TSTP Solution File: LAT040-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT040-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bIDUHWUuyS true
% Computer : n029.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 7.54s 1.68s
% Output : Refutation 7.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT040-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bIDUHWUuyS true
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 07:37:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.54/1.68 % Solved by fo/fo3_bce.sh.
% 7.54/1.68 % BCE start: 13
% 7.54/1.68 % BCE eliminated: 0
% 7.54/1.68 % PE start: 13
% 7.54/1.68 logic: eq
% 7.54/1.68 % PE eliminated: 0
% 7.54/1.68 % done 390 iterations in 0.929s
% 7.54/1.68 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.54/1.68 % SZS output start Refutation
% 7.54/1.68 thf(yy_type, type, yy: $i).
% 7.54/1.68 thf(join_type, type, join: $i > $i > $i).
% 7.54/1.68 thf(zz_type, type, zz: $i).
% 7.54/1.68 thf(xx_type, type, xx: $i).
% 7.54/1.68 thf(meet_type, type, meet: $i > $i > $i).
% 7.54/1.68 thf(lhs2, axiom, (( meet @ xx @ yy ) = ( meet @ xx @ zz ))).
% 7.54/1.68 thf(zip_derived_cl11, plain, (((meet @ xx @ yy) = (meet @ xx @ zz))),
% 7.54/1.68 inference('cnf', [status(esa)], [lhs2])).
% 7.54/1.68 thf(commutativity_of_meet, axiom, (( meet @ X @ Y ) = ( meet @ Y @ X ))).
% 7.54/1.68 thf(zip_derived_cl4, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 7.54/1.68 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 7.54/1.68 thf(absorption2, axiom, (( join @ X @ ( meet @ X @ Y ) ) = ( X ))).
% 7.54/1.68 thf(zip_derived_cl3, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 7.54/1.68 inference('cnf', [status(esa)], [absorption2])).
% 7.54/1.68 thf(zip_derived_cl20, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 7.54/1.68 thf(zip_derived_cl111, plain, (((join @ zz @ (meet @ xx @ yy)) = (zz))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl20])).
% 7.54/1.68 thf(dist_join, axiom,
% 7.54/1.68 (( join @ X @ ( meet @ Y @ Z ) ) =
% 7.54/1.68 ( meet @ ( join @ X @ Y ) @ ( join @ X @ Z ) ))).
% 7.54/1.68 thf(zip_derived_cl8, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.54/1.68 ((join @ X0 @ (meet @ X1 @ X2))
% 7.54/1.68 = (meet @ (join @ X0 @ X1) @ (join @ X0 @ X2)))),
% 7.54/1.68 inference('cnf', [status(esa)], [dist_join])).
% 7.54/1.68 thf(zip_derived_cl117, plain,
% 7.54/1.68 (((zz) = (meet @ (join @ zz @ xx) @ (join @ zz @ yy)))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl8])).
% 7.54/1.68 thf(commutativity_of_join, axiom, (( join @ X @ Y ) = ( join @ Y @ X ))).
% 7.54/1.68 thf(zip_derived_cl5, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 7.54/1.68 inference('cnf', [status(esa)], [commutativity_of_join])).
% 7.54/1.68 thf(lhs1, axiom, (( join @ xx @ yy ) = ( join @ xx @ zz ))).
% 7.54/1.68 thf(zip_derived_cl10, plain, (((join @ xx @ yy) = (join @ xx @ zz))),
% 7.54/1.68 inference('cnf', [status(esa)], [lhs1])).
% 7.54/1.68 thf(zip_derived_cl5, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 7.54/1.68 inference('cnf', [status(esa)], [commutativity_of_join])).
% 7.54/1.68 thf(zip_derived_cl118, plain,
% 7.54/1.68 (((zz) = (meet @ (join @ xx @ yy) @ (join @ yy @ zz)))),
% 7.54/1.68 inference('demod', [status(thm)],
% 7.54/1.68 [zip_derived_cl117, zip_derived_cl5, zip_derived_cl10,
% 7.54/1.68 zip_derived_cl5])).
% 7.54/1.68 thf(zip_derived_cl3, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 7.54/1.68 inference('cnf', [status(esa)], [absorption2])).
% 7.54/1.68 thf(zip_derived_cl119, plain,
% 7.54/1.68 (((join @ (join @ xx @ yy) @ zz) = (join @ xx @ yy))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl3])).
% 7.54/1.68 thf(associativity_of_join, axiom,
% 7.54/1.68 (( join @ ( join @ X @ Y ) @ Z ) = ( join @ X @ ( join @ Y @ Z ) ))).
