%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD010-5 : 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.n3Heuq0l5Z true
% Computer : n009.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 04:33:08 PM UTC 2025
% Result : Unsatisfiable 15.40s 2.84s
% Output : Refutation 15.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD010-5 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.n3Heuq0l5Z true
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 18:25:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.67 % Total configuration time : 435
% 0.55/0.67 % Estimated wc time : 1092
% 0.55/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 15.40/2.84 % Solved by fo/fo6_bce.sh.
% 15.40/2.84 % BCE start: 28
% 15.40/2.84 % BCE eliminated: 0
% 15.40/2.84 % PE start: 28
% 15.40/2.84 logic: neq
% 15.40/2.84 % PE eliminated: 0
% 15.40/2.84 % done 1851 iterations in 2.124s
% 15.40/2.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 15.40/2.84 % SZS output start Refutation
% 15.40/2.84 thf(sum_type, type, sum: $i > $i > $i > $o).
% 15.40/2.84 thf(product_type, type, product: $i > $i > $i > $o).
% 15.40/2.84 thf(additive_identity_type, type, additive_identity: $i).
% 15.40/2.84 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 15.40/2.84 thf(multiplicative_inverse_type, type, multiplicative_inverse: $i > $i).
% 15.40/2.84 thf(defined_type, type, defined: $i > $o).
% 15.40/2.84 thf(not_sum_2, conjecture,
% 15.40/2.84 (sum @
% 15.40/2.84 additive_identity @
% 15.40/2.84 ( multiplicative_inverse @ multiplicative_identity ) @
% 15.40/2.84 multiplicative_identity)).
% 15.40/2.84 thf(zf_stmt_0, negated_conjecture,
% 15.40/2.84 (~( sum @
% 15.40/2.84 additive_identity @
% 15.40/2.84 ( multiplicative_inverse @ multiplicative_identity ) @
% 15.40/2.84 multiplicative_identity )),
% 15.40/2.84 inference('cnf.neg', [status(esa)], [not_sum_2])).
% 15.40/2.84 thf(zip_derived_cl27, plain,
% 15.40/2.84 (~ (sum @ additive_identity @
% 15.40/2.84 (multiplicative_inverse @ multiplicative_identity) @
% 15.40/2.84 multiplicative_identity)),
% 15.40/2.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 15.40/2.84 thf(well_definedness_of_multiplicative_inverse, axiom,
% 15.40/2.84 (( defined @ ( multiplicative_inverse @ X ) ) | ( ~( defined @ X ) ) |
% 15.40/2.84 ( sum @ additive_identity @ X @ additive_identity ))).
% 15.40/2.84 thf(zip_derived_cl17, plain,
% 15.40/2.84 (![X0 : $i]:
% 15.40/2.84 ( (defined @ (multiplicative_inverse @ X0))
% 15.40/2.84 | ~ (defined @ X0)
% 15.40/2.84 | (sum @ additive_identity @ X0 @ additive_identity))),
% 15.40/2.84 inference('cnf', [status(esa)],
% 15.40/2.84 [well_definedness_of_multiplicative_inverse])).
% 15.40/2.84 thf(existence_of_identity_addition, axiom,
% 15.40/2.84 (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 15.40/2.84 thf(zip_derived_cl2, plain,
% 15.40/2.84 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 15.40/2.84 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 15.40/2.84 thf(commutativity_addition, axiom,
% 15.40/2.84 (( sum @ Y @ X @ Z ) | ( ~( sum @ X @ Y @ Z ) ))).
% 15.40/2.84 thf(zip_derived_cl4, plain,
% 15.40/2.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.40/2.84 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 15.40/2.84 inference('cnf', [status(esa)], [commutativity_addition])).
% 15.40/2.84 thf(zip_derived_cl45, plain,
% 15.40/2.84 (![X0 : $i]: (~ (defined @ X0) | (sum @ X0 @ additive_identity @ X0))),
% 15.40/2.84 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 15.40/2.84 thf(existence_of_identity_multiplication, axiom,
% 15.40/2.84 (( product @ multiplicative_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 15.40/2.84 thf(zip_derived_cl7, plain,
% 15.40/2.84 (![X0 : $i]:
% 15.40/2.84 ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 15.40/2.84 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 15.40/2.84 thf(commutativity_multiplication, axiom,
% 15.40/2.84 (( product @ Y @ X @ Z ) | ( ~( product @ X @ Y @ Z ) ))).
