%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL003-18 : TPTP v9.2.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1OiGMgePar 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 04:30:08 PM UTC 2025
% Result : Unsatisfiable 22.03s 3.76s
% Output : Refutation 22.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : COL003-18 : TPTP v9.2.0. Released v2.1.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1OiGMgePar true
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 10:54:53 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.69/0.65 % Total configuration time : 435
% 0.69/0.65 % Estimated wc time : 1092
% 0.69/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.69/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.69/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.03/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.03/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.03/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.03/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.03/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 22.03/3.76 % Solved by fo/fo4.sh.
% 22.03/3.76 % done 506 iterations in 2.986s
% 22.03/3.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 22.03/3.76 % SZS output start Refutation
% 22.03/3.76 thf(w_type, type, w: $i).
% 22.03/3.76 thf(fixed_pt_type, type, fixed_pt: $i).
% 22.03/3.76 thf(strong_fixed_point_type, type, strong_fixed_point: $i).
% 22.03/3.76 thf(b_type, type, b: $i).
% 22.03/3.76 thf(apply_type, type, apply: $i > $i > $i).
% 22.03/3.76 thf(prove_strong_fixed_point, conjecture,
% 22.03/3.76 (( apply @ strong_fixed_point @ fixed_pt ) =
% 22.03/3.76 ( apply @ fixed_pt @ ( apply @ strong_fixed_point @ fixed_pt ) ))).
% 22.03/3.76 thf(zf_stmt_0, negated_conjecture,
% 22.03/3.76 (( apply @ strong_fixed_point @ fixed_pt ) !=
% 22.03/3.76 ( apply @ fixed_pt @ ( apply @ strong_fixed_point @ fixed_pt ) )),
% 22.03/3.76 inference('cnf.neg', [status(esa)], [prove_strong_fixed_point])).
% 22.03/3.76 thf(zip_derived_cl3, plain,
% 22.03/3.76 (((apply @ strong_fixed_point @ fixed_pt)
% 22.03/3.76 != (apply @ fixed_pt @ (apply @ strong_fixed_point @ fixed_pt)))),
% 22.03/3.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 22.03/3.76 thf(w_definition, axiom,
% 22.03/3.76 (( apply @ ( apply @ w @ X ) @ Y ) = ( apply @ ( apply @ X @ Y ) @ Y ))).
% 22.03/3.76 thf(zip_derived_cl1, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i]:
% 22.03/3.76 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 22.03/3.76 inference('cnf', [status(esa)], [w_definition])).
% 22.03/3.76 thf(zip_derived_cl1, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i]:
% 22.03/3.76 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 22.03/3.76 inference('cnf', [status(esa)], [w_definition])).
% 22.03/3.76 thf(zip_derived_cl7, plain,
% 22.03/3.76 (![X0 : $i]:
% 22.03/3.76 ((apply @ (apply @ w @ w) @ X0) = (apply @ (apply @ X0 @ X0) @ X0))),
% 22.03/3.76 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 22.03/3.76 thf(zip_derived_cl1, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i]:
% 22.03/3.76 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 22.03/3.76 inference('cnf', [status(esa)], [w_definition])).
% 22.03/3.76 thf(b_definition, axiom,
% 22.03/3.76 (( apply @ ( apply @ ( apply @ b @ X ) @ Y ) @ Z ) =
% 22.03/3.76 ( apply @ X @ ( apply @ Y @ Z ) ))).
% 22.03/3.76 thf(zip_derived_cl0, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.03/3.76 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 22.03/3.76 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 22.03/3.76 inference('cnf', [status(esa)], [b_definition])).
% 22.03/3.76 thf(zip_derived_cl5, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i]:
% 22.03/3.76 ((apply @ (apply @ w @ (apply @ b @ X1)) @ X0)
% 22.03/3.76 = (apply @ X1 @ (apply @ X0 @ X0)))),
% 22.03/3.76 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 22.03/3.76 thf(zip_derived_cl0, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.03/3.76 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 22.03/3.76 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 22.03/3.76 inference('cnf', [status(esa)], [b_definition])).
% 22.03/3.76 thf(zip_derived_cl59, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.03/3.76 ((apply @
% 22.03/3.76 (apply @ (apply @ w @ (apply @ b @ (apply @ b @ X1))) @ X0) @ X2)
% 22.03/3.76 = (apply @ X1 @ (apply @ (apply @ X0 @ X0) @ X2)))),
% 22.03/3.76 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 22.03/3.76 thf(zip_derived_cl4536, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i]:
% 22.03/3.76 ((apply @
% 22.03/3.76 (apply @ (apply @ w @ (apply @ b @ (apply @ b @ X1))) @ X0) @ X0)
% 22.03/3.76 = (apply @ X1 @ (apply @ (apply @ w @ w) @ X0)))),
% 22.03/3.76 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl59])).
