%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN060+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.MDwvOvr15b true
% Computer : n031.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 0.50s 0.71s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUN060+2 : TPTP v9.2.0. Released v7.3.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MDwvOvr15b true
% 0.13/0.34 % Computer : n031.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 12:10:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.44/0.59 % Total configuration time : 435
% 0.44/0.59 % Estimated wc time : 1092
% 0.44/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.71 % Solved by fo/fo6_bce.sh.
% 0.50/0.71 % BCE start: 45
% 0.50/0.71 % BCE eliminated: 0
% 0.50/0.71 % PE start: 45
% 0.50/0.71 logic: eq
% 0.50/0.71 % PE eliminated: 15
% 0.50/0.71 % done 77 iterations in 0.039s
% 0.50/0.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.71 % SZS output start Refutation
% 0.50/0.71 thf(r3_type, type, r3: $i > $i > $i > $o).
% 0.50/0.71 thf(sk__1_type, type, sk__1: $i > $i).
% 0.50/0.71 thf(r2_type, type, r2: $i > $i > $o).
% 0.50/0.71 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.50/0.71 thf(sk__type, type, sk_: $i).
% 0.50/0.71 thf(r1_type, type, r1: $i > $o).
% 0.50/0.71 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 0.50/0.71 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 0.50/0.71 thf(sk__13_type, type, sk__13: $i > $i).
% 0.50/0.71 thf(sk__5_type, type, sk__5: $i > $i > $i).
% 0.50/0.71 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.50/0.71 thf(axiom_2, axiom,
% 0.50/0.71 (![X11:$i]:
% 0.50/0.71 ( ?[Y21:$i]:
% 0.50/0.71 ( ![X12:$i]:
% 0.50/0.71 ( ( ( ~( r2 @ X11 @ X12 ) ) & ( ( X12 ) != ( Y21 ) ) ) |
% 0.50/0.71 ( ( r2 @ X11 @ X12 ) & ( ( X12 ) = ( Y21 ) ) ) ) ) ))).
% 0.50/0.71 thf(zf_stmt_0, type, zip_tseitin_3 : $i > $i > $i > $o).
% 0.50/0.71 thf(zf_stmt_1, axiom,
% 0.50/0.71 (![X12:$i,Y21:$i,X11:$i]:
% 0.50/0.71 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) =>
% 0.50/0.71 ( ( ( X12 ) = ( Y21 ) ) & ( r2 @ X11 @ X12 ) ) ))).
% 0.50/0.71 thf(zf_stmt_2, type, zip_tseitin_2 : $i > $i > $i > $o).
% 0.50/0.71 thf(zf_stmt_3, axiom,
% 0.50/0.71 (![X12:$i,Y21:$i,X11:$i]:
% 0.50/0.71 ( ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) =>
% 0.50/0.71 ( ( ( X12 ) != ( Y21 ) ) & ( ~( r2 @ X11 @ X12 ) ) ) ))).
% 0.50/0.71 thf(zf_stmt_4, axiom,
% 0.50/0.71 (![X11:$i]:
% 0.50/0.71 ( ?[Y21:$i]:
% 0.50/0.71 ( ![X12:$i]:
% 0.50/0.71 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) |
% 0.50/0.71 ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) ) ) ))).
% 0.50/0.71 thf(zip_derived_cl9, plain,
% 0.50/0.71 (![X0 : $i, X1 : $i]:
% 0.50/0.71 ( (zip_tseitin_3 @ X0 @ (sk__1 @ X1) @ X1)
% 0.50/0.71 | (zip_tseitin_2 @ X0 @ (sk__1 @ X1) @ X1))),
% 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.50/0.71 thf(zip_derived_cl5, plain,
% 0.50/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.71 (((X1) != (X0)) | ~ (zip_tseitin_2 @ X1 @ X0 @ X2))),
% 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.50/0.71 thf(zip_derived_cl175, plain,
% 0.50/0.71 (![X0 : $i, X1 : $i]:
% 0.50/0.71 ( (zip_tseitin_3 @ X1 @ (sk__1 @ X0) @ X0) | ((X1) != (sk__1 @ X0)))),
% 0.50/0.71 inference('dp-resolution', [status(thm)],
% 0.50/0.71 [zip_derived_cl9, zip_derived_cl5])).
% 0.50/0.71 thf(zip_derived_cl8, plain,
% 0.50/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.71 ( (r2 @ X0 @ X1) | ~ (zip_tseitin_3 @ X1 @ X2 @ X0))),
% 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.71 thf(zip_derived_cl190, plain,
% 0.50/0.71 (![X0 : $i, X1 : $i]: (((X1) != (sk__1 @ X0)) | (r2 @ X0 @ X1))),
% 0.50/0.71 inference('dp-resolution', [status(thm)],
% 0.50/0.71 [zip_derived_cl175, zip_derived_cl8])).
% 0.50/0.71 thf(zip_derived_cl262, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 0.50/0.71 inference('eq_res', [status(thm)], [zip_derived_cl190])).
% 0.50/0.71 thf(zip_derived_cl262, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 0.50/0.71 inference('eq_res', [status(thm)], [zip_derived_cl190])).
