%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD041-3 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fdV35AaETI true
% Computer : n023.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 04:33:16 PM UTC 2025
% Result : Unsatisfiable 6.44s 1.48s
% Output : Refutation 6.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : FLD041-3 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fdV35AaETI true
% 0.12/0.33 % Computer : n023.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 18:24:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.50/0.60 % Total configuration time : 435
% 0.50/0.60 % Estimated wc time : 1092
% 0.50/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.44/1.48 % Solved by fo/fo5.sh.
% 6.44/1.48 % done 1750 iterations in 0.733s
% 6.44/1.48 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.44/1.48 % SZS output start Refutation
% 6.44/1.48 thf(sum_type, type, sum: $i > $i > $i > $o).
% 6.44/1.48 thf(b_type, type, b: $i).
% 6.44/1.48 thf(a_type, type, a: $i).
% 6.44/1.48 thf(product_type, type, product: $i > $i > $i > $o).
% 6.44/1.48 thf(additive_identity_type, type, additive_identity: $i).
% 6.44/1.48 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 6.44/1.48 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 6.44/1.48 thf(multiplicative_inverse_type, type, multiplicative_inverse: $i > $i).
% 6.44/1.48 thf(defined_type, type, defined: $i > $o).
% 6.44/1.48 thf(not_sum_3, conjecture, (sum @ additive_identity @ a @ additive_identity)).
% 6.44/1.48 thf(zf_stmt_0, negated_conjecture,
% 6.44/1.48 (~( sum @ additive_identity @ a @ additive_identity )),
% 6.44/1.48 inference('cnf.neg', [status(esa)], [not_sum_3])).
% 6.44/1.48 thf(zip_derived_cl28, plain,
% 6.44/1.48 (~ (sum @ additive_identity @ a @ additive_identity)),
% 6.44/1.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.44/1.48 thf(existence_of_inverse_multiplication, axiom,
% 6.44/1.48 (( product @ ( multiplicative_inverse @ X ) @ X @ multiplicative_identity ) |
% 6.44/1.48 ( sum @ additive_identity @ X @ additive_identity ) | ( ~( defined @ X ) ))).
% 6.44/1.48 thf(zip_derived_cl8, plain,
% 6.44/1.48 (![X0 : $i]:
% 6.44/1.48 ( (product @ (multiplicative_inverse @ X0) @ X0 @
% 6.44/1.48 multiplicative_identity)
% 6.44/1.48 | (sum @ additive_identity @ X0 @ additive_identity)
% 6.44/1.48 | ~ (defined @ X0))),
% 6.44/1.48 inference('cnf', [status(esa)], [existence_of_inverse_multiplication])).
% 6.44/1.48 thf(commutativity_multiplication, axiom,
% 6.44/1.48 (( product @ Y @ X @ Z ) | ( ~( product @ X @ Y @ Z ) ))).
% 6.44/1.48 thf(zip_derived_cl9, plain,
% 6.44/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.44/1.48 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 6.44/1.48 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 6.44/1.48 thf(zip_derived_cl219, plain,
% 6.44/1.48 (![X0 : $i]:
% 6.44/1.48 (~ (defined @ X0)
% 6.44/1.48 | (sum @ additive_identity @ X0 @ additive_identity)
% 6.44/1.48 | (product @ X0 @ (multiplicative_inverse @ X0) @
% 6.44/1.48 multiplicative_identity))),
% 6.44/1.48 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl9])).
% 6.44/1.48 thf(existence_of_identity_multiplication, axiom,
% 6.44/1.48 (( product @ multiplicative_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 6.44/1.48 thf(zip_derived_cl7, plain,
% 6.44/1.48 (![X0 : $i]:
% 6.44/1.48 ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 6.44/1.48 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 6.44/1.48 thf(zip_derived_cl9, plain,
% 6.44/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.44/1.48 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 6.44/1.48 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 6.44/1.48 thf(zip_derived_cl57, plain,
% 6.44/1.48 (![X0 : $i]:
% 6.44/1.48 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 6.44/1.48 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 6.44/1.48 thf(product_5, conjecture, (~( product @ a @ b @ additive_identity ))).
% 6.44/1.48 thf(zf_stmt_1, negated_conjecture, (product @ a @ b @ additive_identity),
% 6.44/1.48 inference('cnf.neg', [status(esa)], [product_5])).
