%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN076+2 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oFJNWmIk7S true
% Computer : n018.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 04:48:57 PM UTC 2025
% Result : Theorem 0.48s 0.76s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUN076+2 : TPTP v9.2.0. Released v7.3.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oFJNWmIk7S true
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 12:11:08 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.47/0.58 % Total configuration time : 435
% 0.47/0.58 % Estimated wc time : 1092
% 0.47/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.76 % Solved by fo/fo1_av.sh.
% 0.48/0.76 % done 69 iterations in 0.041s
% 0.48/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.76 % SZS output start Refutation
% 0.48/0.76 thf(r3_type, type, r3: $i > $i > $i > $o).
% 0.48/0.76 thf(sk__12_type, type, sk__12: $i > $i).
% 0.48/0.76 thf(r2_type, type, r2: $i > $i > $o).
% 0.48/0.76 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.48/0.76 thf(sk__7_type, type, sk__7: $i > $i > $i).
% 0.48/0.76 thf(sk__type, type, sk_: $i).
% 0.48/0.76 thf(r1_type, type, r1: $i > $o).
% 0.48/0.76 thf(sk__14_type, type, sk__14: $i > $i).
% 0.48/0.76 thf(sk__13_type, type, sk__13: $i > $i).
% 0.48/0.76 thf(sk__15_type, type, sk__15: $i > $i).
% 0.48/0.76 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.48/0.76 thf(sk__16_type, type, sk__16: $i > $i).
% 0.48/0.76 thf(r4_type, type, r4: $i > $i > $i > $o).
% 0.48/0.76 thf(axiom_1a, axiom,
% 0.48/0.76 (![X1:$i,X8:$i]:
% 0.48/0.76 ( ?[Y4:$i]:
% 0.48/0.76 ( ( ?[Y7:$i]: ( ( r3 @ X1 @ X8 @ Y7 ) & ( r2 @ Y7 @ Y4 ) ) ) &
% 0.48/0.76 ( ?[Y5:$i]:
% 0.48/0.76 ( ( ( Y5 ) = ( Y4 ) ) &
% 0.48/0.76 ( ?[Y15:$i]: ( ( r3 @ X1 @ Y15 @ Y5 ) & ( r2 @ X8 @ Y15 ) ) ) ) ) ) ))).
% 0.48/0.76 thf(zip_derived_cl21, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__7 @ X0 @ X1))),
% 0.48/0.76 inference('cnf', [status(esa)], [axiom_1a])).
% 0.48/0.76 thf(axiom_5a, axiom,
% 0.48/0.76 (![X5:$i]:
% 0.48/0.76 ( ?[Y8:$i]:
% 0.48/0.76 ( ( ?[Y18:$i]: ( ( ( Y8 ) = ( Y18 ) ) & ( r1 @ Y18 ) ) ) &
% 0.48/0.76 ( ?[Y17:$i]: ( ( r4 @ X5 @ Y17 @ Y8 ) & ( r1 @ Y17 ) ) ) ) ))).
% 0.48/0.76 thf(zip_derived_cl34, plain,
% 0.48/0.76 (![X0 : $i]: (r4 @ X0 @ (sk__16 @ X0) @ (sk__14 @ X0))),
% 0.48/0.76 inference('cnf', [status(esa)], [axiom_5a])).
% 0.48/0.76 thf(axiom_1, axiom,
% 0.48/0.76 (?[Y24:$i]:
% 0.48/0.76 ( ![X19:$i]:
% 0.48/0.76 ( ( ( ~( r1 @ X19 ) ) & ( ( X19 ) != ( Y24 ) ) ) |
% 0.48/0.76 ( ( r1 @ X19 ) & ( ( X19 ) = ( Y24 ) ) ) ) ))).
% 0.48/0.76 thf(zf_stmt_0, type, zip_tseitin_1 : $i > $i > $o).
% 0.48/0.76 thf(zf_stmt_1, axiom,
% 0.48/0.76 (![X19:$i,Y24:$i]:
% 0.48/0.76 ( ( zip_tseitin_1 @ X19 @ Y24 ) =>
% 0.48/0.76 ( ( ( X19 ) = ( Y24 ) ) & ( r1 @ X19 ) ) ))).
