%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL074-3 : 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.KUqqjGcvZ0 true
% Computer : n007.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 04:30:20 PM UTC 2025
% Result : Unsatisfiable 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COL074-3 : TPTP v9.2.0. Released v1.2.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KUqqjGcvZ0 true
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 11:02:38 EDT 2025
% 0.18/0.33 % CPUTime :
% 0.18/0.33 % Running portfolio for 300 s
% 0.18/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.33 % Number of cores: 8
% 0.18/0.34 % Python version: Python 3.6.8
% 0.18/0.34 % Running in FO mode
% 0.52/0.62 % Total configuration time : 435
% 0.52/0.62 % Estimated wc time : 1092
% 0.52/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.75 % Solved by fo/fo6_bce.sh.
% 0.54/0.75 % BCE start: 13
% 0.54/0.75 % BCE eliminated: 0
% 0.54/0.75 % PE start: 13
% 0.54/0.75 logic: eq
% 0.54/0.75 % PE eliminated: 0
% 0.54/0.75 % done 60 iterations in 0.049s
% 0.54/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.75 % SZS output start Refutation
% 0.54/0.75 thf(k_projection2_type, type, k_projection2: $i).
% 0.54/0.75 thf(projection1_type, type, projection1: $i).
% 0.54/0.75 thf(pair_type, type, pair: $i > $i > $i).
% 0.54/0.75 thf(projection2_type, type, projection2: $i).
% 0.54/0.75 thf(n_type, type, n: $i > $i > $i).
% 0.54/0.75 thf(k_type, type, k: $i).
% 0.54/0.75 thf(apply_type, type, apply: $i > $i > $i).
% 0.54/0.75 thf(eq_type, type, eq: $i).
% 0.54/0.75 thf(s_type, type, s: $i).
% 0.54/0.75 thf(self_referential, axiom,
% 0.54/0.75 (( s ) =
% 0.54/0.75 ( apply @ eq @ ( pair @ ( apply @ k @ s ) @ ( apply @ k @ projection2 ) ) ))).
% 0.54/0.75 thf(zip_derived_cl12, plain,
% 0.54/0.75 (((s)
% 0.54/0.75 = (apply @ eq @ (pair @ (apply @ k @ s) @ (apply @ k @ projection2))))),
% 0.54/0.75 inference('cnf', [status(esa)], [self_referential])).
% 0.54/0.75 thf(k_projection2, axiom, (( apply @ k @ projection2 ) = ( k_projection2 ))).
% 0.54/0.75 thf(zip_derived_cl11, plain, (((apply @ k @ projection2) = (k_projection2))),
% 0.54/0.75 inference('cnf', [status(esa)], [k_projection2])).
% 0.54/0.75 thf(zip_derived_cl123, plain,
% 0.54/0.75 (((s) = (apply @ eq @ (pair @ (apply @ k @ s) @ k_projection2)))),
% 0.54/0.75 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl11])).
% 0.54/0.75 thf(extensionality1, axiom,
% 0.54/0.75 (( ( X ) = ( Y ) ) |
% 0.54/0.75 ( ( apply @ eq @ ( pair @ X @ Y ) ) = ( projection2 ) ))).
% 0.54/0.75 thf(zip_derived_cl7, plain,
% 0.54/0.75 (![X0 : $i, X1 : $i]:
% 0.54/0.75 (((X1) = (X0)) | ((apply @ eq @ (pair @ X1 @ X0)) = (projection2)))),
% 0.54/0.75 inference('cnf', [status(esa)], [extensionality1])).
% 0.54/0.75 thf(zip_derived_cl127, plain,
% 0.54/0.75 ((((apply @ k @ s) = (k_projection2)) | ((s) = (projection2)))),
% 0.54/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl7])).
% 0.54/0.75 thf(zip_derived_cl11, plain, (((apply @ k @ projection2) = (k_projection2))),
% 0.54/0.75 inference('cnf', [status(esa)], [k_projection2])).
% 0.54/0.75 thf(k_definition, conjecture, (( apply @ ( apply @ k @ X ) @ Y ) != ( X ))).
% 0.54/0.75 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.75 (( apply @ ( apply @ k @ X ) @ Y ) = ( X )),
% 0.54/0.75 inference('cnf.neg', [status(esa)], [k_definition])).
