TSTP Solution File: LAT031-1 by Zipperpin---2.1.9999

View Problem - Process Solution

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% File     : Zipperpin---2.1.9999
% Problem  : LAT031-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MIoxwvwoRX true

% Computer : n003.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 06:45:42 EDT 2023

% Result   : Unsatisfiable 1.87s 1.25s
% Output   : Refutation 1.87s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : LAT031-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MIoxwvwoRX true
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 05:10:22 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.28/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.28/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.28/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.87/1.25  % Solved by fo/fo6_bce.sh.
% 1.87/1.25  % BCE start: 10
% 1.87/1.25  % BCE eliminated: 0
% 1.87/1.25  % PE start: 10
% 1.87/1.25  logic: eq
% 1.87/1.25  % PE eliminated: 0
% 1.87/1.25  % done 153 iterations in 0.485s
% 1.87/1.25  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.87/1.25  % SZS output start Refutation
% 1.87/1.25  thf(xx_type, type, xx: $i).
% 1.87/1.25  thf(join_type, type, join: $i > $i > $i).
% 1.87/1.25  thf(zz_type, type, zz: $i).
% 1.87/1.25  thf(meet_type, type, meet: $i > $i > $i).
% 1.87/1.25  thf(yy_type, type, yy: $i).
% 1.87/1.25  thf(dist_join, conjecture,
% 1.87/1.25    (( join @ xx @ ( meet @ yy @ zz ) ) =
% 1.87/1.25     ( meet @ ( join @ xx @ yy ) @ ( join @ xx @ zz ) ))).
% 1.87/1.25  thf(zf_stmt_0, negated_conjecture,
% 1.87/1.25    (( join @ xx @ ( meet @ yy @ zz ) ) !=
% 1.87/1.25     ( meet @ ( join @ xx @ yy ) @ ( join @ xx @ zz ) )),
% 1.87/1.25    inference('cnf.neg', [status(esa)], [dist_join])).
% 1.87/1.25  thf(zip_derived_cl9, plain,
% 1.87/1.25      (((join @ xx @ (meet @ yy @ zz))
% 1.87/1.25         != (meet @ (join @ xx @ yy) @ (join @ xx @ zz)))),
% 1.87/1.25      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.87/1.25  thf(absorption1, axiom, (( meet @ X @ ( join @ X @ Y ) ) = ( X ))).
% 1.87/1.25  thf(zip_derived_cl2, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 1.87/1.25      inference('cnf', [status(esa)], [absorption1])).
% 1.87/1.25  thf(commutativity_of_meet, axiom, (( meet @ X @ Y ) = ( meet @ Y @ X ))).
% 1.87/1.25  thf(zip_derived_cl4, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 1.87/1.25      inference('cnf', [status(esa)], [commutativity_of_meet])).
% 1.87/1.25  thf(dist_meet, axiom,
% 1.87/1.25    (( meet @ X @ ( join @ Y @ Z ) ) =
% 1.87/1.25     ( join @ ( meet @ X @ Y ) @ ( meet @ X @ Z ) ))).
% 1.87/1.25  thf(zip_derived_cl8, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.87/1.25         ((meet @ X0 @ (join @ X1 @ X2))
% 1.87/1.25           = (join @ (meet @ X0 @ X1) @ (meet @ X0 @ X2)))),
% 1.87/1.25      inference('cnf', [status(esa)], [dist_meet])).
% 1.87/1.25  thf(zip_derived_cl68, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.87/1.25         ((meet @ X0 @ (join @ X1 @ X2))
% 1.87/1.25           = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ X2)))),
% 1.87/1.25      inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl8])).
% 1.87/1.25  thf(zip_derived_cl2030, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.87/1.25         ((meet @ (join @ X0 @ X2) @ (join @ X0 @ X1))
% 1.87/1.25           = (join @ X0 @ (meet @ (join @ X0 @ X2) @ X1)))),
% 1.87/1.25      inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl68])).
% 1.87/1.25  thf(zip_derived_cl4, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 1.87/1.25      inference('cnf', [status(esa)], [commutativity_of_meet])).
% 1.87/1.25  thf(zip_derived_cl8, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.87/1.25         ((meet @ X0 @ (join @ X1 @ X2))
% 1.87/1.25           = (join @ (meet @ X0 @ X1) @ (meet @ X0 @ X2)))),
% 1.87/1.25      inference('cnf', [status(esa)], [dist_meet])).
% 1.87/1.25  thf(zip_derived_cl4, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 1.87/1.25      inference('cnf', [status(esa)], [commutativity_of_meet])).
% 1.87/1.25  thf(absorption2, axiom, (( join @ X @ ( meet @ X @ Y ) ) = ( X ))).
% 1.87/1.25  thf(zip_derived_cl3, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 1.87/1.25      inference('cnf', [status(esa)], [absorption2])).
% 1.87/1.25  thf(zip_derived_cl15, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 1.87/1.25      inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 1.87/1.25  thf(associativity_of_join, axiom,
% 1.87/1.25    (( join @ ( join @ X @ Y ) @ Z ) = ( join @ X @ ( join @ Y @ Z ) ))).
% 1.87/1.25  thf(zip_derived_cl7, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.87/1.25         ((join @ (join @ X0 @ X1) @ X2) = (join @ X0 @ (join @ X1 @ X2)))),
% 1.87/1.25      inference('cnf', [status(esa)], [associativity_of_join])).
% 1.87/1.25  thf(zip_derived_cl52, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.87/1.25         ((join @ X0 @ X1) = (join @ X0 @ (join @ (meet @ X2 @ X0) @ X1)))),
% 1.87/1.25      inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl7])).
% 1.87/1.25  thf(zip_derived_cl1166, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.87/1.25         ((join @ X1 @ (meet @ X2 @ X0))
% 1.87/1.25           = (join @ X1 @ (meet @ X2 @ (join @ X1 @ X0))))),
% 1.87/1.25      inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl52])).
% 1.87/1.25  thf(zip_derived_cl1343, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.87/1.25         ((join @ X2 @ (meet @ X0 @ X1))
% 1.87/1.25           = (join @ X2 @ (meet @ (join @ X2 @ X1) @ X0)))),
% 1.87/1.25      inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1166])).
% 1.87/1.25  thf(zip_derived_cl2060, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.87/1.25         ((meet @ (join @ X0 @ X2) @ (join @ X0 @ X1))
% 1.87/1.25           = (join @ X0 @ (meet @ X1 @ X2)))),
% 1.87/1.25      inference('demod', [status(thm)],
% 1.87/1.25                [zip_derived_cl2030, zip_derived_cl1343])).
% 1.87/1.25  thf(zip_derived_cl4, plain,
% 1.87/1.25      (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 1.87/1.25      inference('cnf', [status(esa)], [commutativity_of_meet])).
% 1.87/1.25  thf(zip_derived_cl2076, plain,
% 1.87/1.25      (((join @ xx @ (meet @ yy @ zz)) != (join @ xx @ (meet @ yy @ zz)))),
% 1.87/1.25      inference('demod', [status(thm)],
% 1.87/1.25                [zip_derived_cl9, zip_derived_cl2060, zip_derived_cl4])).
% 1.87/1.25  thf(zip_derived_cl2077, plain, ($false),
% 1.87/1.25      inference('simplify', [status(thm)], [zip_derived_cl2076])).
% 1.87/1.25  
% 1.87/1.25  % SZS output end Refutation
% 1.87/1.25  
% 1.87/1.25  
% 1.87/1.25  % Terminating...
% 1.89/1.35  % Runner terminated.
% 1.89/1.37  % Zipperpin 1.5 exiting
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