% 0.48/0.76 thf(zf_stmt_2, type, zip_tseitin_0 : $i > $i > $o).
% 0.48/0.76 thf(zf_stmt_3, axiom,
% 0.48/0.76 (![X19:$i,Y24:$i]:
% 0.48/0.76 ( ( zip_tseitin_0 @ X19 @ Y24 ) =>
% 0.48/0.76 ( ( ( X19 ) != ( Y24 ) ) & ( ~( r1 @ X19 ) ) ) ))).
% 0.48/0.76 thf(zf_stmt_4, axiom,
% 0.48/0.76 (?[Y24:$i]:
% 0.48/0.76 ( ![X19:$i]:
% 0.48/0.76 ( ( zip_tseitin_1 @ X19 @ Y24 ) | ( zip_tseitin_0 @ X19 @ Y24 ) ) ))).
% 0.48/0.76 thf(zip_derived_cl4, plain,
% 0.48/0.76 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 0.48/0.76 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.48/0.76 thf(zip_derived_cl2, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 0.48/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/0.76 thf(zip_derived_cl47, plain,
% 0.48/0.76 (![X0 : $i]: ( (zip_tseitin_0 @ X0 @ sk_) | ((X0) = (sk_)))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.48/0.76 thf(zip_derived_cl1, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.48/0.76 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.48/0.76 thf(zip_derived_cl52, plain, (![X0 : $i]: (((X0) = (sk_)) | ~ (r1 @ X0))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl1])).
% 0.48/0.76 thf(zip_derived_cl35, plain, (![X0 : $i]: (r1 @ (sk__16 @ X0))),
% 0.48/0.76 inference('cnf', [status(esa)], [axiom_5a])).
% 0.48/0.76 thf(zip_derived_cl55, plain, (![X0 : $i]: ((sk__16 @ X0) = (sk_))),
% 0.48/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl35])).
% 0.48/0.76 thf(zip_derived_cl52, plain, (![X0 : $i]: (((X0) = (sk_)) | ~ (r1 @ X0))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl1])).
% 0.48/0.76 thf(zip_derived_cl37, plain, (![X0 : $i]: (r1 @ (sk__15 @ X0))),
% 0.48/0.76 inference('cnf', [status(esa)], [axiom_5a])).
% 0.48/0.76 thf(zip_derived_cl36, plain, (![X0 : $i]: ((sk__14 @ X0) = (sk__15 @ X0))),
% 0.48/0.76 inference('cnf', [status(esa)], [axiom_5a])).
% 0.48/0.76 thf(zip_derived_cl46, plain, (![X0 : $i]: (r1 @ (sk__14 @ X0))),
% 0.48/0.76 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl36])).
% 0.48/0.76 thf(zip_derived_cl54, plain, (![X0 : $i]: ((sk__14 @ X0) = (sk_))),
% 0.48/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl46])).
% 0.48/0.76 thf(zip_derived_cl89, plain, (![X0 : $i]: (r4 @ X0 @ sk_ @ sk_)),
% 0.48/0.76 inference('demod', [status(thm)],
% 0.48/0.76 [zip_derived_cl34, zip_derived_cl55, zip_derived_cl54])).
% 0.48/0.76 thf(thereexistsanevennumber, conjecture,
% 0.48/0.76 (?[Y1:$i,Y2:$i,Y3:$i]:
% 0.48/0.76 ( ( ?[Y5:$i]: ( ( ( Y5 ) = ( Y1 ) ) & ( r3 @ Y2 @ Y3 @ Y5 ) ) ) &
% 0.48/0.76 ( ?[Y4:$i]:
% 0.48/0.76 ( ( ?[Y6:$i]:
% 0.48/0.76 ( ( ?[Y7:$i]:
% 0.48/0.76 ( ( ?[Y8:$i]: ( ( r2 @ Y8 @ Y7 ) & ( r1 @ Y8 ) ) ) &
% 0.48/0.76 ( r2 @ Y7 @ Y6 ) ) ) &
% 0.48/0.76 ( r4 @ Y6 @ Y2 @ Y4 ) ) ) &
% 0.48/0.76 ( ( Y4 ) = ( Y1 ) ) ) ) ))).
