TSTP Solution File: LAT042-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT042-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RR0YrtncKx true
% Computer : n024.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 Aug 31 06:45:45 EDT 2023
% Result : Unsatisfiable 72.47s 11.07s
% Output : Refutation 72.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LAT042-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RR0YrtncKx true
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu Aug 24 04:20:09 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/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
% 0.18/0.59 % Total configuration time : 435
% 0.18/0.59 % Estimated wc time : 1092
% 0.18/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.80/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.80/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.80/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.80/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.80/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.80/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.80/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 72.47/11.07 % Solved by fo/fo6_bce.sh.
% 72.47/11.07 % BCE start: 13
% 72.47/11.07 % BCE eliminated: 0
% 72.47/11.07 % PE start: 13
% 72.47/11.07 logic: eq
% 72.47/11.07 % PE eliminated: 0
% 72.47/11.07 % done 648 iterations in 10.371s
% 72.47/11.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 72.47/11.07 % SZS output start Refutation
% 72.47/11.07 thf(b_type, type, b: $i).
% 72.47/11.07 thf(join_type, type, join: $i > $i > $i).
% 72.47/11.07 thf(c_type, type, c: $i).
% 72.47/11.07 thf(a_type, type, a: $i).
% 72.47/11.07 thf(meet_type, type, meet: $i > $i > $i).
% 72.47/11.07 thf(prove_modular_law, conjecture,
% 72.47/11.07 (( join @ a @ ( meet @ b @ ( join @ a @ c ) ) ) =
% 72.47/11.07 ( meet @ ( join @ a @ b ) @ ( join @ a @ c ) ))).
% 72.47/11.07 thf(zf_stmt_0, negated_conjecture,
% 72.47/11.07 (( join @ a @ ( meet @ b @ ( join @ a @ c ) ) ) !=
% 72.47/11.07 ( meet @ ( join @ a @ b ) @ ( join @ a @ c ) )),
% 72.47/11.07 inference('cnf.neg', [status(esa)], [prove_modular_law])).
% 72.47/11.07 thf(zip_derived_cl12, plain,
% 72.47/11.07 (((join @ a @ (meet @ b @ (join @ a @ c)))
% 72.47/11.07 != (meet @ (join @ a @ b) @ (join @ a @ c)))),
% 72.47/11.07 inference('cnf', [status(esa)], [zf_stmt_0])).
% 72.47/11.07 thf(distributivity, axiom,
% 72.47/11.07 (( meet @ X @ ( join @ Y @ Z ) ) =
% 72.47/11.07 ( join @ ( meet @ X @ Y ) @ ( meet @ X @ Z ) ))).
% 72.47/11.07 thf(zip_derived_cl8, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.47/11.07 ((meet @ X0 @ (join @ X1 @ X2))
% 72.47/11.07 = (join @ (meet @ X0 @ X1) @ (meet @ X0 @ X2)))),
% 72.47/11.07 inference('cnf', [status(esa)], [distributivity])).
% 72.47/11.07 thf(commutativity_of_meet, axiom, (( meet @ X @ Y ) = ( meet @ Y @ X ))).
% 72.47/11.07 thf(zip_derived_cl4, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 72.47/11.07 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 72.47/11.07 thf(absorption2, axiom, (( join @ X @ ( meet @ X @ Y ) ) = ( X ))).
% 72.47/11.07 thf(zip_derived_cl3, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 72.47/11.07 inference('cnf', [status(esa)], [absorption2])).
% 72.47/11.07 thf(zip_derived_cl18, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 72.47/11.07 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 72.47/11.07 thf(associativity_of_join, axiom,
% 72.47/11.07 (( join @ ( join @ X @ Y ) @ Z ) = ( join @ X @ ( join @ Y @ Z ) ))).
% 72.47/11.07 thf(zip_derived_cl7, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.47/11.07 ((join @ (join @ X0 @ X1) @ X2) = (join @ X0 @ (join @ X1 @ X2)))),
% 72.47/11.07 inference('cnf', [status(esa)], [associativity_of_join])).
% 72.47/11.07 thf(zip_derived_cl72, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.47/11.07 ((join @ X0 @ X1) = (join @ X0 @ (join @ (meet @ X2 @ X0) @ X1)))),
% 72.47/11.07 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl7])).
% 72.47/11.07 thf(zip_derived_cl1558, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.47/11.07 ((join @ X1 @ (meet @ X2 @ X0))
% 72.47/11.07 = (join @ X1 @ (meet @ X2 @ (join @ X1 @ X0))))),
% 72.47/11.07 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl72])).
% 72.47/11.07 thf(zip_derived_cl1622, plain,
% 72.47/11.07 (((join @ a @ (meet @ b @ c)) != (meet @ (join @ a @ b) @ (join @ a @ c)))),
% 72.47/11.07 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl1558])).
% 72.47/11.07 thf(absorption1, axiom, (( meet @ X @ ( join @ X @ Y ) ) = ( X ))).
% 72.47/11.07 thf(zip_derived_cl2, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 72.47/11.07 inference('cnf', [status(esa)], [absorption1])).
% 72.47/11.07 thf(zip_derived_cl4, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 72.47/11.07 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 72.47/11.07 thf(associativity_of_meet, axiom,
% 72.47/11.07 (( meet @ ( meet @ X @ Y ) @ Z ) = ( meet @ X @ ( meet @ Y @ Z ) ))).
