%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL004-3 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ehdMOtmss9 true
% Computer : n004.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 04:30:09 PM UTC 2025
% Result : Unsatisfiable 0.49s 0.71s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : COL004-3 : TPTP v9.2.0. Released v1.0.0.
% 0.05/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ehdMOtmss9 true
% 0.11/0.35 % Computer : n004.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Wed Oct 1 10:59:53 EDT 2025
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Running portfolio for 300 s
% 0.11/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Number of cores: 8
% 0.11/0.36 % Python version: Python 3.6.8
% 0.11/0.36 % Running in FO mode
% 0.37/0.61 % Total configuration time : 435
% 0.37/0.61 % Estimated wc time : 1092
% 0.37/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.71 % Solved by fo/fo6_bce.sh.
% 0.49/0.71 % BCE start: 3
% 0.49/0.71 % BCE eliminated: 0
% 0.49/0.71 % PE start: 3
% 0.49/0.71 logic: eq
% 0.49/0.71 % PE eliminated: 0
% 0.49/0.71 % done 2 iterations in 0.015s
% 0.49/0.71 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.71 % SZS output start Refutation
% 0.49/0.71 thf(k_type, type, k: $i).
% 0.49/0.71 thf(y_type, type, y: $i).
% 0.49/0.71 thf(x_type, type, x: $i).
% 0.49/0.71 thf(s_type, type, s: $i).
% 0.49/0.71 thf(apply_type, type, apply: $i > $i > $i).
% 0.49/0.71 thf(prove_u_combinator, conjecture,
% 0.49/0.71 (( apply @
% 0.49/0.71 ( apply @
% 0.49/0.71 ( apply @
% 0.49/0.71 ( apply @
% 0.49/0.71 s @
% 0.49/0.71 ( apply @ k @ ( apply @ s @ ( apply @ ( apply @ s @ k ) @ k ) ) ) ) @
% 0.49/0.71 ( apply @
% 0.49/0.71 ( apply @ s @ ( apply @ ( apply @ s @ k ) @ k ) ) @
% 0.49/0.71 ( apply @ ( apply @ s @ k ) @ k ) ) ) @
% 0.49/0.71 x ) @
% 0.49/0.71 y ) =
% 0.49/0.71 ( apply @ y @ ( apply @ ( apply @ x @ x ) @ y ) ))).
% 0.49/0.71 thf(zf_stmt_0, negated_conjecture,
% 0.49/0.71 (( apply @
% 0.49/0.71 ( apply @
% 0.49/0.71 ( apply @
% 0.49/0.71 ( apply @
% 0.49/0.71 s @
% 0.49/0.71 ( apply @ k @ ( apply @ s @ ( apply @ ( apply @ s @ k ) @ k ) ) ) ) @
% 0.49/0.71 ( apply @
% 0.49/0.71 ( apply @ s @ ( apply @ ( apply @ s @ k ) @ k ) ) @
% 0.49/0.71 ( apply @ ( apply @ s @ k ) @ k ) ) ) @
% 0.49/0.71 x ) @
% 0.49/0.71 y ) !=
% 0.49/0.71 ( apply @ y @ ( apply @ ( apply @ x @ x ) @ y ) )),
% 0.49/0.71 inference('cnf.neg', [status(esa)], [prove_u_combinator])).
% 0.49/0.71 thf(zip_derived_cl2, plain,
% 0.49/0.71 (((apply @
% 0.49/0.71 (apply @
% 0.49/0.71 (apply @
% 0.49/0.71 (apply @ s @
% 0.49/0.71 (apply @ k @ (apply @ s @ (apply @ (apply @ s @ k) @ k)))) @
% 0.49/0.71 (apply @ (apply @ s @ (apply @ (apply @ s @ k) @ k)) @
% 0.49/0.71 (apply @ (apply @ s @ k) @ k))) @
% 0.49/0.71 x) @
% 0.49/0.71 y) != (apply @ y @ (apply @ (apply @ x @ x) @ y)))),
% 0.49/0.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.71 thf(s_definition, axiom,
% 0.49/0.71 (( apply @ ( apply @ ( apply @ s @ X ) @ Y ) @ Z ) =
% 0.49/0.71 ( apply @ ( apply @ X @ Z ) @ ( apply @ Y @ Z ) ))).
% 0.49/0.71 thf(zip_derived_cl0, plain,
% 0.49/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.71 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 0.49/0.71 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 0.49/0.71 inference('cnf', [status(esa)], [s_definition])).
% 0.49/0.71 thf(k_definition, axiom, (( apply @ ( apply @ k @ X ) @ Y ) = ( X ))).
% 0.49/0.71 thf(zip_derived_cl1, plain,
% 0.49/0.71 (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 0.49/0.71 inference('cnf', [status(esa)], [k_definition])).
% 0.49/0.71 thf(zip_derived_cl0, plain,
% 0.49/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.71 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 0.49/0.71 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 0.49/0.71 inference('cnf', [status(esa)], [s_definition])).
% 0.49/0.71 thf(zip_derived_cl0, plain,
% 0.49/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.71 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 0.49/0.71 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 0.49/0.71 inference('cnf', [status(esa)], [s_definition])).
% 0.49/0.71 thf(zip_derived_cl1, plain,
% 0.49/0.71 (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 0.49/0.71 inference('cnf', [status(esa)], [k_definition])).
% 0.49/0.71 thf(zip_derived_cl0, plain,
% 0.49/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.71 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 0.49/0.71 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 0.49/0.71 inference('cnf', [status(esa)], [s_definition])).
% 0.49/0.71 thf(zip_derived_cl1, plain,
% 0.49/0.71 (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 0.49/0.71 inference('cnf', [status(esa)], [k_definition])).
% 0.49/0.71 thf(zip_derived_cl0, plain,
% 0.49/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.71 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 0.49/0.71 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 0.49/0.71 inference('cnf', [status(esa)], [s_definition])).
% 0.49/0.71 thf(zip_derived_cl0, plain,
% 0.49/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.71 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 0.49/0.71 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 0.49/0.71 inference('cnf', [status(esa)], [s_definition])).
% 0.49/0.71 thf(zip_derived_cl1, plain,
% 0.49/0.71 (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 0.49/0.71 inference('cnf', [status(esa)], [k_definition])).
% 0.49/0.71 thf(zip_derived_cl16, plain,
% 0.49/0.71 (((apply @ y @ (apply @ (apply @ x @ x) @ y))
% 0.49/0.71 != (apply @ y @ (apply @ (apply @ x @ x) @ y)))),
% 0.49/0.71 inference('demod', [status(thm)],
% 0.49/0.71 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl1,
% 0.49/0.71 zip_derived_cl0, zip_derived_cl0, zip_derived_cl1,
% 0.49/0.71 zip_derived_cl0, zip_derived_cl1, zip_derived_cl0,
% 0.49/0.71 zip_derived_cl0, zip_derived_cl1])).
% 0.49/0.71 thf(zip_derived_cl17, plain, ($false),
% 0.49/0.71 inference('simplify', [status(thm)], [zip_derived_cl16])).
% 0.49/0.71
% 0.49/0.71 % SZS output end Refutation
% 0.49/0.71
% 0.49/0.71
% 0.49/0.71 % Terminating...
% 0.57/0.82 % Runner terminated.
% 1.37/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------