TSTP Solution File: COL074-3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL074-3 : TPTP v8.1.2. Released v1.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.r9hfPLwh8m true
% Computer : n021.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 : Wed Aug 30 18:34:45 EDT 2023
% Result : Unsatisfiable 1.32s 0.78s
% Output : Refutation 1.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL074-3 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.r9hfPLwh8m true
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 04:12:57 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.32/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.78 % Solved by fo/fo7.sh.
% 1.32/0.78 % done 48 iterations in 0.014s
% 1.32/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.32/0.78 % SZS output start Refutation
% 1.32/0.78 thf(k_projection2_type, type, k_projection2: $i).
% 1.32/0.78 thf(projection1_type, type, projection1: $i).
% 1.32/0.78 thf(pair_type, type, pair: $i > $i > $i).
% 1.32/0.78 thf(projection2_type, type, projection2: $i).
% 1.32/0.78 thf(n_type, type, n: $i > $i > $i).
% 1.32/0.78 thf(k_type, type, k: $i).
% 1.32/0.78 thf(apply_type, type, apply: $i > $i > $i).
% 1.32/0.78 thf(eq_type, type, eq: $i).
% 1.32/0.78 thf(s_type, type, s: $i).
% 1.32/0.78 thf(self_referential, axiom,
% 1.32/0.78 (( s ) =
% 1.32/0.78 ( apply @ eq @ ( pair @ ( apply @ k @ s ) @ ( apply @ k @ projection2 ) ) ))).
% 1.32/0.78 thf(zip_derived_cl12, plain,
% 1.32/0.78 (((s)
% 1.32/0.78 = (apply @ eq @ (pair @ (apply @ k @ s) @ (apply @ k @ projection2))))),
% 1.32/0.78 inference('cnf', [status(esa)], [self_referential])).
% 1.32/0.78 thf(k_projection2, axiom, (( apply @ k @ projection2 ) = ( k_projection2 ))).
% 1.32/0.78 thf(zip_derived_cl11, plain, (((apply @ k @ projection2) = (k_projection2))),
% 1.32/0.78 inference('cnf', [status(esa)], [k_projection2])).
% 1.32/0.78 thf(zip_derived_cl100, plain,
% 1.32/0.78 (((s) = (apply @ eq @ (pair @ (apply @ k @ s) @ k_projection2)))),
% 1.32/0.78 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl11])).
% 1.32/0.78 thf(extensionality1, axiom,
% 1.32/0.78 (( ( X ) = ( Y ) ) |
% 1.32/0.78 ( ( apply @ eq @ ( pair @ X @ Y ) ) = ( projection2 ) ))).
% 1.32/0.78 thf(zip_derived_cl7, plain,
% 1.32/0.78 (![X0 : $i, X1 : $i]:
% 1.32/0.78 (((X1) = (X0)) | ((apply @ eq @ (pair @ X1 @ X0)) = (projection2)))),
% 1.32/0.78 inference('cnf', [status(esa)], [extensionality1])).
% 1.32/0.78 thf(zip_derived_cl101, plain,
% 1.32/0.78 ((((s) = (projection2)) | ((apply @ k @ s) = (k_projection2)))),
% 1.32/0.78 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl7])).
% 1.32/0.78 thf(k_definition, conjecture, (( apply @ ( apply @ k @ X ) @ Y ) != ( X ))).
% 1.32/0.78 thf(zf_stmt_0, negated_conjecture,
% 1.32/0.78 (( apply @ ( apply @ k @ X ) @ Y ) = ( X )),
% 1.32/0.78 inference('cnf.neg', [status(esa)], [k_definition])).
% 1.32/0.78 thf(zip_derived_cl0, plain,
% 1.32/0.78 (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 1.32/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.32/0.78 thf(zip_derived_cl11, plain, (((apply @ k @ projection2) = (k_projection2))),
% 1.32/0.78 inference('cnf', [status(esa)], [k_projection2])).
% 1.32/0.78 thf(zip_derived_cl0, plain,
% 1.32/0.78 (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 1.32/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.32/0.78 thf(zip_derived_cl14, plain,
% 1.32/0.78 (![X0 : $i]: ((apply @ k_projection2 @ X0) = (projection2))),
% 1.32/0.78 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 1.32/0.78 thf(extensionality2, axiom,
% 1.32/0.78 (( ( X ) = ( Y ) ) |
% 1.32/0.78 ( ( apply @ X @ ( n @ X @ Y ) ) != ( apply @ Y @ ( n @ X @ Y ) ) ))).
