%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM016-2 : 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.XOTl34Fjj4 true
% Computer : n004.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 04:45:46 PM UTC 2025
% Result : Unsatisfiable 0.61s 0.81s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM016-2 : TPTP v9.2.0. Released v1.0.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XOTl34Fjj4 true
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:19:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.81 % Solved by fo/fo6_bce.sh.
% 0.61/0.81 % BCE start: 8
% 0.61/0.81 % BCE eliminated: 0
% 0.61/0.81 % PE start: 8
% 0.61/0.81 logic: neq
% 0.61/0.81 % PE eliminated: 1
% 0.61/0.81 % done 14 iterations in 0.015s
% 0.61/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.81 % SZS output start Refutation
% 0.61/0.81 thf(divides_type, type, divides: $i > $i > $o).
% 0.61/0.81 thf(prime_divisor_type, type, prime_divisor: $i > $i).
% 0.61/0.81 thf(less_type, type, less: $i > $i > $o).
% 0.61/0.81 thf(a_type, type, a: $i).
% 0.61/0.81 thf(prime_type, type, prime: $i > $o).
% 0.61/0.81 thf(factorial_plus_one_type, type, factorial_plus_one: $i > $i).
% 0.61/0.81 thf(prove_there_is_another_prime, conjecture,
% 0.61/0.81 (~( ( less @ ( factorial_plus_one @ a ) @ X ) | ( ~( less @ a @ X ) ) |
% 0.61/0.81 ( ~( prime @ X ) ) ))).
% 0.61/0.81 thf(zf_stmt_0, negated_conjecture,
% 0.61/0.81 (( less @ ( factorial_plus_one @ a ) @ X ) | ( ~( less @ a @ X ) ) |
% 0.61/0.81 ( ~( prime @ X ) )),
% 0.61/0.81 inference('cnf.neg', [status(esa)], [prove_there_is_another_prime])).
% 0.61/0.81 thf(zip_derived_cl7, plain,
% 0.61/0.81 (![X0 : $i]:
% 0.61/0.81 ( (less @ (factorial_plus_one @ a) @ X0)
% 0.61/0.81 | ~ (less @ a @ X0)
% 0.61/0.81 | ~ (prime @ X0))),
% 0.61/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.61/0.81 thf(nothing_is_less_than_itself, axiom, (~( less @ X @ X ))).
% 0.61/0.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ~ (less @ X0 @ X0)),
% 0.61/0.81 inference('cnf', [status(esa)], [nothing_is_less_than_itself])).
% 0.61/0.81 thf(zip_derived_cl11, plain,
% 0.61/0.81 ((~ (prime @ (factorial_plus_one @ a))
% 0.61/0.81 | ~ (less @ a @ (factorial_plus_one @ a)))),
% 0.61/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 0.61/0.81 thf(a_prime_is_less_than_the_next_one, axiom,
% 0.61/0.81 (less @ X @ ( factorial_plus_one @ X ))).
% 0.61/0.81 thf(zip_derived_cl2, plain,
% 0.61/0.81 (![X0 : $i]: (less @ X0 @ (factorial_plus_one @ X0))),
% 0.61/0.81 inference('cnf', [status(esa)], [a_prime_is_less_than_the_next_one])).
% 0.61/0.81 thf(zip_derived_cl14, plain, (~ (prime @ (factorial_plus_one @ a))),
% 0.61/0.81 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.61/0.81 thf(division_by_prime_divisor, axiom,
% 0.61/0.81 (( prime @ X ) | ( divides @ ( prime_divisor @ X ) @ X ))).
% 0.61/0.81 thf(zip_derived_cl4, plain,
% 0.61/0.81 (![X0 : $i]: ( (prime @ X0) | (divides @ (prime_divisor @ X0) @ X0))),
% 0.61/0.81 inference('cnf', [status(esa)], [division_by_prime_divisor])).
% 0.61/0.81 thf(divisor_is_smaller, axiom,
% 0.61/0.81 (( ~( divides @ X @ ( factorial_plus_one @ Y ) ) ) | ( less @ Y @ X ))).
% 0.61/0.81 thf(zip_derived_cl3, plain,
% 0.61/0.81 (![X0 : $i, X1 : $i]:
% 0.61/0.81 (~ (divides @ X0 @ (factorial_plus_one @ X1)) | (less @ X1 @ X0))),
% 0.61/0.81 inference('cnf', [status(esa)], [divisor_is_smaller])).
