%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD024-3 : 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.EW61DCa1uG true
% Computer : n026.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 0.51s 0.81s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : FLD024-3 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EW61DCa1uG true
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 18:24:53 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % 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
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 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
% 0.51/0.81 % Solved by fo/fo5.sh.
% 0.51/0.81 % done 73 iterations in 0.045s
% 0.51/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.81 % SZS output start Refutation
% 0.51/0.81 thf(sum_type, type, sum: $i > $i > $i > $o).
% 0.51/0.81 thf(b_type, type, b: $i).
% 0.51/0.81 thf(a_type, type, a: $i).
% 0.51/0.81 thf(additive_identity_type, type, additive_identity: $i).
% 0.51/0.81 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 0.51/0.81 thf(defined_type, type, defined: $i > $o).
% 0.51/0.81 thf(not_sum_4, conjecture, (sum @ additive_identity @ a @ b)).
% 0.51/0.81 thf(zf_stmt_0, negated_conjecture, (~( sum @ additive_identity @ a @ b )),
% 0.51/0.81 inference('cnf.neg', [status(esa)], [not_sum_4])).
% 0.51/0.81 thf(zip_derived_cl29, plain, (~ (sum @ additive_identity @ a @ b)),
% 0.51/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.81 thf(existence_of_identity_addition, axiom,
% 0.51/0.81 (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 0.51/0.81 thf(zip_derived_cl2, plain,
% 0.51/0.81 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 0.51/0.81 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 0.51/0.81 thf(existence_of_inverse_addition, axiom,
% 0.51/0.81 (( sum @ ( additive_inverse @ X ) @ X @ additive_identity ) |
% 0.51/0.81 ( ~( defined @ X ) ))).
% 0.51/0.81 thf(zip_derived_cl3, plain,
% 0.51/0.81 (![X0 : $i]:
% 0.51/0.81 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 0.51/0.81 | ~ (defined @ X0))),
% 0.51/0.81 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 0.51/0.81 thf(sum_3, conjecture,
% 0.51/0.81 (~( sum @ b @ ( additive_inverse @ a ) @ additive_identity ))).
% 0.51/0.81 thf(zf_stmt_1, negated_conjecture,
% 0.51/0.81 (sum @ b @ ( additive_inverse @ a ) @ additive_identity),
% 0.51/0.81 inference('cnf.neg', [status(esa)], [sum_3])).
% 0.51/0.81 thf(zip_derived_cl28, plain,
% 0.51/0.81 ( (sum @ b @ (additive_inverse @ a) @ additive_identity)),
% 0.51/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.51/0.81 thf(associativity_addition_1, axiom,
% 0.51/0.81 (( sum @ X @ V @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 0.51/0.81 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ U @ Z @ W ) ))).
% 0.51/0.81 thf(zip_derived_cl0, plain,
% 0.51/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.51/0.81 ( (sum @ X0 @ X1 @ X2)
% 0.51/0.81 | ~ (sum @ X0 @ X3 @ X4)
% 0.51/0.81 | ~ (sum @ X3 @ X5 @ X1)
% 0.51/0.81 | ~ (sum @ X4 @ X5 @ X2))),
% 0.51/0.81 inference('cnf', [status(esa)], [associativity_addition_1])).
% 0.51/0.81 thf(zip_derived_cl31, plain,
% 0.51/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.81 (~ (sum @ additive_identity @ X1 @ X0)
% 0.51/0.81 | ~ (sum @ (additive_inverse @ a) @ X1 @ X2)
% 0.51/0.81 | (sum @ b @ X2 @ X0))),
% 0.51/0.81 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl0])).
% 0.51/0.81 thf(zip_derived_cl100, plain,
% 0.51/0.81 (![X0 : $i]:
% 0.51/0.81 (~ (defined @ a)
% 0.51/0.81 | (sum @ b @ additive_identity @ X0)
% 0.51/0.81 | ~ (sum @ additive_identity @ a @ X0))),
% 0.51/0.81 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl31])).
% 0.51/0.81 thf(a_is_defined, axiom, (defined @ a)).
% 0.51/0.81 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 0.51/0.81 inference('cnf', [status(esa)], [a_is_defined])).
% 0.51/0.81 thf(zip_derived_cl102, plain,
% 0.51/0.81 (![X0 : $i]:
% 0.51/0.81 ( (sum @ b @ additive_identity @ X0)
% 0.51/0.81 | ~ (sum @ additive_identity @ a @ X0))),
% 0.51/0.81 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl26])).
% 0.51/0.81 thf(zip_derived_cl109, plain,
% 0.51/0.81 ((~ (defined @ a) | (sum @ b @ additive_identity @ a))),
% 0.51/0.81 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl102])).
% 0.51/0.81 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 0.51/0.81 inference('cnf', [status(esa)], [a_is_defined])).
% 0.51/0.81 thf(zip_derived_cl111, plain, ( (sum @ b @ additive_identity @ a)),
% 0.51/0.81 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl26])).
% 0.51/0.81 thf(commutativity_addition, axiom,
% 0.51/0.81 (( sum @ Y @ X @ Z ) | ( ~( sum @ X @ Y @ Z ) ))).
