%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN063+1 : TPTP v9.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1jg3qvG1YK true
% Computer : n007.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 05:03:54 PM UTC 2025
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN063+1 : TPTP v9.2.0. Released v2.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1jg3qvG1YK true
% 0.13/0.34 % Computer : n007.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 13:27:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.42/0.63 % Total configuration time : 435
% 0.42/0.63 % Estimated wc time : 1092
% 0.42/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % Solved by fo/fo6_bce.sh.
% 0.56/0.74 % BCE start: 20
% 0.56/0.74 % BCE eliminated: 0
% 0.56/0.74 % PE start: 20
% 0.56/0.74 logic: neq
% 0.56/0.74 % PE eliminated: -12
% 0.56/0.74 % done 31 iterations in 0.018s
% 0.56/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.74 % SZS output start Refutation
% 0.56/0.74 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $o).
% 0.56/0.74 thf(big_p_type, type, big_p: $i > $o).
% 0.56/0.74 thf(b_type, type, b: $i).
% 0.56/0.74 thf(zip_tseitin_3_type, type, zip_tseitin_3: $o).
% 0.56/0.74 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $o).
% 0.56/0.74 thf(a_type, type, a: $i).
% 0.56/0.74 thf(c_type, type, c: $i).
% 0.56/0.74 thf(sk__type, type, sk_: $i).
% 0.56/0.74 thf(sk__1_type, type, sk__1: $i).
% 0.56/0.74 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $o).
% 0.56/0.74 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $o).
% 0.56/0.74 thf(pel33, conjecture,
% 0.56/0.74 (( ![X:$i]:
% 0.56/0.74 ( ( ( ( big_p @ X ) => ( big_p @ b ) ) & ( big_p @ a ) ) =>
% 0.56/0.74 ( big_p @ c ) ) ) <=>
% 0.56/0.74 ( ![X1:$i]:
% 0.56/0.74 ( ( ( ~( big_p @ a ) ) | ( big_p @ X1 ) | ( big_p @ c ) ) &
% 0.56/0.74 ( ( ~( big_p @ a ) ) | ( ~( big_p @ b ) ) | ( big_p @ c ) ) ) ))).
% 0.56/0.74 thf(zf_stmt_0, axiom,
% 0.56/0.74 (![X:$i]:
% 0.56/0.74 ( ( zip_tseitin_1 @ X ) <=>
% 0.56/0.74 ( ( ( big_p @ a ) & ( zip_tseitin_0 @ X ) ) => ( big_p @ c ) ) ))).
% 0.56/0.74 thf(zip_derived_cl4, plain,
% 0.56/0.74 (![X0 : $i]: ( (zip_tseitin_1 @ X0) | ~ (big_p @ c))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.74 thf(zf_stmt_1, axiom,
% 0.56/0.74 (![X1:$i]:
% 0.56/0.74 ( ( zip_tseitin_2 @ X1 ) <=>
% 0.56/0.74 ( ( big_p @ c ) | ( big_p @ X1 ) | ( ~( big_p @ a ) ) ) ))).
% 0.56/0.74 thf(zip_derived_cl8, plain,
% 0.56/0.74 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | ~ (big_p @ c))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.74 thf(zf_stmt_2, axiom,
% 0.56/0.74 (( zip_tseitin_3 ) <=>
% 0.56/0.74 ( ( big_p @ c ) | ( ~( big_p @ b ) ) | ( ~( big_p @ a ) ) ))).
% 0.56/0.74 thf(zip_derived_cl12, plain, (( (zip_tseitin_3) | ~ (big_p @ c))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.74 thf(zf_stmt_3, axiom,
% 0.56/0.74 (![X1:$i]:
% 0.56/0.74 ( ( zip_tseitin_4 @ X1 ) <=>
% 0.56/0.74 ( ( zip_tseitin_3 ) & ( zip_tseitin_2 @ X1 ) ) ))).
% 0.56/0.74 thf(zip_derived_cl17, plain,
% 0.56/0.74 (![X0 : $i]:
% 0.56/0.74 ( (zip_tseitin_4 @ X0) | ~ (zip_tseitin_2 @ X0) | ~ (zip_tseitin_3))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.74 thf(zf_stmt_4, type, zip_tseitin_4 : $i > $o).