% 0.50/0.71 thf(zip_derived_cl262, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 0.50/0.71 inference('eq_res', [status(thm)], [zip_derived_cl190])).
% 0.50/0.71 thf(zip_derived_cl262, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 0.50/0.71 inference('eq_res', [status(thm)], [zip_derived_cl190])).
% 0.50/0.71 thf(axiom_1a, axiom,
% 0.50/0.71 (![X1:$i,X8:$i]:
% 0.50/0.71 ( ?[Y4:$i]:
% 0.50/0.71 ( ( ?[Y7:$i]: ( ( r3 @ X1 @ X8 @ Y7 ) & ( r2 @ Y7 @ Y4 ) ) ) &
% 0.50/0.71 ( ?[Y5:$i]:
% 0.50/0.71 ( ( ( Y5 ) = ( Y4 ) ) &
% 0.50/0.71 ( ?[Y15:$i]: ( ( r3 @ X1 @ Y15 @ Y5 ) & ( r2 @ X8 @ Y15 ) ) ) ) ) ) ))).
% 0.50/0.71 thf(zip_derived_cl23, plain,
% 0.50/0.71 (![X0 : $i, X1 : $i]: (r3 @ X0 @ X1 @ (sk__5 @ X1 @ X0))),
% 0.50/0.71 inference('cnf', [status(esa)], [axiom_1a])).
% 0.50/0.71 thf(greq4, conjecture,
% 0.50/0.71 (?[Y1:$i,Y2:$i,Y3:$i]:
% 0.50/0.71 ( ( ?[Y4:$i]:
% 0.50/0.71 ( ( ?[Y5:$i]:
% 0.50/0.71 ( ( ?[Y6:$i]:
% 0.50/0.71 ( ( ?[Y7:$i]:
% 0.50/0.71 ( ( ?[Y8:$i]: ( ( r2 @ Y8 @ Y7 ) & ( r1 @ Y8 ) ) ) &
% 0.50/0.71 ( r2 @ Y7 @ Y6 ) ) ) &
% 0.50/0.71 ( r2 @ Y6 @ Y5 ) ) ) &
% 0.50/0.71 ( r2 @ Y5 @ Y4 ) ) ) &
% 0.50/0.71 ( r3 @ Y2 @ Y4 @ Y3 ) ) ) &
% 0.50/0.71 ( ( Y3 ) = ( Y1 ) ) ))).
% 0.50/0.71 thf(zf_stmt_5, negated_conjecture,
% 0.50/0.71 (~( ?[Y1:$i,Y2:$i,Y3:$i]:
% 0.50/0.71 ( ( ?[Y4:$i]:
% 0.50/0.71 ( ( ?[Y5:$i]:
% 0.50/0.71 ( ( ?[Y6:$i]:
% 0.50/0.71 ( ( ?[Y7:$i]:
% 0.50/0.71 ( ( ?[Y8:$i]: ( ( r2 @ Y8 @ Y7 ) & ( r1 @ Y8 ) ) ) &
% 0.50/0.71 ( r2 @ Y7 @ Y6 ) ) ) &
% 0.50/0.71 ( r2 @ Y6 @ Y5 ) ) ) &
% 0.50/0.71 ( r2 @ Y5 @ Y4 ) ) ) &
% 0.50/0.71 ( r3 @ Y2 @ Y4 @ Y3 ) ) ) &
% 0.50/0.71 ( ( Y3 ) = ( Y1 ) ) ) )),
% 0.50/0.71 inference('cnf.neg', [status(esa)], [greq4])).
% 0.50/0.71 thf(zip_derived_cl44, plain,
% 0.50/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.50/0.71 (~ (r3 @ X0 @ X1 @ X2)
% 0.50/0.71 | ~ (r2 @ X3 @ X4)
% 0.50/0.71 | ~ (r1 @ X5)
% 0.50/0.71 | ~ (r2 @ X5 @ X6)
% 0.50/0.71 | ~ (r2 @ X6 @ X3)
% 0.50/0.71 | ~ (r2 @ X4 @ X1)
% 0.50/0.71 | ((X2) != (X7)))),
% 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.50/0.71 thf(zip_derived_cl271, plain,
% 0.50/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.50/0.71 (~ (r2 @ X1 @ X0)
% 0.50/0.71 | ~ (r2 @ X3 @ X2)
% 0.50/0.71 | ~ (r2 @ X4 @ X3)
% 0.50/0.71 | ~ (r1 @ X4)
% 0.50/0.71 | ~ (r2 @ X2 @ X1)
% 0.50/0.71 | ~ (r3 @ X6 @ X0 @ X5))),
% 0.50/0.71 inference('eq_res', [status(thm)], [zip_derived_cl44])).
% 0.50/0.71 thf(zip_derived_cl277, plain,
% 0.50/0.71 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.50/0.71 (~ (r2 @ X2 @ X1)
% 0.50/0.71 | ~ (r2 @ X4 @ X3)
% 0.50/0.71 | ~ (r2 @ X5 @ X4)
% 0.50/0.71 | ~ (r1 @ X5)
% 0.50/0.71 | ~ (r2 @ X3 @ X2))),
% 0.50/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl271])).