% 15.40/2.84 thf(zip_derived_cl9, plain,
% 15.40/2.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.40/2.84 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 15.40/2.84 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 15.40/2.84 thf(zip_derived_cl83, plain,
% 15.40/2.84 (![X0 : $i]:
% 15.40/2.84 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 15.40/2.84 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 15.40/2.84 thf(zip_derived_cl83, plain,
% 15.40/2.84 (![X0 : $i]:
% 15.40/2.84 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 15.40/2.84 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 15.40/2.84 thf(zip_derived_cl83, plain,
% 15.40/2.84 (![X0 : $i]:
% 15.40/2.84 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 15.40/2.84 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 15.40/2.84 thf(existence_of_inverse_multiplication, axiom,
% 15.40/2.84 (( product @ ( multiplicative_inverse @ X ) @ X @ multiplicative_identity ) |
% 15.40/2.84 ( sum @ additive_identity @ X @ additive_identity ) | ( ~( defined @ X ) ))).
% 15.40/2.84 thf(zip_derived_cl8, plain,
% 15.40/2.84 (![X0 : $i]:
% 15.40/2.84 ( (product @ (multiplicative_inverse @ X0) @ X0 @
% 15.40/2.84 multiplicative_identity)
% 15.40/2.84 | (sum @ additive_identity @ X0 @ additive_identity)
% 15.40/2.84 | ~ (defined @ X0))),
% 15.40/2.84 inference('cnf', [status(esa)], [existence_of_inverse_multiplication])).
% 15.40/2.84 thf(associativity_multiplication_1, axiom,
% 15.40/2.84 (( product @ X @ V @ W ) | ( ~( product @ X @ Y @ U ) ) |
% 15.40/2.84 ( ~( product @ Y @ Z @ V ) ) | ( ~( product @ U @ Z @ W ) ))).
% 15.40/2.84 thf(zip_derived_cl5, plain,
% 15.40/2.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 15.40/2.84 ( (product @ X0 @ X1 @ X2)
% 15.40/2.84 | ~ (product @ X0 @ X3 @ X4)
% 15.40/2.84 | ~ (product @ X3 @ X5 @ X1)
% 15.40/2.84 | ~ (product @ X4 @ X5 @ X2))),
% 15.40/2.84 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 15.40/2.84 thf(zip_derived_cl81, plain,
% 15.40/2.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.40/2.84 (~ (defined @ X0)
% 15.40/2.84 | (sum @ additive_identity @ X0 @ additive_identity)
% 15.40/2.84 | (product @ (multiplicative_inverse @ X0) @ X2 @ X1)
% 15.40/2.84 | ~ (product @ X0 @ X3 @ X2)
% 15.40/2.84 | ~ (product @ multiplicative_identity @ X3 @ X1))),
% 15.40/2.84 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 15.40/2.84 thf(zip_derived_cl548, plain,
% 15.40/2.84 (![X0 : $i, X1 : $i]:
% 15.40/2.84 (~ (product @ multiplicative_identity @ X1 @ X0)
% 15.40/2.84 | (product @ (multiplicative_inverse @ multiplicative_identity) @
% 15.40/2.84 X0 @ X0)
% 15.40/2.84 | (sum @ additive_identity @ multiplicative_identity @
% 15.40/2.84 additive_identity)
% 15.40/2.84 | ~ (defined @ multiplicative_identity))),
% 15.40/2.84 inference('eq_fact', [status(thm)], [zip_derived_cl81])).
% 15.40/2.84 thf(not_sum_1, conjecture,
% 15.40/2.84 (sum @ additive_identity @ multiplicative_identity @ additive_identity)).
% 15.40/2.84 thf(zf_stmt_1, negated_conjecture,
% 15.40/2.84 (~( sum @ additive_identity @ multiplicative_identity @ additive_identity )),
% 15.40/2.84 inference('cnf.neg', [status(esa)], [not_sum_1])).
% 15.40/2.84 thf(zip_derived_cl26, plain,
% 15.40/2.84 (~ (sum @ additive_identity @ multiplicative_identity @ additive_identity)),
% 15.40/2.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 15.40/2.84 thf(well_definedness_of_multiplicative_identity, axiom,
% 15.40/2.84 (defined @ multiplicative_identity)).
