%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO113^5 : 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.lRmBiiS0Yu true
% Computer : n022.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 05:06:29 PM UTC 2025
% Result : Theorem 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO113^5 : 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.lRmBiiS0Yu true
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 18:01:23 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.52/0.66 % Total configuration time : 828
% 0.52/0.66 % Estimated wc time : 1656
% 0.52/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.75 % Solved by lams/40_c_ic.sh.
% 0.54/0.75 % done 69 iterations in 0.025s
% 0.54/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.75 % SZS output start Refutation
% 0.54/0.75 thf(c0_type, type, c0: $i).
% 0.54/0.75 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $o).
% 0.54/0.75 thf(cNUMBER_type, type, cNUMBER: $i > $o).
% 0.54/0.75 thf(cEVEN_type, type, cEVEN: $i > $o).
% 0.54/0.75 thf(sk__1_type, type, sk__1: $i).
% 0.54/0.75 thf(cS_type, type, cS: $i > $i).
% 0.54/0.75 thf(cODD_type, type, cODD: $i > $o).
% 0.54/0.75 thf(sk__type, type, sk_: $i).
% 0.54/0.75 thf(cTHM350, conjecture,
% 0.54/0.75 (( ( ![Xn:$i]: ( ( cNUMBER @ Xn ) <=> ( ( cODD @ Xn ) | ( cEVEN @ Xn ) ) ) ) &
% 0.54/0.75 ( ( ( ![Xx:$i]:
% 0.54/0.75 ( ( ( cNUMBER @ ( cS @ Xx ) ) & ( cNUMBER @ Xx ) ) =>
% 0.54/0.75 ( ( cNUMBER @ ( cS @ ( cS @ Xx ) ) ) & ( cNUMBER @ ( cS @ Xx ) ) ) ) ) &
% 0.54/0.75 ( cNUMBER @ ( cS @ c0 ) ) & ( cNUMBER @ c0 ) ) =>
% 0.54/0.75 ( ![Xx:$i]: ( ( cNUMBER @ Xx ) & ( cNUMBER @ ( cS @ Xx ) ) ) ) ) &
% 0.54/0.75 ( ![Xn:$i]: ( ( cODD @ Xn ) => ( cODD @ ( cS @ ( cS @ Xn ) ) ) ) ) &
% 0.54/0.75 ( cODD @ ( cS @ c0 ) ) &
% 0.54/0.75 ( ![Xn:$i]: ( ( cEVEN @ Xn ) => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) ) ) &
% 0.54/0.75 ( cEVEN @ c0 ) ) =>
% 0.54/0.75 ( ![Xn:$i]: ( cNUMBER @ Xn ) ))).
% 0.54/0.75 thf(zf_stmt_0, type, zip_tseitin_0 : $i > $o).
% 0.54/0.75 thf(zf_stmt_1, axiom,
% 0.54/0.75 (![Xn:$i]:
% 0.54/0.75 ( ( zip_tseitin_0 @ Xn ) <=> ( ( cEVEN @ Xn ) | ( cODD @ Xn ) ) ))).
% 0.54/0.75 thf(zf_stmt_2, conjecture,
% 0.54/0.75 (( ( cEVEN @ c0 ) &
% 0.54/0.75 ( ![Xn:$i]: ( ( cEVEN @ Xn ) => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) ) ) &
% 0.54/0.75 ( cODD @ ( cS @ c0 ) ) &
% 0.54/0.75 ( ![Xn:$i]: ( ( cODD @ Xn ) => ( cODD @ ( cS @ ( cS @ Xn ) ) ) ) ) &
% 0.54/0.75 ( ( ( cNUMBER @ c0 ) & ( cNUMBER @ ( cS @ c0 ) ) &
% 0.54/0.75 ( ![Xx:$i]:
% 0.54/0.75 ( ( ( cNUMBER @ Xx ) & ( cNUMBER @ ( cS @ Xx ) ) ) =>
% 0.54/0.75 ( ( cNUMBER @ ( cS @ Xx ) ) & ( cNUMBER @ ( cS @ ( cS @ Xx ) ) ) ) ) ) ) =>
% 0.54/0.75 ( ![Xx:$i]: ( ( cNUMBER @ ( cS @ Xx ) ) & ( cNUMBER @ Xx ) ) ) ) &
% 0.54/0.75 ( ![Xn:$i]: ( ( cNUMBER @ Xn ) <=> ( zip_tseitin_0 @ Xn ) ) ) ) =>
% 0.54/0.75 ( ![Xn:$i]: ( cNUMBER @ Xn ) ))).
