%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL004-1 : 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.1IHfQw7NPH true
% Computer : n028.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 8.54s 1.83s
% Output : Refutation 8.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : COL004-1 : TPTP v9.2.0. Released v1.0.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1IHfQw7NPH true
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 10:55:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.53/0.66 % Total configuration time : 435
% 0.53/0.66 % Estimated wc time : 1092
% 0.53/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.54/1.83 % Solved by fo/fo6_bce.sh.
% 8.54/1.83 % BCE start: 3
% 8.54/1.83 % BCE eliminated: 0
% 8.54/1.83 % PE start: 3
% 8.54/1.83 logic: eq
% 8.54/1.83 % PE eliminated: 0
% 8.54/1.83 % done 111 iterations in 1.084s
% 8.54/1.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.54/1.83 % SZS output start Refutation
% 8.54/1.83 thf(k_type, type, k: $i).
% 8.54/1.83 thf(s_type, type, s: $i).
% 8.54/1.83 thf(apply_type, type, apply: $i > $i > $i).
% 8.54/1.83 thf(f_type, type, f: $i > $i).
% 8.54/1.83 thf(g_type, type, g: $i > $i).
% 8.54/1.83 thf(k_definition, axiom, (( apply @ ( apply @ k @ X ) @ Y ) = ( X ))).
% 8.54/1.83 thf(zip_derived_cl1, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 8.54/1.83 inference('cnf', [status(esa)], [k_definition])).
% 8.54/1.83 thf(s_definition, axiom,
% 8.54/1.83 (( apply @ ( apply @ ( apply @ s @ X ) @ Y ) @ Z ) =
% 8.54/1.83 ( apply @ ( apply @ X @ Z ) @ ( apply @ Y @ Z ) ))).
% 8.54/1.83 thf(zip_derived_cl0, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.54/1.83 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 8.54/1.83 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 8.54/1.83 inference('cnf', [status(esa)], [s_definition])).
% 8.54/1.83 thf(zip_derived_cl14, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.54/1.83 ((apply @ (apply @ (apply @ s @ (apply @ k @ X0)) @ X2) @ X1)
% 8.54/1.83 = (apply @ X0 @ (apply @ X2 @ X1)))),
% 8.54/1.83 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 8.54/1.83 thf(zip_derived_cl0, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.54/1.83 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 8.54/1.83 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 8.54/1.83 inference('cnf', [status(esa)], [s_definition])).
% 8.54/1.83 thf(zip_derived_cl1, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 8.54/1.83 inference('cnf', [status(esa)], [k_definition])).
% 8.54/1.83 thf(zip_derived_cl0, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.54/1.83 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 8.54/1.83 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 8.54/1.83 inference('cnf', [status(esa)], [s_definition])).
% 8.54/1.83 thf(zip_derived_cl9, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i]:
% 8.54/1.83 ((apply @ (apply @ (apply @ s @ k) @ X1) @ X0) = (X0))),
% 8.54/1.83 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 8.54/1.83 thf(zip_derived_cl0, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.54/1.83 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 8.54/1.83 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 8.54/1.83 inference('cnf', [status(esa)], [s_definition])).
% 8.54/1.83 thf(zip_derived_cl31, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.54/1.83 ((apply @
% 8.54/1.83 (apply @ (apply @ s @ X2) @ (apply @ (apply @ s @ k) @ X1)) @ X0)
% 8.54/1.83 = (apply @ (apply @ X2 @ X0) @ X0))),
% 8.54/1.83 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 8.54/1.83 thf(zip_derived_cl102, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i]:
% 8.54/1.83 ((apply @
% 8.54/1.83 (apply @ (apply @ (apply @ s @ s) @ (apply @ s @ k)) @ X0) @ X1)
% 8.54/1.83 = (apply @ (apply @ X0 @ X1) @ X1))),
% 8.54/1.83 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl31])).
% 8.54/1.83 thf(zip_derived_cl9, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i]:
% 8.54/1.83 ((apply @ (apply @ (apply @ s @ k) @ X1) @ X0) = (X0))),
% 8.54/1.83 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 8.54/1.83 thf(zip_derived_cl0, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.54/1.83 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 8.54/1.83 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 8.54/1.83 inference('cnf', [status(esa)], [s_definition])).
% 8.54/1.83 thf(zip_derived_cl36, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i]:
% 8.54/1.83 ((apply @ (apply @ (apply @ s @ (apply @ s @ k)) @ X1) @ X0)
% 8.54/1.83 = (apply @ X1 @ X0))),
% 8.54/1.83 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 8.54/1.83 thf(zip_derived_cl253, plain,
% 8.54/1.83 (![X0 : $i]:
% 8.54/1.83 ((apply @
% 8.54/1.83 (apply @ (apply @ (apply @ s @ s) @ (apply @ s @ k)) @
% 8.54/1.83 (apply @ s @ (apply @ s @ k))) @
% 8.54/1.83 X0) = (apply @ X0 @ X0))),
% 8.54/1.83 inference('s_sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl36])).
% 8.54/1.83 thf(zip_derived_cl0, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.54/1.83 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 8.54/1.83 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 8.54/1.83 inference('cnf', [status(esa)], [s_definition])).
