TSTP Solution File: GRP175-3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP175-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XFemMw1vbK true

% Computer : n005.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 01:50:31 EDT 2023

% Result   : Unsatisfiable 5.92s 1.46s
% Output   : Refutation 5.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : GRP175-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XFemMw1vbK true
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 00:54:53 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  % Running portfolio for 300 s
% 0.20/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.36  % Python version: Python 3.6.8
% 0.20/0.36  % 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/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.27/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.27/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.27/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.27/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.92/1.46  % Solved by fo/fo6_bce.sh.
% 5.92/1.46  % BCE start: 17
% 5.92/1.46  % BCE eliminated: 0
% 5.92/1.46  % PE start: 17
% 5.92/1.46  logic: eq
% 5.92/1.46  % PE eliminated: 0
% 5.92/1.46  % done 279 iterations in 0.715s
% 5.92/1.46  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.92/1.46  % SZS output start Refutation
% 5.92/1.46  thf(a_type, type, a: $i).
% 5.92/1.46  thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 5.92/1.46  thf(identity_type, type, identity: $i).
% 5.92/1.46  thf(multiply_type, type, multiply: $i > $i > $i).
% 5.92/1.46  thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 5.92/1.46  thf(inverse_type, type, inverse: $i > $i).
% 5.92/1.46  thf(b_type, type, b: $i).
% 5.92/1.46  thf(prove_p06c, conjecture,
% 5.92/1.46    (( greatest_lower_bound @
% 5.92/1.46       identity @ ( multiply @ ( inverse @ a ) @ ( multiply @ b @ a ) ) ) =
% 5.92/1.46     ( identity ))).
% 5.92/1.46  thf(zf_stmt_0, negated_conjecture,
% 5.92/1.46    (( greatest_lower_bound @
% 5.92/1.46       identity @ ( multiply @ ( inverse @ a ) @ ( multiply @ b @ a ) ) ) !=
% 5.92/1.46     ( identity )),
% 5.92/1.46    inference('cnf.neg', [status(esa)], [prove_p06c])).
% 5.92/1.46  thf(zip_derived_cl16, plain,
% 5.92/1.46      (((greatest_lower_bound @ identity @ 
% 5.92/1.46         (multiply @ (inverse @ a) @ (multiply @ b @ a))) != (identity))),
% 5.92/1.46      inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.92/1.46  thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 5.92/1.46  thf(zip_derived_cl1, plain,
% 5.92/1.46      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 5.92/1.46      inference('cnf', [status(esa)], [left_inverse])).
% 5.92/1.46  thf(monotony_glb1, axiom,
% 5.92/1.46    (( multiply @ X @ ( greatest_lower_bound @ Y @ Z ) ) =
% 5.92/1.46     ( greatest_lower_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 5.92/1.46  thf(zip_derived_cl12, plain,
% 5.92/1.46      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.92/1.46         ((multiply @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 5.92/1.46           = (greatest_lower_bound @ (multiply @ X0 @ X1) @ 
% 5.92/1.46              (multiply @ X0 @ X2)))),
% 5.92/1.46      inference('cnf', [status(esa)], [monotony_glb1])).
% 5.92/1.46  thf(zip_derived_cl130, plain,
% 5.92/1.46      (![X0 : $i, X1 : $i]:
% 5.92/1.46         ((multiply @ (inverse @ X1) @ (greatest_lower_bound @ X1 @ X0))
% 5.92/1.46           = (greatest_lower_bound @ identity @ 
% 5.92/1.46              (multiply @ (inverse @ X1) @ X0)))),
% 5.92/1.46      inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl12])).
% 5.92/1.46  thf(zip_derived_cl3132, plain,
% 5.92/1.46      (((multiply @ (inverse @ a) @ 
% 5.92/1.46         (greatest_lower_bound @ a @ (multiply @ b @ a))) != (identity))),
% 5.92/1.46      inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl130])).
