TSTP Solution File: GRP487-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP487-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uO1JYsWkqC true

% Computer : n014.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 01:51:50 EDT 2023

% Result   : Unsatisfiable 0.22s 0.75s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP487-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uO1JYsWkqC true
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 00:02:45 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % Solved by fo/fo3_bce.sh.
% 0.22/0.75  % BCE start: 5
% 0.22/0.75  % BCE eliminated: 0
% 0.22/0.75  % PE start: 5
% 0.22/0.75  logic: eq
% 0.22/0.75  % PE eliminated: 0
% 0.22/0.75  % done 11 iterations in 0.011s
% 0.22/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.75  % SZS output start Refutation
% 0.22/0.75  thf(multiply_type, type, multiply: $i > $i > $i).
% 0.22/0.75  thf(identity_type, type, identity: $i).
% 0.22/0.75  thf(a1_type, type, a1: $i).
% 0.22/0.75  thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.22/0.75  thf(inverse_type, type, inverse: $i > $i).
% 0.22/0.75  thf(identity, axiom,
% 0.22/0.75    (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 0.22/0.75  thf(zip_derived_cl3, plain,
% 0.22/0.75      (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.22/0.75      inference('cnf', [status(esa)], [identity])).
% 0.22/0.75  thf(zip_derived_cl3, plain,
% 0.22/0.75      (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.22/0.75      inference('cnf', [status(esa)], [identity])).
% 0.22/0.75  thf(zip_derived_cl3, plain,
% 0.22/0.75      (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.22/0.75      inference('cnf', [status(esa)], [identity])).
% 0.22/0.75  thf(single_axiom, axiom,
% 0.22/0.75    (( double_divide @
% 0.22/0.75       A @ 
% 0.22/0.75       ( double_divide @
% 0.22/0.75         ( double_divide @
% 0.22/0.75           ( double_divide @
% 0.22/0.75             identity @ 
% 0.22/0.75             ( double_divide @
% 0.22/0.75               ( double_divide @ A @ identity ) @ ( double_divide @ B @ C ) ) ) @ 
% 0.22/0.75           B ) @ 
% 0.22/0.75         identity ) ) =
% 0.22/0.75     ( C ))).
% 0.22/0.75  thf(zip_derived_cl0, plain,
% 0.22/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.75         ((double_divide @ X1 @ 
% 0.22/0.75           (double_divide @ 
% 0.22/0.75            (double_divide @ 
% 0.22/0.75             (double_divide @ identity @ 
% 0.22/0.75              (double_divide @ (double_divide @ X1 @ identity) @ 
% 0.22/0.75               (double_divide @ X2 @ X0))) @ 
% 0.22/0.75             X2) @ 
% 0.22/0.75            identity))
% 0.22/0.75           = (X0))),
% 0.22/0.75      inference('cnf', [status(esa)], [single_axiom])).
% 0.22/0.75  thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 0.22/0.75  thf(zip_derived_cl2, plain,
% 0.22/0.75      (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.22/0.75      inference('cnf', [status(esa)], [inverse])).
% 0.22/0.75  thf(zip_derived_cl2, plain,
% 0.22/0.75      (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.22/0.75      inference('cnf', [status(esa)], [inverse])).
% 0.22/0.75  thf(zip_derived_cl7, plain,
% 0.22/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.75         ((double_divide @ X1 @ 
% 0.22/0.75           (inverse @ 
% 0.22/0.75            (double_divide @ 
% 0.22/0.75             (double_divide @ identity @ 
% 0.22/0.75              (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0))) @ 
% 0.22/0.75             X2)))
% 0.22/0.75           = (X0))),
% 0.22/0.75      inference('demod', [status(thm)],
% 0.22/0.75                [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.22/0.75  thf(zip_derived_cl11, plain,
% 0.22/0.75      (![X0 : $i, X1 : $i]:
% 0.22/0.75         ((double_divide @ X1 @ 
% 0.22/0.75           (inverse @ 
% 0.22/0.75            (double_divide @ 
% 0.22/0.75             (double_divide @ identity @ 
% 0.22/0.75              (double_divide @ (inverse @ X1) @ identity)) @ 
% 0.22/0.75             X0)))
% 0.22/0.75           = (inverse @ X0))),
% 0.22/0.75      inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.22/0.75  thf(zip_derived_cl2, plain,
% 0.22/0.75      (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.22/0.75      inference('cnf', [status(esa)], [inverse])).
% 0.22/0.75  thf(zip_derived_cl13, plain,
% 0.22/0.75      (![X0 : $i, X1 : $i]:
% 0.22/0.75         ((double_divide @ X1 @ 
% 0.22/0.75           (inverse @ 
% 0.22/0.75            (double_divide @ 
% 0.22/0.75             (double_divide @ identity @ (inverse @ (inverse @ X1))) @ X0)))
% 0.22/0.75           = (inverse @ X0))),
% 0.22/0.75      inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.22/0.75  thf(zip_derived_cl17, plain,
% 0.22/0.75      (![X0 : $i]:
% 0.22/0.75         ((double_divide @ X0 @ (inverse @ identity))
% 0.22/0.75           = (inverse @ 
% 0.22/0.75              (inverse @ 
% 0.22/0.75               (double_divide @ identity @ (inverse @ (inverse @ X0))))))),
% 0.22/0.75      inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 0.22/0.75  thf(zip_derived_cl2, plain,
% 0.22/0.75      (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.22/0.75      inference('cnf', [status(esa)], [inverse])).
