%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO330^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5bGjdvuKSB true
% Computer : n014.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 05:07:15 PM UTC 2025
% Result : Theorem 68.49s 9.35s
% Output : Refutation 68.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO330^5 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5bGjdvuKSB true
% 0.13/0.36 % Computer : n014.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 18:19:08 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.45/0.62 % Total configuration time : 828
% 0.45/0.62 % Estimated wc time : 1656
% 0.45/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 68.49/9.35 % Solved by lams/40_c_ic.sh.
% 68.49/9.35 % done 807 iterations in 8.607s
% 68.49/9.35 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 68.49/9.35 % SZS output start Refutation
% 68.49/9.35 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $o).
% 68.49/9.35 thf(sk__1_type, type, sk__1: ($i > $o) > ($i > $o) > $i).
% 68.49/9.35 thf(c0_type, type, c0: $i).
% 68.49/9.35 thf(cNUMBER_type, type, cNUMBER: $i > $o).
% 68.49/9.35 thf(sk__type, type, sk_: $i).
% 68.49/9.35 thf(cEVEN_type, type, cEVEN: $i > $o).
% 68.49/9.35 thf(cS_type, type, cS: $i > $i).
% 68.49/9.35 thf(cODD_type, type, cODD: $i > $o).
% 68.49/9.35 thf(cEVEN_ODD_4, conjecture,
% 68.49/9.35 (( ( ![Xn:$i]: ( ( cNUMBER @ Xn ) <=> ( ( cODD @ Xn ) | ( cEVEN @ Xn ) ) ) ) &
% 68.49/9.35 ( ![P:( $i > $o ),Q:( $i > $o )]:
% 68.49/9.35 ( ( ( ![Xx:$i]:
% 68.49/9.35 ( ( ( Q @ Xx ) & ( P @ Xx ) ) =>
% 68.49/9.35 ( ( Q @ ( cS @ Xx ) ) & ( P @ ( cS @ Xx ) ) ) ) ) &
% 68.49/9.35 ( Q @ c0 ) & ( P @ c0 ) ) =>
% 68.49/9.35 ( ![Xx:$i]: ( ( P @ Xx ) & ( Q @ Xx ) ) ) ) ) &
% 68.49/9.35 ( ![Xn:$i]: ( ( cODD @ Xn ) => ( cODD @ ( cS @ ( cS @ Xn ) ) ) ) ) &
% 68.49/9.35 ( cODD @ ( cS @ c0 ) ) &
% 68.49/9.35 ( ![Xn:$i]: ( ( cEVEN @ Xn ) => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) ) ) &
% 68.49/9.35 ( cEVEN @ c0 ) ) =>
% 68.49/9.35 ( ![Xn:$i]: ( cNUMBER @ Xn ) ))).
% 68.49/9.35 thf(zf_stmt_0, type, zip_tseitin_0 : $i > $o).
% 68.49/9.35 thf(zf_stmt_1, axiom,
% 68.49/9.35 (![Xn:$i]:
% 68.49/9.35 ( ( zip_tseitin_0 @ Xn ) <=> ( ( cEVEN @ Xn ) | ( cODD @ Xn ) ) ))).
% 68.49/9.35 thf(zf_stmt_2, conjecture,
% 68.49/9.35 (( ( cEVEN @ c0 ) &
% 68.49/9.35 ( ![Xn:$i]: ( ( cEVEN @ Xn ) => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) ) ) &
% 68.49/9.35 ( cODD @ ( cS @ c0 ) ) &
% 68.49/9.35 ( ![Xn:$i]: ( ( cODD @ Xn ) => ( cODD @ ( cS @ ( cS @ Xn ) ) ) ) ) &
% 68.49/9.35 ( ![P:( $i > $o ),Q:( $i > $o )]:
% 68.49/9.35 ( ( ( P @ c0 ) & ( Q @ c0 ) &
% 68.49/9.35 ( ![Xx:$i]:
% 68.49/9.35 ( ( ( P @ Xx ) & ( Q @ Xx ) ) =>
% 68.49/9.35 ( ( P @ ( cS @ Xx ) ) & ( Q @ ( cS @ Xx ) ) ) ) ) ) =>
% 68.49/9.35 ( ![Xx:$i]: ( ( Q @ Xx ) & ( P @ Xx ) ) ) ) ) &
% 68.49/9.35 ( ![Xn:$i]: ( ( cNUMBER @ Xn ) <=> ( zip_tseitin_0 @ Xn ) ) ) ) =>
% 68.49/9.35 ( ![Xn:$i]: ( cNUMBER @ Xn ) ))).