% 6.44/1.48 thf(zip_derived_cl30, plain, ( (product @ a @ b @ additive_identity)),
% 6.44/1.48 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.44/1.48 thf(associativity_multiplication_2, axiom,
% 6.44/1.48 (( product @ U @ Z @ W ) | ( ~( product @ X @ Y @ U ) ) |
% 6.44/1.48 ( ~( product @ Y @ Z @ V ) ) | ( ~( product @ X @ V @ W ) ))).
% 6.44/1.48 thf(zip_derived_cl6, plain,
% 6.44/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.44/1.48 ( (product @ X0 @ X1 @ X2)
% 6.44/1.48 | ~ (product @ X3 @ X4 @ X0)
% 6.44/1.48 | ~ (product @ X4 @ X1 @ X5)
% 6.44/1.48 | ~ (product @ X3 @ X5 @ X2))),
% 6.44/1.48 inference('cnf', [status(esa)], [associativity_multiplication_2])).
% 6.44/1.48 thf(zip_derived_cl172, plain,
% 6.44/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.44/1.48 (~ (product @ a @ X1 @ X0)
% 6.44/1.48 | ~ (product @ b @ X2 @ X1)
% 6.44/1.48 | (product @ additive_identity @ X2 @ X0))),
% 6.44/1.48 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl6])).
% 6.44/1.48 thf(zip_derived_cl368, plain,
% 6.44/1.48 (![X0 : $i]:
% 6.44/1.48 (~ (defined @ a)
% 6.44/1.48 | (product @ additive_identity @ X0 @ a)
% 6.44/1.48 | ~ (product @ b @ X0 @ multiplicative_identity))),
% 6.44/1.48 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl172])).
% 6.44/1.48 thf(a_is_defined, axiom, (defined @ a)).
% 6.44/1.48 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 6.44/1.48 inference('cnf', [status(esa)], [a_is_defined])).
% 6.44/1.48 thf(zip_derived_cl376, plain,
% 6.44/1.48 (![X0 : $i]:
% 6.44/1.48 ( (product @ additive_identity @ X0 @ a)
% 6.44/1.48 | ~ (product @ b @ X0 @ multiplicative_identity))),
% 6.44/1.48 inference('demod', [status(thm)], [zip_derived_cl368, zip_derived_cl26])).
% 6.44/1.48 thf(zip_derived_cl4370, plain,
% 6.44/1.48 (( (sum @ additive_identity @ b @ additive_identity)
% 6.44/1.48 | ~ (defined @ b)
% 6.44/1.48 | (product @ additive_identity @ (multiplicative_inverse @ b) @ a))),
% 6.44/1.48 inference('sup-', [status(thm)], [zip_derived_cl219, zip_derived_cl376])).
% 6.44/1.48 thf(not_sum_4, conjecture, (sum @ additive_identity @ b @ additive_identity)).
% 6.44/1.48 thf(zf_stmt_2, negated_conjecture,
% 6.44/1.48 (~( sum @ additive_identity @ b @ additive_identity )),
% 6.44/1.48 inference('cnf.neg', [status(esa)], [not_sum_4])).
% 6.44/1.48 thf(zip_derived_cl29, plain,
% 6.44/1.48 (~ (sum @ additive_identity @ b @ additive_identity)),
% 6.44/1.48 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.44/1.48 thf(b_is_defined, axiom, (defined @ b)).
% 6.44/1.48 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 6.44/1.48 inference('cnf', [status(esa)], [b_is_defined])).
% 6.44/1.48 thf(zip_derived_cl4411, plain,
% 6.44/1.48 ( (product @ additive_identity @ (multiplicative_inverse @ b) @ a)),
% 6.44/1.48 inference('demod', [status(thm)],
% 6.44/1.48 [zip_derived_cl4370, zip_derived_cl29, zip_derived_cl27])).
% 6.44/1.48 thf(distributivity_1, axiom,
% 6.44/1.48 (( sum @ C @ D @ B ) | ( ~( sum @ X @ Y @ A ) ) |
% 6.44/1.48 ( ~( product @ A @ Z @ B ) ) | ( ~( product @ X @ Z @ C ) ) |
% 6.44/1.48 ( ~( product @ Y @ Z @ D ) ))).
