%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL042-6 : 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.lzw9JbANjU true
% Computer : n012.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 04:30:13 PM UTC 2025
% Result : Unsatisfiable 94.69s 14.20s
% Output : Refutation 94.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.15 % Problem : COL042-6 : TPTP v9.2.0. Released v2.1.0.
% 0.05/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lzw9JbANjU true
% 0.15/0.38 % Computer : n012.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Wed Oct 1 11:06:38 EDT 2025
% 0.15/0.38 % CPUTime :
% 0.15/0.38 % Running portfolio for 300 s
% 0.15/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 % Number of cores: 8
% 0.15/0.38 % Python version: Python 3.6.8
% 0.15/0.39 % Running in FO mode
% 0.61/0.68 % Total configuration time : 435
% 0.61/0.68 % Estimated wc time : 1092
% 0.61/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.63/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.63/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.63/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 94.69/14.20 % Solved by fo/fo5.sh.
% 94.69/14.20 % done 655 iterations in 13.351s
% 94.69/14.20 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 94.69/14.20 % SZS output start Refutation
% 94.69/14.20 thf(w1_type, type, w1: $i).
% 94.69/14.20 thf(fixed_pt_type, type, fixed_pt: $i).
% 94.69/14.20 thf(strong_fixed_point_type, type, strong_fixed_point: $i).
% 94.69/14.20 thf(b_type, type, b: $i).
% 94.69/14.20 thf(apply_type, type, apply: $i > $i > $i).
% 94.69/14.20 thf(prove_strong_fixed_point, conjecture,
% 94.69/14.20 (( apply @ strong_fixed_point @ fixed_pt ) =
% 94.69/14.20 ( apply @ fixed_pt @ ( apply @ strong_fixed_point @ fixed_pt ) ))).
% 94.69/14.20 thf(zf_stmt_0, negated_conjecture,
% 94.69/14.20 (( apply @ strong_fixed_point @ fixed_pt ) !=
% 94.69/14.20 ( apply @ fixed_pt @ ( apply @ strong_fixed_point @ fixed_pt ) )),
% 94.69/14.20 inference('cnf.neg', [status(esa)], [prove_strong_fixed_point])).
% 94.69/14.20 thf(zip_derived_cl3, plain,
% 94.69/14.20 (((apply @ strong_fixed_point @ fixed_pt)
% 94.69/14.20 != (apply @ fixed_pt @ (apply @ strong_fixed_point @ fixed_pt)))),
% 94.69/14.20 inference('cnf', [status(esa)], [zf_stmt_0])).
% 94.69/14.20 thf(w1_definition, axiom,
% 94.69/14.20 (( apply @ ( apply @ w1 @ X ) @ Y ) = ( apply @ ( apply @ Y @ X ) @ X ))).
% 94.69/14.20 thf(zip_derived_cl1, plain,
% 94.69/14.20 (![X0 : $i, X1 : $i]:
% 94.69/14.20 ((apply @ (apply @ w1 @ X1) @ X0) = (apply @ (apply @ X0 @ X1) @ X1))),
% 94.69/14.20 inference('cnf', [status(esa)], [w1_definition])).
% 94.69/14.20 thf(b_definition, axiom,
% 94.69/14.20 (( apply @ ( apply @ ( apply @ b @ X ) @ Y ) @ Z ) =
% 94.69/14.20 ( apply @ X @ ( apply @ Y @ Z ) ))).
% 94.69/14.20 thf(zip_derived_cl0, plain,
% 94.69/14.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.69/14.20 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 94.69/14.20 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 94.69/14.20 inference('cnf', [status(esa)], [b_definition])).
% 94.69/14.20 thf(zip_derived_cl1, plain,
% 94.69/14.20 (![X0 : $i, X1 : $i]:
% 94.69/14.20 ((apply @ (apply @ w1 @ X1) @ X0) = (apply @ (apply @ X0 @ X1) @ X1))),
% 94.69/14.20 inference('cnf', [status(esa)], [w1_definition])).
% 94.69/14.20 thf(zip_derived_cl12, plain,
% 94.69/14.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.69/14.20 ((apply @ (apply @ w1 @ X0) @ (apply @ (apply @ b @ X2) @ X1))
% 94.69/14.20 = (apply @ (apply @ X2 @ (apply @ X1 @ X0)) @ X0))),
% 94.69/14.20 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 94.69/14.20 thf(zip_derived_cl0, plain,
% 94.69/14.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.69/14.20 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 94.69/14.20 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 94.69/14.20 inference('cnf', [status(esa)], [b_definition])).
