%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN374^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mee5KdOlXF true
% Computer : n025.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 05:04:38 PM UTC 2025
% Result : Theorem 0.54s 0.72s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN374^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mee5KdOlXF true
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 13:46:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/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 HO mode
% 0.54/0.63 % Total configuration time : 828
% 0.54/0.63 % Estimated wc time : 1656
% 0.54/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.72 % Solved by lams/40_c.s.sh.
% 0.54/0.72 % done 26 iterations in 0.019s
% 0.54/0.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.72 % SZS output start Refutation
% 0.54/0.72 thf(sk__1_type, type, sk__1: $i).
% 0.54/0.72 thf(cP_type, type, cP: $i > $o).
% 0.54/0.72 thf(zip_tseitin_1_type, type, zip_tseitin_1: $o).
% 0.54/0.72 thf(sk__4_type, type, sk__4: $i > $i).
% 0.54/0.72 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.54/0.72 thf(sk__type, type, sk_: $i).
% 0.54/0.72 thf(sk__5_type, type, sk__5: $i).
% 0.54/0.72 thf(cX2125, conjecture,
% 0.54/0.72 (( ?[Xx:$i]: ( ![Xy:$i]: ( ( cP @ Xx ) <=> ( cP @ Xy ) ) ) ) <=>
% 0.54/0.72 ( ( ?[Xx:$i]: ( cP @ Xx ) ) <=> ( ![Xy:$i]: ( cP @ Xy ) ) ))).
% 0.54/0.72 thf(zf_stmt_0, type, zip_tseitin_1 : $o).
% 0.54/0.72 thf(zf_stmt_1, axiom,
% 0.54/0.72 (( zip_tseitin_1 ) <=>
% 0.54/0.72 ( ( ?[Xx:$i]: ( cP @ Xx ) ) <=> ( ![Xy:$i]: ( cP @ Xy ) ) ))).
% 0.54/0.72 thf(zf_stmt_2, type, zip_tseitin_0 : $i > $i > $o).
% 0.54/0.72 thf(zf_stmt_3, axiom,
% 0.54/0.72 (![Xy:$i,Xx:$i]:
% 0.54/0.72 ( ( zip_tseitin_0 @ Xy @ Xx ) <=> ( ( cP @ Xx ) <=> ( cP @ Xy ) ) ))).
% 0.54/0.72 thf(zf_stmt_4, conjecture,
% 0.54/0.72 (( ?[Xx:$i]: ( ![Xy:$i]: ( zip_tseitin_0 @ Xy @ Xx ) ) ) <=>
% 0.54/0.72 ( zip_tseitin_1 ))).
% 0.54/0.72 thf(zf_stmt_5, negated_conjecture,
% 0.54/0.72 (~( ( ?[Xx:$i]: ( ![Xy:$i]: ( zip_tseitin_0 @ Xy @ Xx ) ) ) <=>
% 0.54/0.72 ( zip_tseitin_1 ) )),
% 0.54/0.72 inference('cnf.neg', [status(esa)], [zf_stmt_4])).
% 0.54/0.72 thf(zip_derived_cl9, plain,
% 0.54/0.72 (![X1 : $i]: (~ (zip_tseitin_1) | ~ (zip_tseitin_0 @ (sk__4 @ X1) @ X1))),
% 0.54/0.72 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/0.72 thf(zip_derived_cl6, plain,
% 0.54/0.72 (![X0 : $i]: ( (zip_tseitin_1) | ~ (cP @ sk_) | ~ (cP @ X0))),
% 0.54/0.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.72 thf(zip_derived_cl11, plain, (( (zip_tseitin_1) | ~ (cP @ sk_))),
% 0.54/0.72 inference('condensation', [status(thm)], [zip_derived_cl6])).
% 0.54/0.72 thf(zip_derived_cl8, plain,
% 0.54/0.72 (![X0 : $i]: ( (zip_tseitin_1) | (zip_tseitin_0 @ X0 @ sk__5))),
% 0.54/0.72 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/0.72 thf(zip_derived_cl1, plain,
% 0.54/0.72 (![X0 : $i, X1 : $i]:
% 0.54/0.72 (~ (cP @ X0) | (cP @ X1) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 0.54/0.72 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.72 thf(zip_derived_cl25, plain,
% 0.54/0.72 (![X0 : $i]: ( (zip_tseitin_1) | (cP @ X0) | ~ (cP @ sk__5))),
% 0.54/0.72 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.54/0.72 thf(zip_derived_cl5, plain,
% 0.54/0.72 (![X0 : $i, X1 : $i]: (~ (cP @ X0) | (cP @ X1) | ~ (zip_tseitin_1))),
% 0.54/0.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.72 thf(zip_derived_cl32, plain, (![X0 : $i]: (~ (cP @ sk__5) | (cP @ X0))),
% 0.54/0.72 inference('clc', [status(thm)], [zip_derived_cl25, zip_derived_cl5])).
% 0.54/0.72 thf(zip_derived_cl7, plain,
% 0.54/0.72 (![X0 : $i]: ( (zip_tseitin_1) | (cP @ X0) | (cP @ sk__1))),
% 0.54/0.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.72 thf(zip_derived_cl10, plain, (( (zip_tseitin_1) | (cP @ sk__1))),
% 0.54/0.72 inference('condensation', [status(thm)], [zip_derived_cl7])).
