TSTP Solution File: GRP522-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP522-1 : 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.zdB4OsYYjQ true

% Computer : n007.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 01:51:58 EDT 2023

% Result   : Unsatisfiable 0.56s 0.77s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP522-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zdB4OsYYjQ true
% 0.13/0.34  % Computer : n007.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 01:11:28 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/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
% 0.53/0.63  % Total configuration time : 435
% 0.53/0.63  % Estimated wc time : 1092
% 0.53/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.77  % Solved by fo/fo3_bce.sh.
% 0.56/0.77  % BCE start: 4
% 0.56/0.77  % BCE eliminated: 0
% 0.56/0.77  % PE start: 4
% 0.56/0.77  logic: eq
% 0.56/0.77  % PE eliminated: 0
% 0.56/0.77  % done 91 iterations in 0.045s
% 0.56/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77  % SZS output start Refutation
% 0.56/0.77  thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/0.77  thf(a2_type, type, a2: $i).
% 0.56/0.77  thf(b2_type, type, b2: $i).
% 0.56/0.77  thf(divide_type, type, divide: $i > $i > $i).
% 0.56/0.77  thf(inverse_type, type, inverse: $i > $i).
% 0.56/0.77  thf(prove_these_axioms_2, conjecture,
% 0.56/0.77    (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 0.56/0.77  thf(zf_stmt_0, negated_conjecture,
% 0.56/0.77    (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 0.56/0.77    inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 0.56/0.77  thf(zip_derived_cl3, plain,
% 0.56/0.77      (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 0.56/0.77      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.77  thf(multiply, axiom,
% 0.56/0.77    (( multiply @ A @ B ) =
% 0.56/0.77     ( divide @ A @ ( divide @ ( divide @ C @ C ) @ B ) ))).
% 0.56/0.77  thf(zip_derived_cl1, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.77         ((multiply @ X0 @ X2)
% 0.56/0.77           = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 0.56/0.77      inference('cnf', [status(esa)], [multiply])).
% 0.56/0.77  thf(inverse, axiom, (( inverse @ A ) = ( divide @ ( divide @ B @ B ) @ A ))).
% 0.56/0.77  thf(zip_derived_cl2, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.56/0.77      inference('cnf', [status(esa)], [inverse])).
% 0.56/0.77  thf(zip_derived_cl35, plain,
% 0.56/0.77      (![X0 : $i, X2 : $i]:
% 0.56/0.77         ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.56/0.77      inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.56/0.77  thf(zip_derived_cl35, plain,
% 0.56/0.77      (![X0 : $i, X2 : $i]:
% 0.56/0.77         ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.56/0.77      inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.56/0.77  thf(zip_derived_cl2, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.56/0.77      inference('cnf', [status(esa)], [inverse])).
% 0.56/0.77  thf(zip_derived_cl36, plain, (((inverse @ (inverse @ a2)) != (a2))),
% 0.56/0.77      inference('demod', [status(thm)],
% 0.56/0.77                [zip_derived_cl3, zip_derived_cl35, zip_derived_cl35, 
% 0.56/0.77                 zip_derived_cl2])).
% 0.56/0.77  thf(zip_derived_cl2, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.56/0.77      inference('cnf', [status(esa)], [inverse])).
% 0.56/0.77  thf(zip_derived_cl2, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.56/0.77      inference('cnf', [status(esa)], [inverse])).
% 0.56/0.77  thf(single_axiom, axiom,
% 0.56/0.77    (( divide @ A @ ( divide @ B @ ( divide @ C @ ( divide @ A @ B ) ) ) ) =
% 0.56/0.77     ( C ))).
% 0.56/0.77  thf(zip_derived_cl0, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.77         ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 0.56/0.77           = (X0))),
% 0.56/0.77      inference('cnf', [status(esa)], [single_axiom])).
% 0.56/0.77  thf(zip_derived_cl18, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.77         ((inverse @ 
% 0.56/0.77           (divide @ X0 @ (divide @ X2 @ (divide @ (divide @ X1 @ X1) @ X0))))
% 0.56/0.77           = (X2))),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.56/0.77  thf(zip_derived_cl2, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.56/0.77      inference('cnf', [status(esa)], [inverse])).
