TSTP Solution File: GRP524-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP524-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MAbx3jhpUW true

% Computer : n025.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 0.21s 0.84s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP524-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.14/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MAbx3jhpUW true
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 21:12:54 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.84  % Solved by fo/fo3_bce.sh.
% 0.21/0.84  % BCE start: 4
% 0.21/0.84  % BCE eliminated: 0
% 0.21/0.84  % PE start: 4
% 0.21/0.84  logic: eq
% 0.21/0.84  % PE eliminated: 0
% 0.21/0.84  % done 144 iterations in 0.111s
% 0.21/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.84  % SZS output start Refutation
% 0.21/0.84  thf(multiply_type, type, multiply: $i > $i > $i).
% 0.21/0.84  thf(b_type, type, b: $i).
% 0.21/0.84  thf(a_type, type, a: $i).
% 0.21/0.84  thf(divide_type, type, divide: $i > $i > $i).
% 0.21/0.84  thf(inverse_type, type, inverse: $i > $i).
% 0.21/0.84  thf(multiply, axiom,
% 0.21/0.84    (( multiply @ A @ B ) =
% 0.21/0.84     ( divide @ A @ ( divide @ ( divide @ C @ C ) @ B ) ))).
% 0.21/0.84  thf(zip_derived_cl1, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.84         ((multiply @ X0 @ X2)
% 0.21/0.84           = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 0.21/0.84      inference('cnf', [status(esa)], [multiply])).
% 0.21/0.84  thf(zip_derived_cl1, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.84         ((multiply @ X0 @ X2)
% 0.21/0.84           = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 0.21/0.84      inference('cnf', [status(esa)], [multiply])).
% 0.21/0.84  thf(prove_these_axioms_4, conjecture,
% 0.21/0.84    (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.21/0.84  thf(zf_stmt_0, negated_conjecture,
% 0.21/0.84    (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.21/0.84    inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.21/0.84  thf(zip_derived_cl3, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.21/0.84      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.84  thf(zip_derived_cl6, plain,
% 0.21/0.84      (![X0 : $i]:
% 0.21/0.84         ((multiply @ a @ b)
% 0.21/0.84           != (divide @ b @ (divide @ (divide @ X0 @ X0) @ a)))),
% 0.21/0.84      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.21/0.84  thf(zip_derived_cl11, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i]:
% 0.21/0.84         ((divide @ a @ (divide @ (divide @ X0 @ X0) @ b))
% 0.21/0.84           != (divide @ b @ (divide @ (divide @ X1 @ X1) @ a)))),
% 0.21/0.84      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 0.21/0.84  thf(inverse, axiom, (( inverse @ A ) = ( divide @ ( divide @ B @ B ) @ A ))).
% 0.21/0.84  thf(zip_derived_cl2, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i]:
% 0.21/0.84         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.21/0.84      inference('cnf', [status(esa)], [inverse])).
% 0.21/0.84  thf(zip_derived_cl2, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i]:
% 0.21/0.84         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.21/0.84      inference('cnf', [status(esa)], [inverse])).
% 0.21/0.84  thf(zip_derived_cl51, plain,
% 0.21/0.84      (((divide @ a @ (inverse @ b)) != (divide @ b @ (inverse @ a)))),
% 0.21/0.84      inference('demod', [status(thm)],
% 0.21/0.84                [zip_derived_cl11, zip_derived_cl2, zip_derived_cl2])).
% 0.21/0.84  thf(single_axiom, axiom,
% 0.21/0.84    (( divide @ A @ ( divide @ B @ ( divide @ C @ ( divide @ A @ B ) ) ) ) =
% 0.21/0.84     ( C ))).
% 0.21/0.84  thf(zip_derived_cl0, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.84         ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 0.21/0.84           = (X0))),
% 0.21/0.84      inference('cnf', [status(esa)], [single_axiom])).
% 0.21/0.84  thf(zip_derived_cl0, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.84         ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 0.21/0.84           = (X0))),
% 0.21/0.84      inference('cnf', [status(esa)], [single_axiom])).
% 0.21/0.84  thf(zip_derived_cl15, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.84         ((divide @ X3 @ 
% 0.21/0.84           (divide @ (divide @ X2 @ (divide @ X0 @ (divide @ X3 @ X2))) @ 
% 0.21/0.84            (divide @ X1 @ X0)))
% 0.21/0.84           = (X1))),
% 0.21/0.84      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.21/0.84  thf(zip_derived_cl0, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.84         ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 0.21/0.84           = (X0))),
% 0.21/0.84      inference('cnf', [status(esa)], [single_axiom])).
% 0.21/0.84  thf(zip_derived_cl95, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.84         ((divide @ X0 @ X0)
% 0.21/0.84           = (divide @ X1 @ (divide @ X2 @ (divide @ X2 @ X1))))),
% 0.21/0.84      inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 0.21/0.84  thf(zip_derived_cl0, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.84         ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 0.21/0.84           = (X0))),
% 0.21/0.84      inference('cnf', [status(esa)], [single_axiom])).
