%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL002-4 : TPTP v9.2.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PfUoTYjR0G 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 04:30:07 PM UTC 2025
% Result : Unsatisfiable 111.36s 16.51s
% Output : Refutation 111.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL002-4 : TPTP v9.2.0. Bugfixed v3.1.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PfUoTYjR0G true
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 10:54:23 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in FO mode
% 0.58/0.65 % Total configuration time : 435
% 0.58/0.65 % Estimated wc time : 1092
% 0.58/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 111.36/16.51 % Solved by fo/fo5.sh.
% 111.36/16.51 % done 656 iterations in 15.737s
% 111.36/16.51 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 111.36/16.51 % SZS output start Refutation
% 111.36/16.51 thf(b_type, type, b: $i).
% 111.36/16.51 thf(i_type, type, i: $i).
% 111.36/16.51 thf(c_type, type, c: $i).
% 111.36/16.51 thf(s_type, type, s: $i).
% 111.36/16.51 thf(apply_type, type, apply: $i > $i > $i).
% 111.36/16.51 thf(fixed_pt_type, type, fixed_pt: $i).
% 111.36/16.51 thf(weak_fixed_point_type, type, weak_fixed_point: $i > $i).
% 111.36/16.51 thf(prove_weak_fixed_point, conjecture,
% 111.36/16.51 (( weak_fixed_point @ fixed_pt ) =
% 111.36/16.51 ( apply @ fixed_pt @ ( weak_fixed_point @ fixed_pt ) ))).
% 111.36/16.51 thf(zf_stmt_0, negated_conjecture,
% 111.36/16.51 (( weak_fixed_point @ fixed_pt ) !=
% 111.36/16.51 ( apply @ fixed_pt @ ( weak_fixed_point @ fixed_pt ) )),
% 111.36/16.51 inference('cnf.neg', [status(esa)], [prove_weak_fixed_point])).
% 111.36/16.51 thf(zip_derived_cl5, plain,
% 111.36/16.51 (((weak_fixed_point @ fixed_pt)
% 111.36/16.51 != (apply @ fixed_pt @ (weak_fixed_point @ fixed_pt)))),
% 111.36/16.51 inference('cnf', [status(esa)], [zf_stmt_0])).
% 111.36/16.51 thf(i_definition, axiom, (( apply @ i @ X ) = ( X ))).
% 111.36/16.51 thf(zip_derived_cl3, plain, (![X0 : $i]: ((apply @ i @ X0) = (X0))),
% 111.36/16.51 inference('cnf', [status(esa)], [i_definition])).
% 111.36/16.51 thf(zip_derived_cl3, plain, (![X0 : $i]: ((apply @ i @ X0) = (X0))),
% 111.36/16.51 inference('cnf', [status(esa)], [i_definition])).
% 111.36/16.51 thf(s_definition, axiom,
% 111.36/16.51 (( apply @ ( apply @ ( apply @ s @ X ) @ Y ) @ Z ) =
% 111.36/16.51 ( apply @ ( apply @ X @ Z ) @ ( apply @ Y @ Z ) ))).
% 111.36/16.51 thf(zip_derived_cl0, plain,
% 111.36/16.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 111.36/16.51 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 111.36/16.51 inference('cnf', [status(esa)], [s_definition])).
% 111.36/16.51 thf(zip_derived_cl24, plain,
% 111.36/16.51 (![X0 : $i, X1 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ s @ X1) @ i) @ X0)
% 111.36/16.51 = (apply @ (apply @ X1 @ X0) @ X0))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 111.36/16.51 thf(c_definition, axiom,
% 111.36/16.51 (( apply @ ( apply @ ( apply @ c @ X ) @ Y ) @ Z ) =
% 111.36/16.51 ( apply @ ( apply @ X @ Z ) @ Y ))).
% 111.36/16.51 thf(zip_derived_cl2, plain,
% 111.36/16.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ c @ X0) @ X2) @ X1)
% 111.36/16.51 = (apply @ (apply @ X0 @ X1) @ X2))),
% 111.36/16.51 inference('cnf', [status(esa)], [c_definition])).
% 111.36/16.51 thf(zip_derived_cl37, plain,
% 111.36/16.51 (![X0 : $i, X1 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ s @ (apply @ c @ X1)) @ i) @ X0)
% 111.36/16.51 = (apply @ (apply @ X1 @ X0) @ X0))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl2])).
% 111.36/16.51 thf(zip_derived_cl359, plain,
% 111.36/16.51 (![X0 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ s @ (apply @ c @ i)) @ i) @ X0)
% 111.36/16.51 = (apply @ X0 @ X0))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl37])).
% 111.36/16.51 thf(zip_derived_cl3, plain, (![X0 : $i]: ((apply @ i @ X0) = (X0))),
% 111.36/16.51 inference('cnf', [status(esa)], [i_definition])).
% 111.36/16.51 thf(zip_derived_cl24, plain,
% 111.36/16.51 (![X0 : $i, X1 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ s @ X1) @ i) @ X0)
% 111.36/16.51 = (apply @ (apply @ X1 @ X0) @ X0))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 111.36/16.51 thf(zip_derived_cl52, plain,
% 111.36/16.51 (![X0 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ s @ i) @ i) @ X0) = (apply @ X0 @ X0))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl24])).
% 111.36/16.51 thf(zip_derived_cl24, plain,
% 111.36/16.51 (![X0 : $i, X1 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ s @ X1) @ i) @ X0)
% 111.36/16.51 = (apply @ (apply @ X1 @ X0) @ X0))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 111.36/16.51 thf(b_definition, axiom,
% 111.36/16.51 (( apply @ ( apply @ ( apply @ b @ X ) @ Y ) @ Z ) =
% 111.36/16.51 ( apply @ X @ ( apply @ Y @ Z ) ))).
