%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD025-4 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ULf5K3MsbJ true
% Computer : n001.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 04:33:12 PM UTC 2025
% Result : Unsatisfiable 0.52s 0.92s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD025-4 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ULf5K3MsbJ true
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 18:30:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.46/0.61 % Total configuration time : 435
% 0.46/0.61 % Estimated wc time : 1092
% 0.46/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.92 % Solved by fo/fo3_bce.sh.
% 0.52/0.92 % BCE start: 35
% 0.52/0.92 % BCE eliminated: 0
% 0.52/0.92 % PE start: 35
% 0.52/0.92 logic: neq
% 0.52/0.92 % PE eliminated: 0
% 0.52/0.92 % done 198 iterations in 0.168s
% 0.52/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.92 % SZS output start Refutation
% 0.52/0.92 thf(b_type, type, b: $i).
% 0.52/0.92 thf(a_type, type, a: $i).
% 0.52/0.92 thf(d_type, type, d: $i).
% 0.52/0.92 thf(product_type, type, product: $i > $i > $i > $o).
% 0.52/0.92 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 0.52/0.92 thf(c_type, type, c: $i).
% 0.52/0.92 thf(u_type, type, u: $i).
% 0.52/0.92 thf(defined_type, type, defined: $i > $o).
% 0.52/0.92 thf(not_product_9, conjecture, (product @ d @ b @ u)).
% 0.52/0.92 thf(zf_stmt_0, negated_conjecture, (~( product @ d @ b @ u )),
% 0.52/0.92 inference('cnf.neg', [status(esa)], [not_product_9])).
% 0.52/0.92 thf(zip_derived_cl34, plain, (~ (product @ d @ b @ u)),
% 0.52/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.52/0.92 thf(product_7, conjecture, (~( product @ multiplicative_identity @ c @ d ))).
% 0.52/0.92 thf(zf_stmt_1, negated_conjecture,
% 0.52/0.92 (product @ multiplicative_identity @ c @ d),
% 0.52/0.92 inference('cnf.neg', [status(esa)], [product_7])).
% 0.52/0.92 thf(zip_derived_cl32, plain, ( (product @ multiplicative_identity @ c @ d)),
% 0.52/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.52/0.92 thf(product_6, conjecture, (~( product @ multiplicative_identity @ a @ b ))).
% 0.52/0.92 thf(zf_stmt_2, negated_conjecture,
% 0.52/0.92 (product @ multiplicative_identity @ a @ b),
% 0.52/0.92 inference('cnf.neg', [status(esa)], [product_6])).
% 0.52/0.92 thf(zip_derived_cl31, plain, ( (product @ multiplicative_identity @ a @ b)),
% 0.52/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.52/0.92 thf(existence_of_identity_multiplication, axiom,
% 0.52/0.92 (( product @ multiplicative_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 0.52/0.92 thf(zip_derived_cl7, plain,
% 0.52/0.92 (![X0 : $i]:
% 0.52/0.92 ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 0.52/0.92 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 0.52/0.92 thf(commutativity_multiplication, axiom,
% 0.52/0.92 (( product @ Y @ X @ Z ) | ( ~( product @ X @ Y @ Z ) ))).
% 0.52/0.92 thf(zip_derived_cl9, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.92 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 0.52/0.92 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 0.52/0.92 thf(zip_derived_cl38, plain,
% 0.52/0.92 (![X0 : $i]:
% 0.52/0.92 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 0.52/0.92 thf(product_8, conjecture, (~( product @ a @ c @ u ))).
% 0.52/0.92 thf(zf_stmt_3, negated_conjecture, (product @ a @ c @ u),
% 0.52/0.92 inference('cnf.neg', [status(esa)], [product_8])).
% 0.52/0.92 thf(zip_derived_cl33, plain, ( (product @ a @ c @ u)),
% 0.52/0.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.52/0.92 thf(associativity_multiplication_1, axiom,
% 0.52/0.92 (( product @ X @ V @ W ) | ( ~( product @ X @ Y @ U ) ) |
% 0.52/0.92 ( ~( product @ Y @ Z @ V ) ) | ( ~( product @ U @ Z @ W ) ))).
