%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL003-13 : TPTP v9.2.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NmQmFBpy7T 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 18.37s 3.30s
% Output : Refutation 18.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.19 % Problem : COL003-13 : TPTP v9.2.0. Released v2.1.0.
% 0.13/0.20 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NmQmFBpy7T true
% 0.15/0.44 % Computer : n013.cluster.edu
% 0.15/0.44 % Model : x86_64 x86_64
% 0.15/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.44 % Memory : 8042.1875MB
% 0.15/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.44 % CPULimit : 300
% 0.15/0.44 % WCLimit : 300
% 0.15/0.44 % DateTime : Wed Oct 1 11:02:53 EDT 2025
% 0.15/0.44 % CPUTime :
% 0.15/0.44 % Running portfolio for 300 s
% 0.15/0.44 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.44 % Number of cores: 8
% 0.15/0.45 % Python version: Python 3.6.8
% 0.15/0.45 % Running in FO mode
% 0.57/0.74 % Total configuration time : 435
% 0.57/0.74 % Estimated wc time : 1092
% 0.57/0.74 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.88 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 18.37/3.30 % Solved by fo/fo4.sh.
% 18.37/3.30 % done 379 iterations in 2.404s
% 18.37/3.30 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 18.37/3.30 % SZS output start Refutation
% 18.37/3.30 thf(w_type, type, w: $i).
% 18.37/3.30 thf(fixed_pt_type, type, fixed_pt: $i).
% 18.37/3.30 thf(strong_fixed_point_type, type, strong_fixed_point: $i).
% 18.37/3.30 thf(b_type, type, b: $i).
% 18.37/3.30 thf(apply_type, type, apply: $i > $i > $i).
% 18.37/3.30 thf(prove_strong_fixed_point, conjecture,
% 18.37/3.30 (( apply @ strong_fixed_point @ fixed_pt ) =
% 18.37/3.30 ( apply @ fixed_pt @ ( apply @ strong_fixed_point @ fixed_pt ) ))).
% 18.37/3.30 thf(zf_stmt_0, negated_conjecture,
% 18.37/3.30 (( apply @ strong_fixed_point @ fixed_pt ) !=
% 18.37/3.30 ( apply @ fixed_pt @ ( apply @ strong_fixed_point @ fixed_pt ) )),
% 18.37/3.30 inference('cnf.neg', [status(esa)], [prove_strong_fixed_point])).
% 18.37/3.30 thf(zip_derived_cl3, plain,
% 18.37/3.30 (((apply @ strong_fixed_point @ fixed_pt)
% 18.37/3.30 != (apply @ fixed_pt @ (apply @ strong_fixed_point @ fixed_pt)))),
% 18.37/3.30 inference('cnf', [status(esa)], [zf_stmt_0])).
% 18.37/3.30 thf(w_definition, axiom,
% 18.37/3.30 (( apply @ ( apply @ w @ X ) @ Y ) = ( apply @ ( apply @ X @ Y ) @ Y ))).
% 18.37/3.30 thf(zip_derived_cl1, plain,
% 18.37/3.30 (![X0 : $i, X1 : $i]:
% 18.37/3.30 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 18.37/3.30 inference('cnf', [status(esa)], [w_definition])).
% 18.37/3.30 thf(zip_derived_cl1, plain,
% 18.37/3.30 (![X0 : $i, X1 : $i]:
% 18.37/3.30 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 18.37/3.30 inference('cnf', [status(esa)], [w_definition])).
% 18.37/3.30 thf(b_definition, axiom,
% 18.37/3.30 (( apply @ ( apply @ ( apply @ b @ X ) @ Y ) @ Z ) =
% 18.37/3.30 ( apply @ X @ ( apply @ Y @ Z ) ))).
% 18.37/3.30 thf(zip_derived_cl0, plain,
% 18.37/3.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.37/3.30 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 18.37/3.30 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 18.37/3.30 inference('cnf', [status(esa)], [b_definition])).
% 18.37/3.30 thf(zip_derived_cl5, plain,
% 18.37/3.30 (![X0 : $i, X1 : $i]:
% 18.37/3.30 ((apply @ (apply @ w @ (apply @ b @ X1)) @ X0)
% 18.37/3.30 = (apply @ X1 @ (apply @ X0 @ X0)))),
% 18.37/3.30 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 18.37/3.30 thf(zip_derived_cl0, plain,
% 18.37/3.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.37/3.30 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 18.37/3.30 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 18.37/3.30 inference('cnf', [status(esa)], [b_definition])).
% 18.37/3.30 thf(zip_derived_cl29, plain,
% 18.37/3.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.37/3.30 ((apply @
% 18.37/3.30 (apply @ (apply @ w @ (apply @ b @ (apply @ b @ X1))) @ X0) @ X2)
% 18.37/3.30 = (apply @ X1 @ (apply @ (apply @ X0 @ X0) @ X2)))),
% 18.37/3.30 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 18.37/3.30 thf(zip_derived_cl2953, plain,
% 18.37/3.30 (![X0 : $i, X1 : $i]:
% 18.37/3.30 ((apply @
% 18.37/3.30 (apply @ (apply @ w @ (apply @ b @ (apply @ b @ X1))) @ X0) @ X0)
% 18.37/3.30 = (apply @ X1 @ (apply @ (apply @ w @ X0) @ X0)))),
% 18.37/3.30 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl29])).
% 18.37/3.30 thf(zip_derived_cl1, plain,
% 18.37/3.30 (![X0 : $i, X1 : $i]:
% 18.37/3.30 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 18.37/3.30 inference('cnf', [status(esa)], [w_definition])).