% 111.36/16.51 thf(zip_derived_cl1, plain,
% 111.36/16.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 111.36/16.51 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 111.36/16.51 inference('cnf', [status(esa)], [b_definition])).
% 111.36/16.51 thf(zip_derived_cl36, plain,
% 111.36/16.51 (![X0 : $i, X1 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ s @ (apply @ b @ X1)) @ i) @ X0)
% 111.36/16.51 = (apply @ X1 @ (apply @ X0 @ X0)))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 111.36/16.51 thf(zip_derived_cl207, plain,
% 111.36/16.51 (![X0 : $i, X1 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ s @ (apply @ b @ X1)) @ i) @ X0)
% 111.36/16.51 = (apply @ X1 @ (apply @ (apply @ (apply @ s @ i) @ i) @ X0)))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl36])).
% 111.36/16.51 thf(zip_derived_cl36177, plain,
% 111.36/16.51 (![X0 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ s @ (apply @ c @ i)) @ i) @
% 111.36/16.51 (apply @ (apply @ s @ (apply @ b @ X0)) @ i))
% 111.36/16.51 = (apply @ X0 @
% 111.36/16.51 (apply @ (apply @ (apply @ s @ i) @ i) @
% 111.36/16.51 (apply @ (apply @ s @ (apply @ b @ X0)) @ i))))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl359, zip_derived_cl207])).
% 111.36/16.51 thf(zip_derived_cl37, plain,
% 111.36/16.51 (![X0 : $i, X1 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ s @ (apply @ c @ X1)) @ i) @ X0)
% 111.36/16.51 = (apply @ (apply @ X1 @ X0) @ X0))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl2])).
% 111.36/16.51 thf(zip_derived_cl24, plain,
% 111.36/16.51 (![X0 : $i, X1 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ s @ X1) @ i) @ X0)
% 111.36/16.51 = (apply @ (apply @ X1 @ X0) @ X0))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 111.36/16.51 thf(zip_derived_cl315, plain,
% 111.36/16.51 (![X0 : $i, X1 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ s @ X1) @ i) @ X0)
% 111.36/16.51 = (apply @ (apply @ (apply @ s @ (apply @ c @ X1)) @ i) @ X0))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl24])).
% 111.36/16.51 thf(zip_derived_cl52, plain,
% 111.36/16.51 (![X0 : $i]:
% 111.36/16.51 ((apply @ (apply @ (apply @ s @ i) @ i) @ X0) = (apply @ X0 @ X0))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl24])).
% 111.36/16.51 thf(weak_fixed_point, axiom,
% 111.36/16.51 (( weak_fixed_point @ X ) =
% 111.36/16.51 ( apply @
% 111.36/16.51 ( apply @ ( apply @ s @ ( apply @ b @ X ) ) @ i ) @
% 111.36/16.51 ( apply @ ( apply @ s @ ( apply @ b @ X ) ) @ i ) ))).
% 111.36/16.51 thf(zip_derived_cl4, plain,
% 111.36/16.51 (![X0 : $i]:
% 111.36/16.51 ((weak_fixed_point @ X0)
% 111.36/16.51 = (apply @ (apply @ (apply @ s @ (apply @ b @ X0)) @ i) @
% 111.36/16.51 (apply @ (apply @ s @ (apply @ b @ X0)) @ i)))),
% 111.36/16.51 inference('cnf', [status(esa)], [weak_fixed_point])).
% 111.36/16.51 thf(zip_derived_cl63, plain,
% 111.36/16.51 (![X0 : $i]:
% 111.36/16.51 ((weak_fixed_point @ X0)
% 111.36/16.51 = (apply @ (apply @ (apply @ s @ i) @ i) @
% 111.36/16.51 (apply @ (apply @ s @ (apply @ b @ X0)) @ i)))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl4])).
% 111.36/16.51 thf(zip_derived_cl63, plain,
% 111.36/16.51 (![X0 : $i]:
% 111.36/16.51 ((weak_fixed_point @ X0)
% 111.36/16.51 = (apply @ (apply @ (apply @ s @ i) @ i) @
% 111.36/16.51 (apply @ (apply @ s @ (apply @ b @ X0)) @ i)))),
% 111.36/16.51 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl4])).
% 111.36/16.51 thf(zip_derived_cl36212, plain,
% 111.36/16.51 (![X0 : $i]:
% 111.36/16.51 ((weak_fixed_point @ X0) = (apply @ X0 @ (weak_fixed_point @ X0)))),
% 111.36/16.51 inference('demod', [status(thm)],
% 111.36/16.51 [zip_derived_cl36177, zip_derived_cl315, zip_derived_cl63,
% 111.36/16.51 zip_derived_cl63])).
% 111.36/16.51 thf(zip_derived_cl36303, plain,
% 111.36/16.51 (((weak_fixed_point @ fixed_pt) != (weak_fixed_point @ fixed_pt))),
% 111.36/16.51 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl36212])).
% 111.36/16.51 thf(zip_derived_cl36304, plain, ($false),
% 111.36/16.51 inference('simplify', [status(thm)], [zip_derived_cl36303])).
% 111.36/16.51
% 111.36/16.51 % SZS output end Refutation
% 111.36/16.51
% 111.36/16.51
% 111.36/16.51 % Terminating...
% 111.79/16.60 % Runner terminated.
% 111.79/16.61 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------