% 5.92/1.46  thf(p06c_1, axiom, (( least_upper_bound @ identity @ b ) = ( b ))).
% 5.92/1.46  thf(zip_derived_cl15, plain, (((least_upper_bound @ identity @ b) = (b))),
% 5.92/1.46      inference('cnf', [status(esa)], [p06c_1])).
% 5.92/1.46  thf(monotony_lub2, axiom,
% 5.92/1.46    (( multiply @ ( least_upper_bound @ Y @ Z ) @ X ) =
% 5.92/1.46     ( least_upper_bound @ ( multiply @ Y @ X ) @ ( multiply @ Z @ X ) ))).
% 5.92/1.46  thf(zip_derived_cl13, plain,
% 5.92/1.46      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.92/1.46         ((multiply @ (least_upper_bound @ X0 @ X2) @ X1)
% 5.92/1.46           = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 5.92/1.46      inference('cnf', [status(esa)], [monotony_lub2])).
% 5.92/1.46  thf(glb_absorbtion, axiom,
% 5.92/1.46    (( greatest_lower_bound @ X @ ( least_upper_bound @ X @ Y ) ) = ( X ))).
% 5.92/1.46  thf(zip_derived_cl10, plain,
% 5.92/1.46      (![X0 : $i, X1 : $i]:
% 5.92/1.46         ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 5.92/1.46      inference('cnf', [status(esa)], [glb_absorbtion])).
% 5.92/1.46  thf(zip_derived_cl140, plain,
% 5.92/1.46      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.92/1.46         ((greatest_lower_bound @ (multiply @ X2 @ X0) @ 
% 5.92/1.46           (multiply @ (least_upper_bound @ X2 @ X1) @ X0))
% 5.92/1.46           = (multiply @ X2 @ X0))),
% 5.92/1.46      inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl10])).
% 5.92/1.46  thf(zip_derived_cl3641, plain,
% 5.92/1.46      (![X0 : $i]:
% 5.92/1.46         ((greatest_lower_bound @ (multiply @ identity @ X0) @ 
% 5.92/1.46           (multiply @ b @ X0)) = (multiply @ identity @ X0))),
% 5.92/1.46      inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl140])).
% 5.92/1.46  thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 5.92/1.46  thf(zip_derived_cl0, plain,
% 5.92/1.46      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.92/1.46      inference('cnf', [status(esa)], [left_identity])).
% 5.92/1.46  thf(zip_derived_cl0, plain,
% 5.92/1.46      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.92/1.46      inference('cnf', [status(esa)], [left_identity])).
% 5.92/1.46  thf(zip_derived_cl3675, plain,
% 5.92/1.46      (![X0 : $i]: ((greatest_lower_bound @ X0 @ (multiply @ b @ X0)) = (X0))),
% 5.92/1.46      inference('demod', [status(thm)],
% 5.92/1.46                [zip_derived_cl3641, zip_derived_cl0, zip_derived_cl0])).
% 5.92/1.46  thf(zip_derived_cl1, plain,
% 5.92/1.46      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 5.92/1.46      inference('cnf', [status(esa)], [left_inverse])).
% 5.92/1.46  thf(zip_derived_cl4457, plain, (((identity) != (identity))),
% 5.92/1.46      inference('demod', [status(thm)],
% 5.92/1.46                [zip_derived_cl3132, zip_derived_cl3675, zip_derived_cl1])).
% 5.92/1.46  thf(zip_derived_cl4458, plain, ($false),
% 5.92/1.46      inference('simplify', [status(thm)], [zip_derived_cl4457])).
% 5.92/1.46  
% 5.92/1.46  % SZS output end Refutation
% 5.92/1.46  
% 5.92/1.46  
% 5.92/1.47  % Terminating...
% 6.33/1.56  % Runner terminated.
% 6.34/1.57  % Zipperpin 1.5 exiting
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