%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD009-3 : 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.hb7EpaliMl true
% Computer : n017.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 30.00s 4.86s
% Output : Refutation 30.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD009-3 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hb7EpaliMl true
% 0.12/0.33 % Computer : n017.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 18:31:23 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
% 0.12/0.34 % 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
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 30.00/4.86 % Solved by fo/fo4.sh.
% 30.00/4.86 % done 3700 iterations in 4.098s
% 30.00/4.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 30.00/4.86 % SZS output start Refutation
% 30.00/4.86 thf(sum_type, type, sum: $i > $i > $i > $o).
% 30.00/4.86 thf(b_type, type, b: $i).
% 30.00/4.86 thf(a_type, type, a: $i).
% 30.00/4.86 thf(product_type, type, product: $i > $i > $i > $o).
% 30.00/4.86 thf(additive_identity_type, type, additive_identity: $i).
% 30.00/4.86 thf(multiply_type, type, multiply: $i > $i > $i).
% 30.00/4.86 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 30.00/4.86 thf(multiplicative_inverse_type, type, multiplicative_inverse: $i > $i).
% 30.00/4.86 thf(defined_type, type, defined: $i > $o).
% 30.00/4.86 thf(existence_of_identity_multiplication, axiom,
% 30.00/4.86 (( product @ multiplicative_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 30.00/4.86 thf(zip_derived_cl7, plain,
% 30.00/4.86 (![X0 : $i]:
% 30.00/4.86 ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 30.00/4.86 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 30.00/4.86 thf(totality_of_multiplication, axiom,
% 30.00/4.86 (( product @ X @ Y @ ( multiply @ X @ Y ) ) | ( ~( defined @ X ) ) |
% 30.00/4.86 ( ~( defined @ Y ) ))).
% 30.00/4.86 thf(zip_derived_cl19, plain,
% 30.00/4.86 (![X0 : $i, X1 : $i]:
% 30.00/4.86 ( (product @ X0 @ X1 @ (multiply @ X0 @ X1))
% 30.00/4.86 | ~ (defined @ X0)
% 30.00/4.86 | ~ (defined @ X1))),
% 30.00/4.86 inference('cnf', [status(esa)], [totality_of_multiplication])).
% 30.00/4.86 thf(commutativity_multiplication, axiom,
% 30.00/4.86 (( product @ Y @ X @ Z ) | ( ~( product @ X @ Y @ Z ) ))).
% 30.00/4.86 thf(zip_derived_cl9, plain,
% 30.00/4.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.00/4.86 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 30.00/4.86 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 30.00/4.86 thf(a_is_defined, axiom, (defined @ a)).
% 30.00/4.86 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 30.00/4.86 inference('cnf', [status(esa)], [a_is_defined])).
% 30.00/4.86 thf(existence_of_inverse_multiplication, axiom,
% 30.00/4.86 (( product @ ( multiplicative_inverse @ X ) @ X @ multiplicative_identity ) |
% 30.00/4.86 ( sum @ additive_identity @ X @ additive_identity ) | ( ~( defined @ X ) ))).
% 30.00/4.86 thf(zip_derived_cl8, plain,
% 30.00/4.86 (![X0 : $i]:
% 30.00/4.86 ( (product @ (multiplicative_inverse @ X0) @ X0 @
% 30.00/4.86 multiplicative_identity)
% 30.00/4.86 | (sum @ additive_identity @ X0 @ additive_identity)
% 30.00/4.86 | ~ (defined @ X0))),
% 30.00/4.86 inference('cnf', [status(esa)], [existence_of_inverse_multiplication])).
% 30.00/4.86 thf(zip_derived_cl197, plain,
% 30.00/4.86 (( (sum @ additive_identity @ a @ additive_identity)
% 30.00/4.86 | (product @ (multiplicative_inverse @ a) @ a @
% 30.00/4.86 multiplicative_identity))),
% 30.00/4.86 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl8])).
% 30.00/4.86 thf(not_sum_3, conjecture, (sum @ additive_identity @ a @ additive_identity)).
% 30.00/4.86 thf(zf_stmt_0, negated_conjecture,
% 30.00/4.86 (~( sum @ additive_identity @ a @ additive_identity )),
% 30.00/4.86 inference('cnf.neg', [status(esa)], [not_sum_3])).
% 30.00/4.86 thf(zip_derived_cl28, plain,
% 30.00/4.86 (~ (sum @ additive_identity @ a @ additive_identity)),
% 30.00/4.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.00/4.86 thf(zip_derived_cl200, plain,
% 30.00/4.86 ( (product @ (multiplicative_inverse @ a) @ a @ multiplicative_identity)),
% 30.00/4.86 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl28])).
% 30.00/4.86 thf(zip_derived_cl9, plain,
% 30.00/4.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.00/4.86 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 30.00/4.86 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 30.00/4.86 thf(zip_derived_cl203, plain,
% 30.00/4.86 ( (product @ a @ (multiplicative_inverse @ a) @ multiplicative_identity)),
% 30.00/4.86 inference('sup-', [status(thm)], [zip_derived_cl200, zip_derived_cl9])).
% 30.00/4.86 thf(associativity_multiplication_1, axiom,
% 30.00/4.86 (( product @ X @ V @ W ) | ( ~( product @ X @ Y @ U ) ) |
% 30.00/4.86 ( ~( product @ Y @ Z @ V ) ) | ( ~( product @ U @ Z @ W ) ))).