% 0.56/0.74 thf(zf_stmt_5, type, zip_tseitin_3 : $o).
% 0.56/0.74 thf(zf_stmt_6, type, zip_tseitin_2 : $i > $o).
% 0.56/0.74 thf(zf_stmt_7, type, zip_tseitin_1 : $i > $o).
% 0.56/0.74 thf(zf_stmt_8, type, zip_tseitin_0 : $i > $o).
% 0.56/0.74 thf(zf_stmt_9, axiom,
% 0.56/0.74 (![X:$i]: ( ( zip_tseitin_0 @ X ) <=> ( ( big_p @ X ) => ( big_p @ b ) ) ))).
% 0.56/0.74 thf(zf_stmt_10, conjecture,
% 0.56/0.74 (( ![X:$i]: ( zip_tseitin_1 @ X ) ) <=>
% 0.56/0.74 ( ![X1:$i]: ( zip_tseitin_4 @ X1 ) ))).
% 0.56/0.74 thf(zf_stmt_11, negated_conjecture,
% 0.56/0.74 (~( ( ![X:$i]: ( zip_tseitin_1 @ X ) ) <=>
% 0.56/0.74 ( ![X1:$i]: ( zip_tseitin_4 @ X1 ) ) )),
% 0.56/0.74 inference('cnf.neg', [status(esa)], [zf_stmt_10])).
% 0.56/0.74 thf(zip_derived_cl19, plain,
% 0.56/0.74 ((~ (zip_tseitin_4 @ sk_) | ~ (zip_tseitin_1 @ sk__1))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.56/0.74 thf(zip_derived_cl35, plain,
% 0.56/0.74 ((~ (zip_tseitin_3) | ~ (zip_tseitin_2 @ sk_) | ~ (zip_tseitin_1 @ sk__1))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl17, zip_derived_cl19])).
% 0.56/0.74 thf(zip_derived_cl40, plain,
% 0.56/0.74 ((~ (big_p @ c) | ~ (zip_tseitin_1 @ sk__1) | ~ (zip_tseitin_2 @ sk_))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl12, zip_derived_cl35])).
% 0.56/0.74 thf(zip_derived_cl44, plain,
% 0.56/0.74 ((~ (big_p @ c) | ~ (zip_tseitin_1 @ sk__1) | ~ (big_p @ c))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl8, zip_derived_cl40])).
% 0.56/0.74 thf(zip_derived_cl55, plain,
% 0.56/0.74 ((~ (big_p @ c) | ~ (big_p @ c) | ~ (big_p @ c))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl4, zip_derived_cl44])).
% 0.56/0.74 thf(zip_derived_cl108, plain, (~ (big_p @ c)),
% 0.56/0.74 inference('simplify', [status(thm)], [zip_derived_cl55])).
% 0.56/0.74 thf(zip_derived_cl18, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]: ( (zip_tseitin_4 @ X0) | (zip_tseitin_1 @ X1))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.56/0.74 thf(zip_derived_cl16, plain,
% 0.56/0.74 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | ~ (zip_tseitin_4 @ X0))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.74 thf(zip_derived_cl34, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]: ( (zip_tseitin_1 @ X1) | (zip_tseitin_2 @ X0))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl18, zip_derived_cl16])).
% 0.56/0.74 thf(zip_derived_cl7, plain,
% 0.56/0.74 (![X0 : $i]:
% 0.56/0.74 (~ (big_p @ a) | (big_p @ X0) | (big_p @ c) | ~ (zip_tseitin_2 @ X0))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.74 thf(zip_derived_cl43, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 ( (zip_tseitin_1 @ X1) | (big_p @ c) | (big_p @ X0) | ~ (big_p @ a))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl34, zip_derived_cl7])).
