TSTP Solution File: NUM015-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM015-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mYY0hACOjY true
% Computer : n021.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 Aug 31 12:38:58 EDT 2023
% Result : Unsatisfiable 0.12s 0.75s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM015-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mYY0hACOjY true
% 0.09/0.37 % Computer : n021.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8042.1875MB
% 0.09/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Aug 25 12:49:56 EDT 2023
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Running portfolio for 300 s
% 0.09/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Number of cores: 8
% 0.09/0.37 % Python version: Python 3.6.8
% 0.09/0.37 % Running in FO mode
% 0.12/0.60 % Total configuration time : 435
% 0.12/0.60 % Estimated wc time : 1092
% 0.12/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.12/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.12/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.12/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.12/0.75 % Solved by fo/fo3_bce.sh.
% 0.12/0.75 % BCE start: 9
% 0.12/0.75 % BCE eliminated: 0
% 0.12/0.75 % PE start: 9
% 0.12/0.75 logic: neq
% 0.12/0.75 % PE eliminated: 1
% 0.12/0.75 % done 19 iterations in 0.012s
% 0.12/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.12/0.75 % SZS output start Refutation
% 0.12/0.75 thf(a_type, type, a: $i).
% 0.12/0.75 thf(divisor_type, type, divisor: $i > $i).
% 0.12/0.75 thf(factor_of_type, type, factor_of: $i > $i).
% 0.12/0.75 thf(divides_type, type, divides: $i > $i > $o).
% 0.12/0.75 thf(n1_type, type, n1: $i).
% 0.12/0.75 thf(less_type, type, less: $i > $i > $o).
% 0.12/0.75 thf(prime_type, type, prime: $i > $o).
% 0.12/0.75 thf(prime, axiom, (( prime @ X ) | ( divides @ ( divisor @ X ) @ X ))).
% 0.12/0.75 thf(zip_derived_cl2, plain,
% 0.12/0.75 (![X0 : $i]: ( (prime @ X0) | (divides @ (divisor @ X0) @ X0))),
% 0.12/0.75 inference('cnf', [status(esa)], [prime])).
% 0.12/0.75 thf(prove_a_has_prime_divisor, conjecture,
% 0.12/0.75 (~( ( ~( divides @ X @ a ) ) | ( ~( prime @ X ) ) ))).
% 0.12/0.75 thf(zf_stmt_0, negated_conjecture,
% 0.12/0.75 (( ~( divides @ X @ a ) ) | ( ~( prime @ X ) )),
% 0.12/0.75 inference('cnf.neg', [status(esa)], [prove_a_has_prime_divisor])).
% 0.12/0.75 thf(zip_derived_cl8, plain,
% 0.12/0.75 (![X0 : $i]: (~ (divides @ X0 @ a) | ~ (prime @ X0))),
% 0.12/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.12/0.75 thf(zip_derived_cl9, plain,
% 0.12/0.75 (![X0 : $i]: ( (divides @ (divisor @ X0) @ X0) | ~ (divides @ X0 @ a))),
% 0.12/0.75 inference('dp-resolution', [status(thm)],
% 0.12/0.75 [zip_derived_cl2, zip_derived_cl8])).
% 0.12/0.75 thf(divisor2, axiom, (( prime @ X ) | ( less @ ( divisor @ X ) @ X ))).
% 0.12/0.75 thf(zip_derived_cl4, plain,
% 0.12/0.75 (![X0 : $i]: ( (prime @ X0) | (less @ (divisor @ X0) @ X0))),
% 0.12/0.75 inference('cnf', [status(esa)], [divisor2])).
% 0.12/0.75 thf(zip_derived_cl8, plain,
% 0.12/0.75 (![X0 : $i]: (~ (divides @ X0 @ a) | ~ (prime @ X0))),
% 0.12/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.12/0.75 thf(zip_derived_cl11, plain,
% 0.12/0.75 (![X0 : $i]: ( (less @ (divisor @ X0) @ X0) | ~ (divides @ X0 @ a))),
% 0.12/0.75 inference('dp-resolution', [status(thm)],
% 0.12/0.75 [zip_derived_cl4, zip_derived_cl8])).
% 0.12/0.75 thf(divisor1, axiom, (( prime @ X ) | ( less @ n1 @ ( divisor @ X ) ))).
