%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL098-2 : TPTP v9.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fwxzhNVF5Y true
% Computer : n017.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 04:30:24 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.80s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COL098-2 : TPTP v9.2.0. Released v2.7.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fwxzhNVF5Y true
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 1 11:02:38 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.58/0.80 % Solved by fo/fo3_bce.sh.
% 0.58/0.80 % BCE start: 15
% 0.58/0.80 % BCE eliminated: 0
% 0.58/0.80 % PE start: 15
% 0.58/0.80 logic: eq
% 0.58/0.80 % PE eliminated: 1
% 0.58/0.80 % done 74 iterations in 0.054s
% 0.58/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.80 % SZS output start Refutation
% 0.58/0.80 thf(z_type, type, z: $i).
% 0.58/0.80 thf(sk1_type, type, sk1: $i > $i > $i > $i).
% 0.58/0.80 thf(sk3_type, type, sk3: $i).
% 0.58/0.80 thf(trans_type, type, trans: $i > $o).
% 0.58/0.80 thf(sk2_type, type, sk2: $i > $i).
% 0.58/0.80 thf(pair_type, type, pair: $i > $i > $i).
% 0.58/0.80 thf(member_type, type, member: $i > $i > $o).
% 0.58/0.80 thf(y_type, type, y: $i).
% 0.58/0.80 thf(r_type, type, r: $i).
% 0.58/0.80 thf(trancl_type, type, trancl: $i > $i).
% 0.58/0.80 thf(x_type, type, x: $i).
% 0.58/0.80 thf(diamond_strip_lemmaD_2h6, axiom,
% 0.58/0.80 (( ~( member @ ( pair @ x @ YP ) @ r ) ) |
% 0.58/0.80 ( member @ ( pair @ y @ ( sk2 @ YP ) ) @ r ))).
% 0.58/0.80 thf(zip_derived_cl12, plain,
% 0.58/0.80 (![X0 : $i]:
% 0.58/0.80 (~ (member @ (pair @ x @ X0) @ r)
% 0.58/0.80 | (member @ (pair @ y @ (sk2 @ X0)) @ r))),
% 0.58/0.80 inference('cnf', [status(esa)], [diamond_strip_lemmaD_2h6])).
% 0.58/0.80 thf(diamond_strip_lemmaD_2h2, axiom,
% 0.58/0.80 (( ~( member @ ( pair @ X @ Y ) @ r ) ) |
% 0.58/0.80 ( ~( member @ ( pair @ X @ YP ) @ r ) ) |
% 0.58/0.80 ( member @ ( pair @ YP @ ( sk1 @ X @ Y @ YP ) ) @ r ))).
% 0.58/0.80 thf(zip_derived_cl8, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 (~ (member @ (pair @ X0 @ X1) @ r)
% 0.58/0.80 | ~ (member @ (pair @ X0 @ X2) @ r)
% 0.58/0.80 | (member @ (pair @ X2 @ (sk1 @ X0 @ X1 @ X2)) @ r))),
% 0.58/0.80 inference('cnf', [status(esa)], [diamond_strip_lemmaD_2h2])).
% 0.58/0.80 thf(diamond_strip_lemmaD_2c1, conjecture,
% 0.58/0.80 (~( member @ ( pair @ x @ sk3 ) @ r ))).
% 0.58/0.80 thf(zf_stmt_0, negated_conjecture, (member @ ( pair @ x @ sk3 ) @ r),
% 0.58/0.80 inference('cnf.neg', [status(esa)], [diamond_strip_lemmaD_2c1])).
% 0.58/0.80 thf(zip_derived_cl14, plain, ( (member @ (pair @ x @ sk3) @ r)),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.80 thf(diamond_strip_lemmaD_2h5, axiom,
% 0.58/0.80 (( ~( member @ ( pair @ x @ YP ) @ r ) ) |
% 0.58/0.80 ( member @ ( pair @ YP @ ( sk2 @ YP ) ) @ ( trancl @ r ) ))).
