%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN059+2 : TPTP v9.2.0. Bugfixed v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gGo1O28bRN true
% Computer : n023.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 04:48:54 PM UTC 2025
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN059+2 : TPTP v9.2.0. Bugfixed v7.4.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gGo1O28bRN true
% 0.13/0.34 % Computer : n023.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 12:12:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % Solved by fo/fo6_bce.sh.
% 0.55/0.75 % BCE start: 45
% 0.55/0.75 % BCE eliminated: 0
% 0.55/0.75 % PE start: 45
% 0.55/0.75 logic: eq
% 0.55/0.75 % PE eliminated: 13
% 0.55/0.75 % done 67 iterations in 0.030s
% 0.55/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.75 % SZS output start Refutation
% 0.55/0.75 thf(r3_type, type, r3: $i > $i > $i > $o).
% 0.55/0.75 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $i > $i > $o).
% 0.55/0.75 thf(sk__13_type, type, sk__13: $i > $i).
% 0.55/0.75 thf(sk__type, type, sk_: $i).
% 0.55/0.75 thf(sk__12_type, type, sk__12: $i > $i).
% 0.55/0.75 thf(sk__15_type, type, sk__15: $i > $i).
% 0.55/0.75 thf(r1_type, type, r1: $i > $o).
% 0.55/0.75 thf(sk__16_type, type, sk__16: $i > $i).
% 0.55/0.75 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $i > $o).
% 0.55/0.75 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.55/0.75 thf(sk__14_type, type, sk__14: $i > $i).
% 0.55/0.75 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.55/0.75 thf(sk__3_type, type, sk__3: $i > $i > $i).
% 0.55/0.75 thf(r4_type, type, r4: $i > $i > $i > $o).
% 0.55/0.75 thf(axiom_4, axiom,
% 0.55/0.75 (![X16:$i,X17:$i]:
% 0.55/0.75 ( ?[Y23:$i]:
% 0.55/0.75 ( ![X18:$i]:
% 0.55/0.75 ( ( ( ~( r4 @ X16 @ X17 @ X18 ) ) & ( ( X18 ) != ( Y23 ) ) ) |
% 0.55/0.75 ( ( r4 @ X16 @ X17 @ X18 ) & ( ( X18 ) = ( Y23 ) ) ) ) ) ))).
% 0.55/0.75 thf(zf_stmt_0, type, zip_tseitin_7 : $i > $i > $i > $i > $o).
% 0.55/0.75 thf(zf_stmt_1, axiom,
% 0.55/0.75 (![X18:$i,Y23:$i,X17:$i,X16:$i]:
% 0.55/0.75 ( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 ) =>
% 0.55/0.75 ( ( ( X18 ) = ( Y23 ) ) & ( r4 @ X16 @ X17 @ X18 ) ) ))).
% 0.55/0.75 thf(zf_stmt_2, type, zip_tseitin_6 : $i > $i > $i > $i > $o).
% 0.55/0.75 thf(zf_stmt_3, axiom,
% 0.55/0.75 (![X18:$i,Y23:$i,X17:$i,X16:$i]:
% 0.55/0.75 ( ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 ) =>
% 0.55/0.75 ( ( ( X18 ) != ( Y23 ) ) & ( ~( r4 @ X16 @ X17 @ X18 ) ) ) ))).
% 0.55/0.75 thf(zf_stmt_4, axiom,
% 0.55/0.75 (![X16:$i,X17:$i]:
% 0.55/0.75 ( ?[Y23:$i]:
% 0.55/0.75 ( ![X18:$i]:
% 0.55/0.75 ( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 ) |
% 0.55/0.75 ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 ) ) ) ))).
