TSTP Solution File: GRP174-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP174-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SHGeixK9aK true

% Computer : n021.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 01:50:30 EDT 2023

% Result   : Unsatisfiable 0.57s 1.18s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP174-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SHGeixK9aK true
% 0.13/0.35  % Computer : n021.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 01:24:44 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/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
% 0.36/0.67  % Total configuration time : 435
% 0.36/0.67  % Estimated wc time : 1092
% 0.36/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/1.18  % Solved by fo/fo13.sh.
% 0.57/1.18  % done 284 iterations in 0.412s
% 0.57/1.18  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/1.18  % SZS output start Refutation
% 0.57/1.18  thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 0.57/1.18  thf(identity_type, type, identity: $i).
% 0.57/1.18  thf(multiply_type, type, multiply: $i > $i > $i).
% 0.57/1.18  thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 0.57/1.18  thf(inverse_type, type, inverse: $i > $i).
% 0.57/1.18  thf(a_type, type, a: $i).
% 0.57/1.18  thf(p05b_2, axiom,
% 0.57/1.18    (( greatest_lower_bound @ identity @ ( inverse @ a ) ) = ( inverse @ a ))).
% 0.57/1.18  thf(zip_derived_cl16, plain,
% 0.57/1.18      (((greatest_lower_bound @ identity @ (inverse @ a)) = (inverse @ a))),
% 0.57/1.18      inference('cnf', [status(esa)], [p05b_2])).
% 0.57/1.18  thf(lub_absorbtion, axiom,
% 0.57/1.18    (( least_upper_bound @ X @ ( greatest_lower_bound @ X @ Y ) ) = ( X ))).
% 0.57/1.18  thf(zip_derived_cl9, plain,
% 0.57/1.18      (![X0 : $i, X1 : $i]:
% 0.57/1.18         ((least_upper_bound @ X0 @ (greatest_lower_bound @ X0 @ X1)) = (X0))),
% 0.57/1.18      inference('cnf', [status(esa)], [lub_absorbtion])).
% 0.57/1.18  thf(zip_derived_cl32, plain,
% 0.57/1.18      (((least_upper_bound @ identity @ (inverse @ a)) = (identity))),
% 0.57/1.18      inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl9])).
% 0.57/1.18  thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.57/1.18  thf(zip_derived_cl1, plain,
% 0.57/1.18      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/1.18      inference('cnf', [status(esa)], [left_inverse])).
% 0.57/1.18  thf(monotony_lub1, axiom,
% 0.57/1.18    (( multiply @ X @ ( least_upper_bound @ Y @ Z ) ) =
% 0.57/1.18     ( least_upper_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 0.57/1.18  thf(zip_derived_cl11, plain,
% 0.57/1.18      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.18         ((multiply @ X0 @ (least_upper_bound @ X1 @ X2))
% 0.57/1.18           = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 0.57/1.18      inference('cnf', [status(esa)], [monotony_lub1])).
% 0.57/1.18  thf(zip_derived_cl74, plain,
% 0.57/1.18      (![X0 : $i, X1 : $i]:
% 0.57/1.18         ((multiply @ (inverse @ X0) @ (least_upper_bound @ X1 @ X0))
% 0.57/1.18           = (least_upper_bound @ (multiply @ (inverse @ X0) @ X1) @ identity))),
% 0.57/1.18      inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 0.57/1.18  thf(zip_derived_cl2063, plain,
% 0.57/1.18      (((multiply @ (inverse @ (inverse @ a)) @ identity)
% 0.57/1.18         = (least_upper_bound @ 
% 0.57/1.18            (multiply @ (inverse @ (inverse @ a)) @ identity) @ identity))),
% 0.57/1.18      inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl74])).
% 0.57/1.18  thf(zip_derived_cl1, plain,
% 0.57/1.18      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/1.18      inference('cnf', [status(esa)], [left_inverse])).
