%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD015-3 : 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.7aLfgDLKEG true
% Computer : n005.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 04:33:10 PM UTC 2025
% Result : Unsatisfiable 2.45s 1.29s
% Output : Refutation 2.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.23 % Problem : FLD015-3 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.06/0.24 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7aLfgDLKEG true
% 0.11/0.44 % Computer : n005.cluster.edu
% 0.11/0.44 % Model : x86_64 x86_64
% 0.11/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.44 % Memory : 8042.1875MB
% 0.11/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.44 % CPULimit : 300
% 0.11/0.44 % WCLimit : 300
% 0.11/0.44 % DateTime : Wed Oct 1 18:26:38 EDT 2025
% 0.11/0.44 % CPUTime :
% 0.11/0.44 % Running portfolio for 300 s
% 0.11/0.44 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.44 % Number of cores: 8
% 0.11/0.44 % Python version: Python 3.6.8
% 0.11/0.44 % Running in FO mode
% 0.46/0.76 % Total configuration time : 435
% 0.46/0.76 % Estimated wc time : 1092
% 0.46/0.76 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.94 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.98 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/1.03 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/1.04 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.45/1.29 % Solved by fo/fo7.sh.
% 2.45/1.29 % done 147 iterations in 0.229s
% 2.45/1.29 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.45/1.29 % SZS output start Refutation
% 2.45/1.29 thf(sum_type, type, sum: $i > $i > $i > $o).
% 2.45/1.29 thf(b_type, type, b: $i).
% 2.45/1.29 thf(a_type, type, a: $i).
% 2.45/1.29 thf(additive_identity_type, type, additive_identity: $i).
% 2.45/1.29 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 2.45/1.29 thf(defined_type, type, defined: $i > $o).
% 2.45/1.29 thf(not_sum_4, conjecture, (sum @ additive_identity @ a @ b)).
% 2.45/1.29 thf(zf_stmt_0, negated_conjecture, (~( sum @ additive_identity @ a @ b )),
% 2.45/1.29 inference('cnf.neg', [status(esa)], [not_sum_4])).
% 2.45/1.29 thf(zip_derived_cl29, plain, (~ (sum @ additive_identity @ a @ b)),
% 2.45/1.29 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.45/1.29 thf(sum_3, conjecture,
% 2.45/1.29 (~( sum @
% 2.45/1.29 additive_identity @ ( additive_inverse @ a ) @ ( additive_inverse @ b ) ))).
% 2.45/1.29 thf(zf_stmt_1, negated_conjecture,
% 2.45/1.29 (sum @
% 2.45/1.29 additive_identity @ ( additive_inverse @ a ) @ ( additive_inverse @ b )),
% 2.45/1.29 inference('cnf.neg', [status(esa)], [sum_3])).
% 2.45/1.29 thf(zip_derived_cl28, plain,
% 2.45/1.29 ( (sum @ additive_identity @ (additive_inverse @ a) @
% 2.45/1.29 (additive_inverse @ b))),
% 2.45/1.29 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.45/1.29 thf(commutativity_addition, axiom,
% 2.45/1.29 (( sum @ Y @ X @ Z ) | ( ~( sum @ X @ Y @ Z ) ))).
% 2.45/1.29 thf(zip_derived_cl4, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.45/1.29 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 2.45/1.29 inference('cnf', [status(esa)], [commutativity_addition])).
% 2.45/1.29 thf(zip_derived_cl41, plain,
% 2.45/1.29 ( (sum @ (additive_inverse @ a) @ additive_identity @
% 2.45/1.29 (additive_inverse @ b))),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl4])).
% 2.45/1.29 thf(existence_of_identity_addition, axiom,
% 2.45/1.29 (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 2.45/1.29 thf(zip_derived_cl2, plain,
% 2.45/1.29 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 2.45/1.29 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 2.45/1.29 thf(zip_derived_cl4, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.45/1.29 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 2.45/1.29 inference('cnf', [status(esa)], [commutativity_addition])).
% 2.45/1.29 thf(zip_derived_cl38, plain,
% 2.45/1.29 (![X0 : $i]: (~ (defined @ X0) | (sum @ X0 @ additive_identity @ X0))),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 2.45/1.29 thf(zip_derived_cl2, plain,
% 2.45/1.29 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 2.45/1.29 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 2.45/1.29 thf(associativity_addition_1, axiom,
% 2.45/1.29 (( sum @ X @ V @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 2.45/1.29 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ U @ Z @ W ) ))).
% 2.45/1.29 thf(zip_derived_cl0, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.45/1.29 ( (sum @ X0 @ X1 @ X2)
% 2.45/1.29 | ~ (sum @ X0 @ X3 @ X4)
% 2.45/1.29 | ~ (sum @ X3 @ X5 @ X1)
% 2.45/1.29 | ~ (sum @ X4 @ X5 @ X2))),
% 2.45/1.29 inference('cnf', [status(esa)], [associativity_addition_1])).
