%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL081-2 : 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.74ToSIczEn true
% Computer : n029.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 04:30:22 PM UTC 2025
% Result : Unsatisfiable 0.60s 1.01s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL081-2 : TPTP v9.2.0. Released v1.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.74ToSIczEn true
% 0.14/0.35 % Computer : n029.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 11:00:11 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.57/0.67 % Total configuration time : 435
% 0.57/0.67 % Estimated wc time : 1092
% 0.57/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/1.01 % Solved by fo/fo5.sh.
% 0.60/1.01 % done 110 iterations in 0.185s
% 0.60/1.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/1.01 % SZS output start Refutation
% 0.60/1.01 thf(b_type, type, b: $i).
% 0.60/1.01 thf(k_type, type, k: $i > $i).
% 0.60/1.01 thf(apply_type, type, apply: $i > $i > $i).
% 0.60/1.01 thf(n_type, type, n: $i > $i > $i).
% 0.60/1.01 thf(abstraction_type, type, abstraction: $i).
% 0.60/1.01 thf(prove_TRC2c, conjecture,
% 0.60/1.01 (( k @ ( k @ b ) ) = ( apply @ abstraction @ ( k @ ( k @ b ) ) ))).
% 0.60/1.01 thf(zf_stmt_0, negated_conjecture,
% 0.60/1.01 (( k @ ( k @ b ) ) != ( apply @ abstraction @ ( k @ ( k @ b ) ) )),
% 0.60/1.01 inference('cnf.neg', [status(esa)], [prove_TRC2c])).
% 0.60/1.01 thf(zip_derived_cl4, plain,
% 0.60/1.01 (((k @ (k @ b)) != (apply @ abstraction @ (k @ (k @ b))))),
% 0.60/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/1.01 thf(abstraction, axiom,
% 0.60/1.01 (( apply @ ( apply @ ( apply @ abstraction @ X ) @ Y ) @ Z ) =
% 0.60/1.01 ( apply @ ( apply @ X @ ( k @ Z ) ) @ ( apply @ Y @ Z ) ))).
% 0.60/1.01 thf(zip_derived_cl1, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.01 ((apply @ (apply @ (apply @ abstraction @ X0) @ X2) @ X1)
% 0.60/1.01 = (apply @ (apply @ X0 @ (k @ X1)) @ (apply @ X2 @ X1)))),
% 0.60/1.01 inference('cnf', [status(esa)], [abstraction])).
% 0.60/1.01 thf(zip_derived_cl1, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.01 ((apply @ (apply @ (apply @ abstraction @ X0) @ X2) @ X1)
% 0.60/1.01 = (apply @ (apply @ X0 @ (k @ X1)) @ (apply @ X2 @ X1)))),
% 0.60/1.01 inference('cnf', [status(esa)], [abstraction])).
% 0.60/1.01 thf(zip_derived_cl13, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.01 ((apply @
% 0.60/1.01 (apply @ (apply @ (apply @ abstraction @ abstraction) @ X1) @ X0) @
% 0.60/1.01 X2)
% 0.60/1.01 = (apply @ (apply @ (k @ X0) @ (k @ X2)) @
% 0.60/1.01 (apply @ (apply @ X1 @ X0) @ X2)))),
% 0.60/1.01 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 0.60/1.01 thf(k_definition, axiom, (( apply @ ( k @ X ) @ Y ) = ( X ))).
% 0.60/1.01 thf(zip_derived_cl0, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i]: ((apply @ (k @ X0) @ X1) = (X0))),
% 0.60/1.01 inference('cnf', [status(esa)], [k_definition])).
% 0.60/1.01 thf(zip_derived_cl20, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.01 ((apply @
% 0.60/1.01 (apply @ (apply @ (apply @ abstraction @ abstraction) @ X1) @ X0) @
% 0.60/1.01 X2) = (apply @ X0 @ (apply @ (apply @ X1 @ X0) @ X2)))),
% 0.60/1.01 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 0.60/1.01 thf(zip_derived_cl0, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i]: ((apply @ (k @ X0) @ X1) = (X0))),
% 0.60/1.01 inference('cnf', [status(esa)], [k_definition])).
% 0.60/1.01 thf(zip_derived_cl901, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.01 ((apply @
% 0.60/1.01 (apply @ (apply @ (apply @ abstraction @ abstraction) @ X2) @
% 0.60/1.01 (k @ X1)) @
% 0.60/1.01 X0) = (X1))),
% 0.60/1.01 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 0.60/1.01 thf(zip_derived_cl0, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i]: ((apply @ (k @ X0) @ X1) = (X0))),
% 0.60/1.01 inference('cnf', [status(esa)], [k_definition])).