% 0.57/1.18  thf(zip_derived_cl1, plain,
% 0.57/1.18      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/1.18      inference('cnf', [status(esa)], [left_inverse])).
% 0.57/1.18  thf(associativity, axiom,
% 0.57/1.18    (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.57/1.18     ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.57/1.18  thf(zip_derived_cl2, plain,
% 0.57/1.18      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.18         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/1.18           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/1.18      inference('cnf', [status(esa)], [associativity])).
% 0.57/1.18  thf(zip_derived_cl25, plain,
% 0.57/1.18      (![X0 : $i, X1 : $i]:
% 0.57/1.18         ((multiply @ identity @ X0)
% 0.57/1.18           = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.18      inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.57/1.18  thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.57/1.18  thf(zip_derived_cl0, plain,
% 0.57/1.18      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/1.18      inference('cnf', [status(esa)], [left_identity])).
% 0.57/1.18  thf(zip_derived_cl27, plain,
% 0.57/1.18      (![X0 : $i, X1 : $i]:
% 0.57/1.18         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/1.18      inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 0.57/1.18  thf(zip_derived_cl181, plain,
% 0.57/1.18      (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/1.18      inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl27])).
% 0.57/1.18  thf(zip_derived_cl181, plain,
% 0.57/1.18      (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/1.18      inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl27])).
% 0.57/1.18  thf(symmetry_of_lub, axiom,
% 0.57/1.18    (( least_upper_bound @ X @ Y ) = ( least_upper_bound @ Y @ X ))).
% 0.57/1.18  thf(zip_derived_cl4, plain,
% 0.57/1.18      (![X0 : $i, X1 : $i]:
% 0.57/1.18         ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 0.57/1.18      inference('cnf', [status(esa)], [symmetry_of_lub])).
% 0.57/1.18  thf(p05b_1, axiom, (( greatest_lower_bound @ identity @ a ) = ( a ))).
% 0.57/1.18  thf(zip_derived_cl15, plain, (((greatest_lower_bound @ identity @ a) = (a))),
% 0.57/1.18      inference('cnf', [status(esa)], [p05b_1])).
% 0.57/1.18  thf(zip_derived_cl9, plain,
% 0.57/1.18      (![X0 : $i, X1 : $i]:
% 0.57/1.18         ((least_upper_bound @ X0 @ (greatest_lower_bound @ X0 @ X1)) = (X0))),
% 0.57/1.18      inference('cnf', [status(esa)], [lub_absorbtion])).
% 0.57/1.18  thf(zip_derived_cl33, plain,
% 0.57/1.18      (((least_upper_bound @ identity @ a) = (identity))),
% 0.57/1.18      inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl9])).
% 0.57/1.18  thf(zip_derived_cl2084, plain, (((a) = (identity))),
% 0.57/1.18      inference('demod', [status(thm)],
% 0.57/1.18                [zip_derived_cl2063, zip_derived_cl181, zip_derived_cl181, 
% 0.57/1.18                 zip_derived_cl4, zip_derived_cl33])).
% 0.57/1.18  thf(prove_p05b, conjecture, (( identity ) = ( a ))).
% 0.57/1.18  thf(zf_stmt_0, negated_conjecture, (( identity ) != ( a )),
% 0.57/1.18    inference('cnf.neg', [status(esa)], [prove_p05b])).
% 0.57/1.18  thf(zip_derived_cl17, plain, (((identity) != (a))),
% 0.57/1.18      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/1.18  thf(zip_derived_cl2085, plain, ($false),
% 0.57/1.18      inference('simplify_reflect-', [status(thm)],
% 0.57/1.18                [zip_derived_cl2084, zip_derived_cl17])).
% 0.57/1.18  
% 0.57/1.18  % SZS output end Refutation
% 0.57/1.18  
% 0.57/1.18  
% 0.57/1.18  % Terminating...
% 0.57/1.28  % Runner terminated.
% 0.57/1.29  % Zipperpin 1.5 exiting
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