% 0.54/0.75 thf(zip_derived_cl0, plain,
% 0.54/0.75 (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.75 thf(zip_derived_cl14, plain,
% 0.54/0.75 (![X0 : $i]: ((apply @ k_projection2 @ X0) = (projection2))),
% 0.54/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 0.54/0.75 thf(zip_derived_cl0, plain,
% 0.54/0.75 (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.75 thf(extensionality2, axiom,
% 0.54/0.75 (( ( X ) = ( Y ) ) |
% 0.54/0.75 ( ( apply @ X @ ( n @ X @ Y ) ) != ( apply @ Y @ ( n @ X @ Y ) ) ))).
% 0.54/0.75 thf(zip_derived_cl8, plain,
% 0.54/0.75 (![X0 : $i, X1 : $i]:
% 0.54/0.75 (((X1) = (X0))
% 0.54/0.75 | ((apply @ X1 @ (n @ X1 @ X0)) != (apply @ X0 @ (n @ X1 @ X0))))),
% 0.54/0.75 inference('cnf', [status(esa)], [extensionality2])).
% 0.54/0.75 thf(zip_derived_cl15, plain,
% 0.54/0.75 (![X0 : $i, X1 : $i]:
% 0.54/0.75 (((apply @ k @ X0) = (X1))
% 0.54/0.75 | ((X0) != (apply @ X1 @ (n @ (apply @ k @ X0) @ X1))))),
% 0.54/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl8])).
% 0.54/0.75 thf(zip_derived_cl149, plain,
% 0.54/0.75 (![X0 : $i]:
% 0.54/0.75 (((apply @ k @ X0) = (k_projection2)) | ((X0) != (projection2)))),
% 0.54/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl15])).
% 0.54/0.75 thf(zip_derived_cl304, plain, (((apply @ k @ s) = (k_projection2))),
% 0.54/0.75 inference('clc', [status(thm)], [zip_derived_cl127, zip_derived_cl149])).
% 0.54/0.75 thf(zip_derived_cl0, plain,
% 0.54/0.75 (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.75 thf(zip_derived_cl310, plain,
% 0.54/0.75 (![X0 : $i]: ((apply @ k_projection2 @ X0) = (s))),
% 0.54/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl304, zip_derived_cl0])).
% 0.54/0.75 thf(zip_derived_cl14, plain,
% 0.54/0.75 (![X0 : $i]: ((apply @ k_projection2 @ X0) = (projection2))),
% 0.54/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 0.54/0.75 thf(zip_derived_cl316, plain, (((projection2) = (s))),
% 0.54/0.75 inference('demod', [status(thm)], [zip_derived_cl310, zip_derived_cl14])).
% 0.54/0.75 thf(zip_derived_cl123, plain,
% 0.54/0.75 (((s) = (apply @ eq @ (pair @ (apply @ k @ s) @ k_projection2)))),
% 0.54/0.75 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl11])).
% 0.54/0.75 thf(zip_derived_cl304, plain, (((apply @ k @ s) = (k_projection2))),
% 0.54/0.75 inference('clc', [status(thm)], [zip_derived_cl127, zip_derived_cl149])).
% 0.54/0.75 thf(equality, axiom, (( apply @ eq @ ( pair @ X @ X ) ) = ( projection1 ))).
% 0.54/0.75 thf(zip_derived_cl6, plain,
% 0.54/0.75 (![X0 : $i]: ((apply @ eq @ (pair @ X0 @ X0)) = (projection1))),
% 0.54/0.75 inference('cnf', [status(esa)], [equality])).
% 0.54/0.75 thf(zip_derived_cl305, plain, (((s) = (projection1))),
% 0.54/0.75 inference('demod', [status(thm)],
% 0.54/0.75 [zip_derived_cl123, zip_derived_cl304, zip_derived_cl6])).
% 0.54/0.75 thf(zip_derived_cl320, plain, (((projection2) = (projection1))),
% 0.54/0.75 inference('demod', [status(thm)], [zip_derived_cl316, zip_derived_cl305])).
% 0.54/0.75 thf(different_projections, axiom, (( projection1 ) != ( projection2 ))).
% 0.54/0.75 thf(zip_derived_cl9, plain, (((projection1) != (projection2))),
% 0.54/0.75 inference('cnf', [status(esa)], [different_projections])).
% 0.54/0.75 thf(zip_derived_cl321, plain, ($false),
% 0.54/0.75 inference('simplify_reflect-', [status(thm)],
% 0.54/0.75 [zip_derived_cl320, zip_derived_cl9])).
% 0.54/0.75
% 0.54/0.75 % SZS output end Refutation
% 0.54/0.75
% 0.54/0.75
% 0.54/0.75 % Terminating...
% 0.58/0.83 % Runner terminated.
% 0.58/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------