% 0.48/0.76 thf(zf_stmt_5, negated_conjecture,
% 0.48/0.76 (~( ?[Y1:$i,Y2:$i,Y3:$i]:
% 0.48/0.76 ( ( ?[Y5:$i]: ( ( ( Y5 ) = ( Y1 ) ) & ( r3 @ Y2 @ Y3 @ Y5 ) ) ) &
% 0.48/0.76 ( ?[Y4:$i]:
% 0.48/0.76 ( ( ?[Y6:$i]:
% 0.48/0.76 ( ( ?[Y7:$i]:
% 0.48/0.76 ( ( ?[Y8:$i]: ( ( r2 @ Y8 @ Y7 ) & ( r1 @ Y8 ) ) ) &
% 0.48/0.76 ( r2 @ Y7 @ Y6 ) ) ) &
% 0.48/0.76 ( r4 @ Y6 @ Y2 @ Y4 ) ) ) &
% 0.48/0.76 ( ( Y4 ) = ( Y1 ) ) ) ) ) )),
% 0.48/0.76 inference('cnf.neg', [status(esa)], [thereexistsanevennumber])).
% 0.48/0.76 thf(zip_derived_cl44, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.48/0.76 (((X1) != (X0))
% 0.48/0.76 | ~ (r2 @ X2 @ X3)
% 0.48/0.76 | ~ (r2 @ X4 @ X2)
% 0.48/0.76 | ~ (r1 @ X4)
% 0.48/0.76 | ~ (r4 @ X3 @ X5 @ X1)
% 0.48/0.76 | ~ (r3 @ X5 @ X6 @ X7)
% 0.48/0.76 | ((X7) != (X0)))),
% 0.48/0.76 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.48/0.76 thf(zip_derived_cl66, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.48/0.76 (((X0) != (X1))
% 0.48/0.76 | ~ (r3 @ X3 @ X2 @ X0)
% 0.48/0.76 | ~ (r4 @ X4 @ X3 @ X1)
% 0.48/0.76 | ~ (r1 @ X5)
% 0.48/0.76 | ~ (r2 @ X5 @ X6)
% 0.48/0.76 | ~ (r2 @ X6 @ X4))),
% 0.48/0.76 inference('eq_res', [status(thm)], [zip_derived_cl44])).
% 0.48/0.76 thf(zip_derived_cl87, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.48/0.76 (~ (r2 @ X1 @ X0)
% 0.48/0.76 | ~ (r2 @ X2 @ X1)
% 0.48/0.76 | ~ (r1 @ X2)
% 0.48/0.76 | ~ (r4 @ X0 @ X4 @ X3)
% 0.48/0.76 | ~ (r3 @ X4 @ X5 @ X3))),
% 0.48/0.76 inference('eq_res', [status(thm)], [zip_derived_cl66])).
% 0.48/0.76 thf(zip_derived_cl90, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 (~ (r2 @ X1 @ X0)
% 0.48/0.76 | ~ (r2 @ X2 @ X1)
% 0.48/0.76 | ~ (r1 @ X2)
% 0.48/0.76 | ~ (r3 @ sk_ @ X3 @ sk_))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl87])).
% 0.48/0.76 thf(zip_derived_cl92, plain,
% 0.48/0.76 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.76 (~ (r1 @ X2) | ~ (r2 @ X1 @ X0) | ~ (r2 @ X2 @ X1)))
% 0.48/0.76 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.76 (~ (r1 @ X2) | ~ (r2 @ X1 @ X0) | ~ (r2 @ X2 @ X1))))),
% 0.48/0.76 inference('split', [status(esa)], [zip_derived_cl90])).
% 0.48/0.76 thf(zip_derived_cl91, plain,
% 0.48/0.76 ((![X3 : $i]: ~ (r3 @ sk_ @ X3 @ sk_))
% 0.48/0.76 <= ((![X3 : $i]: ~ (r3 @ sk_ @ X3 @ sk_)))),
% 0.48/0.76 inference('split', [status(esa)], [zip_derived_cl90])).
