%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT042-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4a4R9nrAcN true
% Computer : n020.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 04:41:00 PM UTC 2025
% Result : Unsatisfiable 64.42s 9.86s
% Output : Refutation 64.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT042-1 : TPTP v9.2.0. Released v2.5.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4a4R9nrAcN true
% 0.12/0.35 % Computer : n020.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 14:32:38 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.50/0.61 % Total configuration time : 435
% 0.50/0.61 % Estimated wc time : 1092
% 0.50/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 64.42/9.86 % Solved by fo/fo6_bce.sh.
% 64.42/9.86 % BCE start: 13
% 64.42/9.86 % BCE eliminated: 0
% 64.42/9.86 % PE start: 13
% 64.42/9.86 logic: eq
% 64.42/9.86 % PE eliminated: 0
% 64.42/9.86 % done 648 iterations in 9.131s
% 64.42/9.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 64.42/9.86 % SZS output start Refutation
% 64.42/9.86 thf(b_type, type, b: $i).
% 64.42/9.86 thf(join_type, type, join: $i > $i > $i).
% 64.42/9.86 thf(c_type, type, c: $i).
% 64.42/9.86 thf(a_type, type, a: $i).
% 64.42/9.86 thf(meet_type, type, meet: $i > $i > $i).
% 64.42/9.86 thf(prove_modular_law, conjecture,
% 64.42/9.86 (( join @ a @ ( meet @ b @ ( join @ a @ c ) ) ) =
% 64.42/9.86 ( meet @ ( join @ a @ b ) @ ( join @ a @ c ) ))).
% 64.42/9.86 thf(zf_stmt_0, negated_conjecture,
% 64.42/9.86 (( join @ a @ ( meet @ b @ ( join @ a @ c ) ) ) !=
% 64.42/9.86 ( meet @ ( join @ a @ b ) @ ( join @ a @ c ) )),
% 64.42/9.86 inference('cnf.neg', [status(esa)], [prove_modular_law])).
% 64.42/9.86 thf(zip_derived_cl12, plain,
% 64.42/9.86 (((join @ a @ (meet @ b @ (join @ a @ c)))
% 64.42/9.86 != (meet @ (join @ a @ b) @ (join @ a @ c)))),
% 64.42/9.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 64.42/9.86 thf(distributivity, axiom,
% 64.42/9.86 (( meet @ X @ ( join @ Y @ Z ) ) =
% 64.42/9.86 ( join @ ( meet @ X @ Y ) @ ( meet @ X @ Z ) ))).
% 64.42/9.86 thf(zip_derived_cl8, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.42/9.86 ((meet @ X0 @ (join @ X1 @ X2))
% 64.42/9.86 = (join @ (meet @ X0 @ X1) @ (meet @ X0 @ X2)))),
% 64.42/9.86 inference('cnf', [status(esa)], [distributivity])).
% 64.42/9.86 thf(commutativity_of_meet, axiom, (( meet @ X @ Y ) = ( meet @ Y @ X ))).
% 64.42/9.86 thf(zip_derived_cl4, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 64.42/9.86 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 64.42/9.86 thf(absorption2, axiom, (( join @ X @ ( meet @ X @ Y ) ) = ( X ))).
% 64.42/9.86 thf(zip_derived_cl3, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 64.42/9.86 inference('cnf', [status(esa)], [absorption2])).
% 64.42/9.86 thf(zip_derived_cl18, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 64.42/9.86 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 64.42/9.86 thf(associativity_of_join, axiom,
% 64.42/9.86 (( join @ ( join @ X @ Y ) @ Z ) = ( join @ X @ ( join @ Y @ Z ) ))).
% 64.42/9.86 thf(zip_derived_cl7, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.42/9.86 ((join @ (join @ X0 @ X1) @ X2) = (join @ X0 @ (join @ X1 @ X2)))),
% 64.42/9.86 inference('cnf', [status(esa)], [associativity_of_join])).
% 64.42/9.86 thf(zip_derived_cl72, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.42/9.86 ((join @ X0 @ X1) = (join @ X0 @ (join @ (meet @ X2 @ X0) @ X1)))),
% 64.42/9.86 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl7])).
% 64.42/9.86 thf(zip_derived_cl1558, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.42/9.86 ((join @ X1 @ (meet @ X2 @ X0))
% 64.42/9.86 = (join @ X1 @ (meet @ X2 @ (join @ X1 @ X0))))),
% 64.42/9.86 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl72])).
% 64.42/9.86 thf(zip_derived_cl1622, plain,
% 64.42/9.86 (((join @ a @ (meet @ b @ c)) != (meet @ (join @ a @ b) @ (join @ a @ c)))),
% 64.42/9.86 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl1558])).
% 64.42/9.86 thf(absorption1, axiom, (( meet @ X @ ( join @ X @ Y ) ) = ( X ))).
% 64.42/9.86 thf(zip_derived_cl2, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 64.42/9.86 inference('cnf', [status(esa)], [absorption1])).
% 64.42/9.86 thf(zip_derived_cl4, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 64.42/9.86 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 64.42/9.86 thf(associativity_of_meet, axiom,
% 64.42/9.86 (( meet @ ( meet @ X @ Y ) @ Z ) = ( meet @ X @ ( meet @ Y @ Z ) ))).