% 94.69/14.20 thf(zip_derived_cl298, plain,
% 94.69/14.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.69/14.20 ((apply @ (apply @ w1 @ X2) @
% 94.69/14.20 (apply @ (apply @ b @ (apply @ b @ X1)) @ X0))
% 94.69/14.20 = (apply @ X1 @ (apply @ (apply @ X0 @ X2) @ X2)))),
% 94.69/14.20 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 94.69/14.20 thf(zip_derived_cl26325, plain,
% 94.69/14.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.69/14.20 ((apply @ (apply @ w1 @ X1) @
% 94.69/14.20 (apply @ (apply @ b @ (apply @ b @ X2)) @ X0))
% 94.69/14.20 = (apply @ X2 @ (apply @ (apply @ w1 @ X1) @ X0)))),
% 94.69/14.20 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl298])).
% 94.69/14.20 thf(zip_derived_cl12, plain,
% 94.69/14.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.69/14.20 ((apply @ (apply @ w1 @ X0) @ (apply @ (apply @ b @ X2) @ X1))
% 94.69/14.20 = (apply @ (apply @ X2 @ (apply @ X1 @ X0)) @ X0))),
% 94.69/14.20 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 94.69/14.20 thf(zip_derived_cl1, plain,
% 94.69/14.20 (![X0 : $i, X1 : $i]:
% 94.69/14.20 ((apply @ (apply @ w1 @ X1) @ X0) = (apply @ (apply @ X0 @ X1) @ X1))),
% 94.69/14.20 inference('cnf', [status(esa)], [w1_definition])).
% 94.69/14.20 thf(zip_derived_cl303, plain,
% 94.69/14.20 (![X0 : $i, X1 : $i]:
% 94.69/14.20 ((apply @ (apply @ w1 @ X1) @ (apply @ (apply @ b @ w1) @ X0))
% 94.69/14.20 = (apply @ (apply @ X1 @ (apply @ X0 @ X1)) @ (apply @ X0 @ X1)))),
% 94.69/14.20 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 94.69/14.20 thf(zip_derived_cl26880, plain,
% 94.69/14.20 (![X0 : $i]:
% 94.69/14.20 ((apply @ (apply @ w1 @ w1) @
% 94.69/14.20 (apply @ (apply @ b @ w1) @ (apply @ b @ (apply @ b @ X0))))
% 94.69/14.20 = (apply @ X0 @
% 94.69/14.20 (apply @
% 94.69/14.20 (apply @ w1 @ (apply @ (apply @ b @ (apply @ b @ X0)) @ w1)) @
% 94.69/14.20 w1)))),
% 94.69/14.20 inference('sup+', [status(thm)], [zip_derived_cl26325, zip_derived_cl303])).
% 94.69/14.20 thf(strong_fixed_point, axiom,
% 94.69/14.20 (( strong_fixed_point ) =
% 94.69/14.20 ( apply @
% 94.69/14.20 ( apply @
% 94.69/14.20 b @
% 94.69/14.20 ( apply @
% 94.69/14.20 ( apply @
% 94.69/14.20 b @
% 94.69/14.20 ( apply @ ( apply @ b @ ( apply @ w1 @ w1 ) ) @ ( apply @ b @ w1 ) ) ) @
% 94.69/14.20 b ) ) @
% 94.69/14.20 b ))).
% 94.69/14.20 thf(zip_derived_cl2, plain,
% 94.69/14.20 (((strong_fixed_point)
% 94.69/14.20 = (apply @
% 94.69/14.20 (apply @ b @
% 94.69/14.20 (apply @
% 94.69/14.20 (apply @ b @
% 94.69/14.20 (apply @ (apply @ b @ (apply @ w1 @ w1)) @ (apply @ b @ w1))) @
% 94.69/14.20 b)) @
% 94.69/14.20 b))),
% 94.69/14.20 inference('cnf', [status(esa)], [strong_fixed_point])).
% 94.69/14.20 thf(zip_derived_cl0, plain,
% 94.69/14.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.69/14.20 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 94.69/14.20 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 94.69/14.20 inference('cnf', [status(esa)], [b_definition])).