% 0.51/0.81 thf(zip_derived_cl4, plain,
% 0.51/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.81 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 0.51/0.81 inference('cnf', [status(esa)], [commutativity_addition])).
% 0.51/0.81 thf(zip_derived_cl135, plain, ( (sum @ additive_identity @ b @ a)),
% 0.51/0.81 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl4])).
% 0.51/0.81 thf(zip_derived_cl2, plain,
% 0.51/0.81 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 0.51/0.81 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 0.51/0.81 thf(zip_derived_cl2, plain,
% 0.51/0.81 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 0.51/0.81 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 0.51/0.81 thf(zip_derived_cl2, plain,
% 0.51/0.81 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 0.51/0.81 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 0.51/0.81 thf(zip_derived_cl0, plain,
% 0.51/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.51/0.81 ( (sum @ X0 @ X1 @ X2)
% 0.51/0.81 | ~ (sum @ X0 @ X3 @ X4)
% 0.51/0.81 | ~ (sum @ X3 @ X5 @ X1)
% 0.51/0.81 | ~ (sum @ X4 @ X5 @ X2))),
% 0.51/0.81 inference('cnf', [status(esa)], [associativity_addition_1])).
% 0.51/0.81 thf(zip_derived_cl33, plain,
% 0.51/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.81 (~ (sum @ X0 @ X1 @ X2)
% 0.51/0.81 | ~ (sum @ X1 @ X1 @ X0)
% 0.51/0.81 | (sum @ X1 @ X0 @ X2))),
% 0.51/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 0.51/0.81 thf(zip_derived_cl36, plain,
% 0.51/0.81 (![X0 : $i]:
% 0.51/0.81 (~ (defined @ X0)
% 0.51/0.81 | (sum @ X0 @ additive_identity @ X0)
% 0.51/0.81 | ~ (sum @ X0 @ X0 @ additive_identity))),
% 0.51/0.81 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl33])).
% 0.51/0.81 thf(zip_derived_cl41, plain,
% 0.51/0.81 ((~ (defined @ additive_identity)
% 0.51/0.81 | (sum @ additive_identity @ additive_identity @ additive_identity)
% 0.51/0.81 | ~ (defined @ additive_identity))),
% 0.51/0.81 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl36])).
% 0.51/0.81 thf(well_definedness_of_additive_identity, axiom,
% 0.51/0.81 (defined @ additive_identity)).
% 0.51/0.81 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 0.51/0.81 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 0.51/0.81 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 0.51/0.81 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 0.51/0.81 thf(zip_derived_cl43, plain,
% 0.51/0.81 ( (sum @ additive_identity @ additive_identity @ additive_identity)),
% 0.51/0.81 inference('demod', [status(thm)],
% 0.51/0.81 [zip_derived_cl41, zip_derived_cl13, zip_derived_cl13])).
% 0.51/0.81 thf(zip_derived_cl0, plain,
% 0.51/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.51/0.81 ( (sum @ X0 @ X1 @ X2)
% 0.51/0.81 | ~ (sum @ X0 @ X3 @ X4)
% 0.51/0.81 | ~ (sum @ X3 @ X5 @ X1)
% 0.51/0.81 | ~ (sum @ X4 @ X5 @ X2))),
% 0.51/0.81 inference('cnf', [status(esa)], [associativity_addition_1])).
% 0.51/0.81 thf(zip_derived_cl45, plain,
% 0.51/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.81 (~ (sum @ additive_identity @ X1 @ X0)
% 0.51/0.81 | ~ (sum @ additive_identity @ X1 @ X2)
% 0.51/0.81 | (sum @ additive_identity @ X2 @ X0))),
% 0.51/0.81 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl0])).
% 0.51/0.81 thf(zip_derived_cl49, plain,
% 0.51/0.81 (![X0 : $i, X1 : $i]:
% 0.51/0.81 (~ (defined @ X0)
% 0.51/0.81 | (sum @ additive_identity @ X1 @ X0)
% 0.51/0.81 | ~ (sum @ additive_identity @ X0 @ X1))),
% 0.51/0.81 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl45])).
% 0.51/0.81 thf(zip_derived_cl165, plain,
% 0.51/0.81 (( (sum @ additive_identity @ a @ b) | ~ (defined @ b))),
% 0.51/0.81 inference('sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl49])).
% 0.51/0.81 thf(b_is_defined, axiom, (defined @ b)).
% 0.51/0.81 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 0.51/0.81 inference('cnf', [status(esa)], [b_is_defined])).
% 0.51/0.81 thf(zip_derived_cl173, plain, ( (sum @ additive_identity @ a @ b)),
% 0.51/0.81 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl27])).
% 0.51/0.81 thf(zip_derived_cl174, plain, ($false),
% 0.51/0.81 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl173])).
% 0.51/0.81
% 0.51/0.81 % SZS output end Refutation
% 0.51/0.81
% 0.51/0.81
% 0.51/0.81 % Terminating...
% 0.53/0.85 % Runner terminated.
% 1.59/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------