% 6.44/1.48 thf(zip_derived_cl10, plain,
% 6.44/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.44/1.48 ( (sum @ X0 @ X1 @ X2)
% 6.44/1.48 | ~ (sum @ X3 @ X4 @ X5)
% 6.44/1.48 | ~ (product @ X5 @ X6 @ X2)
% 6.44/1.48 | ~ (product @ X3 @ X6 @ X0)
% 6.44/1.48 | ~ (product @ X4 @ X6 @ X1))),
% 6.44/1.48 inference('cnf', [status(esa)], [distributivity_1])).
% 6.44/1.48 thf(zip_derived_cl278, plain,
% 6.44/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.44/1.48 (~ (product @ X4 @ X1 @ X3)
% 6.44/1.48 | ~ (product @ X2 @ X1 @ X0)
% 6.44/1.48 | ~ (sum @ X2 @ X4 @ X2)
% 6.44/1.48 | (sum @ X0 @ X3 @ X0))),
% 6.44/1.48 inference('eq_fact', [status(thm)], [zip_derived_cl10])).
% 6.44/1.48 thf(zip_derived_cl7112, plain,
% 6.44/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.44/1.48 ( (sum @ X0 @ X0 @ X0)
% 6.44/1.48 | ~ (sum @ X2 @ X2 @ X2)
% 6.44/1.48 | ~ (product @ X2 @ X1 @ X0))),
% 6.44/1.48 inference('eq_fact', [status(thm)], [zip_derived_cl278])).
% 6.44/1.48 thf(zip_derived_cl7281, plain,
% 6.44/1.48 ((~ (sum @ additive_identity @ additive_identity @ additive_identity)
% 6.44/1.48 | (sum @ a @ a @ a))),
% 6.44/1.48 inference('sup-', [status(thm)], [zip_derived_cl4411, zip_derived_cl7112])).
% 6.44/1.48 thf(existence_of_identity_addition, axiom,
% 6.44/1.48 (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 6.44/1.48 thf(zip_derived_cl2, plain,
% 6.44/1.48 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 6.44/1.48 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 6.44/1.48 thf(zip_derived_cl2, plain,
% 6.44/1.48 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 6.44/1.48 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 6.44/1.48 thf(associativity_addition_1, axiom,
% 6.44/1.48 (( sum @ X @ V @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 6.44/1.48 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ U @ Z @ W ) ))).
% 6.44/1.48 thf(zip_derived_cl0, plain,
% 6.44/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.44/1.48 ( (sum @ X0 @ X1 @ X2)
% 6.44/1.48 | ~ (sum @ X0 @ X3 @ X4)
% 6.44/1.48 | ~ (sum @ X3 @ X5 @ X1)
% 6.44/1.48 | ~ (sum @ X4 @ X5 @ X2))),
% 6.44/1.48 inference('cnf', [status(esa)], [associativity_addition_1])).
% 6.44/1.48 thf(zip_derived_cl33, plain,
% 6.44/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.44/1.48 (~ (sum @ X0 @ X1 @ X2)
% 6.44/1.48 | ~ (sum @ X1 @ X1 @ X0)
% 6.44/1.48 | (sum @ X1 @ X0 @ X2))),
% 6.44/1.48 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 6.44/1.48 thf(zip_derived_cl35, plain,
% 6.44/1.48 (![X0 : $i]:
% 6.44/1.48 (~ (defined @ X0)
% 6.44/1.48 | (sum @ X0 @ additive_identity @ X0)
% 6.44/1.48 | ~ (sum @ X0 @ X0 @ additive_identity))),
% 6.44/1.48 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl33])).
% 6.44/1.48 thf(zip_derived_cl38, plain,
% 6.44/1.48 ((~ (defined @ additive_identity)
% 6.44/1.48 | (sum @ additive_identity @ additive_identity @ additive_identity)
% 6.44/1.48 | ~ (defined @ additive_identity))),
% 6.44/1.48 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl35])).
% 6.44/1.48 thf(well_definedness_of_additive_identity, axiom,
% 6.44/1.48 (defined @ additive_identity)).