% 0.54/0.72 thf(zip_derived_cl8, plain,
% 0.54/0.72 (![X0 : $i]: ( (zip_tseitin_1) | (zip_tseitin_0 @ X0 @ sk__5))),
% 0.54/0.72 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/0.72 thf(zip_derived_cl0, plain,
% 0.54/0.72 (![X0 : $i, X1 : $i]:
% 0.54/0.72 (~ (cP @ X0) | (cP @ X1) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.54/0.72 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.72 thf(zip_derived_cl12, plain,
% 0.54/0.72 (![X0 : $i]: ( (zip_tseitin_1) | (cP @ sk__5) | ~ (cP @ X0))),
% 0.54/0.72 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 0.54/0.72 thf(zip_derived_cl5, plain,
% 0.54/0.72 (![X0 : $i, X1 : $i]: (~ (cP @ X0) | (cP @ X1) | ~ (zip_tseitin_1))),
% 0.54/0.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.72 thf(zip_derived_cl18, plain, (![X0 : $i]: (~ (cP @ X0) | (cP @ sk__5))),
% 0.54/0.72 inference('clc', [status(thm)], [zip_derived_cl12, zip_derived_cl5])).
% 0.54/0.72 thf(zip_derived_cl19, plain, (( (zip_tseitin_1) | (cP @ sk__5))),
% 0.54/0.72 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl18])).
% 0.54/0.72 thf(zip_derived_cl34, plain, (![X0 : $i]: ( (cP @ X0) | (zip_tseitin_1))),
% 0.54/0.72 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl19])).
% 0.54/0.72 thf(zip_derived_cl48, plain, (( (zip_tseitin_1) | (zip_tseitin_1))),
% 0.54/0.72 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl34])).
% 0.54/0.72 thf(zip_derived_cl54, plain, ( (zip_tseitin_1)),
% 0.54/0.72 inference('simplify', [status(thm)], [zip_derived_cl48])).
% 0.54/0.72 thf(zip_derived_cl59, plain,
% 0.54/0.72 (![X1 : $i]: ~ (zip_tseitin_0 @ (sk__4 @ X1) @ X1)),
% 0.54/0.72 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl54])).
% 0.54/0.72 thf(zip_derived_cl3, plain,
% 0.54/0.72 (![X0 : $i, X1 : $i]:
% 0.54/0.72 ( (zip_tseitin_0 @ X0 @ X1) | (cP @ X0) | (cP @ X1))),
% 0.54/0.72 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.72 thf(zip_derived_cl2, plain,
% 0.54/0.72 (![X0 : $i, X1 : $i]:
% 0.54/0.72 ( (zip_tseitin_0 @ X0 @ X1) | ~ (cP @ X0) | ~ (cP @ X1))),
% 0.54/0.72 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.72 thf(zip_derived_cl5, plain,
% 0.54/0.72 (![X0 : $i, X1 : $i]: (~ (cP @ X0) | (cP @ X1) | ~ (zip_tseitin_1))),
% 0.54/0.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.72 thf(zip_derived_cl54, plain, ( (zip_tseitin_1)),
% 0.54/0.72 inference('simplify', [status(thm)], [zip_derived_cl48])).
% 0.54/0.72 thf(zip_derived_cl58, plain,
% 0.54/0.72 (![X0 : $i, X1 : $i]: (~ (cP @ X0) | (cP @ X1))),
% 0.54/0.72 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl54])).
% 0.54/0.72 thf(zip_derived_cl62, plain,
% 0.54/0.72 (![X0 : $i, X1 : $i]: (~ (cP @ X1) | (zip_tseitin_0 @ X0 @ X1))),
% 0.54/0.72 inference('clc', [status(thm)], [zip_derived_cl2, zip_derived_cl58])).
% 0.54/0.72 thf(zip_derived_cl59, plain,
% 0.54/0.72 (![X1 : $i]: ~ (zip_tseitin_0 @ (sk__4 @ X1) @ X1)),
% 0.54/0.72 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl54])).
% 0.54/0.72 thf(zip_derived_cl63, plain, (![X0 : $i]: ~ (cP @ X0)),
% 0.54/0.72 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl59])).
% 0.54/0.72 thf(zip_derived_cl63, plain, (![X0 : $i]: ~ (cP @ X0)),
% 0.54/0.72 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl59])).
% 0.54/0.72 thf(zip_derived_cl67, plain,
% 0.54/0.72 (![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1)),
% 0.54/0.72 inference('demod', [status(thm)],
% 0.54/0.72 [zip_derived_cl3, zip_derived_cl63, zip_derived_cl63])).
% 0.54/0.72 thf(zip_derived_cl68, plain, ($false),
% 0.54/0.72 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl67])).
% 0.54/0.72
% 0.54/0.72 % SZS output end Refutation
% 0.54/0.72
% 0.54/0.72
% 0.54/0.72 % Terminating...
% 0.81/0.83 % Runner terminated.
% 0.81/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------