TSTP Solution File: LAT008-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT008-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rEQ7uPHmup true

% Computer : n004.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 06:45:38 EDT 2023

% Result   : Unsatisfiable 1.29s 0.81s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT008-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rEQ7uPHmup true
% 0.13/0.34  % Computer : n004.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 08:55:23 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.35  % 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
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.95/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.95/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.95/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.95/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.95/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.95/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.95/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.81  % Solved by fo/fo4.sh.
% 1.29/0.81  % done 32 iterations in 0.049s
% 1.29/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.29/0.81  % SZS output start Refutation
% 1.29/0.81  thf(join_type, type, join: $i > $i > $i).
% 1.29/0.81  thf(b_type, type, b: $i).
% 1.29/0.81  thf(a_type, type, a: $i).
% 1.29/0.81  thf(meet_type, type, meet: $i > $i > $i).
% 1.29/0.81  thf(prove_absorbtion_dual, conjecture,
% 1.29/0.81    (( join @ a @ ( meet @ a @ b ) ) = ( a ))).
% 1.29/0.81  thf(zf_stmt_0, negated_conjecture,
% 1.29/0.81    (( join @ a @ ( meet @ a @ b ) ) != ( a )),
% 1.29/0.81    inference('cnf.neg', [status(esa)], [prove_absorbtion_dual])).
% 1.29/0.81  thf(zip_derived_cl2, plain, (((join @ a @ (meet @ a @ b)) != (a))),
% 1.29/0.81      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.29/0.81  thf(absorption, axiom, (( meet @ X @ ( join @ X @ Y ) ) = ( X ))).
% 1.29/0.81  thf(zip_derived_cl0, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 1.29/0.81      inference('cnf', [status(esa)], [absorption])).
% 1.29/0.81  thf(distribution, axiom,
% 1.29/0.81    (( meet @ X @ ( join @ Y @ Z ) ) =
% 1.29/0.81     ( join @ ( meet @ Z @ X ) @ ( meet @ Y @ X ) ))).
% 1.29/0.81  thf(zip_derived_cl1, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X1 @ (join @ X2 @ X0))
% 1.29/0.81           = (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X1)))),
% 1.29/0.81      inference('cnf', [status(esa)], [distribution])).
% 1.29/0.81  thf(zip_derived_cl0, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 1.29/0.81      inference('cnf', [status(esa)], [absorption])).
% 1.29/0.81  thf(zip_derived_cl1, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X1 @ (join @ X2 @ X0))
% 1.29/0.81           = (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X1)))),
% 1.29/0.81      inference('cnf', [status(esa)], [distribution])).
% 1.29/0.81  thf(zip_derived_cl0, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 1.29/0.81      inference('cnf', [status(esa)], [absorption])).
% 1.29/0.81  thf(zip_derived_cl3, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ (meet @ X0 @ X2) @ (meet @ X2 @ (join @ X1 @ X0)))
% 1.29/0.81           = (meet @ X0 @ X2))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.29/0.81  thf(zip_derived_cl9, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((meet @ (meet @ X1 @ X0) @ X0) = (meet @ X1 @ X0))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 1.29/0.81  thf(zip_derived_cl1, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X1 @ (join @ X2 @ X0))
% 1.29/0.81           = (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X1)))),
% 1.29/0.81      inference('cnf', [status(esa)], [distribution])).
% 1.29/0.81  thf(zip_derived_cl17, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X0 @ (join @ (meet @ X1 @ X0) @ X2))
% 1.29/0.81           = (join @ (meet @ X2 @ X0) @ (meet @ X1 @ X0)))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 1.29/0.81  thf(zip_derived_cl1, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X1 @ (join @ X2 @ X0))
% 1.29/0.81           = (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X1)))),
% 1.29/0.81      inference('cnf', [status(esa)], [distribution])).
% 1.29/0.81  thf(zip_derived_cl28, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X0 @ (join @ (meet @ X1 @ X0) @ X2))
% 1.29/0.81           = (meet @ X0 @ (join @ X1 @ X2)))),
% 1.29/0.81      inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.29/0.81  thf(zip_derived_cl174, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X2 @ (meet @ X2 @ (join @ X1 @ X0)))
% 1.29/0.81           = (meet @ X2 @ (join @ X0 @ (meet @ X1 @ X2))))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl28])).
% 1.29/0.81  thf(zip_derived_cl9, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((meet @ (meet @ X1 @ X0) @ X0) = (meet @ X1 @ X0))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 1.29/0.81  thf(zip_derived_cl1, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X1 @ (join @ X2 @ X0))
% 1.29/0.81           = (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X1)))),
% 1.29/0.81      inference('cnf', [status(esa)], [distribution])).
% 1.29/0.81  thf(zip_derived_cl16, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X0 @ (join @ X2 @ (meet @ X1 @ X0)))
% 1.29/0.81           = (join @ (meet @ X1 @ X0) @ (meet @ X2 @ X0)))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 1.29/0.81  thf(zip_derived_cl1, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X1 @ (join @ X2 @ X0))
% 1.29/0.81           = (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X1)))),
% 1.29/0.81      inference('cnf', [status(esa)], [distribution])).