% 64.42/9.86 thf(zip_derived_cl6, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.42/9.86 ((meet @ (meet @ X0 @ X1) @ X2) = (meet @ X0 @ (meet @ X1 @ X2)))),
% 64.42/9.86 inference('cnf', [status(esa)], [associativity_of_meet])).
% 64.42/9.86 thf(idempotence_of_meet, axiom, (( meet @ X @ X ) = ( X ))).
% 64.42/9.86 thf(zip_derived_cl0, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 64.42/9.86 inference('cnf', [status(esa)], [idempotence_of_meet])).
% 64.42/9.86 thf(zip_derived_cl36, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i]:
% 64.42/9.86 ((meet @ X1 @ (meet @ X0 @ (meet @ X1 @ X0))) = (meet @ X1 @ X0))),
% 64.42/9.86 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 64.42/9.86 thf(zip_derived_cl200, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i]:
% 64.42/9.86 ((meet @ X0 @ (meet @ X1 @ (meet @ X1 @ X0))) = (meet @ X1 @ X0))),
% 64.42/9.86 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl36])).
% 64.42/9.86 thf(zip_derived_cl0, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 64.42/9.86 inference('cnf', [status(esa)], [idempotence_of_meet])).
% 64.42/9.86 thf(zip_derived_cl6, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.42/9.86 ((meet @ (meet @ X0 @ X1) @ X2) = (meet @ X0 @ (meet @ X1 @ X2)))),
% 64.42/9.86 inference('cnf', [status(esa)], [associativity_of_meet])).
% 64.42/9.86 thf(zip_derived_cl43, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X0 @ (meet @ X0 @ X1)))),
% 64.42/9.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 64.42/9.86 thf(zip_derived_cl5930, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (meet @ X1 @ X0)) = (meet @ X1 @ X0))),
% 64.42/9.86 inference('demod', [status(thm)], [zip_derived_cl200, zip_derived_cl43])).
% 64.42/9.86 thf(zip_derived_cl5992, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i]: ((meet @ (join @ X0 @ X1) @ X0) = (X0))),
% 64.42/9.86 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl5930])).
% 64.42/9.86 thf(zip_derived_cl4, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 64.42/9.86 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 64.42/9.86 thf(zip_derived_cl8, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.42/9.86 ((meet @ X0 @ (join @ X1 @ X2))
% 64.42/9.86 = (join @ (meet @ X0 @ X1) @ (meet @ X0 @ X2)))),
% 64.42/9.86 inference('cnf', [status(esa)], [distributivity])).
% 64.42/9.86 thf(zip_derived_cl92, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.42/9.86 ((meet @ X0 @ (join @ X2 @ X1))
% 64.42/9.86 = (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)))),
% 64.42/9.86 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl8])).
% 64.42/9.86 thf(zip_derived_cl15569, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.42/9.86 ((meet @ (join @ X0 @ X1) @ (join @ X0 @ X2))
% 64.42/9.86 = (join @ X0 @ (meet @ X2 @ (join @ X0 @ X1))))),
% 64.42/9.86 inference('s_sup+', [status(thm)], [zip_derived_cl5992, zip_derived_cl92])).
% 64.42/9.86 thf(zip_derived_cl92, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.42/9.86 ((meet @ X0 @ (join @ X2 @ X1))
% 64.42/9.86 = (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)))),
% 64.42/9.86 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl8])).
% 64.42/9.86 thf(zip_derived_cl72, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.42/9.86 ((join @ X0 @ X1) = (join @ X0 @ (join @ (meet @ X2 @ X0) @ X1)))),
% 64.42/9.86 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl7])).
% 64.42/9.86 thf(zip_derived_cl2393, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.42/9.86 ((join @ X1 @ (meet @ X0 @ X2))
% 64.42/9.86 = (join @ X1 @ (meet @ X2 @ (join @ X1 @ X0))))),
% 64.42/9.86 inference('s_sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl72])).
% 64.42/9.86 thf(zip_derived_cl15718, plain,
% 64.42/9.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.42/9.86 ((meet @ (join @ X0 @ X1) @ (join @ X0 @ X2))
% 64.42/9.86 = (join @ X0 @ (meet @ X1 @ X2)))),
% 64.42/9.86 inference('demod', [status(thm)],
% 64.42/9.86 [zip_derived_cl15569, zip_derived_cl2393])).
% 64.42/9.86 thf(zip_derived_cl15767, plain,
% 64.42/9.86 (((join @ a @ (meet @ b @ c)) != (join @ a @ (meet @ b @ c)))),
% 64.42/9.86 inference('demod', [status(thm)],
% 64.42/9.86 [zip_derived_cl1622, zip_derived_cl15718])).
% 64.42/9.86 thf(zip_derived_cl15768, plain, ($false),
% 64.42/9.86 inference('simplify', [status(thm)], [zip_derived_cl15767])).
% 64.42/9.86
% 64.42/9.86 % SZS output end Refutation
% 64.42/9.86
% 64.42/9.86
% 64.42/9.86 % Terminating...
% 64.86/9.98 % Runner terminated.
% 64.91/10.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------