TSTP Solution File: GRP022-2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP022-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5yigY0HiCv true

% Computer : n001.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 01:49:32 EDT 2023

% Result   : Unsatisfiable 0.53s 0.75s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP022-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5yigY0HiCv true
% 0.13/0.34  % Computer : n001.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 : Tue Aug 29 03:16:36 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.19/0.66  % Total configuration time : 435
% 0.19/0.66  % Estimated wc time : 1092
% 0.19/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.75  % Solved by fo/fo6_bce.sh.
% 0.53/0.75  % BCE start: 6
% 0.53/0.75  % BCE eliminated: 0
% 0.53/0.75  % PE start: 6
% 0.53/0.75  logic: eq
% 0.53/0.75  % PE eliminated: 0
% 0.53/0.75  % done 13 iterations in 0.010s
% 0.53/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.75  % SZS output start Refutation
% 0.53/0.75  thf(a_type, type, a: $i).
% 0.53/0.75  thf(identity_type, type, identity: $i).
% 0.53/0.75  thf(multiply_type, type, multiply: $i > $i > $i).
% 0.53/0.75  thf(inverse_type, type, inverse: $i > $i).
% 0.53/0.75  thf(prove_inverse_of_inverse_is_original, conjecture,
% 0.53/0.75    (( inverse @ ( inverse @ a ) ) = ( a ))).
% 0.53/0.75  thf(zf_stmt_0, negated_conjecture, (( inverse @ ( inverse @ a ) ) != ( a )),
% 0.53/0.75    inference('cnf.neg', [status(esa)], [prove_inverse_of_inverse_is_original])).
% 0.53/0.75  thf(zip_derived_cl5, plain, (((inverse @ (inverse @ a)) != (a))),
% 0.53/0.75      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.75  thf(right_inverse, axiom,
% 0.53/0.75    (( multiply @ X @ ( inverse @ X ) ) = ( identity ))).
% 0.53/0.75  thf(zip_derived_cl4, plain,
% 0.53/0.75      (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.53/0.75      inference('cnf', [status(esa)], [right_inverse])).
% 0.53/0.75  thf(zip_derived_cl4, plain,
% 0.53/0.75      (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.53/0.75      inference('cnf', [status(esa)], [right_inverse])).
% 0.53/0.75  thf(associativity, axiom,
% 0.53/0.75    (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.53/0.75     ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.53/0.75  thf(zip_derived_cl2, plain,
% 0.53/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.75         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.53/0.75           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.53/0.75      inference('cnf', [status(esa)], [associativity])).
% 0.53/0.75  thf(zip_derived_cl14, plain,
% 0.53/0.75      (![X0 : $i, X1 : $i]:
% 0.53/0.75         ((multiply @ identity @ X0)
% 0.53/0.75           = (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)))),
% 0.53/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.53/0.75  thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.53/0.75  thf(zip_derived_cl0, plain,
% 0.53/0.75      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.53/0.75      inference('cnf', [status(esa)], [left_identity])).
% 0.53/0.75  thf(zip_derived_cl20, plain,
% 0.53/0.75      (![X0 : $i, X1 : $i]:
% 0.53/0.75         ((X0) = (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)))),
% 0.53/0.75      inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 0.53/0.75  thf(zip_derived_cl30, plain,
% 0.53/0.75      (![X0 : $i]: ((inverse @ (inverse @ X0)) = (multiply @ X0 @ identity))),
% 0.53/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl20])).
% 0.53/0.75  thf(right_identity, axiom, (( multiply @ X @ identity ) = ( X ))).
% 0.53/0.75  thf(zip_derived_cl3, plain,
% 0.53/0.75      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.75      inference('cnf', [status(esa)], [right_identity])).
% 0.53/0.75  thf(zip_derived_cl33, plain,
% 0.53/0.75      (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.53/0.75      inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl3])).
% 0.53/0.75  thf(zip_derived_cl65, plain, (((a) != (a))),
% 0.53/0.75      inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 0.53/0.75  thf(zip_derived_cl66, plain, ($false),
% 0.53/0.75      inference('simplify', [status(thm)], [zip_derived_cl65])).
% 0.53/0.75  
% 0.53/0.75  % SZS output end Refutation
% 0.53/0.75  
% 0.53/0.75  
% 0.53/0.75  % Terminating...
% 0.57/0.86  % Runner terminated.
% 0.57/0.87  % Zipperpin 1.5 exiting
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