TSTP Solution File: GRP589-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP589-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0UJvf2a1Nd true

% Computer : n031.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 01:52:14 EDT 2023

% Result   : Unsatisfiable 1.37s 0.81s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GRP589-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0UJvf2a1Nd true
% 0.11/0.32  % Computer : n031.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon Aug 28 21:55:55 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.32  % Number of cores: 8
% 0.17/0.33  % Python version: Python 3.6.8
% 0.17/0.33  % Running in FO mode
% 0.17/0.62  % Total configuration time : 435
% 0.17/0.62  % Estimated wc time : 1092
% 0.17/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.33/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.81  % Solved by fo/fo3_bce.sh.
% 1.37/0.81  % BCE start: 3
% 1.37/0.81  % BCE eliminated: 0
% 1.37/0.81  % PE start: 3
% 1.37/0.81  logic: eq
% 1.37/0.81  % PE eliminated: 0
% 1.37/0.81  % done 15 iterations in 0.063s
% 1.37/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/0.81  % SZS output start Refutation
% 1.37/0.81  thf(multiply_type, type, multiply: $i > $i > $i).
% 1.37/0.81  thf(b1_type, type, b1: $i).
% 1.37/0.81  thf(inverse_type, type, inverse: $i > $i).
% 1.37/0.81  thf(double_divide_type, type, double_divide: $i > $i > $i).
% 1.37/0.81  thf(a1_type, type, a1: $i).
% 1.37/0.81  thf(single_axiom, axiom,
% 1.37/0.81    (( double_divide @
% 1.37/0.81       ( inverse @
% 1.37/0.81         ( double_divide @
% 1.37/0.81           ( double_divide @ A @ B ) @ 
% 1.37/0.81           ( inverse @ ( double_divide @ A @ ( inverse @ C ) ) ) ) ) @ 
% 1.37/0.81       B ) =
% 1.37/0.81     ( C ))).
% 1.37/0.81  thf(zip_derived_cl0, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.81         ((double_divide @ 
% 1.37/0.81           (inverse @ 
% 1.37/0.81            (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.37/0.81             (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @ 
% 1.37/0.81           X2) = (X0))),
% 1.37/0.81      inference('cnf', [status(esa)], [single_axiom])).
% 1.37/0.81  thf(zip_derived_cl0, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.81         ((double_divide @ 
% 1.37/0.81           (inverse @ 
% 1.37/0.81            (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.37/0.81             (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @ 
% 1.37/0.81           X2) = (X0))),
% 1.37/0.81      inference('cnf', [status(esa)], [single_axiom])).
% 1.37/0.81  thf(zip_derived_cl0, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.81         ((double_divide @ 
% 1.37/0.81           (inverse @ 
% 1.37/0.81            (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.37/0.81             (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @ 
% 1.37/0.81           X2) = (X0))),
% 1.37/0.81      inference('cnf', [status(esa)], [single_axiom])).
% 1.37/0.81  thf(zip_derived_cl4, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.81         ((double_divide @ 
% 1.37/0.81           (inverse @ 
% 1.37/0.81            (double_divide @ X0 @ 
% 1.37/0.81             (inverse @ 
% 1.37/0.81              (double_divide @ 
% 1.37/0.81               (inverse @ 
% 1.37/0.81                (double_divide @ (double_divide @ X3 @ X2) @ 
% 1.37/0.81                 (inverse @ (double_divide @ X3 @ (inverse @ X0))))) @ 
% 1.37/0.81               (inverse @ X1))))) @ 
% 1.37/0.81           X2) = (X1))),
% 1.37/0.81      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.37/0.81  thf(zip_derived_cl12, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i]:
% 1.37/0.81         ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X0))) @ 
% 1.37/0.81           (inverse @ X1)) = (X1))),
% 1.37/0.81      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 1.37/0.81  thf(zip_derived_cl12, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i]:
% 1.37/0.81         ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X0))) @ 
% 1.37/0.81           (inverse @ X1)) = (X1))),
% 1.37/0.81      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 1.37/0.81  thf(zip_derived_cl0, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.81         ((double_divide @ 
% 1.37/0.81           (inverse @ 
% 1.37/0.81            (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.37/0.81             (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @ 
% 1.37/0.81           X2) = (X0))),
% 1.37/0.81      inference('cnf', [status(esa)], [single_axiom])).
% 1.37/0.81  thf(zip_derived_cl0, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.81         ((double_divide @ 
% 1.37/0.81           (inverse @ 
% 1.37/0.81            (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.37/0.81             (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @ 
% 1.37/0.81           X2) = (X0))),
% 1.37/0.81      inference('cnf', [status(esa)], [single_axiom])).