% 68.49/9.35 thf(zf_stmt_3, negated_conjecture,
% 68.49/9.35 (~( ( ( cEVEN @ c0 ) &
% 68.49/9.35 ( ![Xn:$i]: ( ( cEVEN @ Xn ) => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) ) ) &
% 68.49/9.35 ( cODD @ ( cS @ c0 ) ) &
% 68.49/9.35 ( ![Xn:$i]: ( ( cODD @ Xn ) => ( cODD @ ( cS @ ( cS @ Xn ) ) ) ) ) &
% 68.49/9.35 ( ![P:( $i > $o ),Q:( $i > $o )]:
% 68.49/9.35 ( ( ( P @ c0 ) & ( Q @ c0 ) &
% 68.49/9.35 ( ![Xx:$i]:
% 68.49/9.35 ( ( ( P @ Xx ) & ( Q @ Xx ) ) =>
% 68.49/9.35 ( ( P @ ( cS @ Xx ) ) & ( Q @ ( cS @ Xx ) ) ) ) ) ) =>
% 68.49/9.35 ( ![Xx:$i]: ( ( Q @ Xx ) & ( P @ Xx ) ) ) ) ) &
% 68.49/9.35 ( ![Xn:$i]: ( ( cNUMBER @ Xn ) <=> ( zip_tseitin_0 @ Xn ) ) ) ) =>
% 68.49/9.35 ( ![Xn:$i]: ( cNUMBER @ Xn ) ) )),
% 68.49/9.35 inference('cnf.neg', [status(esa)], [zf_stmt_2])).
% 68.49/9.35 thf(zip_derived_cl15, plain, (~ (cNUMBER @ sk_)),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_3])).
% 68.49/9.35 thf(zip_derived_cl0, plain,
% 68.49/9.35 (![X0 : $i]: ( (cODD @ X0) | (cEVEN @ X0) | ~ (zip_tseitin_0 @ X0))),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 68.49/9.35 thf(zip_derived_cl4, plain,
% 68.49/9.35 (![X0 : $i]: ( (cEVEN @ (cS @ (cS @ X0))) | ~ (cEVEN @ X0))),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_3])).
% 68.49/9.35 thf(zip_derived_cl6, plain,
% 68.49/9.35 (![X1 : $i]: ( (cODD @ (cS @ (cS @ X1))) | ~ (cODD @ X1))),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_3])).
% 68.49/9.35 thf(zip_derived_cl12, plain,
% 68.49/9.35 (![X2 : $i > $o, X3 : $i > $o, X5 : $i]:
% 68.49/9.35 (~ (X2 @ c0) | ~ (X3 @ c0) | (X2 @ (sk__1 @ X3 @ X2)) | (X2 @ X5))),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_3])).
% 68.49/9.35 thf(zip_derived_cl988, plain,
% 68.49/9.35 (![X0 : $i > $o, X1 : $i > $o]:
% 68.49/9.35 (~ (X0 @ c0) | ~ (X1 @ c0) | (X0 @ (sk__1 @ X1 @ X0)))),
% 68.49/9.35 inference('condensation', [status(thm)], [zip_derived_cl12])).
% 68.49/9.35 thf(zip_derived_cl14, plain,
% 68.49/9.35 (![X7 : $i]: ( (zip_tseitin_0 @ X7) | ~ (cNUMBER @ X7))),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_3])).
% 68.49/9.35 thf(zip_derived_cl1010, plain,
% 68.49/9.35 (![X0 : $i > $o]:
% 68.49/9.35 (~ (X0 @ c0)
% 68.49/9.35 | ~ (cNUMBER @ c0)
% 68.49/9.35 | (zip_tseitin_0 @ (sk__1 @ X0 @ cNUMBER)))),
% 68.49/9.35 inference('sup-', [status(thm)], [zip_derived_cl988, zip_derived_cl14])).
% 68.49/9.35 thf(zip_derived_cl5, plain, ( (cODD @ (cS @ c0))),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_3])).
% 68.49/9.35 thf(zip_derived_cl3, plain, ( (cEVEN @ c0)),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_3])).
% 68.49/9.35 thf(zip_derived_cl13, plain,
% 68.49/9.35 (![X6 : $i]: ( (cNUMBER @ X6) | ~ (zip_tseitin_0 @ X6))),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_3])).
% 68.49/9.35 thf(zip_derived_cl8, plain,
% 68.49/9.35 (![X2 : $i > $o, X3 : $i > $o, X5 : $i]:
% 68.49/9.35 (~ (X2 @ c0)
% 68.49/9.35 | ~ (X3 @ c0)
% 68.49/9.35 | ~ (X3 @ (cS @ (sk__1 @ X3 @ X2)))
% 68.49/9.35 | ~ (X2 @ (cS @ (sk__1 @ X3 @ X2)))
% 68.49/9.35 | (X2 @ X5))),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_3])).
% 68.49/9.35 thf(zip_derived_cl490, plain,
% 68.49/9.35 (![X0 : $i, X1 : $i > $o]:
% 68.49/9.35 (~ (zip_tseitin_0 @ c0)
% 68.49/9.35 | ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X0)
% 68.49/9.35 | ~ ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @
% 68.49/9.35 (cS @
% 68.49/9.35 (sk__1 @ X1 @
% 68.49/9.35 (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))))))
% 68.49/9.35 | ~ (X1 @
% 68.49/9.35 (cS @
% 68.49/9.35 (sk__1 @ X1 @
% 68.49/9.35 (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))))))
% 68.49/9.35 | ~ (X1 @ c0))),
% 68.49/9.35 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl8])).