% 7.54/1.68 thf(zip_derived_cl7, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.54/1.68 ((join @ (join @ X0 @ X1) @ X2) = (join @ X0 @ (join @ X1 @ X2)))),
% 7.54/1.68 inference('cnf', [status(esa)], [associativity_of_join])).
% 7.54/1.68 thf(zip_derived_cl169, plain,
% 7.54/1.68 (((join @ xx @ yy) = (join @ xx @ (join @ yy @ zz)))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl7])).
% 7.54/1.68 thf(zip_derived_cl5, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 7.54/1.68 inference('cnf', [status(esa)], [commutativity_of_join])).
% 7.54/1.68 thf(absorption1, axiom, (( meet @ X @ ( join @ X @ Y ) ) = ( X ))).
% 7.54/1.68 thf(zip_derived_cl2, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 7.54/1.68 inference('cnf', [status(esa)], [absorption1])).
% 7.54/1.68 thf(zip_derived_cl24, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X1 @ X0)) = (X0))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 7.54/1.68 thf(idempotence_of_meet, axiom, (( meet @ X @ X ) = ( X ))).
% 7.54/1.68 thf(zip_derived_cl0, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 7.54/1.68 inference('cnf', [status(esa)], [idempotence_of_meet])).
% 7.54/1.68 thf(associativity_of_meet, axiom,
% 7.54/1.68 (( meet @ ( meet @ X @ Y ) @ Z ) = ( meet @ X @ ( meet @ Y @ Z ) ))).
% 7.54/1.68 thf(zip_derived_cl6, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.54/1.68 ((meet @ (meet @ X0 @ X1) @ X2) = (meet @ X0 @ (meet @ X1 @ X2)))),
% 7.54/1.68 inference('cnf', [status(esa)], [associativity_of_meet])).
% 7.54/1.68 thf(zip_derived_cl4, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 7.54/1.68 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 7.54/1.68 thf(zip_derived_cl29, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.54/1.68 ((meet @ X0 @ (meet @ X2 @ X1)) = (meet @ X2 @ (meet @ X1 @ X0)))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl4])).
% 7.54/1.68 thf(zip_derived_cl504, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (meet @ X1 @ X0)) = (meet @ X1 @ X0))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl29])).
% 7.54/1.68 thf(zip_derived_cl2215, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]:
% 7.54/1.68 ((meet @ (join @ X1 @ X0) @ X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl504])).
% 7.54/1.68 thf(zip_derived_cl24, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X1 @ X0)) = (X0))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 7.54/1.68 thf(zip_derived_cl2246, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((meet @ (join @ X1 @ X0) @ X0) = (X0))),
% 7.54/1.68 inference('demod', [status(thm)], [zip_derived_cl2215, zip_derived_cl24])).
% 7.54/1.68 thf(zip_derived_cl2571, plain,
% 7.54/1.68 (((meet @ (join @ xx @ yy) @ (join @ yy @ zz)) = (join @ yy @ zz))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl169, zip_derived_cl2246])).
% 7.54/1.68 thf(zip_derived_cl118, plain,
% 7.54/1.68 (((zz) = (meet @ (join @ xx @ yy) @ (join @ yy @ zz)))),
% 7.54/1.68 inference('demod', [status(thm)],
% 7.54/1.68 [zip_derived_cl117, zip_derived_cl5, zip_derived_cl10,
% 7.54/1.68 zip_derived_cl5])).
% 7.54/1.68 thf(zip_derived_cl2576, plain, (((zz) = (join @ yy @ zz))),
% 7.54/1.68 inference('demod', [status(thm)], [zip_derived_cl2571, zip_derived_cl118])).
% 7.54/1.68 thf(zip_derived_cl11, plain, (((meet @ xx @ yy) = (meet @ xx @ zz))),
% 7.54/1.68 inference('cnf', [status(esa)], [lhs2])).
% 7.54/1.68 thf(zip_derived_cl8, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.54/1.68 ((join @ X0 @ (meet @ X1 @ X2))
% 7.54/1.68 = (meet @ (join @ X0 @ X1) @ (join @ X0 @ X2)))),
% 7.54/1.68 inference('cnf', [status(esa)], [dist_join])).
% 7.54/1.68 thf(zip_derived_cl69, plain,
% 7.54/1.68 (![X0 : $i]:
% 7.54/1.68 ((join @ X0 @ (meet @ xx @ yy))
% 7.54/1.68 = (meet @ (join @ X0 @ xx) @ (join @ X0 @ zz)))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 7.54/1.68 thf(zip_derived_cl8, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.54/1.68 ((join @ X0 @ (meet @ X1 @ X2))
% 7.54/1.68 = (meet @ (join @ X0 @ X1) @ (join @ X0 @ X2)))),
% 7.54/1.68 inference('cnf', [status(esa)], [dist_join])).