% 0.56/0.77  thf(zip_derived_cl32, plain,
% 0.56/0.77      (![X0 : $i, X2 : $i]:
% 0.56/0.77         ((inverse @ (divide @ X0 @ (divide @ X2 @ (inverse @ X0)))) = (X2))),
% 0.56/0.77      inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl2])).
% 0.56/0.77  thf(zip_derived_cl41, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ (divide @ X0 @ (inverse @ (inverse @ X0))))
% 0.56/0.77           = (divide @ X1 @ X1))),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl32])).
% 0.56/0.77  thf(zip_derived_cl41, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ (divide @ X0 @ (inverse @ (inverse @ X0))))
% 0.56/0.77           = (divide @ X1 @ X1))),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl32])).
% 0.56/0.77  thf(zip_derived_cl57, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl41])).
% 0.56/0.77  thf(zip_derived_cl2, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.56/0.77      inference('cnf', [status(esa)], [inverse])).
% 0.56/0.77  thf(zip_derived_cl2, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.56/0.77      inference('cnf', [status(esa)], [inverse])).
% 0.56/0.77  thf(zip_derived_cl4, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 0.56/0.77  thf(zip_derived_cl2, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.56/0.77      inference('cnf', [status(esa)], [inverse])).
% 0.56/0.77  thf(zip_derived_cl6, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ X1)
% 0.56/0.77           = (divide @ (inverse @ (inverse @ (divide @ X0 @ X0))) @ X1))),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.56/0.77  thf(zip_derived_cl76, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ (inverse @ (inverse @ (divide @ X1 @ X1))))
% 0.56/0.77           = (divide @ X0 @ X0))),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl6])).
% 0.56/0.77  thf(zip_derived_cl32, plain,
% 0.56/0.77      (![X0 : $i, X2 : $i]:
% 0.56/0.77         ((inverse @ (divide @ X0 @ (divide @ X2 @ (inverse @ X0)))) = (X2))),
% 0.56/0.77      inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl2])).
% 0.56/0.77  thf(zip_derived_cl302, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.77         ((inverse @ 
% 0.56/0.77           (divide @ (inverse @ (inverse @ (divide @ X2 @ X2))) @ 
% 0.56/0.77            (divide @ X1 @ (divide @ X0 @ X0))))
% 0.56/0.77           = (X1))),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl32])).
% 0.56/0.77  thf(zip_derived_cl6, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ X1)
% 0.56/0.77           = (divide @ (inverse @ (inverse @ (divide @ X0 @ X0))) @ X1))),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.56/0.77  thf(zip_derived_cl57, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl41])).
% 0.56/0.77  thf(zip_derived_cl32, plain,
% 0.56/0.77      (![X0 : $i, X2 : $i]:
% 0.56/0.77         ((inverse @ (divide @ X0 @ (divide @ X2 @ (inverse @ X0)))) = (X2))),
% 0.56/0.77      inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl2])).
% 0.56/0.77  thf(zip_derived_cl73, plain,
% 0.56/0.77      (![X0 : $i, X1 : $i]:
% 0.56/0.77         ((inverse @ (divide @ X1 @ (divide @ X0 @ X0))) = (inverse @ X1))),
% 0.56/0.77      inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl32])).
% 0.56/0.77  thf(zip_derived_cl356, plain,
% 0.56/0.77      (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 0.56/0.77      inference('demod', [status(thm)],
% 0.56/0.77                [zip_derived_cl302, zip_derived_cl6, zip_derived_cl73])).
% 0.56/0.77  thf(zip_derived_cl361, plain, (((a2) != (a2))),
% 0.56/0.77      inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl356])).
% 0.56/0.77  thf(zip_derived_cl362, plain, ($false),
% 0.56/0.77      inference('simplify', [status(thm)], [zip_derived_cl361])).
% 0.56/0.77  
% 0.56/0.77  % SZS output end Refutation
% 0.56/0.77  
% 0.56/0.77  
% 0.56/0.77  % Terminating...
% 0.56/0.83  % Runner terminated.
% 0.56/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------