% 0.54/0.75 thf(zf_stmt_3, negated_conjecture,
% 0.54/0.75 (~( ( ( cEVEN @ c0 ) &
% 0.54/0.75 ( ![Xn:$i]: ( ( cEVEN @ Xn ) => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) ) ) &
% 0.54/0.75 ( cODD @ ( cS @ c0 ) ) &
% 0.54/0.75 ( ![Xn:$i]: ( ( cODD @ Xn ) => ( cODD @ ( cS @ ( cS @ Xn ) ) ) ) ) &
% 0.54/0.75 ( ( ( cNUMBER @ c0 ) & ( cNUMBER @ ( cS @ c0 ) ) &
% 0.54/0.75 ( ![Xx:$i]:
% 0.54/0.75 ( ( ( cNUMBER @ Xx ) & ( cNUMBER @ ( cS @ Xx ) ) ) =>
% 0.54/0.75 ( ( cNUMBER @ ( cS @ Xx ) ) &
% 0.54/0.75 ( cNUMBER @ ( cS @ ( cS @ Xx ) ) ) ) ) ) ) =>
% 0.54/0.75 ( ![Xx:$i]: ( ( cNUMBER @ ( cS @ Xx ) ) & ( cNUMBER @ Xx ) ) ) ) &
% 0.54/0.75 ( ![Xn:$i]: ( ( cNUMBER @ Xn ) <=> ( zip_tseitin_0 @ Xn ) ) ) ) =>
% 0.54/0.75 ( ![Xn:$i]: ( cNUMBER @ Xn ) ) )),
% 0.54/0.75 inference('cnf.neg', [status(esa)], [zf_stmt_2])).
% 0.54/0.75 thf(zip_derived_cl15, plain, (~ (cNUMBER @ sk_)),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.75 thf(zip_derived_cl12, plain,
% 0.54/0.75 (![X3 : $i]:
% 0.54/0.75 ( (cNUMBER @ X3)
% 0.54/0.75 | ~ (cNUMBER @ (cS @ (cS @ sk__1)))
% 0.54/0.75 | ~ (cNUMBER @ (cS @ sk__1))
% 0.54/0.75 | ~ (cNUMBER @ (cS @ c0))
% 0.54/0.75 | ~ (cNUMBER @ c0))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.75 thf(zip_derived_cl9, plain,
% 0.54/0.75 (![X2 : $i]:
% 0.54/0.75 ( (cNUMBER @ (cS @ X2))
% 0.54/0.75 | ~ (cNUMBER @ (cS @ (cS @ sk__1)))
% 0.54/0.75 | ~ (cNUMBER @ (cS @ sk__1))
% 0.54/0.75 | ~ (cNUMBER @ (cS @ c0))
% 0.54/0.75 | ~ (cNUMBER @ c0))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.75 thf(zip_derived_cl10, plain,
% 0.54/0.75 (![X3 : $i]:
% 0.54/0.75 ( (cNUMBER @ X3)
% 0.54/0.75 | (cNUMBER @ sk__1)
% 0.54/0.75 | ~ (cNUMBER @ (cS @ c0))
% 0.54/0.75 | ~ (cNUMBER @ c0))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.75 thf(zip_derived_cl13, plain,
% 0.54/0.75 (![X4 : $i]: ( (cNUMBER @ X4) | ~ (zip_tseitin_0 @ X4))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.75 thf(zip_derived_cl2, plain,
% 0.54/0.75 (![X0 : $i]: ( (zip_tseitin_0 @ X0) | ~ (cODD @ X0))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.75 thf(zip_derived_cl17, plain, (![X0 : $i]: ( (cNUMBER @ X0) | ~ (cODD @ X0))),
% 0.54/0.75 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 0.54/0.75 thf(zip_derived_cl5, plain, ( (cODD @ (cS @ c0))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.75 thf(zip_derived_cl28, plain, ( (cNUMBER @ (cS @ c0))),
% 0.54/0.75 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl5])).