% 15.40/2.84 thf(zip_derived_cl16, plain, ( (defined @ multiplicative_identity)),
% 15.40/2.84 inference('cnf', [status(esa)],
% 15.40/2.84 [well_definedness_of_multiplicative_identity])).
% 15.40/2.84 thf(zip_derived_cl549, plain,
% 15.40/2.84 (![X0 : $i, X1 : $i]:
% 15.40/2.84 (~ (product @ multiplicative_identity @ X1 @ X0)
% 15.40/2.84 | (product @ (multiplicative_inverse @ multiplicative_identity) @
% 15.40/2.84 X0 @ X0))),
% 15.40/2.84 inference('demod', [status(thm)],
% 15.40/2.84 [zip_derived_cl548, zip_derived_cl26, zip_derived_cl16])).
% 15.40/2.84 thf(zip_derived_cl554, plain,
% 15.40/2.84 ((~ (defined @ multiplicative_identity)
% 15.40/2.84 | (product @ (multiplicative_inverse @ multiplicative_identity) @
% 15.40/2.84 multiplicative_identity @ multiplicative_identity))),
% 15.40/2.84 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl549])).
% 15.40/2.84 thf(zip_derived_cl16, plain, ( (defined @ multiplicative_identity)),
% 15.40/2.84 inference('cnf', [status(esa)],
% 15.40/2.84 [well_definedness_of_multiplicative_identity])).
% 15.40/2.84 thf(zip_derived_cl557, plain,
% 15.40/2.84 ( (product @ (multiplicative_inverse @ multiplicative_identity) @
% 15.40/2.84 multiplicative_identity @ multiplicative_identity)),
% 15.40/2.84 inference('demod', [status(thm)], [zip_derived_cl554, zip_derived_cl16])).
% 15.40/2.84 thf(distributivity_1, axiom,
% 15.40/2.84 (( sum @ C @ D @ B ) | ( ~( sum @ X @ Y @ A ) ) |
% 15.40/2.84 ( ~( product @ A @ Z @ B ) ) | ( ~( product @ X @ Z @ C ) ) |
% 15.40/2.84 ( ~( product @ Y @ Z @ D ) ))).
% 15.40/2.84 thf(zip_derived_cl10, plain,
% 15.40/2.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 15.40/2.84 ( (sum @ X0 @ X1 @ X2)
% 15.40/2.84 | ~ (sum @ X3 @ X4 @ X5)
% 15.40/2.84 | ~ (product @ X5 @ X6 @ X2)
% 15.40/2.84 | ~ (product @ X3 @ X6 @ X0)
% 15.40/2.84 | ~ (product @ X4 @ X6 @ X1))),
% 15.40/2.84 inference('cnf', [status(esa)], [distributivity_1])).
% 15.40/2.84 thf(zip_derived_cl585, plain,
% 15.40/2.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.40/2.84 ( (sum @ X1 @ X0 @ multiplicative_identity)
% 15.40/2.84 | ~ (sum @ X3 @ X2 @
% 15.40/2.84 (multiplicative_inverse @ multiplicative_identity))
% 15.40/2.84 | ~ (product @ X3 @ multiplicative_identity @ X1)
% 15.40/2.84 | ~ (product @ X2 @ multiplicative_identity @ X0))),
% 15.40/2.84 inference('s_sup-', [status(thm)], [zip_derived_cl557, zip_derived_cl10])).
% 15.40/2.84 thf(zip_derived_cl888, plain,
% 15.40/2.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.40/2.84 (~ (defined @ X0)
% 15.40/2.84 | (sum @ X0 @ X1 @ multiplicative_identity)
% 15.40/2.84 | ~ (sum @ X0 @ X2 @
% 15.40/2.84 (multiplicative_inverse @ multiplicative_identity))
% 15.40/2.84 | ~ (product @ X2 @ multiplicative_identity @ X1))),
% 15.40/2.84 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl585])).
% 15.40/2.84 thf(zip_derived_cl2072, plain,
% 15.40/2.84 (![X0 : $i, X1 : $i]:
% 15.40/2.84 (~ (defined @ X0)
% 15.40/2.84 | ~ (defined @ X1)
% 15.40/2.84 | (sum @ X1 @ X0 @ multiplicative_identity)
% 15.40/2.84 | ~ (sum @ X1 @ X0 @
% 15.40/2.84 (multiplicative_inverse @ multiplicative_identity)))),
% 15.40/2.84 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl888])).