% 68.49/9.35 thf(zip_derived_cl586, plain,
% 68.49/9.35 (![X0 : $i, X1 : $i > $o]:
% 68.49/9.35 (~ (zip_tseitin_0 @ c0)
% 68.49/9.35 | (cNUMBER @ X0)
% 68.49/9.35 | ~ (cNUMBER @ (cS @ (sk__1 @ X1 @ cNUMBER)))
% 68.49/9.35 | ~ (X1 @ (cS @ (sk__1 @ X1 @ cNUMBER)))
% 68.49/9.35 | ~ (X1 @ c0))),
% 68.49/9.35 inference('ho_norm', [status(thm)], [zip_derived_cl490])).
% 68.49/9.35 thf(zip_derived_cl2, plain,
% 68.49/9.35 (![X0 : $i]: ( (zip_tseitin_0 @ X0) | ~ (cODD @ X0))),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 68.49/9.35 thf(zip_derived_cl13, plain,
% 68.49/9.35 (![X6 : $i]: ( (cNUMBER @ X6) | ~ (zip_tseitin_0 @ X6))),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_3])).
% 68.49/9.35 thf(zip_derived_cl1, plain,
% 68.49/9.35 (![X0 : $i]: ( (zip_tseitin_0 @ X0) | ~ (cEVEN @ X0))),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 68.49/9.35 thf(zip_derived_cl13, plain,
% 68.49/9.35 (![X6 : $i]: ( (cNUMBER @ X6) | ~ (zip_tseitin_0 @ X6))),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_3])).
% 68.49/9.35 thf(zip_derived_cl9, plain,
% 68.49/9.35 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]:
% 68.49/9.35 (~ (X2 @ c0) | ~ (X3 @ c0) | (X3 @ (sk__1 @ X3 @ X2)) | (X3 @ X4))),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_3])).
% 68.49/9.35 thf(zip_derived_cl30, plain,
% 68.49/9.35 (![X0 : $i > $o, X1 : $i > $o]:
% 68.49/9.35 (~ (X0 @ c0) | ~ (X1 @ c0) | (X1 @ (sk__1 @ X1 @ X0)))),
% 68.49/9.35 inference('condensation', [status(thm)], [zip_derived_cl9])).
% 68.49/9.35 thf(zip_derived_cl62, plain,
% 68.49/9.35 (![X0 : $i > $o]:
% 68.49/9.35 (~ (zip_tseitin_0 @ c0)
% 68.49/9.35 | (X0 @
% 68.49/9.35 (sk__1 @ X0 @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0)))))
% 68.49/9.35 | ~ (X0 @ c0))),
% 68.49/9.35 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl30])).
% 68.49/9.35 thf(zip_derived_cl151, plain,
% 68.49/9.35 (![X0 : $i > $o]:
% 68.49/9.35 (~ (zip_tseitin_0 @ c0) | (X0 @ (sk__1 @ X0 @ cNUMBER)) | ~ (X0 @ c0))),
% 68.49/9.35 inference('ho_norm', [status(thm)], [zip_derived_cl62])).
% 68.49/9.35 thf(zip_derived_cl3052, plain,
% 68.49/9.35 (![X0 : $i > $o]:
% 68.49/9.35 (~ (cEVEN @ c0) | ~ (X0 @ c0) | (X0 @ (sk__1 @ X0 @ cNUMBER)))),
% 68.49/9.35 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl151])).
% 68.49/9.35 thf(zip_derived_cl3, plain, ( (cEVEN @ c0)),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_3])).
% 68.49/9.35 thf(zip_derived_cl3124, plain,
% 68.49/9.35 (![X0 : $i > $o]: (~ (X0 @ c0) | (X0 @ (sk__1 @ X0 @ cNUMBER)))),
% 68.49/9.35 inference('demod', [status(thm)], [zip_derived_cl3052, zip_derived_cl3])).
% 68.49/9.35 thf(zip_derived_cl1, plain,
% 68.49/9.35 (![X0 : $i]: ( (zip_tseitin_0 @ X0) | ~ (cEVEN @ X0))),
% 68.49/9.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 68.49/9.35 thf(zip_derived_cl11206, plain, ($false),
% 68.49/9.35 inference('eprover', [status(thm)],
% 68.49/9.35 [zip_derived_cl15, zip_derived_cl0, zip_derived_cl4,
% 68.49/9.35 zip_derived_cl6, zip_derived_cl1010, zip_derived_cl5,
% 68.49/9.35 zip_derived_cl3, zip_derived_cl586, zip_derived_cl2,
% 68.49/9.35 zip_derived_cl13, zip_derived_cl3124, zip_derived_cl1])).
% 68.49/9.35
% 68.49/9.35 % SZS output end Refutation
% 68.49/9.35
% 68.49/9.35
% 68.49/9.35 % Terminating...
% 69.06/9.46 % Runner terminated.
% 69.06/9.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------