% 2.45/1.29 thf(zip_derived_cl146, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.45/1.29 (~ (sum @ X0 @ X1 @ X0)
% 2.45/1.29 | ~ (sum @ X1 @ X1 @ X2)
% 2.45/1.29 | (sum @ X0 @ X2 @ X0))),
% 2.45/1.29 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 2.45/1.29 thf(zip_derived_cl152, plain,
% 2.45/1.29 (![X0 : $i]:
% 2.45/1.29 (~ (defined @ additive_identity)
% 2.45/1.29 | (sum @ additive_identity @ X0 @ additive_identity)
% 2.45/1.29 | ~ (sum @ additive_identity @ additive_identity @ X0))),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl146])).
% 2.45/1.29 thf(well_definedness_of_additive_identity, axiom,
% 2.45/1.29 (defined @ additive_identity)).
% 2.45/1.29 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 2.45/1.29 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 2.45/1.29 thf(zip_derived_cl160, plain,
% 2.45/1.29 (![X0 : $i]:
% 2.45/1.29 ( (sum @ additive_identity @ X0 @ additive_identity)
% 2.45/1.29 | ~ (sum @ additive_identity @ additive_identity @ X0))),
% 2.45/1.29 inference('demod', [status(thm)], [zip_derived_cl152, zip_derived_cl13])).
% 2.45/1.29 thf(zip_derived_cl162, plain,
% 2.45/1.29 ((~ (defined @ additive_identity)
% 2.45/1.29 | (sum @ additive_identity @ additive_identity @ additive_identity))),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl160])).
% 2.45/1.29 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 2.45/1.29 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 2.45/1.29 thf(zip_derived_cl170, plain,
% 2.45/1.29 ( (sum @ additive_identity @ additive_identity @ additive_identity)),
% 2.45/1.29 inference('demod', [status(thm)], [zip_derived_cl162, zip_derived_cl13])).
% 2.45/1.29 thf(existence_of_inverse_addition, axiom,
% 2.45/1.29 (( sum @ ( additive_inverse @ X ) @ X @ additive_identity ) |
% 2.45/1.29 ( ~( defined @ X ) ))).
% 2.45/1.29 thf(zip_derived_cl3, plain,
% 2.45/1.29 (![X0 : $i]:
% 2.45/1.29 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 2.45/1.29 | ~ (defined @ X0))),
% 2.45/1.29 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 2.45/1.29 thf(zip_derived_cl4, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.45/1.29 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 2.45/1.29 inference('cnf', [status(esa)], [commutativity_addition])).
% 2.45/1.29 thf(zip_derived_cl48, plain,
% 2.45/1.29 (![X0 : $i]:
% 2.45/1.29 (~ (defined @ X0)
% 2.45/1.29 | (sum @ X0 @ (additive_inverse @ X0) @ additive_identity))),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 2.45/1.29 thf(zip_derived_cl0, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.45/1.29 ( (sum @ X0 @ X1 @ X2)
% 2.45/1.29 | ~ (sum @ X0 @ X3 @ X4)
% 2.45/1.29 | ~ (sum @ X3 @ X5 @ X1)
% 2.45/1.29 | ~ (sum @ X4 @ X5 @ X2))),
% 2.45/1.29 inference('cnf', [status(esa)], [associativity_addition_1])).
% 2.45/1.29 thf(zip_derived_cl137, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.45/1.29 (~ (defined @ X0)
% 2.45/1.29 | ~ (sum @ additive_identity @ X2 @ X1)
% 2.45/1.29 | ~ (sum @ (additive_inverse @ X0) @ X2 @ X3)
% 2.45/1.29 | (sum @ X0 @ X3 @ X1))),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl0])).
% 2.45/1.29 thf(zip_derived_cl394, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i]:
% 2.45/1.29 ( (sum @ X1 @ X0 @ additive_identity)
% 2.45/1.29 | ~ (sum @ (additive_inverse @ X1) @ additive_identity @ X0)
% 2.45/1.29 | ~ (defined @ X1))),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl137])).
% 2.45/1.29 thf(zip_derived_cl410, plain,
% 2.45/1.29 ((~ (defined @ a)
% 2.45/1.29 | (sum @ a @ (additive_inverse @ b) @ additive_identity))),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl394])).
% 2.45/1.29 thf(a_is_defined, axiom, (defined @ a)).
% 2.45/1.29 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 2.45/1.29 inference('cnf', [status(esa)], [a_is_defined])).
% 2.45/1.29 thf(zip_derived_cl414, plain,
% 2.45/1.29 ( (sum @ a @ (additive_inverse @ b) @ additive_identity)),
% 2.45/1.29 inference('demod', [status(thm)], [zip_derived_cl410, zip_derived_cl26])).
% 2.45/1.29 thf(zip_derived_cl4, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.45/1.29 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 2.45/1.29 inference('cnf', [status(esa)], [commutativity_addition])).
