TSTP Solution File: GRP138-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP138-1 : 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.MoO3cRKc0v true

% Computer : n009.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 01:50:20 EDT 2023

% Result   : Unsatisfiable 0.60s 0.90s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP138-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MoO3cRKc0v true
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 22:53:05 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.58/0.68  % Total configuration time : 435
% 0.58/0.68  % Estimated wc time : 1092
% 0.58/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.90  % Solved by fo/fo3_bce.sh.
% 0.60/0.90  % BCE start: 18
% 0.60/0.90  % BCE eliminated: 0
% 0.60/0.90  % PE start: 18
% 0.60/0.90  logic: eq
% 0.60/0.90  % PE eliminated: 0
% 0.60/0.90  % done 147 iterations in 0.132s
% 0.60/0.90  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.90  % SZS output start Refutation
% 0.60/0.90  thf(b_type, type, b: $i).
% 0.60/0.90  thf(c_type, type, c: $i).
% 0.60/0.90  thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 0.60/0.90  thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 0.60/0.90  thf(a_type, type, a: $i).
% 0.60/0.90  thf(idempotence_of_gld, axiom, (( greatest_lower_bound @ X @ X ) = ( X ))).
% 0.60/0.90  thf(zip_derived_cl8, plain,
% 0.60/0.90      (![X0 : $i]: ((greatest_lower_bound @ X0 @ X0) = (X0))),
% 0.60/0.90      inference('cnf', [status(esa)], [idempotence_of_gld])).
% 0.60/0.90  thf(ax_glb1a_2, axiom, (( least_upper_bound @ b @ c ) = ( b ))).
% 0.60/0.90  thf(zip_derived_cl16, plain, (((least_upper_bound @ b @ c) = (b))),
% 0.60/0.90      inference('cnf', [status(esa)], [ax_glb1a_2])).
% 0.60/0.90  thf(symmetry_of_lub, axiom,
% 0.60/0.90    (( least_upper_bound @ X @ Y ) = ( least_upper_bound @ Y @ X ))).
% 0.60/0.90  thf(zip_derived_cl4, plain,
% 0.60/0.90      (![X0 : $i, X1 : $i]:
% 0.60/0.90         ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 0.60/0.90      inference('cnf', [status(esa)], [symmetry_of_lub])).
% 0.60/0.90  thf(zip_derived_cl32, plain, (((b) = (least_upper_bound @ c @ b))),
% 0.60/0.90      inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl4])).
% 0.60/0.90  thf(glb_absorbtion, axiom,
% 0.60/0.90    (( greatest_lower_bound @ X @ ( least_upper_bound @ X @ Y ) ) = ( X ))).
% 0.60/0.90  thf(zip_derived_cl10, plain,
% 0.60/0.90      (![X0 : $i, X1 : $i]:
% 0.60/0.90         ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 0.60/0.90      inference('cnf', [status(esa)], [glb_absorbtion])).
% 0.60/0.90  thf(zip_derived_cl35, plain, (((greatest_lower_bound @ c @ b) = (c))),
% 0.60/0.90      inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl10])).
% 0.60/0.90  thf(associativity_of_glb, axiom,
% 0.60/0.90    (( greatest_lower_bound @ X @ ( greatest_lower_bound @ Y @ Z ) ) =
% 0.60/0.90     ( greatest_lower_bound @ ( greatest_lower_bound @ X @ Y ) @ Z ))).
% 0.60/0.90  thf(zip_derived_cl5, plain,
% 0.60/0.90      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.90         ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 0.60/0.90           = (greatest_lower_bound @ (greatest_lower_bound @ X0 @ X1) @ X2))),
% 0.60/0.90      inference('cnf', [status(esa)], [associativity_of_glb])).
% 0.60/0.90  thf(symmetry_of_glb, axiom,
% 0.60/0.90    (( greatest_lower_bound @ X @ Y ) = ( greatest_lower_bound @ Y @ X ))).
