%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL075-1 : TPTP v9.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DinrUKHK6l true
% Computer : n023.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 04:30:21 PM UTC 2025
% Result : Unsatisfiable 6.54s 1.50s
% Output : Refutation 6.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : COL075-1 : TPTP v9.2.0. Released v1.2.0.
% 0.02/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DinrUKHK6l true
% 0.09/0.30 % Computer : n023.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 10:59:08 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.30 % Python version: Python 3.6.8
% 0.09/0.31 % Running in FO mode
% 0.47/0.57 % Total configuration time : 435
% 0.47/0.57 % Estimated wc time : 1092
% 0.47/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.91/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.91/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.91/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.91/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.91/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.91/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.91/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 6.54/1.50 % Solved by fo/fo13.sh.
% 6.54/1.50 % done 292 iterations in 0.794s
% 6.54/1.50 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.54/1.50 % SZS output start Refutation
% 6.54/1.50 thf(b_type, type, b: $i > $i).
% 6.54/1.50 thf(c_type, type, c: $i > $i).
% 6.54/1.50 thf(k_type, type, k: $i).
% 6.54/1.50 thf(apply_type, type, apply: $i > $i > $i).
% 6.54/1.50 thf(abstraction_type, type, abstraction: $i).
% 6.54/1.50 thf(abstraction, axiom,
% 6.54/1.50 (( apply @ ( apply @ ( apply @ abstraction @ X ) @ Y ) @ Z ) =
% 6.54/1.50 ( apply @ ( apply @ X @ ( apply @ k @ Z ) ) @ ( apply @ Y @ Z ) ))).
% 6.54/1.50 thf(zip_derived_cl5, plain,
% 6.54/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.50 ((apply @ (apply @ (apply @ abstraction @ X0) @ X2) @ X1)
% 6.54/1.50 = (apply @ (apply @ X0 @ (apply @ k @ X1)) @ (apply @ X2 @ X1)))),
% 6.54/1.50 inference('cnf', [status(esa)], [abstraction])).
% 6.54/1.50 thf(k_definition, axiom, (( apply @ ( apply @ k @ X ) @ Y ) = ( X ))).
% 6.54/1.50 thf(zip_derived_cl0, plain,
% 6.54/1.50 (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 6.54/1.50 inference('cnf', [status(esa)], [k_definition])).
% 6.54/1.50 thf(zip_derived_cl5, plain,
% 6.54/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.50 ((apply @ (apply @ (apply @ abstraction @ X0) @ X2) @ X1)
% 6.54/1.50 = (apply @ (apply @ X0 @ (apply @ k @ X1)) @ (apply @ X2 @ X1)))),
% 6.54/1.50 inference('cnf', [status(esa)], [abstraction])).
% 6.54/1.50 thf(zip_derived_cl64, plain,
% 6.54/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.50 ((apply @ (apply @ (apply @ abstraction @ X2) @ (apply @ k @ X0)) @ X1)
% 6.54/1.50 = (apply @ (apply @ X2 @ (apply @ k @ X1)) @ X0))),
% 6.54/1.50 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 6.54/1.50 thf(zip_derived_cl2509, plain,
% 6.54/1.50 (![X0 : $i, X1 : $i]:
% 6.54/1.50 ((apply @
% 6.54/1.50 (apply @ (apply @ (apply @ abstraction @ abstraction) @ k) @ X0) @
% 6.54/1.50 X1) = (apply @ (apply @ (apply @ k @ X0) @ (apply @ k @ X1)) @ X0))),
% 6.54/1.50 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl64])).
% 6.54/1.50 thf(zip_derived_cl0, plain,
% 6.54/1.50 (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 6.54/1.50 inference('cnf', [status(esa)], [k_definition])).
% 6.54/1.50 thf(zip_derived_cl2512, plain,
% 6.54/1.50 (![X0 : $i, X1 : $i]:
% 6.54/1.50 ((apply @
% 6.54/1.50 (apply @ (apply @ (apply @ abstraction @ abstraction) @ k) @ X0) @
% 6.54/1.50 X1) = (apply @ X0 @ X0))),
% 6.54/1.50 inference('demod', [status(thm)], [zip_derived_cl2509, zip_derived_cl0])).
% 6.54/1.50 thf(prove_diagonal_combinator, conjecture,
% 6.54/1.50 (( apply @ ( apply @ Y @ ( b @ Y ) ) @ ( c @ Y ) ) =
% 6.54/1.50 ( apply @ ( b @ Y ) @ ( b @ Y ) ))).
% 6.54/1.50 thf(zf_stmt_0, negated_conjecture,
% 6.54/1.50 (( apply @ ( apply @ Y @ ( b @ Y ) ) @ ( c @ Y ) ) !=
% 6.54/1.50 ( apply @ ( b @ Y ) @ ( b @ Y ) )),
% 6.54/1.50 inference('cnf.neg', [status(esa)], [prove_diagonal_combinator])).
% 6.54/1.50 thf(zip_derived_cl10, plain,
% 6.54/1.50 (![X0 : $i]:
% 6.54/1.50 ((apply @ (apply @ X0 @ (b @ X0)) @ (c @ X0))
% 6.54/1.50 != (apply @ (b @ X0) @ (b @ X0)))),
% 6.54/1.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.54/1.50 thf(zip_derived_cl2651, plain,
% 6.54/1.50 (((apply @ (b @ (apply @ (apply @ abstraction @ abstraction) @ k)) @
% 6.54/1.50 (b @ (apply @ (apply @ abstraction @ abstraction) @ k)))
% 6.54/1.50 != (apply @ (b @ (apply @ (apply @ abstraction @ abstraction) @ k)) @
% 6.54/1.50 (b @ (apply @ (apply @ abstraction @ abstraction) @ k))))),
% 6.54/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl2512, zip_derived_cl10])).
% 6.54/1.50 thf(zip_derived_cl2669, plain, ($false),
% 6.54/1.50 inference('simplify', [status(thm)], [zip_derived_cl2651])).
% 6.54/1.50
% 6.54/1.50 % SZS output end Refutation
% 6.54/1.50
% 6.54/1.50
% 6.54/1.50 % Terminating...
% 7.37/1.65 % Runner terminated.
% 7.37/1.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------