% 0.55/0.75 thf(zip_derived_cl19, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.75 ( (zip_tseitin_7 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2)
% 0.55/0.75 | (zip_tseitin_6 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/0.75 thf(zip_derived_cl15, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.75 (((X1) != (X0)) | ~ (zip_tseitin_6 @ X1 @ X0 @ X2 @ X3))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.75 thf(zip_derived_cl175, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.75 ( (zip_tseitin_7 @ X2 @ (sk__3 @ X1 @ X0) @ X1 @ X0)
% 0.55/0.75 | ((X2) != (sk__3 @ X1 @ X0)))),
% 0.55/0.75 inference('dp-resolution', [status(thm)],
% 0.55/0.75 [zip_derived_cl19, zip_derived_cl15])).
% 0.55/0.75 thf(zip_derived_cl18, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.75 ( (r4 @ X0 @ X1 @ X2) | ~ (zip_tseitin_7 @ X2 @ X3 @ X1 @ X0))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.75 thf(zip_derived_cl194, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.75 (((X2) != (sk__3 @ X1 @ X0)) | (r4 @ X0 @ X1 @ X2))),
% 0.55/0.75 inference('dp-resolution', [status(thm)],
% 0.55/0.75 [zip_derived_cl175, zip_derived_cl18])).
% 0.55/0.75 thf(zip_derived_cl271, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]: (r4 @ X0 @ X1 @ (sk__3 @ X1 @ X0))),
% 0.55/0.75 inference('eq_res', [status(thm)], [zip_derived_cl194])).
% 0.55/0.75 thf(axiom_5a, axiom,
% 0.55/0.75 (![X5:$i]:
% 0.55/0.75 ( ?[Y8:$i]:
% 0.55/0.75 ( ( ?[Y18:$i]: ( ( ( Y8 ) = ( Y18 ) ) & ( r1 @ Y18 ) ) ) &
% 0.55/0.75 ( ?[Y17:$i]: ( ( r4 @ X5 @ Y17 @ Y8 ) & ( r1 @ Y17 ) ) ) ) ))).
% 0.55/0.75 thf(zip_derived_cl34, plain,
% 0.55/0.75 (![X0 : $i]: (r4 @ X0 @ (sk__16 @ X0) @ (sk__14 @ X0))),
% 0.55/0.75 inference('cnf', [status(esa)], [axiom_5a])).
% 0.55/0.75 thf(zip_derived_cl35, plain, (![X0 : $i]: (r1 @ (sk__16 @ X0))),
% 0.55/0.75 inference('cnf', [status(esa)], [axiom_5a])).
% 0.55/0.75 thf(axiom_1, axiom,
% 0.55/0.75 (?[Y24:$i]:
% 0.55/0.75 ( ![X19:$i]:
% 0.55/0.75 ( ( ( ~( r1 @ X19 ) ) & ( ( X19 ) != ( Y24 ) ) ) |
% 0.55/0.75 ( ( r1 @ X19 ) & ( ( X19 ) = ( Y24 ) ) ) ) ))).
% 0.55/0.75 thf(zf_stmt_5, type, zip_tseitin_1 : $i > $i > $o).
% 0.55/0.75 thf(zf_stmt_6, axiom,
% 0.55/0.75 (![X19:$i,Y24:$i]:
% 0.55/0.75 ( ( zip_tseitin_1 @ X19 @ Y24 ) =>
% 0.55/0.75 ( ( ( X19 ) = ( Y24 ) ) & ( r1 @ X19 ) ) ))).
% 0.55/0.75 thf(zf_stmt_7, type, zip_tseitin_0 : $i > $i > $o).
% 0.55/0.75 thf(zf_stmt_8, axiom,
% 0.55/0.75 (![X19:$i,Y24:$i]:
% 0.55/0.75 ( ( zip_tseitin_0 @ X19 @ Y24 ) =>
% 0.55/0.75 ( ( ( X19 ) != ( Y24 ) ) & ( ~( r1 @ X19 ) ) ) ))).
% 0.55/0.75 thf(zf_stmt_9, axiom,
% 0.55/0.75 (?[Y24:$i]:
% 0.55/0.75 ( ![X19:$i]:
% 0.55/0.75 ( ( zip_tseitin_1 @ X19 @ Y24 ) | ( zip_tseitin_0 @ X19 @ Y24 ) ) ))).