% 1.29/0.81  thf(zip_derived_cl27, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X0 @ (join @ X2 @ (meet @ X1 @ X0)))
% 1.29/0.81           = (meet @ X0 @ (join @ X2 @ X1)))),
% 1.29/0.81      inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 1.29/0.81  thf(zip_derived_cl183, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X2 @ (meet @ X2 @ (join @ X1 @ X0)))
% 1.29/0.81           = (meet @ X2 @ (join @ X0 @ X1)))),
% 1.29/0.81      inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl27])).
% 1.29/0.81  thf(zip_derived_cl199, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((meet @ X0 @ X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl183])).
% 1.29/0.81  thf(zip_derived_cl0, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 1.29/0.81      inference('cnf', [status(esa)], [absorption])).
% 1.29/0.81  thf(zip_derived_cl224, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl0])).
% 1.29/0.81  thf(zip_derived_cl224, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl0])).
% 1.29/0.81  thf(zip_derived_cl1, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X1 @ (join @ X2 @ X0))
% 1.29/0.81           = (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X1)))),
% 1.29/0.81      inference('cnf', [status(esa)], [distribution])).
% 1.29/0.81  thf(zip_derived_cl242, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]:
% 1.29/0.81         ((meet @ X0 @ (join @ X0 @ X1)) = (join @ (meet @ X1 @ X0) @ X0))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl1])).
% 1.29/0.81  thf(zip_derived_cl0, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 1.29/0.81      inference('cnf', [status(esa)], [absorption])).
% 1.29/0.81  thf(zip_derived_cl255, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((X0) = (join @ (meet @ X1 @ X0) @ X0))),
% 1.29/0.81      inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl0])).
% 1.29/0.81  thf(zip_derived_cl300, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl255])).
% 1.29/0.81  thf(zip_derived_cl1, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X1 @ (join @ X2 @ X0))
% 1.29/0.81           = (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X1)))),
% 1.29/0.81      inference('cnf', [status(esa)], [distribution])).
% 1.29/0.81  thf(zip_derived_cl328, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X1 @ X1)) = (meet @ X1 @ X0))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl300, zip_derived_cl1])).
% 1.29/0.81  thf(zip_derived_cl300, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl255])).
% 1.29/0.81  thf(zip_derived_cl334, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 1.29/0.81      inference('demod', [status(thm)], [zip_derived_cl328, zip_derived_cl300])).
% 1.29/0.81  thf(zip_derived_cl199, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((meet @ X0 @ X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl183])).
% 1.29/0.81  thf(zip_derived_cl224, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl0])).
% 1.29/0.81  thf(zip_derived_cl240, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 1.29/0.81      inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl224])).
% 1.29/0.81  thf(zip_derived_cl3, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ (meet @ X0 @ X2) @ (meet @ X2 @ (join @ X1 @ X0)))
% 1.29/0.81           = (meet @ X0 @ X2))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.29/0.81  thf(zip_derived_cl1, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ X1 @ (join @ X2 @ X0))
% 1.29/0.81           = (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X1)))),
% 1.29/0.81      inference('cnf', [status(esa)], [distribution])).
% 1.29/0.81  thf(zip_derived_cl6, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/0.81         ((meet @ (meet @ X0 @ (join @ X2 @ X1)) @ 
% 1.29/0.81           (join @ X3 @ (meet @ X1 @ X0)))
% 1.29/0.81           = (join @ (meet @ X1 @ X0) @ 
% 1.29/0.81              (meet @ X3 @ (meet @ X0 @ (join @ X2 @ X1)))))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.29/0.81  thf(zip_derived_cl276, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81         ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ 
% 1.29/0.81           (join @ X2 @ (meet @ X0 @ X0)))
% 1.29/0.81           = (join @ (meet @ X0 @ X0) @ (meet @ X2 @ X0)))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl240, zip_derived_cl6])).
% 1.29/0.81  thf(zip_derived_cl240, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 1.29/0.81      inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl224])).
% 1.29/0.81  thf(zip_derived_cl224, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl0])).
% 1.29/0.81  thf(zip_derived_cl240, plain,
% 1.29/0.81      (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 1.29/0.81      inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl224])).
% 1.29/0.81  thf(zip_derived_cl224, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 1.29/0.81      inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl0])).
% 1.29/0.81  thf(zip_derived_cl287, plain,
% 1.29/0.81      (![X0 : $i, X2 : $i]: ((X0) = (join @ X0 @ (meet @ X2 @ X0)))),
% 1.29/0.81      inference('demod', [status(thm)],
% 1.29/0.81                [zip_derived_cl276, zip_derived_cl240, zip_derived_cl224, 
% 1.29/0.81                 zip_derived_cl240, zip_derived_cl224])).
% 1.29/0.81  thf(zip_derived_cl361, plain, (((a) != (a))),
% 1.29/0.81      inference('demod', [status(thm)],
% 1.29/0.81                [zip_derived_cl2, zip_derived_cl334, zip_derived_cl287])).
% 1.29/0.81  thf(zip_derived_cl362, plain, ($false),
% 1.29/0.81      inference('simplify', [status(thm)], [zip_derived_cl361])).
% 1.29/0.81  
% 1.29/0.81  % SZS output end Refutation
% 1.29/0.81  
% 1.29/0.81  
% 1.29/0.81  % Terminating...
% 1.44/0.85  % Runner terminated.
% 1.44/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------