% 30.00/4.86 thf(zip_derived_cl5, plain,
% 30.00/4.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 30.00/4.86 ( (product @ X0 @ X1 @ X2)
% 30.00/4.86 | ~ (product @ X0 @ X3 @ X4)
% 30.00/4.86 | ~ (product @ X3 @ X5 @ X1)
% 30.00/4.86 | ~ (product @ X4 @ X5 @ X2))),
% 30.00/4.86 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 30.00/4.86 thf(zip_derived_cl206, plain,
% 30.00/4.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.00/4.86 (~ (product @ multiplicative_identity @ X1 @ X0)
% 30.00/4.86 | ~ (product @ (multiplicative_inverse @ a) @ X1 @ X2)
% 30.00/4.86 | (product @ a @ X2 @ X0))),
% 30.00/4.86 inference('sup-', [status(thm)], [zip_derived_cl203, zip_derived_cl5])).
% 30.00/4.86 thf(zip_derived_cl226, plain,
% 30.00/4.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.00/4.86 (~ (product @ X1 @ (multiplicative_inverse @ a) @ X0)
% 30.00/4.86 | (product @ a @ X0 @ X2)
% 30.00/4.86 | ~ (product @ multiplicative_identity @ X1 @ X2))),
% 30.00/4.86 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl206])).
% 30.00/4.86 thf(zip_derived_cl459, plain,
% 30.00/4.86 (![X0 : $i, X1 : $i]:
% 30.00/4.86 (~ (defined @ (multiplicative_inverse @ a))
% 30.00/4.86 | ~ (defined @ X0)
% 30.00/4.86 | ~ (product @ multiplicative_identity @ X0 @ X1)
% 30.00/4.86 | (product @ a @ (multiply @ X0 @ (multiplicative_inverse @ a)) @ X1))),
% 30.00/4.86 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl226])).
% 30.00/4.86 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 30.00/4.86 inference('cnf', [status(esa)], [a_is_defined])).
% 30.00/4.86 thf(well_definedness_of_multiplicative_inverse, axiom,
% 30.00/4.86 (( defined @ ( multiplicative_inverse @ X ) ) | ( ~( defined @ X ) ) |
% 30.00/4.86 ( sum @ additive_identity @ X @ additive_identity ))).
% 30.00/4.86 thf(zip_derived_cl17, plain,
% 30.00/4.86 (![X0 : $i]:
% 30.00/4.86 ( (defined @ (multiplicative_inverse @ X0))
% 30.00/4.86 | ~ (defined @ X0)
% 30.00/4.86 | (sum @ additive_identity @ X0 @ additive_identity))),
% 30.00/4.86 inference('cnf', [status(esa)],
% 30.00/4.86 [well_definedness_of_multiplicative_inverse])).
% 30.00/4.86 thf(zip_derived_cl38, plain,
% 30.00/4.86 (( (sum @ additive_identity @ a @ additive_identity)
% 30.00/4.86 | (defined @ (multiplicative_inverse @ a)))),
% 30.00/4.86 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 30.00/4.86 thf(zip_derived_cl28, plain,
% 30.00/4.86 (~ (sum @ additive_identity @ a @ additive_identity)),
% 30.00/4.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.00/4.86 thf(zip_derived_cl40, plain, ( (defined @ (multiplicative_inverse @ a))),
% 30.00/4.86 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl28])).
% 30.00/4.86 thf(zip_derived_cl475, plain,
% 30.00/4.86 (![X0 : $i, X1 : $i]:
% 30.00/4.86 (~ (defined @ X0)
% 30.00/4.86 | ~ (product @ multiplicative_identity @ X0 @ X1)
% 30.00/4.86 | (product @ a @ (multiply @ X0 @ (multiplicative_inverse @ a)) @ X1))),
% 30.00/4.86 inference('demod', [status(thm)], [zip_derived_cl459, zip_derived_cl40])).
% 30.00/4.86 thf(not_product_4, conjecture, (product @ a @ X @ b)).
% 30.00/4.86 thf(zf_stmt_1, negated_conjecture, (~( product @ a @ X @ b )),
% 30.00/4.86 inference('cnf.neg', [status(esa)], [not_product_4])).
% 30.00/4.86 thf(zip_derived_cl29, plain, (![X0 : $i]: ~ (product @ a @ X0 @ b)),
% 30.00/4.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 30.00/4.86 thf(zip_derived_cl16026, plain,
% 30.00/4.86 (![X0 : $i]:
% 30.00/4.86 (~ (product @ multiplicative_identity @ X0 @ b) | ~ (defined @ X0))),
% 30.00/4.86 inference('sup-', [status(thm)], [zip_derived_cl475, zip_derived_cl29])).
% 30.00/4.86 thf(zip_derived_cl16249, plain, ((~ (defined @ b) | ~ (defined @ b))),
% 30.00/4.86 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl16026])).
% 30.00/4.86 thf(b_is_defined, axiom, (defined @ b)).
% 30.00/4.86 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 30.00/4.86 inference('cnf', [status(esa)], [b_is_defined])).
% 30.00/4.86 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 30.00/4.86 inference('cnf', [status(esa)], [b_is_defined])).
% 30.00/4.86 thf(zip_derived_cl16251, plain, ($false),
% 30.00/4.86 inference('demod', [status(thm)],
% 30.00/4.86 [zip_derived_cl16249, zip_derived_cl27, zip_derived_cl27])).
% 30.00/4.86
% 30.00/4.86 % SZS output end Refutation
% 30.00/4.86
% 30.00/4.86
% 30.00/4.86 % Terminating...
% 30.00/4.95 % Runner terminated.
% 30.00/4.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------