% 0.54/0.75 thf(zip_derived_cl13, plain,
% 0.54/0.75 (![X4 : $i]: ( (cNUMBER @ X4) | ~ (zip_tseitin_0 @ X4))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.75 thf(zip_derived_cl1, plain,
% 0.54/0.75 (![X0 : $i]: ( (zip_tseitin_0 @ X0) | ~ (cEVEN @ X0))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.75 thf(zip_derived_cl18, plain,
% 0.54/0.75 (![X0 : $i]: ( (cNUMBER @ X0) | ~ (cEVEN @ X0))),
% 0.54/0.75 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 0.54/0.75 thf(zip_derived_cl3, plain, ( (cEVEN @ c0)),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.75 thf(zip_derived_cl38, plain, ( (cNUMBER @ c0)),
% 0.54/0.75 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl3])).
% 0.54/0.75 thf(zip_derived_cl99, plain,
% 0.54/0.75 (![X3 : $i]: ( (cNUMBER @ X3) | (cNUMBER @ sk__1))),
% 0.54/0.75 inference('demod', [status(thm)],
% 0.54/0.75 [zip_derived_cl10, zip_derived_cl28, zip_derived_cl38])).
% 0.54/0.75 thf(zip_derived_cl100, plain, ( (cNUMBER @ sk__1)),
% 0.54/0.75 inference('condensation', [status(thm)], [zip_derived_cl99])).
% 0.54/0.75 thf(zip_derived_cl14, plain,
% 0.54/0.75 (![X5 : $i]: ( (zip_tseitin_0 @ X5) | ~ (cNUMBER @ X5))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.75 thf(zip_derived_cl0, plain,
% 0.54/0.75 (![X0 : $i]: ( (cODD @ X0) | (cEVEN @ X0) | ~ (zip_tseitin_0 @ X0))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.75 thf(zip_derived_cl32, plain,
% 0.54/0.75 (![X0 : $i]: (~ (cNUMBER @ X0) | (cEVEN @ X0) | (cODD @ X0))),
% 0.54/0.75 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 0.54/0.75 thf(zip_derived_cl101, plain, (( (cODD @ sk__1) | (cEVEN @ sk__1))),
% 0.54/0.75 inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl32])).
% 0.54/0.75 thf(zip_derived_cl4, plain,
% 0.54/0.75 (![X0 : $i]: ( (cEVEN @ (cS @ (cS @ X0))) | ~ (cEVEN @ X0))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.75 thf(zip_derived_cl18, plain,
% 0.54/0.75 (![X0 : $i]: ( (cNUMBER @ X0) | ~ (cEVEN @ X0))),
% 0.54/0.75 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 0.54/0.75 thf(zip_derived_cl42, plain,
% 0.54/0.75 (![X0 : $i]: (~ (cEVEN @ X0) | (cNUMBER @ (cS @ (cS @ X0))))),
% 0.54/0.75 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl18])).
% 0.54/0.75 thf(zip_derived_cl103, plain,
% 0.54/0.75 (( (cODD @ sk__1) | (cNUMBER @ (cS @ (cS @ sk__1))))),
% 0.54/0.75 inference('sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl42])).
% 0.54/0.75 thf(zip_derived_cl6, plain,
% 0.54/0.75 (![X1 : $i]: ( (cODD @ (cS @ (cS @ X1))) | ~ (cODD @ X1))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.75 thf(zip_derived_cl17, plain, (![X0 : $i]: ( (cNUMBER @ X0) | ~ (cODD @ X0))),
% 0.54/0.75 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 0.54/0.75 thf(zip_derived_cl46, plain,
% 0.54/0.75 (![X0 : $i]: (~ (cODD @ X0) | (cNUMBER @ (cS @ (cS @ X0))))),
% 0.54/0.75 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl17])).
