%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL002-2 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.38sVKrOtZt true
% Computer : n008.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 04:30:07 PM UTC 2025
% Result : Unsatisfiable 0.47s 0.80s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : COL002-2 : TPTP v9.2.0. Released v1.0.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.38sVKrOtZt true
% 0.10/0.31 % Computer : n008.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Wed Oct 1 10:58:08 EDT 2025
% 0.16/0.31 % CPUTime :
% 0.16/0.31 % Running portfolio for 300 s
% 0.16/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.31 % Number of cores: 8
% 0.16/0.31 % Python version: Python 3.6.8
% 0.16/0.32 % Running in FO mode
% 0.45/0.56 % Total configuration time : 435
% 0.45/0.56 % Estimated wc time : 1092
% 0.45/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.80 % Solved by fo/fo5.sh.
% 0.47/0.80 % done 17 iterations in 0.103s
% 0.47/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/0.80 % SZS output start Refutation
% 0.47/0.80 thf(b_type, type, b: $i).
% 0.47/0.80 thf(i_type, type, i: $i).
% 0.47/0.80 thf(s_type, type, s: $i).
% 0.47/0.80 thf(apply_type, type, apply: $i > $i > $i).
% 0.47/0.80 thf(fixed_point_type, type, fixed_point: $i > $o).
% 0.47/0.80 thf(fixed_pt_type, type, fixed_pt: $i).
% 0.47/0.80 thf(i_definition, axiom, (( apply @ i @ X ) = ( X ))).
% 0.47/0.80 thf(zip_derived_cl3, plain, (![X0 : $i]: ((apply @ i @ X0) = (X0))),
% 0.47/0.80 inference('cnf', [status(esa)], [i_definition])).
% 0.47/0.80 thf(s_definition, axiom,
% 0.47/0.80 (( apply @ ( apply @ ( apply @ s @ X ) @ Y ) @ Z ) =
% 0.47/0.80 ( apply @ ( apply @ X @ Z ) @ ( apply @ Y @ Z ) ))).
% 0.47/0.80 thf(zip_derived_cl0, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.80 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 0.47/0.80 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 0.47/0.80 inference('cnf', [status(esa)], [s_definition])).
% 0.47/0.80 thf(zip_derived_cl24, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i]:
% 0.47/0.80 ((apply @ (apply @ (apply @ s @ X1) @ i) @ X0)
% 0.47/0.80 = (apply @ (apply @ X1 @ X0) @ X0))),
% 0.47/0.80 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.47/0.80 thf(b_definition, axiom,
% 0.47/0.80 (( apply @ ( apply @ ( apply @ b @ X ) @ Y ) @ Z ) =
% 0.47/0.80 ( apply @ X @ ( apply @ Y @ Z ) ))).
% 0.47/0.80 thf(zip_derived_cl1, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.80 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 0.47/0.80 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 0.47/0.80 inference('cnf', [status(esa)], [b_definition])).
% 0.47/0.80 thf(zip_derived_cl34, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i]:
% 0.47/0.80 ((apply @ (apply @ (apply @ s @ (apply @ b @ X1)) @ i) @ X0)
% 0.47/0.80 = (apply @ X1 @ (apply @ X0 @ X0)))),
% 0.47/0.80 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 0.47/0.80 thf(weak_fixed_point, axiom,
% 0.47/0.80 (( ( Weak_sage ) != ( apply @ fixed_pt @ Weak_sage ) ) |
% 0.47/0.80 ( fixed_point @ Weak_sage ))).
% 0.47/0.80 thf(zip_derived_cl4, plain,
% 0.47/0.80 (![X0 : $i]: (((X0) != (apply @ fixed_pt @ X0)) | (fixed_point @ X0))),
% 0.47/0.80 inference('cnf', [status(esa)], [weak_fixed_point])).