% 0.55/0.75 thf(zip_derived_cl4, plain,
% 0.55/0.75 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.55/0.75 thf(zip_derived_cl1, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.55/0.75 thf(zip_derived_cl168, plain,
% 0.55/0.75 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | ~ (r1 @ X0))),
% 0.55/0.75 inference('dp-resolution', [status(thm)],
% 0.55/0.75 [zip_derived_cl4, zip_derived_cl1])).
% 0.55/0.75 thf(zip_derived_cl2, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.55/0.75 thf(zip_derived_cl179, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.55/0.75 inference('dp-resolution', [status(thm)],
% 0.55/0.75 [zip_derived_cl168, zip_derived_cl2])).
% 0.55/0.75 thf(zip_derived_cl226, plain, (![X0 : $i]: ((sk__16 @ X0) = (sk_))),
% 0.55/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl179])).
% 0.55/0.75 thf(zip_derived_cl37, plain, (![X0 : $i]: (r1 @ (sk__15 @ X0))),
% 0.55/0.75 inference('cnf', [status(esa)], [axiom_5a])).
% 0.55/0.75 thf(zip_derived_cl36, plain, (![X0 : $i]: ((sk__14 @ X0) = (sk__15 @ X0))),
% 0.55/0.75 inference('cnf', [status(esa)], [axiom_5a])).
% 0.55/0.75 thf(zip_derived_cl232, plain, (![X0 : $i]: (r1 @ (sk__14 @ X0))),
% 0.55/0.75 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl36])).
% 0.55/0.75 thf(zip_derived_cl179, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.55/0.75 inference('dp-resolution', [status(thm)],
% 0.55/0.75 [zip_derived_cl168, zip_derived_cl2])).
% 0.55/0.75 thf(zip_derived_cl233, plain, (![X0 : $i]: ((sk__14 @ X0) = (sk_))),
% 0.55/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl232, zip_derived_cl179])).
% 0.55/0.75 thf(zip_derived_cl265, plain, (![X0 : $i]: (r4 @ X0 @ sk_ @ sk_)),
% 0.55/0.75 inference('demod', [status(thm)],
% 0.55/0.75 [zip_derived_cl34, zip_derived_cl226, zip_derived_cl233])).
% 0.55/0.75 thf(fermattothepoweroftwo, conjecture,
% 0.55/0.75 (?[Y1:$i,Y3:$i,Y2:$i,Y4:$i]:
% 0.55/0.75 ( ( ?[Y6:$i]:
% 0.55/0.75 ( ( ?[Y7:$i]: ( ( r3 @ Y7 @ Y6 @ Y4 ) & ( r4 @ Y1 @ Y1 @ Y7 ) ) ) &
% 0.55/0.75 ( r4 @ Y3 @ Y3 @ Y6 ) ) ) &
% 0.55/0.75 ( ?[Y5:$i]: ( ( ( Y4 ) = ( Y5 ) ) & ( r4 @ Y2 @ Y2 @ Y5 ) ) ) ))).
% 0.55/0.75 thf(zf_stmt_10, negated_conjecture,
% 0.55/0.75 (~( ?[Y1:$i,Y3:$i,Y2:$i,Y4:$i]:
% 0.55/0.75 ( ( ?[Y6:$i]:
% 0.55/0.75 ( ( ?[Y7:$i]: ( ( r3 @ Y7 @ Y6 @ Y4 ) & ( r4 @ Y1 @ Y1 @ Y7 ) ) ) &
% 0.55/0.75 ( r4 @ Y3 @ Y3 @ Y6 ) ) ) &
% 0.55/0.75 ( ?[Y5:$i]: ( ( ( Y4 ) = ( Y5 ) ) & ( r4 @ Y2 @ Y2 @ Y5 ) ) ) ) )),
% 0.55/0.75 inference('cnf.neg', [status(esa)], [fermattothepoweroftwo])).