% 0.12/0.75 thf(zip_derived_cl3, plain,
% 0.12/0.75 (![X0 : $i]: ( (prime @ X0) | (less @ n1 @ (divisor @ X0)))),
% 0.12/0.75 inference('cnf', [status(esa)], [divisor1])).
% 0.12/0.75 thf(zip_derived_cl8, plain,
% 0.12/0.75 (![X0 : $i]: (~ (divides @ X0 @ a) | ~ (prime @ X0))),
% 0.12/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.12/0.75 thf(zip_derived_cl10, plain,
% 0.12/0.75 (![X0 : $i]: ( (less @ n1 @ (divisor @ X0)) | ~ (divides @ X0 @ a))),
% 0.12/0.75 inference('dp-resolution', [status(thm)],
% 0.12/0.75 [zip_derived_cl3, zip_derived_cl8])).
% 0.12/0.75 thf(factor2, axiom,
% 0.12/0.75 (( ~( less @ n1 @ X ) ) | ( ~( less @ X @ a ) ) |
% 0.12/0.75 ( divides @ ( factor_of @ X ) @ X ))).
% 0.12/0.75 thf(zip_derived_cl6, plain,
% 0.12/0.75 (![X0 : $i]:
% 0.12/0.75 (~ (less @ n1 @ X0)
% 0.12/0.75 | ~ (less @ X0 @ a)
% 0.12/0.75 | (divides @ (factor_of @ X0) @ X0))),
% 0.12/0.75 inference('cnf', [status(esa)], [factor2])).
% 0.12/0.75 thf(zip_derived_cl25, plain,
% 0.12/0.75 (![X0 : $i]:
% 0.12/0.75 (~ (divides @ X0 @ a)
% 0.12/0.75 | (divides @ (factor_of @ (divisor @ X0)) @ (divisor @ X0))
% 0.12/0.75 | ~ (less @ (divisor @ X0) @ a))),
% 0.12/0.75 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl6])).
% 0.12/0.75 thf(zip_derived_cl31, plain,
% 0.12/0.75 ((~ (divides @ a @ a)
% 0.12/0.75 | (divides @ (factor_of @ (divisor @ a)) @ (divisor @ a))
% 0.12/0.75 | ~ (divides @ a @ a))),
% 0.12/0.75 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl25])).
% 0.12/0.75 thf(divide_self, axiom, (divides @ X @ X)).
% 0.12/0.75 thf(zip_derived_cl0, plain, (![X0 : $i]: (divides @ X0 @ X0)),
% 0.12/0.75 inference('cnf', [status(esa)], [divide_self])).
% 0.12/0.75 thf(zip_derived_cl0, plain, (![X0 : $i]: (divides @ X0 @ X0)),
% 0.12/0.75 inference('cnf', [status(esa)], [divide_self])).
% 0.12/0.75 thf(zip_derived_cl32, plain,
% 0.12/0.75 ( (divides @ (factor_of @ (divisor @ a)) @ (divisor @ a))),
% 0.12/0.75 inference('demod', [status(thm)],
% 0.12/0.75 [zip_derived_cl31, zip_derived_cl0, zip_derived_cl0])).
% 0.12/0.75 thf(transitive_divide, axiom,
% 0.12/0.75 (( ~( divides @ X @ Y ) ) | ( ~( divides @ Y @ Z ) ) | ( divides @ X @ Z ))).
% 0.12/0.75 thf(zip_derived_cl1, plain,
% 0.12/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.12/0.75 (~ (divides @ X0 @ X1) | ~ (divides @ X1 @ X2) | (divides @ X0 @ X2))),
% 0.12/0.75 inference('cnf', [status(esa)], [transitive_divide])).
% 0.12/0.75 thf(zip_derived_cl34, plain,
% 0.12/0.75 (![X0 : $i]:
% 0.12/0.75 ( (divides @ (factor_of @ (divisor @ a)) @ X0)
% 0.12/0.75 | ~ (divides @ (divisor @ a) @ X0))),
% 0.12/0.75 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl1])).