% 7.54/1.68 thf(zip_derived_cl71, plain,
% 7.54/1.68 (![X0 : $i]:
% 7.54/1.68 ((meet @ (join @ X0 @ xx) @ (join @ X0 @ yy))
% 7.54/1.68 = (meet @ (join @ X0 @ xx) @ (join @ X0 @ zz)))),
% 7.54/1.68 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl8])).
% 7.54/1.68 thf(zip_derived_cl4394, plain,
% 7.54/1.68 (((meet @ (join @ yy @ xx) @ (join @ yy @ yy))
% 7.54/1.68 = (meet @ (join @ yy @ xx) @ zz))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl2576, zip_derived_cl71])).
% 7.54/1.68 thf(zip_derived_cl5, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 7.54/1.68 inference('cnf', [status(esa)], [commutativity_of_join])).
% 7.54/1.68 thf(idempotence_of_join, axiom, (( join @ X @ X ) = ( X ))).
% 7.54/1.68 thf(zip_derived_cl1, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 7.54/1.68 inference('cnf', [status(esa)], [idempotence_of_join])).
% 7.54/1.68 thf(zip_derived_cl2246, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((meet @ (join @ X1 @ X0) @ X0) = (X0))),
% 7.54/1.68 inference('demod', [status(thm)], [zip_derived_cl2215, zip_derived_cl24])).
% 7.54/1.68 thf(zip_derived_cl5, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 7.54/1.68 inference('cnf', [status(esa)], [commutativity_of_join])).
% 7.54/1.68 thf(zip_derived_cl0, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 7.54/1.68 inference('cnf', [status(esa)], [idempotence_of_meet])).
% 7.54/1.68 thf(zip_derived_cl10, plain, (((join @ xx @ yy) = (join @ xx @ zz))),
% 7.54/1.68 inference('cnf', [status(esa)], [lhs1])).
% 7.54/1.68 thf(zip_derived_cl24, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X1 @ X0)) = (X0))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 7.54/1.68 thf(zip_derived_cl149, plain, (((meet @ zz @ (join @ xx @ yy)) = (zz))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl24])).
% 7.54/1.68 thf(zip_derived_cl29, plain,
% 7.54/1.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.54/1.68 ((meet @ X0 @ (meet @ X2 @ X1)) = (meet @ X2 @ (meet @ X1 @ X0)))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl4])).
% 7.54/1.68 thf(zip_derived_cl500, plain,
% 7.54/1.68 (![X0 : $i]:
% 7.54/1.68 ((meet @ X0 @ zz) = (meet @ zz @ (meet @ (join @ xx @ yy) @ X0)))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl149, zip_derived_cl29])).
% 7.54/1.68 thf(zip_derived_cl775, plain,
% 7.54/1.68 (((meet @ (join @ xx @ yy) @ zz) = (meet @ zz @ (join @ xx @ yy)))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl500])).
% 7.54/1.68 thf(zip_derived_cl149, plain, (((meet @ zz @ (join @ xx @ yy)) = (zz))),
% 7.54/1.68 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl24])).
% 7.54/1.68 thf(zip_derived_cl781, plain, (((meet @ (join @ xx @ yy) @ zz) = (zz))),
% 7.54/1.68 inference('demod', [status(thm)], [zip_derived_cl775, zip_derived_cl149])).
% 7.54/1.68 thf(zip_derived_cl4423, plain, (((yy) = (zz))),
% 7.54/1.68 inference('demod', [status(thm)],
% 7.54/1.68 [zip_derived_cl4394, zip_derived_cl5, zip_derived_cl1,
% 7.54/1.68 zip_derived_cl2246, zip_derived_cl5, zip_derived_cl781])).
% 7.54/1.68 thf(rhs, conjecture, (( yy ) = ( zz ))).
% 7.54/1.68 thf(zf_stmt_0, negated_conjecture, (( yy ) != ( zz )),
% 7.54/1.68 inference('cnf.neg', [status(esa)], [rhs])).
% 7.54/1.68 thf(zip_derived_cl12, plain, (((yy) != (zz))),
% 7.54/1.68 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.54/1.68 thf(zip_derived_cl4424, plain, ($false),
% 7.54/1.68 inference('simplify_reflect-', [status(thm)],
% 7.54/1.68 [zip_derived_cl4423, zip_derived_cl12])).
% 7.54/1.68
% 7.54/1.68 % SZS output end Refutation
% 7.54/1.68
% 7.54/1.68
% 7.54/1.68 % Terminating...
% 7.96/1.75 % Runner terminated.
% 7.96/1.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------