% 0.54/0.75 thf(zip_derived_cl117, plain, ( (cNUMBER @ (cS @ (cS @ sk__1)))),
% 0.54/0.75 inference('clc', [status(thm)], [zip_derived_cl103, zip_derived_cl46])).
% 0.54/0.75 thf(zip_derived_cl8, plain,
% 0.54/0.75 (![X2 : $i]:
% 0.54/0.75 ( (cNUMBER @ (cS @ X2))
% 0.54/0.75 | (cNUMBER @ (cS @ sk__1))
% 0.54/0.75 | ~ (cNUMBER @ (cS @ c0))
% 0.54/0.75 | ~ (cNUMBER @ c0))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.75 thf(zip_derived_cl28, plain, ( (cNUMBER @ (cS @ c0))),
% 0.54/0.75 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl5])).
% 0.54/0.75 thf(zip_derived_cl38, plain, ( (cNUMBER @ c0)),
% 0.54/0.75 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl3])).
% 0.54/0.75 thf(zip_derived_cl95, plain,
% 0.54/0.75 (![X2 : $i]: ( (cNUMBER @ (cS @ X2)) | (cNUMBER @ (cS @ sk__1)))),
% 0.54/0.75 inference('demod', [status(thm)],
% 0.54/0.75 [zip_derived_cl8, zip_derived_cl28, zip_derived_cl38])).
% 0.54/0.75 thf(zip_derived_cl96, plain, ( (cNUMBER @ (cS @ sk__1))),
% 0.54/0.75 inference('condensation', [status(thm)], [zip_derived_cl95])).
% 0.54/0.75 thf(zip_derived_cl28, plain, ( (cNUMBER @ (cS @ c0))),
% 0.54/0.75 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl5])).
% 0.54/0.75 thf(zip_derived_cl38, plain, ( (cNUMBER @ c0)),
% 0.54/0.75 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl3])).
% 0.54/0.75 thf(zip_derived_cl145, plain, (![X2 : $i]: (cNUMBER @ (cS @ X2))),
% 0.54/0.75 inference('demod', [status(thm)],
% 0.54/0.75 [zip_derived_cl9, zip_derived_cl117, zip_derived_cl96,
% 0.54/0.75 zip_derived_cl28, zip_derived_cl38])).
% 0.54/0.75 thf(zip_derived_cl145, plain, (![X2 : $i]: (cNUMBER @ (cS @ X2))),
% 0.54/0.75 inference('demod', [status(thm)],
% 0.54/0.75 [zip_derived_cl9, zip_derived_cl117, zip_derived_cl96,
% 0.54/0.75 zip_derived_cl28, zip_derived_cl38])).
% 0.54/0.75 thf(zip_derived_cl145, plain, (![X2 : $i]: (cNUMBER @ (cS @ X2))),
% 0.54/0.75 inference('demod', [status(thm)],
% 0.54/0.75 [zip_derived_cl9, zip_derived_cl117, zip_derived_cl96,
% 0.54/0.75 zip_derived_cl28, zip_derived_cl38])).
% 0.54/0.75 thf(zip_derived_cl38, plain, ( (cNUMBER @ c0)),
% 0.54/0.75 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl3])).
% 0.54/0.75 thf(zip_derived_cl156, plain, (![X3 : $i]: (cNUMBER @ X3)),
% 0.54/0.75 inference('demod', [status(thm)],
% 0.54/0.75 [zip_derived_cl12, zip_derived_cl145, zip_derived_cl145,
% 0.54/0.75 zip_derived_cl145, zip_derived_cl38])).
% 0.54/0.75 thf(zip_derived_cl158, plain, ($false),
% 0.54/0.75 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl156])).
% 0.54/0.75
% 0.54/0.75 % SZS output end Refutation
% 0.54/0.75
% 0.54/0.75
% 0.54/0.75 % Terminating...
% 1.84/0.85 % Runner terminated.
% 1.84/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------