% 0.21/0.84  thf(zip_derived_cl130, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 0.21/0.84      inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl0])).
% 0.21/0.84  thf(zip_derived_cl0, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.84         ((divide @ X1 @ (divide @ X2 @ (divide @ X0 @ (divide @ X1 @ X2))))
% 0.21/0.84           = (X0))),
% 0.21/0.84      inference('cnf', [status(esa)], [single_axiom])).
% 0.21/0.84  thf(zip_derived_cl187, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 0.21/0.84      inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl0])).
% 0.21/0.84  thf(zip_derived_cl2, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i]:
% 0.21/0.84         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.21/0.84      inference('cnf', [status(esa)], [inverse])).
% 0.21/0.84  thf(zip_derived_cl216, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i]:
% 0.21/0.84         ((inverse @ (divide @ (divide @ X1 @ X1) @ X0)) = (X0))),
% 0.21/0.84      inference('sup+', [status(thm)], [zip_derived_cl187, zip_derived_cl2])).
% 0.21/0.84  thf(zip_derived_cl2, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i]:
% 0.21/0.84         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.21/0.84      inference('cnf', [status(esa)], [inverse])).
% 0.21/0.84  thf(zip_derived_cl228, plain,
% 0.21/0.84      (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.21/0.84      inference('demod', [status(thm)], [zip_derived_cl216, zip_derived_cl2])).
% 0.21/0.84  thf(zip_derived_cl187, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 0.21/0.84      inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl0])).
% 0.21/0.84  thf(zip_derived_cl95, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.84         ((divide @ X0 @ X0)
% 0.21/0.84           = (divide @ X1 @ (divide @ X2 @ (divide @ X2 @ X1))))),
% 0.21/0.84      inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 0.21/0.84  thf(zip_derived_cl15, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.84         ((divide @ X3 @ 
% 0.21/0.84           (divide @ (divide @ X2 @ (divide @ X0 @ (divide @ X3 @ X2))) @ 
% 0.21/0.84            (divide @ X1 @ X0)))
% 0.21/0.84           = (X1))),
% 0.21/0.84      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.21/0.84  thf(zip_derived_cl132, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.84         ((divide @ X2 @ (divide @ (divide @ X0 @ X0) @ (divide @ X1 @ X2)))
% 0.21/0.84           = (X1))),
% 0.21/0.84      inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl15])).
% 0.21/0.84  thf(zip_derived_cl2, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i]:
% 0.21/0.84         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.21/0.84      inference('cnf', [status(esa)], [inverse])).
% 0.21/0.84  thf(zip_derived_cl167, plain,
% 0.21/0.84      (![X1 : $i, X2 : $i]:
% 0.21/0.84         ((divide @ X2 @ (inverse @ (divide @ X1 @ X2))) = (X1))),
% 0.21/0.84      inference('demod', [status(thm)], [zip_derived_cl132, zip_derived_cl2])).
% 0.21/0.84  thf(zip_derived_cl292, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i]:
% 0.21/0.84         ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 0.21/0.84      inference('sup+', [status(thm)], [zip_derived_cl187, zip_derived_cl167])).
% 0.21/0.84  thf(zip_derived_cl167, plain,
% 0.21/0.84      (![X1 : $i, X2 : $i]:
% 0.21/0.84         ((divide @ X2 @ (inverse @ (divide @ X1 @ X2))) = (X1))),
% 0.21/0.84      inference('demod', [status(thm)], [zip_derived_cl132, zip_derived_cl2])).
% 0.21/0.84  thf(zip_derived_cl450, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i]:
% 0.21/0.84         ((divide @ (inverse @ X1) @ (inverse @ X0)) = (divide @ X0 @ X1))),
% 0.21/0.84      inference('sup+', [status(thm)], [zip_derived_cl292, zip_derived_cl167])).
% 0.21/0.84  thf(zip_derived_cl534, plain,
% 0.21/0.84      (![X0 : $i, X1 : $i]:
% 0.21/0.84         ((divide @ X0 @ (inverse @ X1)) = (divide @ X1 @ (inverse @ X0)))),
% 0.21/0.84      inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl450])).
% 0.21/0.84  thf(zip_derived_cl647, plain,
% 0.21/0.84      (((divide @ a @ (inverse @ b)) != (divide @ a @ (inverse @ b)))),
% 0.21/0.84      inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl534])).
% 0.21/0.84  thf(zip_derived_cl648, plain, ($false),
% 0.21/0.84      inference('simplify', [status(thm)], [zip_derived_cl647])).
% 0.21/0.84  
% 0.21/0.84  % SZS output end Refutation
% 0.21/0.84  
% 0.21/0.84  
% 0.21/0.84  % Terminating...
% 2.00/0.94  % Runner terminated.
% 2.00/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------