% 0.60/0.90  thf(zip_derived_cl3, plain,
% 0.60/0.90      (![X0 : $i, X1 : $i]:
% 0.60/0.90         ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 0.60/0.90      inference('cnf', [status(esa)], [symmetry_of_glb])).
% 0.60/0.90  thf(zip_derived_cl44, plain,
% 0.60/0.90      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.90         ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X2 @ X1))
% 0.60/0.90           = (greatest_lower_bound @ X2 @ (greatest_lower_bound @ X1 @ X0)))),
% 0.60/0.90      inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 0.60/0.90  thf(zip_derived_cl506, plain,
% 0.60/0.90      (![X0 : $i]:
% 0.60/0.90         ((greatest_lower_bound @ X0 @ c)
% 0.60/0.90           = (greatest_lower_bound @ c @ (greatest_lower_bound @ b @ X0)))),
% 0.60/0.90      inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl44])).
% 0.60/0.90  thf(zip_derived_cl919, plain,
% 0.60/0.90      (((greatest_lower_bound @ b @ c) = (greatest_lower_bound @ c @ b))),
% 0.60/0.90      inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl506])).
% 0.60/0.90  thf(zip_derived_cl35, plain, (((greatest_lower_bound @ c @ b) = (c))),
% 0.60/0.90      inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl10])).
% 0.60/0.90  thf(zip_derived_cl922, plain, (((greatest_lower_bound @ b @ c) = (c))),
% 0.60/0.90      inference('demod', [status(thm)], [zip_derived_cl919, zip_derived_cl35])).
% 0.60/0.90  thf(ax_glb1a_1, axiom, (( least_upper_bound @ a @ c ) = ( a ))).
% 0.60/0.90  thf(zip_derived_cl15, plain, (((least_upper_bound @ a @ c) = (a))),
% 0.60/0.90      inference('cnf', [status(esa)], [ax_glb1a_1])).
% 0.60/0.90  thf(zip_derived_cl4, plain,
% 0.60/0.90      (![X0 : $i, X1 : $i]:
% 0.60/0.90         ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 0.60/0.90      inference('cnf', [status(esa)], [symmetry_of_lub])).
% 0.60/0.90  thf(zip_derived_cl10, plain,
% 0.60/0.90      (![X0 : $i, X1 : $i]:
% 0.60/0.90         ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 0.60/0.90      inference('cnf', [status(esa)], [glb_absorbtion])).
% 0.60/0.90  thf(zip_derived_cl29, plain,
% 0.60/0.90      (![X0 : $i, X1 : $i]:
% 0.60/0.90         ((greatest_lower_bound @ X0 @ (least_upper_bound @ X1 @ X0)) = (X0))),
% 0.60/0.90      inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 0.60/0.90  thf(zip_derived_cl185, plain, (((greatest_lower_bound @ c @ a) = (c))),
% 0.60/0.90      inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl29])).
% 0.60/0.90  thf(zip_derived_cl44, plain,
% 0.60/0.90      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.90         ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X2 @ X1))
% 0.60/0.90           = (greatest_lower_bound @ X2 @ (greatest_lower_bound @ X1 @ X0)))),
% 0.60/0.90      inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 0.60/0.90  thf(zip_derived_cl505, plain,
% 0.60/0.90      (![X0 : $i]:
% 0.60/0.90         ((greatest_lower_bound @ X0 @ c)
% 0.60/0.90           = (greatest_lower_bound @ c @ (greatest_lower_bound @ a @ X0)))),
% 0.60/0.90      inference('sup+', [status(thm)], [zip_derived_cl185, zip_derived_cl44])).
% 0.60/0.90  thf(zip_derived_cl954, plain,
% 0.60/0.90      (((c) = (greatest_lower_bound @ c @ (greatest_lower_bound @ a @ b)))),
% 0.60/0.90      inference('sup+', [status(thm)], [zip_derived_cl922, zip_derived_cl505])).