% 0.48/0.76 thf(axiom_4a, axiom,
% 0.48/0.76 (![X4:$i]:
% 0.48/0.76 ( ?[Y9:$i]:
% 0.48/0.76 ( ( ( Y9 ) = ( X4 ) ) &
% 0.48/0.76 ( ?[Y16:$i]: ( ( r3 @ X4 @ Y16 @ Y9 ) & ( r1 @ Y16 ) ) ) ) ))).
% 0.48/0.76 thf(zip_derived_cl31, plain,
% 0.48/0.76 (![X0 : $i]: (r3 @ X0 @ (sk__13 @ X0) @ (sk__12 @ X0))),
% 0.48/0.76 inference('cnf', [status(esa)], [axiom_4a])).
% 0.48/0.76 thf(zip_derived_cl52, plain, (![X0 : $i]: (((X0) = (sk_)) | ~ (r1 @ X0))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl1])).
% 0.48/0.76 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 0.48/0.76 inference('cnf', [status(esa)], [axiom_4a])).
% 0.48/0.76 thf(zip_derived_cl53, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 0.48/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl32])).
% 0.48/0.76 thf(zip_derived_cl33, plain, (![X0 : $i]: ((sk__12 @ X0) = (X0))),
% 0.48/0.76 inference('cnf', [status(esa)], [axiom_4a])).
% 0.48/0.76 thf(zip_derived_cl84, plain, (![X0 : $i]: (r3 @ X0 @ sk_ @ X0)),
% 0.48/0.76 inference('demod', [status(thm)],
% 0.48/0.76 [zip_derived_cl31, zip_derived_cl53, zip_derived_cl33])).
% 0.48/0.76 thf('0', plain, (~ (![X3 : $i]: ~ (r3 @ sk_ @ X3 @ sk_))),
% 0.48/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl84])).
% 0.48/0.76 thf('1', plain,
% 0.48/0.76 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.76 (~ (r1 @ X2) | ~ (r2 @ X1 @ X0) | ~ (r2 @ X2 @ X1))) |
% 0.48/0.76 (![X3 : $i]: ~ (r3 @ sk_ @ X3 @ sk_))),
% 0.48/0.76 inference('split', [status(esa)], [zip_derived_cl90])).
% 0.48/0.76 thf('2', plain,
% 0.48/0.76 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.76 (~ (r1 @ X2) | ~ (r2 @ X1 @ X0) | ~ (r2 @ X2 @ X1)))),
% 0.48/0.76 inference('sat_resolution*', [status(thm)], ['0', '1'])).
% 0.48/0.76 thf(zip_derived_cl95, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.76 (~ (r1 @ X2) | ~ (r2 @ X1 @ X0) | ~ (r2 @ X2 @ X1))),
% 0.48/0.76 inference('simpl_trail', [status(thm)], [zip_derived_cl92, '2'])).
% 0.48/0.76 thf(zip_derived_cl96, plain,
% 0.48/0.76 (![X1 : $i, X2 : $i]: (~ (r1 @ X2) | ~ (r2 @ X2 @ X1))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl95])).
% 0.48/0.76 thf(zip_derived_cl21, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__7 @ X0 @ X1))),
% 0.48/0.76 inference('cnf', [status(esa)], [axiom_1a])).
% 0.48/0.76 thf(zip_derived_cl99, plain, (![X1 : $i]: ~ (r1 @ X1)),
% 0.48/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl21])).
% 0.48/0.76 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 0.48/0.76 inference('cnf', [status(esa)], [axiom_4a])).
% 0.48/0.76 thf(zip_derived_cl53, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 0.48/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl32])).
% 0.48/0.76 thf(zip_derived_cl59, plain, ( (r1 @ sk_)),
% 0.48/0.76 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl53])).
% 0.48/0.76 thf(zip_derived_cl107, plain, ($false),
% 0.48/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl59])).
% 0.48/0.76
% 0.48/0.76 % SZS output end Refutation
% 0.48/0.76
% 0.48/0.76
% 0.48/0.76 % Terminating...
% 0.50/0.80 % Runner terminated.
% 0.50/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------