% 0.22/0.75  thf(zip_derived_cl13, plain,
% 0.22/0.75      (![X0 : $i, X1 : $i]:
% 0.22/0.75         ((double_divide @ X1 @ 
% 0.22/0.75           (inverse @ 
% 0.22/0.75            (double_divide @ 
% 0.22/0.75             (double_divide @ identity @ (inverse @ (inverse @ X1))) @ X0)))
% 0.22/0.75           = (inverse @ X0))),
% 0.22/0.75      inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.22/0.75  thf(zip_derived_cl16, plain,
% 0.22/0.75      (![X0 : $i]:
% 0.22/0.75         ((double_divide @ X0 @ 
% 0.22/0.75           (inverse @ 
% 0.22/0.75            (inverse @ (double_divide @ identity @ (inverse @ (inverse @ X0))))))
% 0.22/0.75           = (inverse @ identity))),
% 0.22/0.75      inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 0.22/0.75  thf(zip_derived_cl31, plain,
% 0.22/0.75      (![X0 : $i]:
% 0.22/0.75         ((double_divide @ X0 @ (double_divide @ X0 @ (inverse @ identity)))
% 0.22/0.75           = (inverse @ identity))),
% 0.22/0.75      inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl16])).
% 0.22/0.75  thf(zip_derived_cl7, plain,
% 0.22/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.75         ((double_divide @ X1 @ 
% 0.22/0.75           (inverse @ 
% 0.22/0.75            (double_divide @ 
% 0.22/0.75             (double_divide @ identity @ 
% 0.22/0.75              (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0))) @ 
% 0.22/0.75             X2)))
% 0.22/0.75           = (X0))),
% 0.22/0.75      inference('demod', [status(thm)],
% 0.22/0.75                [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.22/0.75  thf(zip_derived_cl37, plain,
% 0.22/0.75      (![X0 : $i]:
% 0.22/0.75         ((double_divide @ X0 @ 
% 0.22/0.75           (inverse @ 
% 0.22/0.75            (double_divide @ 
% 0.22/0.75             (double_divide @ identity @ (inverse @ identity)) @ (inverse @ X0))))
% 0.22/0.75           = (inverse @ identity))),
% 0.22/0.75      inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl7])).
% 0.22/0.75  thf(zip_derived_cl3, plain,
% 0.22/0.75      (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.22/0.75      inference('cnf', [status(esa)], [identity])).
% 0.22/0.75  thf(zip_derived_cl42, plain,
% 0.22/0.75      (![X0 : $i]:
% 0.22/0.75         ((double_divide @ X0 @ 
% 0.22/0.75           (inverse @ (double_divide @ identity @ (inverse @ X0))))
% 0.22/0.75           = (inverse @ identity))),
% 0.22/0.75      inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl3])).
% 0.22/0.75  thf(zip_derived_cl46, plain,
% 0.22/0.75      (((double_divide @ identity @ (inverse @ identity))
% 0.22/0.75         = (inverse @ identity))),
% 0.22/0.75      inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl42])).
% 0.22/0.75  thf(zip_derived_cl3, plain,
% 0.22/0.75      (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.22/0.75      inference('cnf', [status(esa)], [identity])).
% 0.22/0.75  thf(zip_derived_cl52, plain, (((identity) = (inverse @ identity))),
% 0.22/0.75      inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl3])).
% 0.22/0.75  thf(prove_these_axioms_1, conjecture,
% 0.22/0.75    (( multiply @ ( inverse @ a1 ) @ a1 ) = ( identity ))).
% 0.22/0.75  thf(zf_stmt_0, negated_conjecture,
% 0.22/0.75    (( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity )),
% 0.22/0.75    inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 0.22/0.75  thf(zip_derived_cl4, plain,
% 0.22/0.75      (((multiply @ (inverse @ a1) @ a1) != (identity))),
% 0.22/0.75      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.22/0.75  thf(multiply, axiom,
% 0.22/0.75    (( multiply @ A @ B ) =
% 0.22/0.75     ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 0.22/0.75  thf(zip_derived_cl1, plain,
% 0.22/0.75      (![X0 : $i, X1 : $i]:
% 0.22/0.75         ((multiply @ X1 @ X0)
% 0.22/0.75           = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.22/0.75      inference('cnf', [status(esa)], [multiply])).
% 0.22/0.75  thf(zip_derived_cl2, plain,
% 0.22/0.75      (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.22/0.75      inference('cnf', [status(esa)], [inverse])).
% 0.22/0.75  thf(zip_derived_cl5, plain,
% 0.22/0.75      (![X0 : $i, X1 : $i]:
% 0.22/0.75         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.22/0.75      inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.22/0.75  thf(zip_derived_cl3, plain,
% 0.22/0.75      (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.22/0.75      inference('cnf', [status(esa)], [identity])).
% 0.22/0.75  thf(zip_derived_cl6, plain, (((inverse @ identity) != (identity))),
% 0.22/0.75      inference('demod', [status(thm)],
% 0.22/0.75                [zip_derived_cl4, zip_derived_cl5, zip_derived_cl3])).
% 0.22/0.75  thf(zip_derived_cl53, plain, ($false),
% 0.22/0.75      inference('simplify_reflect-', [status(thm)],
% 0.22/0.75                [zip_derived_cl52, zip_derived_cl6])).
% 0.22/0.75  
% 0.22/0.75  % SZS output end Refutation
% 0.22/0.75  
% 0.22/0.75  
% 0.22/0.75  % Terminating...
% 1.22/0.85  % Runner terminated.
% 1.22/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------