% 6.44/1.48 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 6.44/1.48 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 6.44/1.48 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 6.44/1.48 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 6.44/1.48 thf(zip_derived_cl40, plain,
% 6.44/1.48 ( (sum @ additive_identity @ additive_identity @ additive_identity)),
% 6.44/1.48 inference('demod', [status(thm)],
% 6.44/1.48 [zip_derived_cl38, zip_derived_cl13, zip_derived_cl13])).
% 6.44/1.48 thf(zip_derived_cl7401, plain, ( (sum @ a @ a @ a)),
% 6.44/1.48 inference('demod', [status(thm)], [zip_derived_cl7281, zip_derived_cl40])).
% 6.44/1.48 thf(existence_of_inverse_addition, axiom,
% 6.44/1.48 (( sum @ ( additive_inverse @ X ) @ X @ additive_identity ) |
% 6.44/1.48 ( ~( defined @ X ) ))).
% 6.44/1.48 thf(zip_derived_cl3, plain,
% 6.44/1.48 (![X0 : $i]:
% 6.44/1.48 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 6.44/1.48 | ~ (defined @ X0))),
% 6.44/1.48 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 6.44/1.48 thf(zip_derived_cl3, plain,
% 6.44/1.48 (![X0 : $i]:
% 6.44/1.48 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 6.44/1.48 | ~ (defined @ X0))),
% 6.44/1.48 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 6.44/1.48 thf(associativity_addition_2, axiom,
% 6.44/1.48 (( sum @ U @ Z @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 6.44/1.48 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ X @ V @ W ) ))).
% 6.44/1.48 thf(zip_derived_cl1, plain,
% 6.44/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.44/1.48 ( (sum @ X0 @ X1 @ X2)
% 6.44/1.48 | ~ (sum @ X3 @ X4 @ X0)
% 6.44/1.48 | ~ (sum @ X4 @ X1 @ X5)
% 6.44/1.48 | ~ (sum @ X3 @ X5 @ X2))),
% 6.44/1.48 inference('cnf', [status(esa)], [associativity_addition_2])).
% 6.44/1.48 thf(zip_derived_cl77, plain,
% 6.44/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.44/1.48 (~ (defined @ X0)
% 6.44/1.48 | ~ (sum @ (additive_inverse @ X0) @ X2 @ X1)
% 6.44/1.48 | ~ (sum @ X0 @ X3 @ X2)
% 6.44/1.48 | (sum @ additive_identity @ X3 @ X1))),
% 6.44/1.48 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 6.44/1.48 thf(zip_derived_cl1019, plain,
% 6.44/1.48 (![X0 : $i, X1 : $i]:
% 6.44/1.48 (~ (defined @ X0)
% 6.44/1.48 | (sum @ additive_identity @ X1 @ additive_identity)
% 6.44/1.48 | ~ (sum @ X0 @ X1 @ X0)
% 6.44/1.48 | ~ (defined @ X0))),
% 6.44/1.48 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl77])).
% 6.44/1.48 thf(zip_derived_cl1023, plain,
% 6.44/1.48 (![X0 : $i, X1 : $i]:
% 6.44/1.48 (~ (sum @ X0 @ X1 @ X0)
% 6.44/1.48 | (sum @ additive_identity @ X1 @ additive_identity)
% 6.44/1.48 | ~ (defined @ X0))),
% 6.44/1.48 inference('simplify', [status(thm)], [zip_derived_cl1019])).
% 6.44/1.48 thf(zip_derived_cl7454, plain,
% 6.44/1.48 ((~ (defined @ a) | (sum @ additive_identity @ a @ additive_identity))),
% 6.44/1.48 inference('sup-', [status(thm)], [zip_derived_cl7401, zip_derived_cl1023])).
% 6.44/1.48 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 6.44/1.48 inference('cnf', [status(esa)], [a_is_defined])).
% 6.44/1.48 thf(zip_derived_cl7458, plain,
% 6.44/1.48 ( (sum @ additive_identity @ a @ additive_identity)),
% 6.44/1.48 inference('demod', [status(thm)], [zip_derived_cl7454, zip_derived_cl26])).
% 6.44/1.48 thf(zip_derived_cl7519, plain, ($false),
% 6.44/1.48 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl7458])).
% 6.44/1.48
% 6.44/1.48 % SZS output end Refutation
% 6.44/1.48
% 6.44/1.48
% 6.44/1.48 % Terminating...
% 6.56/1.52 % Runner terminated.
% 6.56/1.53 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------