% 22.03/3.76 thf(zip_derived_cl1, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i]:
% 22.03/3.76 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 22.03/3.76 inference('cnf', [status(esa)], [w_definition])).
% 22.03/3.76 thf(zip_derived_cl1, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i]:
% 22.03/3.76 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 22.03/3.76 inference('cnf', [status(esa)], [w_definition])).
% 22.03/3.76 thf(zip_derived_cl4, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i]:
% 22.03/3.76 ((apply @ (apply @ w @ (apply @ X1 @ X0)) @ X0)
% 22.03/3.76 = (apply @ (apply @ (apply @ w @ X1) @ X0) @ X0))),
% 22.03/3.76 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 22.03/3.76 thf(zip_derived_cl7464, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i]:
% 22.03/3.76 ((apply @
% 22.03/3.76 (apply @ w @ (apply @ (apply @ b @ (apply @ b @ X1)) @ X0)) @ X0)
% 22.03/3.76 = (apply @ X1 @ (apply @ (apply @ w @ w) @ X0)))),
% 22.03/3.76 inference('sup+', [status(thm)], [zip_derived_cl4536, zip_derived_cl4])).
% 22.03/3.76 thf(zip_derived_cl0, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.03/3.76 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 22.03/3.76 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 22.03/3.76 inference('cnf', [status(esa)], [b_definition])).
% 22.03/3.76 thf(zip_derived_cl7, plain,
% 22.03/3.76 (![X0 : $i]:
% 22.03/3.76 ((apply @ (apply @ w @ w) @ X0) = (apply @ (apply @ X0 @ X0) @ X0))),
% 22.03/3.76 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 22.03/3.76 thf(zip_derived_cl24, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i]:
% 22.03/3.76 ((apply @ (apply @ w @ w) @ (apply @ (apply @ b @ X1) @ X0))
% 22.03/3.76 = (apply @
% 22.03/3.76 (apply @ X1 @ (apply @ X0 @ (apply @ (apply @ b @ X1) @ X0))) @
% 22.03/3.76 (apply @ (apply @ b @ X1) @ X0)))),
% 22.03/3.76 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl7])).
% 22.03/3.76 thf(zip_derived_cl8214, plain,
% 22.03/3.76 (![X0 : $i]:
% 22.03/3.76 ((apply @ (apply @ w @ w) @
% 22.03/3.76 (apply @ (apply @ b @ w) @ (apply @ b @ (apply @ b @ X0))))
% 22.03/3.76 = (apply @ X0 @
% 22.03/3.76 (apply @ (apply @ w @ w) @
% 22.03/3.76 (apply @ (apply @ b @ w) @ (apply @ b @ (apply @ b @ X0))))))),
% 22.03/3.76 inference('sup+', [status(thm)], [zip_derived_cl7464, zip_derived_cl24])).
% 22.03/3.76 thf(strong_fixed_point, axiom,
% 22.03/3.76 (( strong_fixed_point ) =
% 22.03/3.76 ( apply @
% 22.03/3.76 ( apply @
% 22.03/3.76 b @ ( apply @ ( apply @ b @ ( apply @ w @ w ) ) @ ( apply @ b @ w ) ) ) @
% 22.03/3.76 ( apply @ ( apply @ b @ b ) @ b ) ))).
% 22.03/3.76 thf(zip_derived_cl2, plain,
% 22.03/3.76 (((strong_fixed_point)
% 22.03/3.76 = (apply @
% 22.03/3.76 (apply @ b @
% 22.03/3.76 (apply @ (apply @ b @ (apply @ w @ w)) @ (apply @ b @ w))) @
% 22.03/3.76 (apply @ (apply @ b @ b) @ b)))),
% 22.03/3.76 inference('cnf', [status(esa)], [strong_fixed_point])).
% 22.03/3.76 thf(zip_derived_cl1, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i]:
% 22.03/3.76 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 22.03/3.76 inference('cnf', [status(esa)], [w_definition])).
% 22.03/3.76 thf(zip_derived_cl1, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i]:
% 22.03/3.76 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 22.03/3.76 inference('cnf', [status(esa)], [w_definition])).