% 0.50/0.71 thf(zip_derived_cl302, plain,
% 0.50/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.71 (~ (r2 @ X2 @ X1) | ~ (r2 @ X3 @ X2) | ~ (r1 @ X3) | ~ (r2 @ X1 @ X0))),
% 0.50/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl262, zip_derived_cl277])).
% 0.50/0.71 thf(zip_derived_cl331, plain,
% 0.50/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.71 (~ (r2 @ X1 @ X0) | ~ (r1 @ X1) | ~ (r2 @ (sk__1 @ X0) @ X2))),
% 0.50/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl262, zip_derived_cl302])).
% 0.50/0.71 thf(zip_derived_cl353, plain,
% 0.50/0.71 (![X0 : $i, X1 : $i]: (~ (r2 @ X1 @ X0) | ~ (r1 @ X1))),
% 0.50/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl262, zip_derived_cl331])).
% 0.50/0.71 thf(zip_derived_cl375, plain, (![X0 : $i]: ~ (r1 @ X0)),
% 0.50/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl262, zip_derived_cl353])).
% 0.50/0.71 thf(axiom_4a, axiom,
% 0.50/0.71 (![X4:$i]:
% 0.50/0.71 ( ?[Y9:$i]:
% 0.50/0.71 ( ( ( Y9 ) = ( X4 ) ) &
% 0.50/0.71 ( ?[Y16:$i]: ( ( r3 @ X4 @ Y16 @ Y9 ) & ( r1 @ Y16 ) ) ) ) ))).
% 0.50/0.71 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 0.50/0.71 inference('cnf', [status(esa)], [axiom_4a])).
% 0.50/0.71 thf(axiom_1, axiom,
% 0.50/0.71 (?[Y24:$i]:
% 0.50/0.71 ( ![X19:$i]:
% 0.50/0.71 ( ( ( ~( r1 @ X19 ) ) & ( ( X19 ) != ( Y24 ) ) ) |
% 0.50/0.71 ( ( r1 @ X19 ) & ( ( X19 ) = ( Y24 ) ) ) ) ))).
% 0.50/0.71 thf(zf_stmt_6, type, zip_tseitin_1 : $i > $i > $o).
% 0.50/0.71 thf(zf_stmt_7, axiom,
% 0.50/0.71 (![X19:$i,Y24:$i]:
% 0.50/0.71 ( ( zip_tseitin_1 @ X19 @ Y24 ) =>
% 0.50/0.71 ( ( ( X19 ) = ( Y24 ) ) & ( r1 @ X19 ) ) ))).
% 0.50/0.71 thf(zf_stmt_8, type, zip_tseitin_0 : $i > $i > $o).
% 0.50/0.71 thf(zf_stmt_9, axiom,
% 0.50/0.71 (![X19:$i,Y24:$i]:
% 0.50/0.71 ( ( zip_tseitin_0 @ X19 @ Y24 ) =>
% 0.50/0.71 ( ( ( X19 ) != ( Y24 ) ) & ( ~( r1 @ X19 ) ) ) ))).
% 0.50/0.71 thf(zf_stmt_10, axiom,
% 0.50/0.71 (?[Y24:$i]:
% 0.50/0.71 ( ![X19:$i]:
% 0.50/0.71 ( ( zip_tseitin_1 @ X19 @ Y24 ) | ( zip_tseitin_0 @ X19 @ Y24 ) ) ))).
% 0.50/0.71 thf(zip_derived_cl4, plain,
% 0.50/0.71 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.50/0.71 thf(zip_derived_cl1, plain,
% 0.50/0.71 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.50/0.71 thf(zip_derived_cl172, plain,
% 0.50/0.71 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | ~ (r1 @ X0))),
% 0.50/0.71 inference('dp-resolution', [status(thm)],
% 0.50/0.71 [zip_derived_cl4, zip_derived_cl1])).
% 0.50/0.71 thf(zip_derived_cl2, plain,
% 0.50/0.71 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.50/0.71 thf(zip_derived_cl183, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.50/0.71 inference('dp-resolution', [status(thm)],
% 0.50/0.71 [zip_derived_cl172, zip_derived_cl2])).
% 0.50/0.71 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 0.50/0.71 inference('cnf', [status(esa)], [axiom_4a])).
% 0.50/0.71 thf(zip_derived_cl234, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 0.50/0.71 inference('s_sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl32])).
% 0.50/0.71 thf(zip_derived_cl238, plain, ( (r1 @ sk_)),
% 0.50/0.71 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl234])).
% 0.50/0.71 thf(zip_derived_cl385, plain, ($false),
% 0.50/0.71 inference('s_sup+', [status(thm)], [zip_derived_cl375, zip_derived_cl238])).
% 0.50/0.71
% 0.50/0.71 % SZS output end Refutation
% 0.50/0.71
% 0.50/0.71
% 0.50/0.71 % Terminating...
% 0.56/0.80 % Runner terminated.
% 0.56/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------