% 0.60/0.90  thf(zip_derived_cl3, plain,
% 0.60/0.90      (![X0 : $i, X1 : $i]:
% 0.60/0.90         ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 0.60/0.90      inference('cnf', [status(esa)], [symmetry_of_glb])).
% 0.60/0.90  thf(lub_absorbtion, axiom,
% 0.60/0.90    (( least_upper_bound @ X @ ( greatest_lower_bound @ X @ Y ) ) = ( X ))).
% 0.60/0.90  thf(zip_derived_cl9, plain,
% 0.60/0.90      (![X0 : $i, X1 : $i]:
% 0.60/0.90         ((least_upper_bound @ X0 @ (greatest_lower_bound @ X0 @ X1)) = (X0))),
% 0.60/0.90      inference('cnf', [status(esa)], [lub_absorbtion])).
% 0.60/0.90  thf(zip_derived_cl20, plain,
% 0.60/0.90      (![X0 : $i, X1 : $i]:
% 0.60/0.90         ((least_upper_bound @ X0 @ (greatest_lower_bound @ X1 @ X0)) = (X0))),
% 0.60/0.90      inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 0.60/0.90  thf(zip_derived_cl1112, plain,
% 0.60/0.90      (((least_upper_bound @ (greatest_lower_bound @ a @ b) @ c)
% 0.60/0.90         = (greatest_lower_bound @ a @ b))),
% 0.60/0.90      inference('sup+', [status(thm)], [zip_derived_cl954, zip_derived_cl20])).
% 0.60/0.90  thf(zip_derived_cl4, plain,
% 0.60/0.90      (![X0 : $i, X1 : $i]:
% 0.60/0.90         ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 0.60/0.90      inference('cnf', [status(esa)], [symmetry_of_lub])).
% 0.60/0.90  thf(zip_derived_cl1129, plain,
% 0.60/0.90      (((least_upper_bound @ c @ (greatest_lower_bound @ a @ b))
% 0.60/0.90         = (greatest_lower_bound @ a @ b))),
% 0.60/0.90      inference('sup+', [status(thm)], [zip_derived_cl1112, zip_derived_cl4])).
% 0.60/0.90  thf(prove_ax_glb1a, conjecture,
% 0.60/0.90    (( least_upper_bound @ ( greatest_lower_bound @ a @ b ) @ c ) =
% 0.60/0.90     ( greatest_lower_bound @ a @ b ))).
% 0.60/0.90  thf(zf_stmt_0, negated_conjecture,
% 0.60/0.90    (( least_upper_bound @ ( greatest_lower_bound @ a @ b ) @ c ) !=
% 0.60/0.90     ( greatest_lower_bound @ a @ b )),
% 0.60/0.90    inference('cnf.neg', [status(esa)], [prove_ax_glb1a])).
% 0.60/0.90  thf(zip_derived_cl17, plain,
% 0.60/0.90      (((least_upper_bound @ (greatest_lower_bound @ a @ b) @ c)
% 0.60/0.90         != (greatest_lower_bound @ a @ b))),
% 0.60/0.90      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.90  thf(zip_derived_cl4, plain,
% 0.60/0.90      (![X0 : $i, X1 : $i]:
% 0.60/0.90         ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 0.60/0.90      inference('cnf', [status(esa)], [symmetry_of_lub])).
% 0.60/0.90  thf(zip_derived_cl28, plain,
% 0.60/0.90      (((least_upper_bound @ c @ (greatest_lower_bound @ a @ b))
% 0.60/0.90         != (greatest_lower_bound @ a @ b))),
% 0.60/0.90      inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl4])).
% 0.60/0.90  thf(zip_derived_cl1137, plain, ($false),
% 0.60/0.90      inference('simplify_reflect-', [status(thm)],
% 0.60/0.90                [zip_derived_cl1129, zip_derived_cl28])).
% 0.60/0.90  
% 0.60/0.90  % SZS output end Refutation
% 0.60/0.90  
% 0.60/0.90  
% 0.60/0.90  % Terminating...
% 0.62/0.98  % Runner terminated.
% 0.62/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------