% 0.60/1.01 thf(extensionality2, axiom,
% 0.60/1.01 (( ( X ) = ( Y ) ) |
% 0.60/1.01 ( ( apply @ X @ ( n @ X @ Y ) ) != ( apply @ Y @ ( n @ X @ Y ) ) ))).
% 0.60/1.01 thf(zip_derived_cl2, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i]:
% 0.60/1.01 (((X1) = (X0))
% 0.60/1.01 | ((apply @ X1 @ (n @ X1 @ X0)) != (apply @ X0 @ (n @ X1 @ X0))))),
% 0.60/1.01 inference('cnf', [status(esa)], [extensionality2])).
% 0.60/1.01 thf(zip_derived_cl5, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i]:
% 0.60/1.01 (((X0) != (apply @ X1 @ (n @ (k @ X0) @ X1))) | ((k @ X0) = (X1)))),
% 0.60/1.01 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.60/1.01 thf(zip_derived_cl1022, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.01 (((X2) != (X0))
% 0.60/1.01 | ((k @ X2)
% 0.60/1.01 = (apply @ (apply @ (apply @ abstraction @ abstraction) @ X1) @
% 0.60/1.01 (k @ X0))))),
% 0.60/1.01 inference('sup-', [status(thm)], [zip_derived_cl901, zip_derived_cl5])).
% 0.60/1.01 thf(zip_derived_cl1040, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i]:
% 0.60/1.01 ((k @ X0)
% 0.60/1.01 = (apply @ (apply @ (apply @ abstraction @ abstraction) @ X1) @
% 0.60/1.01 (k @ X0)))),
% 0.60/1.01 inference('eq_res', [status(thm)], [zip_derived_cl1022])).
% 0.60/1.01 thf(zip_derived_cl0, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i]: ((apply @ (k @ X0) @ X1) = (X0))),
% 0.60/1.01 inference('cnf', [status(esa)], [k_definition])).
% 0.60/1.01 thf(zip_derived_cl1, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.01 ((apply @ (apply @ (apply @ abstraction @ X0) @ X2) @ X1)
% 0.60/1.01 = (apply @ (apply @ X0 @ (k @ X1)) @ (apply @ X2 @ X1)))),
% 0.60/1.01 inference('cnf', [status(esa)], [abstraction])).
% 0.60/1.01 thf(zip_derived_cl16, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.01 ((apply @ (apply @ (apply @ abstraction @ X2) @ (k @ X0)) @ X1)
% 0.60/1.01 = (apply @ (apply @ X2 @ (k @ X1)) @ X0))),
% 0.60/1.01 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.60/1.01 thf(zip_derived_cl1057, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i]:
% 0.60/1.01 ((k @ X0) = (apply @ (apply @ abstraction @ (k @ (k @ X0))) @ X1))),
% 0.60/1.01 inference('sup+', [status(thm)], [zip_derived_cl1040, zip_derived_cl16])).
% 0.60/1.01 thf(zip_derived_cl5, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i]:
% 0.60/1.01 (((X0) != (apply @ X1 @ (n @ (k @ X0) @ X1))) | ((k @ X0) = (X1)))),
% 0.60/1.01 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.60/1.01 thf(zip_derived_cl1081, plain,
% 0.60/1.01 (![X0 : $i, X1 : $i]:
% 0.60/1.01 (((X1) != (k @ X0))
% 0.60/1.01 | ((k @ X1) = (apply @ abstraction @ (k @ (k @ X0)))))),
% 0.60/1.01 inference('sup-', [status(thm)], [zip_derived_cl1057, zip_derived_cl5])).
% 0.60/1.01 thf(zip_derived_cl1118, plain,
% 0.60/1.01 (![X0 : $i]: ((k @ (k @ X0)) = (apply @ abstraction @ (k @ (k @ X0))))),
% 0.60/1.01 inference('eq_res', [status(thm)], [zip_derived_cl1081])).
% 0.60/1.01 thf(zip_derived_cl1119, plain, (((k @ (k @ b)) != (k @ (k @ b)))),
% 0.60/1.01 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl1118])).
% 0.60/1.01 thf(zip_derived_cl1120, plain, ($false),
% 0.60/1.01 inference('simplify', [status(thm)], [zip_derived_cl1119])).
% 0.60/1.01
% 0.60/1.01 % SZS output end Refutation
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 % Terminating...
% 0.88/1.09 % Runner terminated.
% 0.88/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------