%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL080-2 : TPTP v9.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Sx4r4X9EQs true
% Computer : n031.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 51.03s 7.94s
% Output : Refutation 51.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL080-2 : TPTP v9.2.0. Released v1.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Sx4r4X9EQs true
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 10:58:08 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.68 % Total configuration time : 435
% 0.56/0.68 % Estimated wc time : 1092
% 0.56/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 51.03/7.94 % Solved by fo/fo5.sh.
% 51.03/7.94 % done 1122 iterations in 7.119s
% 51.03/7.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 51.03/7.94 % SZS output start Refutation
% 51.03/7.94 thf(b_type, type, b: $i).
% 51.03/7.94 thf(k_type, type, k: $i > $i).
% 51.03/7.94 thf(apply_type, type, apply: $i > $i > $i).
% 51.03/7.94 thf(n_type, type, n: $i > $i > $i).
% 51.03/7.94 thf(abstraction_type, type, abstraction: $i).
% 51.03/7.94 thf(prove_TRC2b, conjecture,
% 51.03/7.94 (( k @ b ) = ( apply @ abstraction @ ( apply @ abstraction @ ( k @ b ) ) ))).
% 51.03/7.94 thf(zf_stmt_0, negated_conjecture,
% 51.03/7.94 (( k @ b ) != ( apply @ abstraction @ ( apply @ abstraction @ ( k @ b ) ) )),
% 51.03/7.94 inference('cnf.neg', [status(esa)], [prove_TRC2b])).
% 51.03/7.94 thf(zip_derived_cl4, plain,
% 51.03/7.94 (((k @ b) != (apply @ abstraction @ (apply @ abstraction @ (k @ b))))),
% 51.03/7.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 51.03/7.94 thf(k_definition, axiom, (( apply @ ( k @ X ) @ Y ) = ( X ))).
% 51.03/7.94 thf(zip_derived_cl0, plain,
% 51.03/7.94 (![X0 : $i, X1 : $i]: ((apply @ (k @ X0) @ X1) = (X0))),
% 51.03/7.94 inference('cnf', [status(esa)], [k_definition])).
% 51.03/7.94 thf(abstraction, axiom,
% 51.03/7.94 (( apply @ ( apply @ ( apply @ abstraction @ X ) @ Y ) @ Z ) =
% 51.03/7.94 ( apply @ ( apply @ X @ ( k @ Z ) ) @ ( apply @ Y @ Z ) ))).
% 51.03/7.94 thf(zip_derived_cl1, plain,
% 51.03/7.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.03/7.94 ((apply @ (apply @ (apply @ abstraction @ X0) @ X2) @ X1)
% 51.03/7.94 = (apply @ (apply @ X0 @ (k @ X1)) @ (apply @ X2 @ X1)))),
% 51.03/7.94 inference('cnf', [status(esa)], [abstraction])).
% 51.03/7.94 thf(zip_derived_cl18, plain,
% 51.03/7.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.03/7.94 ((apply @ (apply @ (apply @ abstraction @ (k @ X0)) @ X2) @ X1)
% 51.03/7.94 = (apply @ X0 @ (apply @ X2 @ X1)))),
% 51.03/7.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 51.03/7.94 thf(zip_derived_cl1, plain,
% 51.03/7.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.03/7.94 ((apply @ (apply @ (apply @ abstraction @ X0) @ X2) @ X1)
% 51.03/7.94 = (apply @ (apply @ X0 @ (k @ X1)) @ (apply @ X2 @ X1)))),
% 51.03/7.94 inference('cnf', [status(esa)], [abstraction])).
% 51.03/7.94 thf(zip_derived_cl40, plain,
% 51.03/7.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.03/7.94 ((apply @
% 51.03/7.94 (apply @ (apply @ abstraction @ (apply @ abstraction @ (k @ X2))) @
% 51.03/7.94 X1) @
% 51.03/7.94 X0) = (apply @ X2 @ (apply @ (k @ X0) @ (apply @ X1 @ X0))))),
% 51.03/7.94 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 51.03/7.94 thf(zip_derived_cl0, plain,
% 51.03/7.94 (![X0 : $i, X1 : $i]: ((apply @ (k @ X0) @ X1) = (X0))),
% 51.03/7.94 inference('cnf', [status(esa)], [k_definition])).