% 0.55/0.75 thf(zip_derived_cl44, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.55/0.75 (~ (r4 @ X0 @ X0 @ X1)
% 0.55/0.75 | ~ (r3 @ X2 @ X1 @ X3)
% 0.55/0.75 | ~ (r4 @ X4 @ X4 @ X2)
% 0.55/0.75 | ~ (r4 @ X5 @ X5 @ X6)
% 0.55/0.75 | ((X3) != (X6)))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.55/0.75 thf(zip_derived_cl269, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.55/0.75 (~ (r4 @ X1 @ X1 @ X0)
% 0.55/0.75 | ~ (r4 @ X3 @ X3 @ X2)
% 0.55/0.75 | ~ (r3 @ X2 @ X4 @ X0)
% 0.55/0.75 | ~ (r4 @ X5 @ X5 @ X4))),
% 0.55/0.75 inference('eq_res', [status(thm)], [zip_derived_cl44])).
% 0.55/0.75 thf(zip_derived_cl278, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.75 (~ (r4 @ X3 @ X3 @ X2) | ~ (r3 @ X0 @ X2 @ X0) | ~ (r4 @ X1 @ X1 @ X0))),
% 0.55/0.75 inference('eq_fact', [status(thm)], [zip_derived_cl269])).
% 0.55/0.75 thf(zip_derived_cl302, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]: (~ (r3 @ X0 @ sk_ @ X0) | ~ (r4 @ X1 @ X1 @ X0))),
% 0.55/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl265, zip_derived_cl278])).
% 0.55/0.75 thf(axiom_4a, axiom,
% 0.55/0.75 (![X4:$i]:
% 0.55/0.75 ( ?[Y9:$i]:
% 0.55/0.75 ( ( ( Y9 ) = ( X4 ) ) &
% 0.55/0.75 ( ?[Y16:$i]: ( ( r3 @ X4 @ Y16 @ Y9 ) & ( r1 @ Y16 ) ) ) ) ))).
% 0.55/0.75 thf(zip_derived_cl31, plain,
% 0.55/0.75 (![X0 : $i]: (r3 @ X0 @ (sk__13 @ X0) @ (sk__12 @ X0))),
% 0.55/0.75 inference('cnf', [status(esa)], [axiom_4a])).
% 0.55/0.75 thf(zip_derived_cl179, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.55/0.75 inference('dp-resolution', [status(thm)],
% 0.55/0.75 [zip_derived_cl168, zip_derived_cl2])).
% 0.55/0.75 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 0.55/0.75 inference('cnf', [status(esa)], [axiom_4a])).
% 0.55/0.75 thf(zip_derived_cl220, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 0.55/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl32])).
% 0.55/0.75 thf(zip_derived_cl33, plain, (![X0 : $i]: ((sk__12 @ X0) = (X0))),
% 0.55/0.75 inference('cnf', [status(esa)], [axiom_4a])).
% 0.55/0.75 thf(zip_derived_cl263, plain, (![X0 : $i]: (r3 @ X0 @ sk_ @ X0)),
% 0.55/0.75 inference('demod', [status(thm)],
% 0.55/0.75 [zip_derived_cl31, zip_derived_cl220, zip_derived_cl33])).
% 0.55/0.75 thf(zip_derived_cl304, plain, (![X0 : $i, X1 : $i]: ~ (r4 @ X1 @ X1 @ X0)),
% 0.55/0.75 inference('demod', [status(thm)], [zip_derived_cl302, zip_derived_cl263])).
% 0.55/0.75 thf(zip_derived_cl313, plain, ($false),
% 0.55/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl271, zip_derived_cl304])).
% 0.55/0.75
% 0.55/0.75 % SZS output end Refutation
% 0.55/0.75
% 0.55/0.75
% 0.55/0.75 % Terminating...
% 0.75/0.86 % Runner terminated.
% 0.75/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------