% 0.52/0.92 thf(zip_derived_cl5, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.52/0.92 ( (product @ X0 @ X1 @ X2)
% 0.52/0.92 | ~ (product @ X0 @ X3 @ X4)
% 0.52/0.92 | ~ (product @ X3 @ X5 @ X1)
% 0.52/0.92 | ~ (product @ X4 @ X5 @ X2))),
% 0.52/0.92 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 0.52/0.92 thf(zip_derived_cl95, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.92 (~ (product @ u @ X1 @ X0)
% 0.52/0.92 | ~ (product @ c @ X1 @ X2)
% 0.52/0.92 | (product @ a @ X2 @ X0))),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl5])).
% 0.52/0.92 thf(zip_derived_cl185, plain,
% 0.52/0.92 (![X0 : $i]:
% 0.52/0.92 (~ (defined @ u)
% 0.52/0.92 | (product @ a @ X0 @ u)
% 0.52/0.92 | ~ (product @ c @ multiplicative_identity @ X0))),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl95])).
% 0.52/0.92 thf(u_is_defined, axiom, (defined @ u)).
% 0.52/0.92 thf(zip_derived_cl30, plain, ( (defined @ u)),
% 0.52/0.92 inference('cnf', [status(esa)], [u_is_defined])).
% 0.52/0.92 thf(zip_derived_cl186, plain,
% 0.52/0.92 (![X0 : $i]:
% 0.52/0.92 ( (product @ a @ X0 @ u)
% 0.52/0.92 | ~ (product @ c @ multiplicative_identity @ X0))),
% 0.52/0.92 inference('demod', [status(thm)], [zip_derived_cl185, zip_derived_cl30])).
% 0.52/0.92 thf(zip_derived_cl32, plain, ( (product @ multiplicative_identity @ c @ d)),
% 0.52/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.52/0.92 thf(zip_derived_cl9, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.92 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 0.52/0.92 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 0.52/0.92 thf(zip_derived_cl40, plain, ( (product @ c @ multiplicative_identity @ d)),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl9])).
% 0.52/0.92 thf(zip_derived_cl188, plain, ( (product @ a @ d @ u)),
% 0.52/0.92 inference('sup+', [status(thm)], [zip_derived_cl186, zip_derived_cl40])).
% 0.52/0.92 thf(zip_derived_cl9, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.92 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 0.52/0.92 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 0.52/0.92 thf(zip_derived_cl195, plain, ( (product @ d @ a @ u)),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl188, zip_derived_cl9])).
% 0.52/0.92 thf(zip_derived_cl40, plain, ( (product @ c @ multiplicative_identity @ d)),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl9])).
% 0.52/0.92 thf(zip_derived_cl5, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.52/0.92 ( (product @ X0 @ X1 @ X2)
% 0.52/0.92 | ~ (product @ X0 @ X3 @ X4)
% 0.52/0.92 | ~ (product @ X3 @ X5 @ X1)
% 0.52/0.92 | ~ (product @ X4 @ X5 @ X2))),
% 0.52/0.92 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 0.52/0.92 thf(zip_derived_cl96, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.92 (~ (product @ d @ X1 @ X0)
% 0.52/0.92 | ~ (product @ multiplicative_identity @ X1 @ X2)
% 0.52/0.92 | (product @ c @ X2 @ X0))),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl5])).
% 0.52/0.92 thf(zip_derived_cl220, plain,
% 0.52/0.92 (![X0 : $i]:
% 0.52/0.92 ( (product @ c @ X0 @ u)
% 0.52/0.92 | ~ (product @ multiplicative_identity @ a @ X0))),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl195, zip_derived_cl96])).
% 0.52/0.92 thf(zip_derived_cl9, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.92 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 0.52/0.92 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 0.52/0.92 thf(zip_derived_cl250, plain,
% 0.52/0.92 (![X0 : $i]:
% 0.52/0.92 (~ (product @ multiplicative_identity @ a @ X0)
% 0.52/0.92 | (product @ X0 @ c @ u))),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl220, zip_derived_cl9])).
% 0.52/0.92 thf(zip_derived_cl313, plain, ( (product @ b @ c @ u)),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl250])).