% 8.54/1.83 thf(zip_derived_cl256, plain,
% 8.54/1.83 (![X0 : $i]:
% 8.54/1.83 ((apply @
% 8.54/1.83 (apply @ (apply @ (apply @ s @ (apply @ s @ s)) @ s) @
% 8.54/1.83 (apply @ s @ k)) @
% 8.54/1.83 X0) = (apply @ X0 @ X0))),
% 8.54/1.83 inference('demod', [status(thm)], [zip_derived_cl253, zip_derived_cl0])).
% 8.54/1.83 thf(zip_derived_cl9, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i]:
% 8.54/1.83 ((apply @ (apply @ (apply @ s @ k) @ X1) @ X0) = (X0))),
% 8.54/1.83 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 8.54/1.83 thf(zip_derived_cl0, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.54/1.83 ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 8.54/1.83 = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 8.54/1.83 inference('cnf', [status(esa)], [s_definition])).
% 8.54/1.83 thf(zip_derived_cl30, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.54/1.83 ((apply @
% 8.54/1.83 (apply @ (apply @ s @ (apply @ (apply @ s @ k) @ X2)) @ X1) @ X0)
% 8.54/1.83 = (apply @ X0 @ (apply @ X1 @ X0)))),
% 8.54/1.83 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 8.54/1.83 thf(prove_u_combinator, conjecture,
% 8.54/1.83 (( apply @ ( apply @ Z @ ( f @ Z ) ) @ ( g @ Z ) ) =
% 8.54/1.83 ( apply @
% 8.54/1.83 ( g @ Z ) @ ( apply @ ( apply @ ( f @ Z ) @ ( f @ Z ) ) @ ( g @ Z ) ) ))).
% 8.54/1.83 thf(zf_stmt_0, negated_conjecture,
% 8.54/1.83 (( apply @ ( apply @ Z @ ( f @ Z ) ) @ ( g @ Z ) ) !=
% 8.54/1.83 ( apply @
% 8.54/1.83 ( g @ Z ) @ ( apply @ ( apply @ ( f @ Z ) @ ( f @ Z ) ) @ ( g @ Z ) ) )),
% 8.54/1.83 inference('cnf.neg', [status(esa)], [prove_u_combinator])).
% 8.54/1.83 thf(zip_derived_cl2, plain,
% 8.54/1.83 (![X0 : $i]:
% 8.54/1.83 ((apply @ (apply @ X0 @ (f @ X0)) @ (g @ X0))
% 8.54/1.83 != (apply @ (g @ X0) @
% 8.54/1.83 (apply @ (apply @ (f @ X0) @ (f @ X0)) @ (g @ X0))))),
% 8.54/1.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.54/1.83 thf(zip_derived_cl49, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i]:
% 8.54/1.83 ((apply @ (apply @ X0 @ (f @ X0)) @ (g @ X0))
% 8.54/1.83 != (apply @
% 8.54/1.83 (apply @ (apply @ s @ (apply @ (apply @ s @ k) @ X1)) @
% 8.54/1.83 (apply @ (f @ X0) @ (f @ X0))) @
% 8.54/1.83 (g @ X0)))),
% 8.54/1.83 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl2])).
% 8.54/1.83 thf(zip_derived_cl1030, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i]:
% 8.54/1.83 ((apply @ (apply @ X0 @ (f @ X0)) @ (g @ X0))
% 8.54/1.83 != (apply @
% 8.54/1.83 (apply @ (apply @ s @ (apply @ (apply @ s @ k) @ X1)) @
% 8.54/1.83 (apply @
% 8.54/1.83 (apply @ (apply @ (apply @ s @ (apply @ s @ s)) @ s) @
% 8.54/1.83 (apply @ s @ k)) @
% 8.54/1.83 (f @ X0))) @
% 8.54/1.83 (g @ X0)))),
% 8.54/1.83 inference('s_sup-', [status(thm)], [zip_derived_cl256, zip_derived_cl49])).
% 8.54/1.83 thf(zip_derived_cl1219, plain,
% 8.54/1.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.54/1.83 ((apply @
% 8.54/1.83 (apply @ X1 @
% 8.54/1.83 (apply @ X0 @ (f @ (apply @ (apply @ s @ (apply @ k @ X1)) @ X0)))) @
% 8.54/1.83 (g @ (apply @ (apply @ s @ (apply @ k @ X1)) @ X0)))
% 8.54/1.83 != (apply @
% 8.54/1.83 (apply @ (apply @ s @ (apply @ (apply @ s @ k) @ X2)) @
% 8.54/1.83 (apply @
% 8.54/1.83 (apply @ (apply @ (apply @ s @ (apply @ s @ s)) @ s) @
% 8.54/1.83 (apply @ s @ k)) @
% 8.54/1.83 (f @ (apply @ (apply @ s @ (apply @ k @ X1)) @ X0)))) @
% 8.54/1.83 (g @ (apply @ (apply @ s @ (apply @ k @ X1)) @ X0))))),
% 8.54/1.83 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl1030])).
% 8.54/1.83 thf(zip_derived_cl2353, plain, ($false),
% 8.54/1.83 inference('eq_res', [status(thm)], [zip_derived_cl1219])).
% 8.54/1.83
% 8.54/1.83 % SZS output end Refutation
% 8.54/1.83
% 8.54/1.83
% 8.54/1.83 % Terminating...
% 8.86/1.91 % Runner terminated.
% 8.86/1.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------