% 1.32/0.78 thf(zip_derived_cl8, plain,
% 1.32/0.78 (![X0 : $i, X1 : $i]:
% 1.32/0.78 (((X1) = (X0))
% 1.32/0.78 | ((apply @ X1 @ (n @ X1 @ X0)) != (apply @ X0 @ (n @ X1 @ X0))))),
% 1.32/0.78 inference('cnf', [status(esa)], [extensionality2])).
% 1.32/0.78 thf(zip_derived_cl26, plain,
% 1.32/0.78 (![X0 : $i]:
% 1.32/0.78 (((apply @ X0 @ (n @ X0 @ k_projection2)) != (projection2))
% 1.32/0.78 | ((X0) = (k_projection2)))),
% 1.32/0.78 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl8])).
% 1.32/0.78 thf(zip_derived_cl32, plain,
% 1.32/0.78 (![X0 : $i]:
% 1.32/0.78 (((X0) != (projection2)) | ((apply @ k @ X0) = (k_projection2)))),
% 1.32/0.78 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl26])).
% 1.32/0.78 thf(zip_derived_cl100, plain,
% 1.32/0.78 (((s) = (apply @ eq @ (pair @ (apply @ k @ s) @ k_projection2)))),
% 1.32/0.78 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl11])).
% 1.32/0.78 thf(zip_derived_cl103, plain,
% 1.32/0.78 ((((s) = (apply @ eq @ (pair @ k_projection2 @ k_projection2)))
% 1.32/0.78 | ((s) != (projection2)))),
% 1.32/0.78 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl100])).
% 1.32/0.78 thf(equality, axiom, (( apply @ eq @ ( pair @ X @ X ) ) = ( projection1 ))).
% 1.32/0.78 thf(zip_derived_cl6, plain,
% 1.32/0.78 (![X0 : $i]: ((apply @ eq @ (pair @ X0 @ X0)) = (projection1))),
% 1.32/0.78 inference('cnf', [status(esa)], [equality])).
% 1.32/0.78 thf(zip_derived_cl105, plain,
% 1.32/0.78 ((((s) = (projection1)) | ((s) != (projection2)))),
% 1.32/0.78 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl6])).
% 1.32/0.78 thf(zip_derived_cl106, plain,
% 1.32/0.78 ((((projection2) = (projection1)) | ((s) != (projection2)))),
% 1.32/0.78 inference('local_rewriting', [status(thm)], [zip_derived_cl105])).
% 1.32/0.78 thf(different_projections, axiom, (( projection1 ) != ( projection2 ))).
% 1.32/0.78 thf(zip_derived_cl9, plain, (((projection1) != (projection2))),
% 1.32/0.78 inference('cnf', [status(esa)], [different_projections])).
% 1.32/0.78 thf(zip_derived_cl107, plain, (((s) != (projection2))),
% 1.32/0.78 inference('simplify_reflect-', [status(thm)],
% 1.32/0.78 [zip_derived_cl106, zip_derived_cl9])).
% 1.32/0.78 thf(zip_derived_cl108, plain, (((apply @ k @ s) = (k_projection2))),
% 1.32/0.78 inference('simplify_reflect-', [status(thm)],
% 1.32/0.78 [zip_derived_cl101, zip_derived_cl107])).
% 1.32/0.78 thf(zip_derived_cl0, plain,
% 1.32/0.78 (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 1.32/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.32/0.78 thf(zip_derived_cl110, plain,
% 1.32/0.78 (![X0 : $i]: ((apply @ k_projection2 @ X0) = (s))),
% 1.32/0.78 inference('sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl0])).
% 1.32/0.78 thf(zip_derived_cl14, plain,
% 1.32/0.78 (![X0 : $i]: ((apply @ k_projection2 @ X0) = (projection2))),
% 1.32/0.78 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 1.32/0.78 thf(zip_derived_cl112, plain, (((projection2) = (s))),
% 1.32/0.78 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl14])).
% 1.32/0.78 thf(zip_derived_cl107, plain, (((s) != (projection2))),
% 1.32/0.78 inference('simplify_reflect-', [status(thm)],
% 1.32/0.78 [zip_derived_cl106, zip_derived_cl9])).
% 1.32/0.78 thf(zip_derived_cl113, plain, ($false),
% 1.32/0.78 inference('simplify_reflect-', [status(thm)],
% 1.32/0.78 [zip_derived_cl112, zip_derived_cl107])).
% 1.32/0.78
% 1.32/0.78 % SZS output end Refutation
% 1.32/0.78
% 1.32/0.78
% 1.32/0.78 % Terminating...
% 1.55/0.84 % Runner terminated.
% 1.55/0.85 % Zipperpin 1.5 exiting
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