% 0.56/0.74 thf(zip_derived_cl2, plain,
% 0.56/0.74 (![X0 : $i]: ( (zip_tseitin_0 @ X0) | (big_p @ X0))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.56/0.74 thf(zip_derived_cl3, plain,
% 0.56/0.74 (![X0 : $i]:
% 0.56/0.74 (~ (big_p @ a)
% 0.56/0.74 | ~ (zip_tseitin_0 @ X0)
% 0.56/0.74 | (big_p @ c)
% 0.56/0.74 | ~ (zip_tseitin_1 @ X0))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.74 thf(zip_derived_cl38, plain,
% 0.56/0.74 (![X0 : $i]:
% 0.56/0.74 ( (big_p @ X0) | ~ (zip_tseitin_1 @ X0) | (big_p @ c) | ~ (big_p @ a))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl2, zip_derived_cl3])).
% 0.56/0.74 thf(zip_derived_cl98, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 (~ (big_p @ a)
% 0.56/0.74 | (big_p @ X1)
% 0.56/0.74 | (big_p @ c)
% 0.56/0.74 | ~ (big_p @ a)
% 0.56/0.74 | (big_p @ c)
% 0.56/0.74 | (big_p @ X0))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl43, zip_derived_cl38])).
% 0.56/0.74 thf(zip_derived_cl165, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]:
% 0.56/0.74 ( (big_p @ X0) | (big_p @ c) | (big_p @ X1) | ~ (big_p @ a))),
% 0.56/0.74 inference('simplify', [status(thm)], [zip_derived_cl98])).
% 0.56/0.74 thf(zip_derived_cl6, plain,
% 0.56/0.74 (![X0 : $i]: ( (zip_tseitin_1 @ X0) | (big_p @ a))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.74 thf(zip_derived_cl10, plain,
% 0.56/0.74 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | (big_p @ a))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.74 thf(zip_derived_cl14, plain, (( (zip_tseitin_3) | (big_p @ a))),
% 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.74 thf(zip_derived_cl35, plain,
% 0.56/0.74 ((~ (zip_tseitin_3) | ~ (zip_tseitin_2 @ sk_) | ~ (zip_tseitin_1 @ sk__1))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl17, zip_derived_cl19])).
% 0.56/0.74 thf(zip_derived_cl42, plain,
% 0.56/0.74 (( (big_p @ a) | ~ (zip_tseitin_1 @ sk__1) | ~ (zip_tseitin_2 @ sk_))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl14, zip_derived_cl35])).
% 0.56/0.74 thf(zip_derived_cl52, plain,
% 0.56/0.74 (( (big_p @ a) | ~ (zip_tseitin_1 @ sk__1) | (big_p @ a))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl10, zip_derived_cl42])).
% 0.56/0.74 thf(zip_derived_cl74, plain, (( (big_p @ a) | (big_p @ a) | (big_p @ a))),
% 0.56/0.74 inference('dp-resolution', [status(thm)],
% 0.56/0.74 [zip_derived_cl6, zip_derived_cl52])).
% 0.56/0.74 thf(zip_derived_cl134, plain, ( (big_p @ a)),
% 0.56/0.74 inference('simplify', [status(thm)], [zip_derived_cl74])).
% 0.56/0.74 thf(zip_derived_cl166, plain,
% 0.56/0.74 (![X0 : $i, X1 : $i]: ( (big_p @ X0) | (big_p @ c) | (big_p @ X1))),
% 0.56/0.74 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl134])).
% 0.56/0.74 thf(zip_derived_cl167, plain, (![X0 : $i]: ( (big_p @ X0) | (big_p @ c))),
% 0.56/0.74 inference('condensation', [status(thm)], [zip_derived_cl166])).
% 0.56/0.74 thf(zip_derived_cl168, plain, ( (big_p @ c)),
% 0.56/0.74 inference('condensation', [status(thm)], [zip_derived_cl167])).
% 0.56/0.74 thf(zip_derived_cl169, plain, ($false),
% 0.56/0.74 inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl168])).
% 0.56/0.74
% 0.56/0.74 % SZS output end Refutation
% 0.56/0.74
% 0.56/0.74
% 0.56/0.75 % Terminating...
% 1.58/0.85 % Runner terminated.
% 1.58/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------