0 : $i]: ((X0) = (multiply @ X0 @ identity))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl11])).
% 0.47/0.75 thf(zip_derived_cl301, plain, (((inverse @ c) = (b))),
% 0.47/0.75 inference('sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl57])).
% 0.47/0.75 thf(zip_derived_cl122, plain,
% 0.47/0.75 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl11])).
% 0.47/0.75 thf(zip_derived_cl314, plain, (((c) = (inverse @ b))),
% 0.47/0.75 inference('sup+', [status(thm)], [zip_derived_cl301, zip_derived_cl122])).
% 0.47/0.75 thf(prove_a_equals_c, conjecture, (( a ) = ( c ))).
% 0.47/0.75 thf(zf_stmt_0, negated_conjecture, (( a ) != ( c )),
% 0.47/0.75 inference('cnf.neg', [status(esa)], [prove_a_equals_c])).
% 0.47/0.75 thf(zip_derived_cl10, plain, (((a) != (c))),
% 0.47/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.75 thf(zip_derived_cl4, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.47/0.75 inference('cnf', [status(esa)], [total_function1])).
% 0.47/0.75 thf(a_is_an_inverse_of_b, axiom, (product @ a @ b @ identity)).
% 0.47/0.75 thf(zip_derived_cl8, plain, ( (product @ a @ b @ identity)),
% 0.47/0.75 inference('cnf', [status(esa)], [a_is_an_inverse_of_b])).
% 0.47/0.75 thf(zip_derived_cl5, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.75 (~ (product @ X0 @ X1 @ X2)
% 0.47/0.75 | ~ (product @ X0 @ X1 @ X3)
% 0.47/0.75 | ((X2) = (X3)))),
% 0.47/0.75 inference('cnf', [status(esa)], [total_function2])).
% 0.47/0.75 thf(zip_derived_cl13, plain,
% 0.47/0.75 (![X0 : $i]: (((identity) = (X0)) | ~ (product @ a @ b @ X0))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 0.47/0.75 thf(zip_derived_cl60, plain, (((identity) = (multiply @ a @ b))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl13])).
% 0.47/0.75 thf(zip_derived_cl213, plain,
% 0.47/0.75 (![X0 : $i, X1 : $i]:
% 0.47/0.75 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 0.47/0.75 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl184])).
% 0.47/0.75 thf(zip_derived_cl230, plain,
% 0.47/0.75 (((multiply @ (inverse @ a) @ identity) = (b))),
% 0.47/0.75 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl213])).
% 0.47/0.75 thf(zip_derived_cl57, plain,
% 0.47/0.75 (![X0 : $i]: ((X0) = (multiply @ X0 @ identity))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl11])).
% 0.47/0.75 thf(zip_derived_cl270, plain, (((inverse @ a) = (b))),
% 0.47/0.75 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl57])).
% 0.47/0.75 thf(zip_derived_cl122, plain,
% 0.47/0.75 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.47/0.75 inference('sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl11])).
% 0.47/0.75 thf(zip_derived_cl283, plain, (((a) = (inverse @ b))),
% 0.47/0.75 inference('sup+', [status(thm)], [zip_derived_cl270, zip_derived_cl122])).
% 0.47/0.75 thf(zip_derived_cl292, plain, (((inverse @ b) != (c))),
% 0.47/0.75 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl283])).
% 0.47/0.75 thf(zip_derived_cl322, plain, ($false),
% 0.47/0.75 inference('simplify_reflect-', [status(thm)],
% 0.47/0.75 [zip_derived_cl314, zip_derived_cl292])).
% 0.47/0.75
% 0.47/0.75 % SZS output end Refutation
% 0.47/0.75
% 0.47/0.75
% 0.47/0.75 % Terminating...
% 1.48/0.78 % Runner terminated.
% 1.48/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------