%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN087+2 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Qby3TgNId0 true
% Computer : n013.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 04:48:59 PM UTC 2025
% Result : Theorem 0.56s 0.73s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN087+2 : TPTP v9.2.0. Released v7.3.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Qby3TgNId0 true
% 0.13/0.34 % Computer : n013.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 12:11:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/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
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.73 % Solved by fo/fo6_bce.sh.
% 0.56/0.73 % BCE start: 45
% 0.56/0.73 % BCE eliminated: 0
% 0.56/0.73 % PE start: 45
% 0.56/0.73 logic: eq
% 0.56/0.73 % PE eliminated: 15
% 0.56/0.73 % done 36 iterations in 0.018s
% 0.56/0.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.73 % SZS output start Refutation
% 0.56/0.73 thf(r3_type, type, r3: $i > $i > $i > $o).
% 0.56/0.73 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.56/0.73 thf(r1_type, type, r1: $i > $o).
% 0.56/0.73 thf(sk__15_type, type, sk__15: $i > $i).
% 0.56/0.73 thf(sk__16_type, type, sk__16: $i > $i).
% 0.56/0.73 thf(sk__type, type, sk_: $i).
% 0.56/0.73 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.56/0.73 thf(sk__14_type, type, sk__14: $i > $i).
% 0.56/0.73 thf(r4_type, type, r4: $i > $i > $i > $o).
% 0.56/0.73 thf(sk__13_type, type, sk__13: $i > $i).
% 0.56/0.73 thf(axiom_5a, axiom,
% 0.56/0.73 (![X5:$i]:
% 0.56/0.73 ( ?[Y8:$i]:
% 0.56/0.73 ( ( ?[Y18:$i]: ( ( ( Y8 ) = ( Y18 ) ) & ( r1 @ Y18 ) ) ) &
% 0.56/0.73 ( ?[Y17:$i]: ( ( r4 @ X5 @ Y17 @ Y8 ) & ( r1 @ Y17 ) ) ) ) ))).
% 0.56/0.73 thf(zip_derived_cl34, plain,
% 0.56/0.73 (![X0 : $i]: (r4 @ X0 @ (sk__16 @ X0) @ (sk__14 @ X0))),
% 0.56/0.73 inference('cnf', [status(esa)], [axiom_5a])).
% 0.56/0.73 thf(zip_derived_cl35, plain, (![X0 : $i]: (r1 @ (sk__16 @ X0))),
% 0.56/0.73 inference('cnf', [status(esa)], [axiom_5a])).
% 0.56/0.73 thf(axiom_1, axiom,
% 0.56/0.73 (?[Y24:$i]:
% 0.56/0.73 ( ![X19:$i]:
% 0.56/0.73 ( ( ( ~( r1 @ X19 ) ) & ( ( X19 ) != ( Y24 ) ) ) |
% 0.56/0.73 ( ( r1 @ X19 ) & ( ( X19 ) = ( Y24 ) ) ) ) ))).
% 0.56/0.73 thf(zf_stmt_0, type, zip_tseitin_1 : $i > $i > $o).
% 0.56/0.73 thf(zf_stmt_1, axiom,
% 0.56/0.73 (![X19:$i,Y24:$i]:
% 0.56/0.73 ( ( zip_tseitin_1 @ X19 @ Y24 ) =>
% 0.56/0.73 ( ( ( X19 ) = ( Y24 ) ) & ( r1 @ X19 ) ) ))).
% 0.56/0.73 thf(zf_stmt_2, type, zip_tseitin_0 : $i > $i > $o).
% 0.56/0.73 thf(zf_stmt_3, axiom,
% 0.56/0.73 (![X19:$i,Y24:$i]:
% 0.56/0.73 ( ( zip_tseitin_0 @ X19 @ Y24 ) =>
% 0.56/0.73 ( ( ( X19 ) != ( Y24 ) ) & ( ~( r1 @ X19 ) ) ) ))).
% 0.56/0.73 thf(zf_stmt_4, axiom,
% 0.56/0.73 (?[Y24:$i]:
% 0.56/0.73 ( ![X19:$i]:
% 0.56/0.73 ( ( zip_tseitin_1 @ X19 @ Y24 ) | ( zip_tseitin_0 @ X19 @ Y24 ) ) ))).
% 0.56/0.73 thf(zip_derived_cl4, plain,
% 0.56/0.73 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 0.56/0.73 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.73 thf(zip_derived_cl1, plain,
% 0.56/0.73 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.56/0.73 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.73 thf(zip_derived_cl166, plain,
% 0.56/0.73 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | ~ (r1 @ X0))),
% 0.56/0.73 inference('dp-resolution', [status(thm)],
% 0.56/0.73 [zip_derived_cl4, zip_derived_cl1])).
% 0.56/0.73 thf(zip_derived_cl2, plain,
% 0.56/0.73 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 0.56/0.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.73 thf(zip_derived_cl177, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.56/0.73 inference('dp-resolution', [status(thm)],
% 0.56/0.73 [zip_derived_cl166, zip_derived_cl2])).
