%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM014-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EagcImWOIO true
% Computer : n015.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 04:45:45 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.79s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM014-1 : TPTP v9.2.0. Released v1.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EagcImWOIO true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:17:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.79 % Solved by fo/fo7.sh.
% 0.58/0.79 % done 13 iterations in 0.013s
% 0.58/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.79 % SZS output start Refutation
% 0.58/0.79 thf(product_type, type, product: $i > $i > $i > $o).
% 0.58/0.79 thf(square_type, type, square: $i > $i).
% 0.58/0.79 thf(prime_type, type, prime: $i > $o).
% 0.58/0.79 thf(c_type, type, c: $i).
% 0.58/0.79 thf(a_type, type, a: $i).
% 0.58/0.79 thf(divides_type, type, divides: $i > $i > $o).
% 0.58/0.79 thf(b_type, type, b: $i).
% 0.58/0.79 thf(prove_a_divides_b, conjecture, (divides @ a @ b)).
% 0.58/0.79 thf(zf_stmt_0, negated_conjecture, (~( divides @ a @ b )),
% 0.58/0.79 inference('cnf.neg', [status(esa)], [prove_a_divides_b])).
% 0.58/0.79 thf(zip_derived_cl6, plain, (~ (divides @ a @ b)),
% 0.58/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.79 thf(a_equals_b_squared_by_c_squared, axiom,
% 0.58/0.79 (product @ a @ ( square @ c ) @ ( square @ b ))).
% 0.58/0.79 thf(zip_derived_cl5, plain, ( (product @ a @ (square @ c) @ (square @ b))),
% 0.58/0.79 inference('cnf', [status(esa)], [a_equals_b_squared_by_c_squared])).
% 0.58/0.79 thf(divides, axiom, (( ~( product @ X @ Y @ Z ) ) | ( divides @ X @ Z ))).
% 0.58/0.79 thf(zip_derived_cl2, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.79 (~ (product @ X0 @ X1 @ X2) | (divides @ X0 @ X2))),
% 0.58/0.79 inference('cnf', [status(esa)], [divides])).
% 0.58/0.79 thf(zip_derived_cl8, plain, ( (divides @ a @ (square @ b))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 0.58/0.79 thf(square, axiom, (product @ X @ X @ ( square @ X ))).
% 0.58/0.79 thf(zip_derived_cl0, plain,
% 0.58/0.79 (![X0 : $i]: (product @ X0 @ X0 @ (square @ X0))),
% 0.58/0.79 inference('cnf', [status(esa)], [square])).
% 0.58/0.79 thf(remainder, axiom,
% 0.58/0.79 (( ~( prime @ X ) ) | ( ~( product @ Y @ Z @ U ) ) |
% 0.58/0.79 ( ~( divides @ X @ U ) ) | ( divides @ X @ Y ) | ( divides @ X @ Z ))).
% 0.58/0.79 thf(zip_derived_cl3, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.79 (~ (prime @ X0)
% 0.58/0.79 | ~ (product @ X1 @ X2 @ X3)
% 0.58/0.79 | ~ (divides @ X0 @ X3)
% 0.58/0.79 | (divides @ X0 @ X1)
% 0.58/0.79 | (divides @ X0 @ X2))),
% 0.58/0.79 inference('cnf', [status(esa)], [remainder])).
% 0.58/0.79 thf(zip_derived_cl12, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i]:
% 0.58/0.79 ( (divides @ X1 @ X0)
% 0.58/0.79 | (divides @ X1 @ X0)
% 0.58/0.79 | ~ (divides @ X1 @ (square @ X0))
% 0.58/0.79 | ~ (prime @ X1))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.58/0.79 thf(zip_derived_cl14, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i]:
% 0.58/0.79 (~ (prime @ X1)
% 0.58/0.79 | ~ (divides @ X1 @ (square @ X0))
% 0.58/0.79 | (divides @ X1 @ X0))),
% 0.58/0.79 inference('simplify', [status(thm)], [zip_derived_cl12])).
% 0.58/0.79 thf(zip_derived_cl20, plain, (( (divides @ a @ b) | ~ (prime @ a))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl14])).
% 0.58/0.79 thf(a_is_prime, axiom, (prime @ a)).
% 0.58/0.79 thf(zip_derived_cl4, plain, ( (prime @ a)),
% 0.58/0.79 inference('cnf', [status(esa)], [a_is_prime])).
% 0.58/0.79 thf(zip_derived_cl21, plain, ( (divides @ a @ b)),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl4])).
% 0.58/0.79 thf(zip_derived_cl22, plain, ($false),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl21])).
% 0.58/0.79
% 0.58/0.79 % SZS output end Refutation
% 0.58/0.79
% 0.58/0.79
% 0.58/0.79 % Terminating...
% 1.77/0.87 % Runner terminated.
% 1.77/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------