% 0.58/0.80 thf(zip_derived_cl11, plain,
% 0.58/0.80 (![X0 : $i]:
% 0.58/0.80 (~ (member @ (pair @ x @ X0) @ r)
% 0.58/0.80 | (member @ (pair @ X0 @ (sk2 @ X0)) @ (trancl @ r)))),
% 0.58/0.80 inference('cnf', [status(esa)], [diamond_strip_lemmaD_2h5])).
% 0.58/0.80 thf(zip_derived_cl64, plain,
% 0.58/0.80 ( (member @ (pair @ sk3 @ (sk2 @ sk3)) @ (trancl @ r))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl11])).
% 0.58/0.80 thf(r_into_trancl, axiom,
% 0.58/0.80 (( ~( member @ ( pair @ A @ B ) @ R ) ) |
% 0.58/0.80 ( member @ ( pair @ A @ B ) @ ( trancl @ R ) ))).
% 0.58/0.80 thf(zip_derived_cl4, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 (~ (member @ (pair @ X0 @ X1) @ X2)
% 0.58/0.80 | (member @ (pair @ X0 @ X1) @ (trancl @ X2)))),
% 0.58/0.80 inference('cnf', [status(esa)], [r_into_trancl])).
% 0.58/0.80 thf(trans_trancl, axiom, (trans @ ( trancl @ R ))).
% 0.58/0.80 thf(zip_derived_cl5, plain, (![X0 : $i]: (trans @ (trancl @ X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [trans_trancl])).
% 0.58/0.80 thf(transD, axiom,
% 0.58/0.80 (( ~( trans @ R ) ) | ( ~( member @ ( pair @ A @ B ) @ R ) ) |
% 0.58/0.80 ( ~( member @ ( pair @ B @ C ) @ R ) ) | ( member @ ( pair @ A @ C ) @ R ))).
% 0.58/0.80 thf(zip_derived_cl6, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.80 (~ (trans @ X0)
% 0.58/0.80 | ~ (member @ (pair @ X1 @ X2) @ X0)
% 0.58/0.80 | ~ (member @ (pair @ X2 @ X3) @ X0)
% 0.58/0.80 | (member @ (pair @ X1 @ X3) @ X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [transD])).
% 0.58/0.80 thf(zip_derived_cl59, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.80 ( (member @ (pair @ X2 @ X3) @ (trancl @ X0))
% 0.58/0.80 | ~ (member @ (pair @ X1 @ X3) @ (trancl @ X0))
% 0.58/0.80 | ~ (member @ (pair @ X2 @ X1) @ (trancl @ X0)))),
% 0.58/0.80 inference('dp-resolution', [status(thm)],
% 0.58/0.80 [zip_derived_cl5, zip_derived_cl6])).
% 0.58/0.80 thf(zip_derived_cl70, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.80 (~ (member @ (pair @ X2 @ X1) @ X0)
% 0.58/0.80 | ~ (member @ (pair @ X3 @ X2) @ (trancl @ X0))
% 0.58/0.80 | (member @ (pair @ X3 @ X1) @ (trancl @ X0)))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl59])).
% 0.58/0.80 thf(zip_derived_cl129, plain,
% 0.58/0.80 (![X0 : $i]:
% 0.58/0.80 ( (member @ (pair @ sk3 @ X0) @ (trancl @ r))
% 0.58/0.80 | ~ (member @ (pair @ (sk2 @ sk3) @ X0) @ r))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl70])).
% 0.58/0.80 thf(diamond_strip_lemmaD_2h1, axiom,
% 0.58/0.80 (( ~( member @ ( pair @ X @ Y ) @ r ) ) |
% 0.58/0.80 ( ~( member @ ( pair @ X @ YP ) @ r ) ) |
% 0.58/0.80 ( member @ ( pair @ Y @ ( sk1 @ X @ Y @ YP ) ) @ r ))).
% 0.58/0.80 thf(zip_derived_cl7, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 (~ (member @ (pair @ X0 @ X1) @ r)
% 0.58/0.80 | ~ (member @ (pair @ X0 @ X2) @ r)
% 0.58/0.80 | (member @ (pair @ X1 @ (sk1 @ X0 @ X1 @ X2)) @ r))),
% 0.58/0.80 inference('cnf', [status(esa)], [diamond_strip_lemmaD_2h1])).