% 15.40/2.84 thf(zip_derived_cl14645, plain,
% 15.40/2.84 ((~ (defined @ (multiplicative_inverse @ multiplicative_identity))
% 15.40/2.84 | ~ (defined @ additive_identity)
% 15.40/2.84 | ~ (defined @ (multiplicative_inverse @ multiplicative_identity))
% 15.40/2.84 | (sum @ (multiplicative_inverse @ multiplicative_identity) @
% 15.40/2.84 additive_identity @ multiplicative_identity))),
% 15.40/2.84 inference('s_sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl2072])).
% 15.40/2.84 thf(well_definedness_of_additive_identity, axiom,
% 15.40/2.84 (defined @ additive_identity)).
% 15.40/2.84 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 15.40/2.84 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 15.40/2.84 thf(zip_derived_cl14650, plain,
% 15.40/2.84 ((~ (defined @ (multiplicative_inverse @ multiplicative_identity))
% 15.40/2.84 | ~ (defined @ (multiplicative_inverse @ multiplicative_identity))
% 15.40/2.84 | (sum @ (multiplicative_inverse @ multiplicative_identity) @
% 15.40/2.84 additive_identity @ multiplicative_identity))),
% 15.40/2.84 inference('demod', [status(thm)], [zip_derived_cl14645, zip_derived_cl13])).
% 15.40/2.84 thf(zip_derived_cl14651, plain,
% 15.40/2.84 (( (sum @ (multiplicative_inverse @ multiplicative_identity) @
% 15.40/2.84 additive_identity @ multiplicative_identity)
% 15.40/2.84 | ~ (defined @ (multiplicative_inverse @ multiplicative_identity)))),
% 15.40/2.84 inference('simplify', [status(thm)], [zip_derived_cl14650])).
% 15.40/2.84 thf(zip_derived_cl14657, plain,
% 15.40/2.84 (( (sum @ additive_identity @ multiplicative_identity @ additive_identity)
% 15.40/2.84 | ~ (defined @ multiplicative_identity)
% 15.40/2.84 | (sum @ (multiplicative_inverse @ multiplicative_identity) @
% 15.40/2.84 additive_identity @ multiplicative_identity))),
% 15.40/2.84 inference('s_sup-', [status(thm)],
% 15.40/2.84 [zip_derived_cl17, zip_derived_cl14651])).
% 15.40/2.84 thf(zip_derived_cl26, plain,
% 15.40/2.84 (~ (sum @ additive_identity @ multiplicative_identity @ additive_identity)),
% 15.40/2.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 15.40/2.84 thf(zip_derived_cl16, plain, ( (defined @ multiplicative_identity)),
% 15.40/2.84 inference('cnf', [status(esa)],
% 15.40/2.84 [well_definedness_of_multiplicative_identity])).
% 15.40/2.84 thf(zip_derived_cl14658, plain,
% 15.40/2.84 ( (sum @ (multiplicative_inverse @ multiplicative_identity) @
% 15.40/2.84 additive_identity @ multiplicative_identity)),
% 15.40/2.84 inference('demod', [status(thm)],
% 15.40/2.84 [zip_derived_cl14657, zip_derived_cl26, zip_derived_cl16])).
% 15.40/2.84 thf(zip_derived_cl4, plain,
% 15.40/2.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.40/2.84 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 15.40/2.84 inference('cnf', [status(esa)], [commutativity_addition])).
% 15.40/2.84 thf(zip_derived_cl14662, plain,
% 15.40/2.84 ( (sum @ additive_identity @
% 15.40/2.84 (multiplicative_inverse @ multiplicative_identity) @
% 15.40/2.84 multiplicative_identity)),
% 15.40/2.84 inference('s_sup-', [status(thm)], [zip_derived_cl14658, zip_derived_cl4])).
% 15.40/2.84 thf(zip_derived_cl14672, plain, ($false),
% 15.40/2.84 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl14662])).
% 15.40/2.84
% 15.40/2.84 % SZS output end Refutation
% 15.40/2.84
% 15.40/2.84
% 15.40/2.84 % Terminating...
% 16.11/2.92 % Runner terminated.
% 16.11/2.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------