% 22.03/3.76 thf(zip_derived_cl15, plain,
% 22.03/3.76 (((strong_fixed_point)
% 22.03/3.76 = (apply @
% 22.03/3.76 (apply @ b @
% 22.03/3.76 (apply @ (apply @ b @ (apply @ w @ w)) @ (apply @ b @ w))) @
% 22.03/3.76 (apply @ (apply @ w @ w) @ b)))),
% 22.03/3.76 inference('demod', [status(thm)],
% 22.03/3.76 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 22.03/3.76 thf(zip_derived_cl0, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.03/3.76 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 22.03/3.76 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 22.03/3.76 inference('cnf', [status(esa)], [b_definition])).
% 22.03/3.76 thf(zip_derived_cl17, plain,
% 22.03/3.76 (![X0 : $i]:
% 22.03/3.76 ((apply @ strong_fixed_point @ X0)
% 22.03/3.76 = (apply @
% 22.03/3.76 (apply @ (apply @ b @ (apply @ w @ w)) @ (apply @ b @ w)) @
% 22.03/3.76 (apply @ (apply @ (apply @ w @ w) @ b) @ X0)))),
% 22.03/3.76 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 22.03/3.76 thf(zip_derived_cl7, plain,
% 22.03/3.76 (![X0 : $i]:
% 22.03/3.76 ((apply @ (apply @ w @ w) @ X0) = (apply @ (apply @ X0 @ X0) @ X0))),
% 22.03/3.76 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 22.03/3.76 thf(zip_derived_cl0, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.03/3.76 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 22.03/3.76 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 22.03/3.76 inference('cnf', [status(esa)], [b_definition])).
% 22.03/3.76 thf(zip_derived_cl21, plain,
% 22.03/3.76 (![X0 : $i]:
% 22.03/3.76 ((apply @ (apply @ (apply @ w @ w) @ b) @ X0)
% 22.03/3.76 = (apply @ b @ (apply @ b @ X0)))),
% 22.03/3.76 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 22.03/3.76 thf(zip_derived_cl0, plain,
% 22.03/3.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.03/3.76 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 22.03/3.76 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 22.03/3.76 inference('cnf', [status(esa)], [b_definition])).
% 22.03/3.76 thf(zip_derived_cl929, plain,
% 22.03/3.76 (![X0 : $i]:
% 22.03/3.76 ((apply @ strong_fixed_point @ X0)
% 22.03/3.76 = (apply @ (apply @ w @ w) @
% 22.03/3.76 (apply @ (apply @ b @ w) @ (apply @ b @ (apply @ b @ X0)))))),
% 22.03/3.76 inference('demod', [status(thm)],
% 22.03/3.76 [zip_derived_cl17, zip_derived_cl21, zip_derived_cl0])).
% 22.03/3.76 thf(zip_derived_cl929, plain,
% 22.03/3.76 (![X0 : $i]:
% 22.03/3.76 ((apply @ strong_fixed_point @ X0)
% 22.03/3.76 = (apply @ (apply @ w @ w) @
% 22.03/3.76 (apply @ (apply @ b @ w) @ (apply @ b @ (apply @ b @ X0)))))),
% 22.03/3.76 inference('demod', [status(thm)],
% 22.03/3.76 [zip_derived_cl17, zip_derived_cl21, zip_derived_cl0])).
% 22.03/3.76 thf(zip_derived_cl8256, plain,
% 22.03/3.76 (![X0 : $i]:
% 22.03/3.76 ((apply @ strong_fixed_point @ X0)
% 22.03/3.76 = (apply @ X0 @ (apply @ strong_fixed_point @ X0)))),
% 22.03/3.76 inference('demod', [status(thm)],
% 22.03/3.76 [zip_derived_cl8214, zip_derived_cl929, zip_derived_cl929])).
% 22.03/3.76 thf(zip_derived_cl8257, plain,
% 22.03/3.76 (((apply @ strong_fixed_point @ fixed_pt)
% 22.03/3.76 != (apply @ strong_fixed_point @ fixed_pt))),
% 22.03/3.76 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl8256])).
% 22.03/3.76 thf(zip_derived_cl8258, plain, ($false),
% 22.03/3.76 inference('simplify', [status(thm)], [zip_derived_cl8257])).
% 22.03/3.76
% 22.03/3.76 % SZS output end Refutation
% 22.03/3.76
% 22.03/3.76
% 22.03/3.76 % Terminating...
% 22.64/3.86 % Runner terminated.
% 22.64/3.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------