%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL041-1 : 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.oiSJjYxOjd true
% Computer : n026.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 04:30:13 PM UTC 2025
% Result : Unsatisfiable 19.02s 3.32s
% Output : Refutation 19.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.10 % Problem : COL041-1 : TPTP v9.2.0. Released v1.0.0.
% 0.01/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oiSJjYxOjd true
% 0.10/0.32 % Computer : n026.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 10:57:08 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.49/0.63 % Total configuration time : 435
% 0.49/0.63 % Estimated wc time : 1092
% 0.49/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 19.02/3.32 % Solved by fo/fo4.sh.
% 19.02/3.32 % done 183 iterations in 2.524s
% 19.02/3.32 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 19.02/3.32 % SZS output start Refutation
% 19.02/3.32 thf(m_type, type, m: $i).
% 19.02/3.32 thf(f_type, type, f: $i > $i).
% 19.02/3.32 thf(b_type, type, b: $i).
% 19.02/3.32 thf(apply_type, type, apply: $i > $i > $i).
% 19.02/3.32 thf(c_type, type, c: $i).
% 19.02/3.32 thf(m_definition, axiom, (( apply @ m @ X ) = ( apply @ X @ X ))).
% 19.02/3.32 thf(zip_derived_cl1, plain,
% 19.02/3.32 (![X0 : $i]: ((apply @ m @ X0) = (apply @ X0 @ X0))),
% 19.02/3.32 inference('cnf', [status(esa)], [m_definition])).
% 19.02/3.32 thf(b_definition, axiom,
% 19.02/3.32 (( apply @ ( apply @ ( apply @ b @ X ) @ Y ) @ Z ) =
% 19.02/3.32 ( apply @ X @ ( apply @ Y @ Z ) ))).
% 19.02/3.32 thf(zip_derived_cl0, plain,
% 19.02/3.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.02/3.32 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 19.02/3.32 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 19.02/3.32 inference('cnf', [status(esa)], [b_definition])).
% 19.02/3.32 thf(zip_derived_cl5, plain,
% 19.02/3.32 (![X0 : $i, X1 : $i]:
% 19.02/3.32 ((apply @ m @ (apply @ (apply @ b @ X1) @ X0))
% 19.02/3.32 = (apply @ X1 @ (apply @ X0 @ (apply @ (apply @ b @ X1) @ X0))))),
% 19.02/3.32 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 19.02/3.32 thf(c_definition, axiom,
% 19.02/3.32 (( apply @ ( apply @ ( apply @ c @ X ) @ Y ) @ Z ) =
% 19.02/3.32 ( apply @ ( apply @ X @ Z ) @ Y ))).
% 19.02/3.32 thf(zip_derived_cl2, plain,
% 19.02/3.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.02/3.32 ((apply @ (apply @ (apply @ c @ X0) @ X2) @ X1)
% 19.02/3.32 = (apply @ (apply @ X0 @ X1) @ X2))),
% 19.02/3.32 inference('cnf', [status(esa)], [c_definition])).
% 19.02/3.32 thf(zip_derived_cl0, plain,
% 19.02/3.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.02/3.32 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 19.02/3.32 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 19.02/3.32 inference('cnf', [status(esa)], [b_definition])).
% 19.02/3.32 thf(prove_fixed_point, conjecture,
% 19.02/3.32 (( apply @ Y @ ( f @ Y ) ) =
% 19.02/3.32 ( apply @ ( f @ Y ) @ ( apply @ Y @ ( f @ Y ) ) ))).
% 19.02/3.32 thf(zf_stmt_0, negated_conjecture,
% 19.02/3.32 (( apply @ Y @ ( f @ Y ) ) !=
% 19.02/3.32 ( apply @ ( f @ Y ) @ ( apply @ Y @ ( f @ Y ) ) )),
% 19.02/3.32 inference('cnf.neg', [status(esa)], [prove_fixed_point])).
% 19.02/3.32 thf(zip_derived_cl3, plain,
% 19.02/3.32 (![X0 : $i]:
% 19.02/3.32 ((apply @ X0 @ (f @ X0))
% 19.02/3.32 != (apply @ (f @ X0) @ (apply @ X0 @ (f @ X0))))),
% 19.02/3.32 inference('cnf', [status(esa)], [zf_stmt_0])).