% 0.56/0.73 thf(zip_derived_cl221, plain, (![X0 : $i]: ((sk__16 @ X0) = (sk_))),
% 0.56/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl177])).
% 0.56/0.73 thf(zip_derived_cl36, plain, (![X0 : $i]: ((sk__14 @ X0) = (sk__15 @ X0))),
% 0.56/0.73 inference('cnf', [status(esa)], [axiom_5a])).
% 0.56/0.73 thf(zip_derived_cl37, plain, (![X0 : $i]: (r1 @ (sk__15 @ X0))),
% 0.56/0.73 inference('cnf', [status(esa)], [axiom_5a])).
% 0.56/0.73 thf(zip_derived_cl177, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.56/0.73 inference('dp-resolution', [status(thm)],
% 0.56/0.73 [zip_derived_cl166, zip_derived_cl2])).
% 0.56/0.73 thf(zip_derived_cl228, plain, (![X0 : $i]: ((sk__15 @ X0) = (sk_))),
% 0.56/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl177])).
% 0.56/0.73 thf(zip_derived_cl233, plain, (![X0 : $i]: ((sk__14 @ X0) = (sk_))),
% 0.56/0.73 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl228])).
% 0.56/0.73 thf(zip_derived_cl244, plain, (![X0 : $i]: (r4 @ X0 @ sk_ @ sk_)),
% 0.56/0.73 inference('demod', [status(thm)],
% 0.56/0.73 [zip_derived_cl34, zip_derived_cl221, zip_derived_cl233])).
% 0.56/0.73 thf(zerotimeszeroeqzero, conjecture,
% 0.56/0.73 (?[Y1:$i]:
% 0.56/0.73 ( ( ?[Y3:$i]: ( ( ( Y1 ) = ( Y3 ) ) & ( r1 @ Y3 ) ) ) &
% 0.56/0.73 ( ?[Y2:$i]: ( ( r4 @ Y2 @ Y2 @ Y1 ) & ( r1 @ Y2 ) ) ) ))).
% 0.56/0.73 thf(zf_stmt_5, negated_conjecture,
% 0.56/0.73 (~( ?[Y1:$i]:
% 0.56/0.73 ( ( ?[Y3:$i]: ( ( ( Y1 ) = ( Y3 ) ) & ( r1 @ Y3 ) ) ) &
% 0.56/0.73 ( ?[Y2:$i]: ( ( r4 @ Y2 @ Y2 @ Y1 ) & ( r1 @ Y2 ) ) ) ) )),
% 0.56/0.73 inference('cnf.neg', [status(esa)], [zerotimeszeroeqzero])).
% 0.56/0.73 thf(zip_derived_cl44, plain,
% 0.56/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.73 (~ (r1 @ X0) | ((X1) != (X0)) | ~ (r1 @ X2) | ~ (r4 @ X2 @ X2 @ X1))),
% 0.56/0.73 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.73 thf(zip_derived_cl235, plain,
% 0.56/0.73 (![X0 : $i, X1 : $i]: (~ (r4 @ X1 @ X1 @ X0) | ~ (r1 @ X1) | ~ (r1 @ X0))),
% 0.56/0.73 inference('eq_res', [status(thm)], [zip_derived_cl44])).
% 0.56/0.73 thf(zip_derived_cl245, plain, ((~ (r1 @ sk_) | ~ (r1 @ sk_))),
% 0.56/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl244, zip_derived_cl235])).
% 0.56/0.73 thf(axiom_4a, axiom,
% 0.56/0.73 (![X4:$i]:
% 0.56/0.73 ( ?[Y9:$i]:
% 0.56/0.73 ( ( ( Y9 ) = ( X4 ) ) &
% 0.56/0.73 ( ?[Y16:$i]: ( ( r3 @ X4 @ Y16 @ Y9 ) & ( r1 @ Y16 ) ) ) ) ))).
% 0.56/0.73 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 0.56/0.73 inference('cnf', [status(esa)], [axiom_4a])).
% 0.56/0.73 thf(zip_derived_cl177, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.56/0.73 inference('dp-resolution', [status(thm)],
% 0.56/0.73 [zip_derived_cl166, zip_derived_cl2])).
% 0.56/0.73 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 0.56/0.73 inference('cnf', [status(esa)], [axiom_4a])).
% 0.56/0.73 thf(zip_derived_cl215, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 0.56/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl177, zip_derived_cl32])).
% 0.56/0.73 thf(zip_derived_cl219, plain, ( (r1 @ sk_)),
% 0.56/0.73 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl215])).
% 0.56/0.73 thf(zip_derived_cl219, plain, ( (r1 @ sk_)),
% 0.56/0.73 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl215])).
% 0.56/0.73 thf(zip_derived_cl246, plain, ($false),
% 0.56/0.73 inference('demod', [status(thm)],
% 0.56/0.73 [zip_derived_cl245, zip_derived_cl219, zip_derived_cl219])).
% 0.56/0.73
% 0.56/0.73 % SZS output end Refutation
% 0.56/0.73
% 0.56/0.73
% 0.56/0.73 % Terminating...
% 0.60/0.84 % Runner terminated.
% 1.52/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------