% 0.47/0.80 thf(zip_derived_cl215, plain,
% 0.47/0.80 (![X0 : $i]:
% 0.47/0.80 (((apply @ X0 @ X0)
% 0.47/0.80 != (apply @ (apply @ (apply @ s @ (apply @ b @ fixed_pt)) @ i) @ X0))
% 0.47/0.80 | (fixed_point @ (apply @ X0 @ X0)))),
% 0.47/0.80 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl4])).
% 0.47/0.80 thf(zip_derived_cl250, plain,
% 0.47/0.80 ( (fixed_point @
% 0.47/0.80 (apply @ (apply @ (apply @ s @ (apply @ b @ fixed_pt)) @ i) @
% 0.47/0.80 (apply @ (apply @ s @ (apply @ b @ fixed_pt)) @ i)))),
% 0.47/0.80 inference('eq_res', [status(thm)], [zip_derived_cl215])).
% 0.47/0.80 thf(zip_derived_cl3, plain, (![X0 : $i]: ((apply @ i @ X0) = (X0))),
% 0.47/0.80 inference('cnf', [status(esa)], [i_definition])).
% 0.47/0.80 thf(zip_derived_cl24, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i]:
% 0.47/0.80 ((apply @ (apply @ (apply @ s @ X1) @ i) @ X0)
% 0.47/0.80 = (apply @ (apply @ X1 @ X0) @ X0))),
% 0.47/0.80 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.47/0.80 thf(zip_derived_cl49, plain,
% 0.47/0.80 (![X0 : $i]:
% 0.47/0.80 ((apply @ (apply @ (apply @ s @ i) @ i) @ X0) = (apply @ X0 @ X0))),
% 0.47/0.80 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl24])).
% 0.47/0.80 thf(prove_weak_fixed_point, conjecture,
% 0.47/0.80 (fixed_point @
% 0.47/0.80 ( apply @
% 0.47/0.80 ( apply @ ( apply @ s @ ( apply @ b @ X ) ) @ i ) @
% 0.47/0.80 ( apply @ ( apply @ s @ ( apply @ b @ X ) ) @ i ) ))).
% 0.47/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.47/0.80 (~( fixed_point @
% 0.47/0.80 ( apply @
% 0.47/0.80 ( apply @ ( apply @ s @ ( apply @ b @ X ) ) @ i ) @
% 0.47/0.80 ( apply @ ( apply @ s @ ( apply @ b @ X ) ) @ i ) ) )),
% 0.47/0.80 inference('cnf.neg', [status(esa)], [prove_weak_fixed_point])).
% 0.47/0.80 thf(zip_derived_cl5, plain,
% 0.47/0.80 (![X0 : $i]:
% 0.47/0.80 ~ (fixed_point @
% 0.47/0.80 (apply @ (apply @ (apply @ s @ (apply @ b @ X0)) @ i) @
% 0.47/0.80 (apply @ (apply @ s @ (apply @ b @ X0)) @ i)))),
% 0.47/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.80 thf(zip_derived_cl49, plain,
% 0.47/0.80 (![X0 : $i]:
% 0.47/0.80 ((apply @ (apply @ (apply @ s @ i) @ i) @ X0) = (apply @ X0 @ X0))),
% 0.47/0.80 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl24])).
% 0.47/0.80 thf(zip_derived_cl51, plain,
% 0.47/0.80 (![X0 : $i]:
% 0.47/0.80 ~ (fixed_point @
% 0.47/0.80 (apply @ (apply @ (apply @ s @ i) @ i) @
% 0.47/0.80 (apply @ (apply @ s @ (apply @ b @ X0)) @ i)))),
% 0.47/0.80 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl49])).
% 0.47/0.80 thf(zip_derived_cl251, plain, ($false),
% 0.47/0.80 inference('demod', [status(thm)],
% 0.47/0.80 [zip_derived_cl250, zip_derived_cl49, zip_derived_cl51])).
% 0.47/0.80
% 0.47/0.80 % SZS output end Refutation
% 0.47/0.80
% 0.47/0.80
% 0.47/0.80 % Terminating...
% 0.52/0.89 % Runner terminated.
% 0.52/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------