% 19.02/3.32 thf(zip_derived_cl4, plain,
% 19.02/3.32 (![X0 : $i, X1 : $i]:
% 19.02/3.32 ((apply @ (apply @ (apply @ b @ X1) @ X0) @
% 19.02/3.32 (f @ (apply @ (apply @ b @ X1) @ X0)))
% 19.02/3.32 != (apply @ (f @ (apply @ (apply @ b @ X1) @ X0)) @
% 19.02/3.32 (apply @ X1 @
% 19.02/3.32 (apply @ X0 @ (f @ (apply @ (apply @ b @ X1) @ X0))))))),
% 19.02/3.32 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 19.02/3.32 thf(zip_derived_cl0, plain,
% 19.02/3.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.02/3.32 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 19.02/3.32 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 19.02/3.32 inference('cnf', [status(esa)], [b_definition])).
% 19.02/3.32 thf(zip_derived_cl7, plain,
% 19.02/3.32 (![X0 : $i, X1 : $i]:
% 19.02/3.32 ((apply @ X1 @ (apply @ X0 @ (f @ (apply @ (apply @ b @ X1) @ X0))))
% 19.02/3.32 != (apply @ (f @ (apply @ (apply @ b @ X1) @ X0)) @
% 19.02/3.32 (apply @ X1 @
% 19.02/3.32 (apply @ X0 @ (f @ (apply @ (apply @ b @ X1) @ X0))))))),
% 19.02/3.32 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 19.02/3.32 thf(zip_derived_cl22, plain,
% 19.02/3.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.02/3.32 ((apply @ X2 @
% 19.02/3.32 (apply @ (apply @ (apply @ c @ X1) @ X0) @
% 19.02/3.32 (f @ (apply @ (apply @ b @ X2) @ (apply @ (apply @ c @ X1) @ X0)))))
% 19.02/3.32 != (apply @
% 19.02/3.32 (f @
% 19.02/3.32 (apply @ (apply @ b @ X2) @ (apply @ (apply @ c @ X1) @ X0))) @
% 19.02/3.32 (apply @ X2 @
% 19.02/3.32 (apply @
% 19.02/3.32 (apply @ X1 @
% 19.02/3.32 (f @
% 19.02/3.32 (apply @ (apply @ b @ X2) @ (apply @ (apply @ c @ X1) @ X0)))) @
% 19.02/3.32 X0))))),
% 19.02/3.32 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 19.02/3.32 thf(zip_derived_cl2, plain,
% 19.02/3.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.02/3.32 ((apply @ (apply @ (apply @ c @ X0) @ X2) @ X1)
% 19.02/3.32 = (apply @ (apply @ X0 @ X1) @ X2))),
% 19.02/3.32 inference('cnf', [status(esa)], [c_definition])).
% 19.02/3.32 thf(zip_derived_cl27, plain,
% 19.02/3.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.02/3.32 ((apply @ X2 @
% 19.02/3.32 (apply @
% 19.02/3.32 (apply @ X1 @
% 19.02/3.32 (f @ (apply @ (apply @ b @ X2) @ (apply @ (apply @ c @ X1) @ X0)))) @
% 19.02/3.32 X0))
% 19.02/3.32 != (apply @
% 19.02/3.32 (f @
% 19.02/3.32 (apply @ (apply @ b @ X2) @ (apply @ (apply @ c @ X1) @ X0))) @
% 19.02/3.32 (apply @ X2 @
% 19.02/3.32 (apply @
% 19.02/3.32 (apply @ X1 @
% 19.02/3.32 (f @
% 19.02/3.32 (apply @ (apply @ b @ X2) @ (apply @ (apply @ c @ X1) @ X0)))) @
% 19.02/3.32 X0))))),
% 19.02/3.32 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl2])).
% 19.02/3.32 thf(zip_derived_cl3102, plain,
% 19.02/3.32 (![X0 : $i]:
% 19.02/3.32 ((apply @ X0 @
% 19.02/3.32 (apply @
% 19.02/3.32 (apply @ b @
% 19.02/3.32 (f @ (apply @ (apply @ b @ X0) @ (apply @ (apply @ c @ b) @ X0)))) @
% 19.02/3.32 X0))
% 19.02/3.32 != (apply @ m @
% 19.02/3.32 (apply @
% 19.02/3.32 (apply @ b @
% 19.02/3.32 (f @
% 19.02/3.32 (apply @ (apply @ b @ X0) @ (apply @ (apply @ c @ b) @ X0)))) @
% 19.02/3.32 X0)))),
% 19.02/3.32 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl27])).
% 19.02/3.32 thf(zip_derived_cl3394, plain, ($false),
% 19.02/3.32 inference('eq_res', [status(thm)], [zip_derived_cl3102])).
% 19.02/3.32
% 19.02/3.32 % SZS output end Refutation
% 19.02/3.32
% 19.02/3.32
% 19.02/3.32 % Terminating...
% 19.80/3.48 % Runner terminated.
% 19.80/3.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------