% 0.61/0.81 thf(zip_derived_cl8, plain,
% 0.61/0.81 (![X0 : $i]:
% 0.61/0.81 ( (prime @ (factorial_plus_one @ X0))
% 0.61/0.81 | (less @ X0 @ (prime_divisor @ (factorial_plus_one @ X0))))),
% 0.61/0.81 inference('dp-resolution', [status(thm)],
% 0.61/0.81 [zip_derived_cl4, zip_derived_cl3])).
% 0.61/0.81 thf(prime_divsiors, axiom,
% 0.61/0.81 (( prime @ X ) | ( prime @ ( prime_divisor @ X ) ))).
% 0.61/0.81 thf(zip_derived_cl5, plain,
% 0.61/0.81 (![X0 : $i]: ( (prime @ X0) | (prime @ (prime_divisor @ X0)))),
% 0.61/0.81 inference('cnf', [status(esa)], [prime_divsiors])).
% 0.61/0.81 thf(zip_derived_cl7, plain,
% 0.61/0.81 (![X0 : $i]:
% 0.61/0.81 ( (less @ (factorial_plus_one @ a) @ X0)
% 0.61/0.81 | ~ (less @ a @ X0)
% 0.61/0.81 | ~ (prime @ X0))),
% 0.61/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.61/0.81 thf(smaller_prime_divisors, axiom,
% 0.61/0.81 (( prime @ X ) | ( less @ ( prime_divisor @ X ) @ X ))).
% 0.61/0.81 thf(zip_derived_cl6, plain,
% 0.61/0.81 (![X0 : $i]: ( (prime @ X0) | (less @ (prime_divisor @ X0) @ X0))),
% 0.61/0.81 inference('cnf', [status(esa)], [smaller_prime_divisors])).
% 0.61/0.81 thf(numbers_are_different, axiom,
% 0.61/0.81 (( ~( less @ X @ Y ) ) | ( ~( less @ Y @ X ) ))).
% 0.61/0.81 thf(zip_derived_cl1, plain,
% 0.61/0.81 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 0.61/0.81 inference('cnf', [status(esa)], [numbers_are_different])).
% 0.61/0.81 thf(zip_derived_cl16, plain,
% 0.61/0.81 (![X0 : $i]: ( (prime @ X0) | ~ (less @ X0 @ (prime_divisor @ X0)))),
% 0.61/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.61/0.81 thf(zip_derived_cl19, plain,
% 0.61/0.81 ((~ (prime @ (prime_divisor @ (factorial_plus_one @ a)))
% 0.61/0.81 | ~ (less @ a @ (prime_divisor @ (factorial_plus_one @ a)))
% 0.61/0.81 | (prime @ (factorial_plus_one @ a)))),
% 0.61/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl16])).
% 0.61/0.81 thf(zip_derived_cl14, plain, (~ (prime @ (factorial_plus_one @ a))),
% 0.61/0.81 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.61/0.81 thf(zip_derived_cl20, plain,
% 0.61/0.81 ((~ (prime @ (prime_divisor @ (factorial_plus_one @ a)))
% 0.61/0.81 | ~ (less @ a @ (prime_divisor @ (factorial_plus_one @ a))))),
% 0.61/0.81 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl14])).
% 0.61/0.81 thf(zip_derived_cl21, plain,
% 0.61/0.81 (( (prime @ (factorial_plus_one @ a))
% 0.61/0.81 | ~ (less @ a @ (prime_divisor @ (factorial_plus_one @ a))))),
% 0.61/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl20])).
% 0.61/0.81 thf(zip_derived_cl14, plain, (~ (prime @ (factorial_plus_one @ a))),
% 0.61/0.81 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.61/0.81 thf(zip_derived_cl22, plain,
% 0.61/0.81 (~ (less @ a @ (prime_divisor @ (factorial_plus_one @ a)))),
% 0.61/0.81 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl14])).
% 0.61/0.81 thf(zip_derived_cl26, plain, ( (prime @ (factorial_plus_one @ a))),
% 0.61/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl22])).
% 0.61/0.81 thf(zip_derived_cl27, plain, ($false),
% 0.61/0.81 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl26])).
% 0.61/0.81
% 0.61/0.81 % SZS output end Refutation
% 0.61/0.81
% 0.61/0.81
% 0.61/0.81 % Terminating...
% 1.64/0.87 % Runner terminated.
% 1.64/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------