% 18.37/3.30 thf(zip_derived_cl1, plain,
% 18.37/3.30 (![X0 : $i, X1 : $i]:
% 18.37/3.30 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 18.37/3.30 inference('cnf', [status(esa)], [w_definition])).
% 18.37/3.30 thf(zip_derived_cl7, plain,
% 18.37/3.30 (![X0 : $i]:
% 18.37/3.30 ((apply @ (apply @ w @ w) @ X0) = (apply @ (apply @ X0 @ X0) @ X0))),
% 18.37/3.30 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 18.37/3.30 thf(zip_derived_cl5886, plain,
% 18.37/3.30 (![X0 : $i]:
% 18.37/3.30 ((apply @ (apply @ w @ w) @
% 18.37/3.30 (apply @ w @ (apply @ b @ (apply @ b @ X0))))
% 18.37/3.30 = (apply @ X0 @
% 18.37/3.30 (apply @
% 18.37/3.30 (apply @ w @ (apply @ w @ (apply @ b @ (apply @ b @ X0)))) @
% 18.37/3.30 (apply @ w @ (apply @ b @ (apply @ b @ X0))))))),
% 18.37/3.30 inference('sup+', [status(thm)], [zip_derived_cl2953, zip_derived_cl7])).
% 18.37/3.30 thf(strong_fixed_point, axiom,
% 18.37/3.30 (( strong_fixed_point ) =
% 18.37/3.30 ( apply @
% 18.37/3.30 ( apply @ b @ ( apply @ w @ w ) ) @
% 18.37/3.30 ( apply @ ( apply @ b @ ( apply @ ( apply @ b @ w ) @ b ) ) @ b ) ))).
% 18.37/3.30 thf(zip_derived_cl2, plain,
% 18.37/3.30 (((strong_fixed_point)
% 18.37/3.30 = (apply @ (apply @ b @ (apply @ w @ w)) @
% 18.37/3.30 (apply @ (apply @ b @ (apply @ (apply @ b @ w) @ b)) @ b)))),
% 18.37/3.30 inference('cnf', [status(esa)], [strong_fixed_point])).
% 18.37/3.30 thf(zip_derived_cl0, plain,
% 18.37/3.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.37/3.30 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 18.37/3.30 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 18.37/3.30 inference('cnf', [status(esa)], [b_definition])).
% 18.37/3.30 thf(zip_derived_cl16, plain,
% 18.37/3.30 (![X0 : $i]:
% 18.37/3.30 ((apply @ strong_fixed_point @ X0)
% 18.37/3.30 = (apply @ (apply @ w @ w) @
% 18.37/3.30 (apply @
% 18.37/3.30 (apply @ (apply @ b @ (apply @ (apply @ b @ w) @ b)) @ b) @ X0)))),
% 18.37/3.30 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 18.37/3.30 thf(zip_derived_cl0, plain,
% 18.37/3.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.37/3.30 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 18.37/3.30 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 18.37/3.30 inference('cnf', [status(esa)], [b_definition])).
% 18.37/3.30 thf(zip_derived_cl0, plain,
% 18.37/3.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.37/3.30 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 18.37/3.30 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 18.37/3.30 inference('cnf', [status(esa)], [b_definition])).
% 18.37/3.30 thf(zip_derived_cl17, plain,
% 18.37/3.30 (![X0 : $i]:
% 18.37/3.30 ((apply @ strong_fixed_point @ X0)
% 18.37/3.30 = (apply @ (apply @ w @ w) @
% 18.37/3.30 (apply @ w @ (apply @ b @ (apply @ b @ X0)))))),
% 18.37/3.30 inference('demod', [status(thm)],
% 18.37/3.30 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl0])).
% 18.37/3.30 thf(zip_derived_cl1, plain,
% 18.37/3.30 (![X0 : $i, X1 : $i]:
% 18.37/3.30 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 18.37/3.30 inference('cnf', [status(esa)], [w_definition])).
% 18.37/3.30 thf(zip_derived_cl17, plain,
% 18.37/3.30 (![X0 : $i]:
% 18.37/3.30 ((apply @ strong_fixed_point @ X0)
% 18.37/3.30 = (apply @ (apply @ w @ w) @
% 18.37/3.30 (apply @ w @ (apply @ b @ (apply @ b @ X0)))))),
% 18.37/3.30 inference('demod', [status(thm)],
% 18.37/3.30 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl0])).
% 18.37/3.30 thf(zip_derived_cl5947, plain,
% 18.37/3.30 (![X0 : $i]:
% 18.37/3.30 ((apply @ strong_fixed_point @ X0)
% 18.37/3.30 = (apply @ X0 @ (apply @ strong_fixed_point @ X0)))),
% 18.37/3.30 inference('demod', [status(thm)],
% 18.37/3.30 [zip_derived_cl5886, zip_derived_cl17, zip_derived_cl1,
% 18.37/3.30 zip_derived_cl17])).
% 18.37/3.30 thf(zip_derived_cl5955, plain,
% 18.37/3.30 (((apply @ strong_fixed_point @ fixed_pt)
% 18.37/3.30 != (apply @ strong_fixed_point @ fixed_pt))),
% 18.37/3.30 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl5947])).
% 18.37/3.30 thf(zip_derived_cl5956, plain, ($false),
% 18.37/3.30 inference('simplify', [status(thm)], [zip_derived_cl5955])).
% 18.37/3.30
% 18.37/3.30 % SZS output end Refutation
% 18.37/3.30
% 18.37/3.30
% 18.37/3.30 % Terminating...
% 18.53/3.36 % Runner terminated.
% 18.53/3.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------