% 51.03/7.94 thf(zip_derived_cl43, plain,
% 51.03/7.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.03/7.94 ((apply @
% 51.03/7.94 (apply @ (apply @ abstraction @ (apply @ abstraction @ (k @ X2))) @
% 51.03/7.94 X1) @
% 51.03/7.94 X0) = (apply @ X2 @ X0))),
% 51.03/7.94 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 51.03/7.94 thf(extensionality2, axiom,
% 51.03/7.94 (( ( X ) = ( Y ) ) |
% 51.03/7.94 ( ( apply @ X @ ( n @ X @ Y ) ) != ( apply @ Y @ ( n @ X @ Y ) ) ))).
% 51.03/7.94 thf(zip_derived_cl2, plain,
% 51.03/7.94 (![X0 : $i, X1 : $i]:
% 51.03/7.94 (((X1) = (X0))
% 51.03/7.94 | ((apply @ X1 @ (n @ X1 @ X0)) != (apply @ X0 @ (n @ X1 @ X0))))),
% 51.03/7.94 inference('cnf', [status(esa)], [extensionality2])).
% 51.03/7.94 thf(zip_derived_cl242, plain,
% 51.03/7.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.03/7.94 (((apply @ X2 @
% 51.03/7.94 (n @ X2 @
% 51.03/7.94 (apply @
% 51.03/7.94 (apply @ abstraction @ (apply @ abstraction @ (k @ X1))) @ X0)))
% 51.03/7.94 != (apply @ X1 @
% 51.03/7.94 (n @ X2 @
% 51.03/7.94 (apply @
% 51.03/7.94 (apply @ abstraction @ (apply @ abstraction @ (k @ X1))) @ X0))))
% 51.03/7.94 | ((X2)
% 51.03/7.94 = (apply @
% 51.03/7.94 (apply @ abstraction @ (apply @ abstraction @ (k @ X1))) @ X0)))),
% 51.03/7.94 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl2])).
% 51.03/7.94 thf(zip_derived_cl23711, plain,
% 51.03/7.94 (![X0 : $i, X1 : $i]:
% 51.03/7.94 ((X0)
% 51.03/7.94 = (apply @
% 51.03/7.94 (apply @ abstraction @ (apply @ abstraction @ (k @ X0))) @ X1))),
% 51.03/7.94 inference('eq_res', [status(thm)], [zip_derived_cl242])).
% 51.03/7.94 thf(zip_derived_cl0, plain,
% 51.03/7.94 (![X0 : $i, X1 : $i]: ((apply @ (k @ X0) @ X1) = (X0))),
% 51.03/7.94 inference('cnf', [status(esa)], [k_definition])).
% 51.03/7.94 thf(zip_derived_cl2, plain,
% 51.03/7.94 (![X0 : $i, X1 : $i]:
% 51.03/7.94 (((X1) = (X0))
% 51.03/7.94 | ((apply @ X1 @ (n @ X1 @ X0)) != (apply @ X0 @ (n @ X1 @ X0))))),
% 51.03/7.94 inference('cnf', [status(esa)], [extensionality2])).
% 51.03/7.94 thf(zip_derived_cl5, plain,
% 51.03/7.94 (![X0 : $i, X1 : $i]:
% 51.03/7.94 (((X0) != (apply @ X1 @ (n @ (k @ X0) @ X1))) | ((k @ X0) = (X1)))),
% 51.03/7.94 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 51.03/7.94 thf(zip_derived_cl23830, plain,
% 51.03/7.94 (![X0 : $i, X1 : $i]:
% 51.03/7.94 (((X1) != (X0))
% 51.03/7.94 | ((k @ X1)
% 51.03/7.94 = (apply @ abstraction @ (apply @ abstraction @ (k @ X0)))))),
% 51.03/7.94 inference('sup-', [status(thm)], [zip_derived_cl23711, zip_derived_cl5])).
% 51.03/7.94 thf(zip_derived_cl24008, plain,
% 51.03/7.94 (![X0 : $i]:
% 51.03/7.94 ((k @ X0) = (apply @ abstraction @ (apply @ abstraction @ (k @ X0))))),
% 51.03/7.94 inference('eq_res', [status(thm)], [zip_derived_cl23830])).
% 51.03/7.94 thf(zip_derived_cl24009, plain, (((k @ b) != (k @ b))),
% 51.03/7.94 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl24008])).
% 51.03/7.94 thf(zip_derived_cl24010, plain, ($false),
% 51.03/7.94 inference('simplify', [status(thm)], [zip_derived_cl24009])).
% 51.03/7.94
% 51.03/7.94 % SZS output end Refutation
% 51.03/7.94
% 51.03/7.94
% 51.03/7.94 % Terminating...
% 51.57/8.01 % Runner terminated.
% 51.57/8.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------