% 2.45/1.29 thf(zip_derived_cl435, plain,
% 2.45/1.29 ( (sum @ (additive_inverse @ b) @ a @ additive_identity)),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl414, zip_derived_cl4])).
% 2.45/1.29 thf(zip_derived_cl2, plain,
% 2.45/1.29 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 2.45/1.29 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 2.45/1.29 thf(zip_derived_cl137, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.45/1.29 (~ (defined @ X0)
% 2.45/1.29 | ~ (sum @ additive_identity @ X2 @ X1)
% 2.45/1.29 | ~ (sum @ (additive_inverse @ X0) @ X2 @ X3)
% 2.45/1.29 | (sum @ X0 @ X3 @ X1))),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl0])).
% 2.45/1.29 thf(zip_derived_cl391, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.45/1.29 (~ (defined @ X0)
% 2.45/1.29 | (sum @ X2 @ X1 @ X0)
% 2.45/1.29 | ~ (sum @ (additive_inverse @ X2) @ X0 @ X1)
% 2.45/1.29 | ~ (defined @ X2))),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl137])).
% 2.45/1.29 thf(zip_derived_cl444, plain,
% 2.45/1.29 ((~ (defined @ b) | (sum @ b @ additive_identity @ a) | ~ (defined @ a))),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl435, zip_derived_cl391])).
% 2.45/1.29 thf(b_is_defined, axiom, (defined @ b)).
% 2.45/1.29 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 2.45/1.29 inference('cnf', [status(esa)], [b_is_defined])).
% 2.45/1.29 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 2.45/1.29 inference('cnf', [status(esa)], [a_is_defined])).
% 2.45/1.29 thf(zip_derived_cl445, plain, ( (sum @ b @ additive_identity @ a)),
% 2.45/1.29 inference('demod', [status(thm)],
% 2.45/1.29 [zip_derived_cl444, zip_derived_cl27, zip_derived_cl26])).
% 2.45/1.29 thf(zip_derived_cl4, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.45/1.29 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 2.45/1.29 inference('cnf', [status(esa)], [commutativity_addition])).
% 2.45/1.29 thf(zip_derived_cl447, plain, ( (sum @ additive_identity @ b @ a)),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl445, zip_derived_cl4])).
% 2.45/1.29 thf(zip_derived_cl2, plain,
% 2.45/1.29 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 2.45/1.29 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 2.45/1.29 thf(zip_derived_cl170, plain,
% 2.45/1.29 ( (sum @ additive_identity @ additive_identity @ additive_identity)),
% 2.45/1.29 inference('demod', [status(thm)], [zip_derived_cl162, zip_derived_cl13])).
% 2.45/1.29 thf(zip_derived_cl0, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.45/1.29 ( (sum @ X0 @ X1 @ X2)
% 2.45/1.29 | ~ (sum @ X0 @ X3 @ X4)
% 2.45/1.29 | ~ (sum @ X3 @ X5 @ X1)
% 2.45/1.29 | ~ (sum @ X4 @ X5 @ X2))),
% 2.45/1.29 inference('cnf', [status(esa)], [associativity_addition_1])).
% 2.45/1.29 thf(zip_derived_cl176, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.45/1.29 (~ (sum @ additive_identity @ X1 @ X0)
% 2.45/1.29 | ~ (sum @ additive_identity @ X1 @ X2)
% 2.45/1.29 | (sum @ additive_identity @ X2 @ X0))),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl0])).
% 2.45/1.29 thf(zip_derived_cl262, plain,
% 2.45/1.29 (![X0 : $i, X1 : $i]:
% 2.45/1.29 (~ (defined @ X0)
% 2.45/1.29 | (sum @ additive_identity @ X1 @ X0)
% 2.45/1.29 | ~ (sum @ additive_identity @ X0 @ X1))),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl176])).
% 2.45/1.29 thf(zip_derived_cl457, plain,
% 2.45/1.29 (( (sum @ additive_identity @ a @ b) | ~ (defined @ b))),
% 2.45/1.29 inference('sup-', [status(thm)], [zip_derived_cl447, zip_derived_cl262])).
% 2.45/1.29 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 2.45/1.29 inference('cnf', [status(esa)], [b_is_defined])).
% 2.45/1.29 thf(zip_derived_cl462, plain, ( (sum @ additive_identity @ a @ b)),
% 2.45/1.29 inference('demod', [status(thm)], [zip_derived_cl457, zip_derived_cl27])).
% 2.45/1.29 thf(zip_derived_cl473, plain, ($false),
% 2.45/1.29 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl462])).
% 2.45/1.29
% 2.45/1.29 % SZS output end Refutation
% 2.45/1.29
% 2.45/1.29
% 2.45/1.29 % Terminating...
% 2.96/1.47 % Runner terminated.
% 2.96/1.51 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------