% 0.12/0.75 thf(zip_derived_cl10, plain,
% 0.12/0.75 (![X0 : $i]: ( (less @ n1 @ (divisor @ X0)) | ~ (divides @ X0 @ a))),
% 0.12/0.75 inference('dp-resolution', [status(thm)],
% 0.12/0.75 [zip_derived_cl3, zip_derived_cl8])).
% 0.12/0.75 thf(zip_derived_cl11, plain,
% 0.12/0.75 (![X0 : $i]: ( (less @ (divisor @ X0) @ X0) | ~ (divides @ X0 @ a))),
% 0.12/0.75 inference('dp-resolution', [status(thm)],
% 0.12/0.75 [zip_derived_cl4, zip_derived_cl8])).
% 0.12/0.75 thf(factor1, axiom,
% 0.12/0.75 (( ~( less @ n1 @ X ) ) | ( ~( less @ X @ a ) ) |
% 0.12/0.75 ( prime @ ( factor_of @ X ) ))).
% 0.12/0.75 thf(zip_derived_cl5, plain,
% 0.12/0.75 (![X0 : $i]:
% 0.12/0.75 (~ (less @ n1 @ X0) | ~ (less @ X0 @ a) | (prime @ (factor_of @ X0)))),
% 0.12/0.75 inference('cnf', [status(esa)], [factor1])).
% 0.12/0.75 thf(zip_derived_cl8, plain,
% 0.12/0.75 (![X0 : $i]: (~ (divides @ X0 @ a) | ~ (prime @ X0))),
% 0.12/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.12/0.75 thf(zip_derived_cl12, plain,
% 0.12/0.75 (![X0 : $i]:
% 0.12/0.75 (~ (less @ X0 @ a)
% 0.12/0.75 | ~ (less @ n1 @ X0)
% 0.12/0.75 | ~ (divides @ (factor_of @ X0) @ a))),
% 0.12/0.75 inference('dp-resolution', [status(thm)],
% 0.12/0.75 [zip_derived_cl5, zip_derived_cl8])).
% 0.12/0.75 thf(zip_derived_cl18, plain,
% 0.12/0.75 ((~ (divides @ a @ a)
% 0.12/0.75 | ~ (divides @ (factor_of @ (divisor @ a)) @ a)
% 0.12/0.75 | ~ (less @ n1 @ (divisor @ a)))),
% 0.12/0.75 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl12])).
% 0.12/0.75 thf(zip_derived_cl0, plain, (![X0 : $i]: (divides @ X0 @ X0)),
% 0.12/0.75 inference('cnf', [status(esa)], [divide_self])).
% 0.12/0.75 thf(zip_derived_cl19, plain,
% 0.12/0.75 ((~ (divides @ (factor_of @ (divisor @ a)) @ a)
% 0.12/0.75 | ~ (less @ n1 @ (divisor @ a)))),
% 0.12/0.75 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 0.12/0.75 thf(zip_derived_cl21, plain,
% 0.12/0.75 ((~ (divides @ a @ a) | ~ (divides @ (factor_of @ (divisor @ a)) @ a))),
% 0.12/0.75 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl19])).
% 0.12/0.75 thf(zip_derived_cl0, plain, (![X0 : $i]: (divides @ X0 @ X0)),
% 0.12/0.75 inference('cnf', [status(esa)], [divide_self])).
% 0.12/0.75 thf(zip_derived_cl22, plain, (~ (divides @ (factor_of @ (divisor @ a)) @ a)),
% 0.12/0.75 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 0.12/0.75 thf(zip_derived_cl39, plain, (~ (divides @ (divisor @ a) @ a)),
% 0.12/0.75 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl22])).
% 0.12/0.75 thf(zip_derived_cl44, plain, (~ (divides @ a @ a)),
% 0.12/0.75 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl39])).
% 0.12/0.75 thf(zip_derived_cl0, plain, (![X0 : $i]: (divides @ X0 @ X0)),
% 0.12/0.75 inference('cnf', [status(esa)], [divide_self])).
% 0.12/0.75 thf(zip_derived_cl46, plain, ($false),
% 0.12/0.75 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 0.12/0.75
% 0.12/0.75 % SZS output end Refutation
% 0.12/0.75
% 0.12/0.75
% 0.12/0.75 % Terminating...
% 0.96/0.81 % Runner terminated.
% 0.96/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------