% 94.69/14.20 thf(zip_derived_cl15, plain,
% 94.69/14.20 (![X0 : $i]:
% 94.69/14.20 ((apply @ strong_fixed_point @ X0)
% 94.69/14.20 = (apply @
% 94.69/14.20 (apply @
% 94.69/14.20 (apply @ b @
% 94.69/14.20 (apply @ (apply @ b @ (apply @ w1 @ w1)) @ (apply @ b @ w1))) @
% 94.69/14.20 b) @
% 94.69/14.20 (apply @ b @ X0)))),
% 94.69/14.20 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 94.69/14.20 thf(zip_derived_cl0, plain,
% 94.69/14.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.69/14.20 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 94.69/14.20 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 94.69/14.20 inference('cnf', [status(esa)], [b_definition])).
% 94.69/14.20 thf(zip_derived_cl465, plain,
% 94.69/14.20 (![X0 : $i]:
% 94.69/14.20 ((apply @ strong_fixed_point @ X0)
% 94.69/14.20 = (apply @
% 94.69/14.20 (apply @ (apply @ b @ (apply @ w1 @ w1)) @ (apply @ b @ w1)) @
% 94.69/14.20 (apply @ b @ (apply @ b @ X0))))),
% 94.69/14.20 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 94.69/14.20 thf(zip_derived_cl0, plain,
% 94.69/14.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.69/14.20 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 94.69/14.20 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 94.69/14.20 inference('cnf', [status(esa)], [b_definition])).
% 94.69/14.20 thf(zip_derived_cl2020, plain,
% 94.69/14.20 (![X0 : $i]:
% 94.69/14.20 ((apply @ strong_fixed_point @ X0)
% 94.69/14.20 = (apply @ (apply @ w1 @ w1) @
% 94.69/14.20 (apply @ (apply @ b @ w1) @ (apply @ b @ (apply @ b @ X0)))))),
% 94.69/14.20 inference('sup+', [status(thm)], [zip_derived_cl465, zip_derived_cl0])).
% 94.69/14.20 thf(zip_derived_cl2020, plain,
% 94.69/14.20 (![X0 : $i]:
% 94.69/14.20 ((apply @ strong_fixed_point @ X0)
% 94.69/14.20 = (apply @ (apply @ w1 @ w1) @
% 94.69/14.20 (apply @ (apply @ b @ w1) @ (apply @ b @ (apply @ b @ X0)))))),
% 94.69/14.20 inference('sup+', [status(thm)], [zip_derived_cl465, zip_derived_cl0])).
% 94.69/14.20 thf(zip_derived_cl12, plain,
% 94.69/14.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.69/14.20 ((apply @ (apply @ w1 @ X0) @ (apply @ (apply @ b @ X2) @ X1))
% 94.69/14.20 = (apply @ (apply @ X2 @ (apply @ X1 @ X0)) @ X0))),
% 94.69/14.20 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 94.69/14.20 thf(zip_derived_cl2041, plain,
% 94.69/14.20 (![X0 : $i]:
% 94.69/14.20 ((apply @ strong_fixed_point @ X0)
% 94.69/14.20 = (apply @
% 94.69/14.20 (apply @ w1 @ (apply @ (apply @ b @ (apply @ b @ X0)) @ w1)) @ w1))),
% 94.69/14.20 inference('sup+', [status(thm)], [zip_derived_cl2020, zip_derived_cl12])).
% 94.69/14.20 thf(zip_derived_cl27020, plain,
% 94.69/14.20 (![X0 : $i]:
% 94.69/14.20 ((apply @ strong_fixed_point @ X0)
% 94.69/14.20 = (apply @ X0 @ (apply @ strong_fixed_point @ X0)))),
% 94.69/14.20 inference('demod', [status(thm)],
% 94.69/14.20 [zip_derived_cl26880, zip_derived_cl2020, zip_derived_cl2041])).
% 94.69/14.20 thf(zip_derived_cl27032, plain,
% 94.69/14.20 (((apply @ strong_fixed_point @ fixed_pt)
% 94.69/14.20 != (apply @ strong_fixed_point @ fixed_pt))),
% 94.69/14.20 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl27020])).
% 94.69/14.20 thf(zip_derived_cl27033, plain, ($false),
% 94.69/14.20 inference('simplify', [status(thm)], [zip_derived_cl27032])).
% 94.69/14.20
% 94.69/14.20 % SZS output end Refutation
% 94.69/14.20
% 94.69/14.20
% 94.69/14.20 % Terminating...
% 94.69/14.24 % Runner terminated.
% 94.69/14.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------