% 72.47/11.07 thf(zip_derived_cl6, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.47/11.07 ((meet @ (meet @ X0 @ X1) @ X2) = (meet @ X0 @ (meet @ X1 @ X2)))),
% 72.47/11.07 inference('cnf', [status(esa)], [associativity_of_meet])).
% 72.47/11.07 thf(idempotence_of_meet, axiom, (( meet @ X @ X ) = ( X ))).
% 72.47/11.07 thf(zip_derived_cl0, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 72.47/11.07 inference('cnf', [status(esa)], [idempotence_of_meet])).
% 72.47/11.07 thf(zip_derived_cl36, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i]:
% 72.47/11.07 ((meet @ X1 @ (meet @ X0 @ (meet @ X1 @ X0))) = (meet @ X1 @ X0))),
% 72.47/11.07 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 72.47/11.07 thf(zip_derived_cl200, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i]:
% 72.47/11.07 ((meet @ X0 @ (meet @ X1 @ (meet @ X1 @ X0))) = (meet @ X1 @ X0))),
% 72.47/11.07 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl36])).
% 72.47/11.07 thf(zip_derived_cl0, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 72.47/11.07 inference('cnf', [status(esa)], [idempotence_of_meet])).
% 72.47/11.07 thf(zip_derived_cl6, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.47/11.07 ((meet @ (meet @ X0 @ X1) @ X2) = (meet @ X0 @ (meet @ X1 @ X2)))),
% 72.47/11.07 inference('cnf', [status(esa)], [associativity_of_meet])).
% 72.47/11.07 thf(zip_derived_cl43, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X0 @ (meet @ X0 @ X1)))),
% 72.47/11.07 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 72.47/11.07 thf(zip_derived_cl5930, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (meet @ X1 @ X0)) = (meet @ X1 @ X0))),
% 72.47/11.07 inference('demod', [status(thm)], [zip_derived_cl200, zip_derived_cl43])).
% 72.47/11.07 thf(zip_derived_cl5992, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i]: ((meet @ (join @ X0 @ X1) @ X0) = (X0))),
% 72.47/11.07 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl5930])).
% 72.47/11.07 thf(zip_derived_cl4, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 72.47/11.07 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 72.47/11.07 thf(zip_derived_cl8, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.47/11.07 ((meet @ X0 @ (join @ X1 @ X2))
% 72.47/11.07 = (join @ (meet @ X0 @ X1) @ (meet @ X0 @ X2)))),
% 72.47/11.07 inference('cnf', [status(esa)], [distributivity])).
% 72.47/11.07 thf(zip_derived_cl92, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.47/11.07 ((meet @ X0 @ (join @ X2 @ X1))
% 72.47/11.07 = (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)))),
% 72.47/11.07 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl8])).
% 72.47/11.07 thf(zip_derived_cl15569, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.47/11.07 ((meet @ (join @ X0 @ X1) @ (join @ X0 @ X2))
% 72.47/11.07 = (join @ X0 @ (meet @ X2 @ (join @ X0 @ X1))))),
% 72.47/11.07 inference('s_sup+', [status(thm)], [zip_derived_cl5992, zip_derived_cl92])).
% 72.47/11.07 thf(zip_derived_cl92, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.47/11.07 ((meet @ X0 @ (join @ X2 @ X1))
% 72.47/11.07 = (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)))),
% 72.47/11.07 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl8])).
% 72.47/11.07 thf(zip_derived_cl72, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.47/11.07 ((join @ X0 @ X1) = (join @ X0 @ (join @ (meet @ X2 @ X0) @ X1)))),
% 72.47/11.07 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl7])).
% 72.47/11.07 thf(zip_derived_cl2393, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.47/11.07 ((join @ X1 @ (meet @ X0 @ X2))
% 72.47/11.07 = (join @ X1 @ (meet @ X2 @ (join @ X1 @ X0))))),
% 72.47/11.07 inference('s_sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl72])).
% 72.47/11.07 thf(zip_derived_cl15718, plain,
% 72.47/11.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.47/11.07 ((meet @ (join @ X0 @ X1) @ (join @ X0 @ X2))
% 72.47/11.07 = (join @ X0 @ (meet @ X1 @ X2)))),
% 72.47/11.07 inference('demod', [status(thm)],
% 72.47/11.07 [zip_derived_cl15569, zip_derived_cl2393])).
% 72.47/11.07 thf(zip_derived_cl15767, plain,
% 72.47/11.07 (((join @ a @ (meet @ b @ c)) != (join @ a @ (meet @ b @ c)))),
% 72.47/11.07 inference('demod', [status(thm)],
% 72.47/11.07 [zip_derived_cl1622, zip_derived_cl15718])).
% 72.47/11.07 thf(zip_derived_cl15768, plain, ($false),
% 72.47/11.07 inference('simplify', [status(thm)], [zip_derived_cl15767])).
% 72.47/11.07
% 72.47/11.07 % SZS output end Refutation
% 72.47/11.07
% 72.47/11.07
% 72.47/11.07 % Terminating...
% 73.59/11.14 % Runner terminated.
% 73.59/11.16 % Zipperpin 1.5 exiting
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