% 0.58/0.80 thf(zip_derived_cl139, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ( (member @ (pair @ sk3 @ (sk1 @ X1 @ (sk2 @ sk3) @ X0)) @
% 0.58/0.80 (trancl @ r))
% 0.58/0.80 | ~ (member @ (pair @ X1 @ X0) @ r)
% 0.58/0.80 | ~ (member @ (pair @ X1 @ (sk2 @ sk3)) @ r))),
% 0.58/0.80 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl7])).
% 0.58/0.80 thf(diamond_strip_lemmaD_2c2, conjecture,
% 0.58/0.80 (~( ( ~( member @ ( pair @ z @ ZA ) @ r ) ) |
% 0.58/0.80 ( ~( member @ ( pair @ sk3 @ ZA ) @ ( trancl @ r ) ) ) ))).
% 0.58/0.80 thf(zf_stmt_1, negated_conjecture,
% 0.58/0.80 (( ~( member @ ( pair @ z @ ZA ) @ r ) ) |
% 0.58/0.80 ( ~( member @ ( pair @ sk3 @ ZA ) @ ( trancl @ r ) ) )),
% 0.58/0.80 inference('cnf.neg', [status(esa)], [diamond_strip_lemmaD_2c2])).
% 0.58/0.80 thf(zip_derived_cl13, plain,
% 0.58/0.80 (![X0 : $i]:
% 0.58/0.80 (~ (member @ (pair @ z @ X0) @ r)
% 0.58/0.80 | ~ (member @ (pair @ sk3 @ X0) @ (trancl @ r)))),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/0.80 thf(zip_derived_cl151, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 (~ (member @ (pair @ X1 @ (sk2 @ sk3)) @ r)
% 0.58/0.80 | ~ (member @ (pair @ X1 @ X0) @ r)
% 0.58/0.80 | ~ (member @ (pair @ z @ (sk1 @ X1 @ (sk2 @ sk3) @ X0)) @ r))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl13])).
% 0.58/0.80 thf(zip_derived_cl189, plain,
% 0.58/0.80 (![X0 : $i]:
% 0.58/0.80 (~ (member @ (pair @ X0 @ z) @ r)
% 0.58/0.80 | ~ (member @ (pair @ X0 @ (sk2 @ sk3)) @ r)
% 0.58/0.80 | ~ (member @ (pair @ X0 @ z) @ r)
% 0.58/0.80 | ~ (member @ (pair @ X0 @ (sk2 @ sk3)) @ r))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl151])).
% 0.58/0.80 thf(zip_derived_cl190, plain,
% 0.58/0.80 (![X0 : $i]:
% 0.58/0.80 (~ (member @ (pair @ X0 @ (sk2 @ sk3)) @ r)
% 0.58/0.80 | ~ (member @ (pair @ X0 @ z) @ r))),
% 0.58/0.80 inference('simplify', [status(thm)], [zip_derived_cl189])).
% 0.58/0.80 thf(zip_derived_cl193, plain,
% 0.58/0.80 ((~ (member @ (pair @ x @ sk3) @ r) | ~ (member @ (pair @ y @ z) @ r))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl190])).
% 0.58/0.80 thf(zip_derived_cl14, plain, ( (member @ (pair @ x @ sk3) @ r)),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.80 thf(diamond_strip_lemmaD_2h4, axiom, (member @ ( pair @ y @ z ) @ r)).
% 0.58/0.80 thf(zip_derived_cl10, plain, ( (member @ (pair @ y @ z) @ r)),
% 0.58/0.80 inference('cnf', [status(esa)], [diamond_strip_lemmaD_2h4])).
% 0.58/0.80 thf(zip_derived_cl194, plain, ($false),
% 0.58/0.80 inference('demod', [status(thm)],
% 0.58/0.80 [zip_derived_cl193, zip_derived_cl14, zip_derived_cl10])).
% 0.58/0.80
% 0.58/0.80 % SZS output end Refutation
% 0.58/0.80
% 0.58/0.80
% 0.58/0.80 % Terminating...
% 1.18/0.87 % Runner terminated.
% 1.18/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------