% 0.52/0.92 thf(zip_derived_cl38, plain,
% 0.52/0.92 (![X0 : $i]:
% 0.52/0.92 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 0.52/0.92 thf(zip_derived_cl31, plain, ( (product @ multiplicative_identity @ a @ b)),
% 0.52/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.52/0.92 thf(zip_derived_cl5, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.52/0.92 ( (product @ X0 @ X1 @ X2)
% 0.52/0.92 | ~ (product @ X0 @ X3 @ X4)
% 0.52/0.92 | ~ (product @ X3 @ X5 @ X1)
% 0.52/0.92 | ~ (product @ X4 @ X5 @ X2))),
% 0.52/0.92 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 0.52/0.92 thf(zip_derived_cl92, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.92 (~ (product @ b @ X1 @ X0)
% 0.52/0.92 | ~ (product @ a @ X1 @ X2)
% 0.52/0.92 | (product @ multiplicative_identity @ X2 @ X0))),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl5])).
% 0.52/0.92 thf(zip_derived_cl108, plain,
% 0.52/0.92 (![X0 : $i]:
% 0.52/0.92 (~ (defined @ b)
% 0.52/0.92 | (product @ multiplicative_identity @ X0 @ b)
% 0.52/0.92 | ~ (product @ a @ multiplicative_identity @ X0))),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl92])).
% 0.52/0.92 thf(b_is_defined, axiom, (defined @ b)).
% 0.52/0.92 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 0.52/0.92 inference('cnf', [status(esa)], [b_is_defined])).
% 0.52/0.92 thf(zip_derived_cl109, plain,
% 0.52/0.92 (![X0 : $i]:
% 0.52/0.92 ( (product @ multiplicative_identity @ X0 @ b)
% 0.52/0.92 | ~ (product @ a @ multiplicative_identity @ X0))),
% 0.52/0.92 inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl27])).
% 0.52/0.92 thf(zip_derived_cl31, plain, ( (product @ multiplicative_identity @ a @ b)),
% 0.52/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.52/0.92 thf(zip_derived_cl9, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.92 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 0.52/0.92 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 0.52/0.92 thf(zip_derived_cl39, plain, ( (product @ a @ multiplicative_identity @ b)),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl9])).
% 0.52/0.92 thf(zip_derived_cl111, plain, ( (product @ multiplicative_identity @ b @ b)),
% 0.52/0.92 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl39])).
% 0.52/0.92 thf(zip_derived_cl9, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.92 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 0.52/0.92 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 0.52/0.92 thf(zip_derived_cl117, plain, ( (product @ b @ multiplicative_identity @ b)),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl9])).
% 0.52/0.92 thf(zip_derived_cl5, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.52/0.92 ( (product @ X0 @ X1 @ X2)
% 0.52/0.92 | ~ (product @ X0 @ X3 @ X4)
% 0.52/0.92 | ~ (product @ X3 @ X5 @ X1)
% 0.52/0.92 | ~ (product @ X4 @ X5 @ X2))),
% 0.52/0.92 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 0.52/0.92 thf(zip_derived_cl118, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.92 (~ (product @ b @ X1 @ X0)
% 0.52/0.92 | ~ (product @ multiplicative_identity @ X1 @ X2)
% 0.52/0.92 | (product @ b @ X2 @ X0))),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl117, zip_derived_cl5])).
% 0.52/0.92 thf(zip_derived_cl607, plain,
% 0.52/0.92 (![X0 : $i]:
% 0.52/0.92 ( (product @ b @ X0 @ u)
% 0.52/0.92 | ~ (product @ multiplicative_identity @ c @ X0))),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl313, zip_derived_cl118])).
% 0.52/0.92 thf(zip_derived_cl9, plain,
% 0.52/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.92 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 0.52/0.92 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 0.52/0.92 thf(zip_derived_cl662, plain,
% 0.52/0.92 (![X0 : $i]:
% 0.52/0.92 (~ (product @ multiplicative_identity @ c @ X0)
% 0.52/0.92 | (product @ X0 @ b @ u))),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl607, zip_derived_cl9])).
% 0.52/0.92 thf(zip_derived_cl678, plain, ( (product @ d @ b @ u)),
% 0.52/0.92 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl662])).
% 0.52/0.92 thf(zip_derived_cl681, plain, ($false),
% 0.52/0.92 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl678])).
% 0.52/0.92
% 0.52/0.92 % SZS output end Refutation
% 0.52/0.92
% 0.52/0.92
% 0.52/0.92 % Terminating...
% 0.59/1.03 % Runner terminated.
% 1.91/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------