% 1.37/0.81  thf(zip_derived_cl5, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.81         ((double_divide @ 
% 1.37/0.81           (inverse @ 
% 1.37/0.81            (double_divide @ 
% 1.37/0.81             (double_divide @ 
% 1.37/0.81              (inverse @ 
% 1.37/0.81               (double_divide @ (double_divide @ X3 @ (inverse @ X1)) @ 
% 1.37/0.81                (inverse @ (double_divide @ X3 @ (inverse @ X0))))) @ 
% 1.37/0.81              X2) @ 
% 1.37/0.81             (inverse @ X0))) @ 
% 1.37/0.81           X2) = (X1))),
% 1.37/0.81      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.37/0.81  thf(zip_derived_cl38, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i]:
% 1.37/0.81         ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X1))) @ 
% 1.37/0.81           (inverse @ X0)) = (X1))),
% 1.37/0.81      inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl5])).
% 1.37/0.81  thf(zip_derived_cl38, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i]:
% 1.37/0.81         ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X1))) @ 
% 1.37/0.81           (inverse @ X0)) = (X1))),
% 1.37/0.81      inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl5])).
% 1.37/0.81  thf(zip_derived_cl51, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i]:
% 1.37/0.81         ((double_divide @ (inverse @ X0) @ 
% 1.37/0.81           (inverse @ (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 1.37/0.81           = (X1))),
% 1.37/0.81      inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl38])).
% 1.37/0.81  thf(zip_derived_cl92, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i]:
% 1.37/0.81         ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X0)))
% 1.37/0.81           = (inverse @ (double_divide @ X1 @ (inverse @ X1))))),
% 1.37/0.81      inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl51])).
% 1.37/0.81  thf(zip_derived_cl92, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i]:
% 1.37/0.81         ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X0)))
% 1.37/0.81           = (inverse @ (double_divide @ X1 @ (inverse @ X1))))),
% 1.37/0.81      inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl51])).
% 1.37/0.81  thf(zip_derived_cl136, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i]:
% 1.37/0.81         ((inverse @ (double_divide @ X0 @ (inverse @ X0)))
% 1.37/0.81           = (inverse @ (double_divide @ X1 @ (inverse @ X1))))),
% 1.37/0.81      inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl92])).
% 1.37/0.81  thf(prove_these_axioms_1, conjecture,
% 1.37/0.81    (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 1.37/0.81     ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 1.37/0.81  thf(zf_stmt_0, negated_conjecture,
% 1.37/0.81    (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 1.37/0.81     ( multiply @ ( inverse @ b1 ) @ b1 )),
% 1.37/0.81    inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 1.37/0.81  thf(zip_derived_cl2, plain,
% 1.37/0.81      (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 1.37/0.81      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.81  thf(multiply, axiom,
% 1.37/0.81    (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 1.37/0.81  thf(zip_derived_cl1, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i]:
% 1.37/0.81         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.37/0.81      inference('cnf', [status(esa)], [multiply])).
% 1.37/0.81  thf(zip_derived_cl1, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i]:
% 1.37/0.81         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.37/0.81      inference('cnf', [status(esa)], [multiply])).
% 1.37/0.81  thf(zip_derived_cl3, plain,
% 1.37/0.81      (((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 1.37/0.81         != (inverse @ (double_divide @ b1 @ (inverse @ b1))))),
% 1.37/0.81      inference('demod', [status(thm)],
% 1.37/0.81                [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 1.37/0.81  thf(zip_derived_cl189, plain,
% 1.37/0.81      (![X0 : $i]:
% 1.37/0.81         ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 1.37/0.81           != (inverse @ (double_divide @ X0 @ (inverse @ X0))))),
% 1.37/0.81      inference('sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl3])).
% 1.37/0.81  thf(zip_derived_cl136, plain,
% 1.37/0.81      (![X0 : $i, X1 : $i]:
% 1.37/0.81         ((inverse @ (double_divide @ X0 @ (inverse @ X0)))
% 1.37/0.81           = (inverse @ (double_divide @ X1 @ (inverse @ X1))))),
% 1.37/0.81      inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl92])).
% 1.37/0.81  thf(zip_derived_cl241, plain, ($false),
% 1.37/0.81      inference('simplify_reflect+', [status(thm)],
% 1.37/0.81                [zip_derived_cl189, zip_derived_cl136])).
% 1.37/0.81  
% 1.37/0.81  % SZS output end Refutation
% 1.37/0.81  
% 1.37/0.81  
% 1.37/0.81  % Terminating...
% 1.85/0.92  % Runner terminated.
% 2.20/0.93  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------