TSTP Solution File: GRP590-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP590-1 : 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.XeYDo0RxTF 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 0.20s 0.75s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP590-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XeYDo0RxTF true
% 0.14/0.34  % Computer : n031.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 22:38:40 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/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
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % Solved by fo/fo6_bce.sh.
% 0.20/0.75  % BCE start: 3
% 0.20/0.75  % BCE eliminated: 0
% 0.20/0.75  % PE start: 3
% 0.20/0.75  logic: eq
% 0.20/0.75  % PE eliminated: 0
% 0.20/0.75  % done 19 iterations in 0.052s
% 0.20/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.75  % SZS output start Refutation
% 0.20/0.75  thf(multiply_type, type, multiply: $i > $i > $i).
% 0.20/0.75  thf(a2_type, type, a2: $i).
% 0.20/0.75  thf(inverse_type, type, inverse: $i > $i).
% 0.20/0.75  thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.20/0.75  thf(b2_type, type, b2: $i).
% 0.20/0.75  thf(single_axiom, axiom,
% 0.20/0.75    (( double_divide @
% 0.20/0.75       ( inverse @
% 0.20/0.75         ( double_divide @
% 0.20/0.75           ( double_divide @ A @ B ) @ 
% 0.20/0.75           ( inverse @ ( double_divide @ A @ ( inverse @ C ) ) ) ) ) @ 
% 0.20/0.75       B ) =
% 0.20/0.75     ( C ))).
% 0.20/0.75  thf(zip_derived_cl0, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.75         ((double_divide @ 
% 0.20/0.75           (inverse @ 
% 0.20/0.75            (double_divide @ (double_divide @ X1 @ X2) @ 
% 0.20/0.75             (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @ 
% 0.20/0.75           X2) = (X0))),
% 0.20/0.75      inference('cnf', [status(esa)], [single_axiom])).
% 0.20/0.75  thf(zip_derived_cl0, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.75         ((double_divide @ 
% 0.20/0.75           (inverse @ 
% 0.20/0.75            (double_divide @ (double_divide @ X1 @ X2) @ 
% 0.20/0.75             (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @ 
% 0.20/0.75           X2) = (X0))),
% 0.20/0.75      inference('cnf', [status(esa)], [single_axiom])).
% 0.20/0.75  thf(zip_derived_cl0, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.75         ((double_divide @ 
% 0.20/0.75           (inverse @ 
% 0.20/0.75            (double_divide @ (double_divide @ X1 @ X2) @ 
% 0.20/0.75             (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @ 
% 0.20/0.75           X2) = (X0))),
% 0.20/0.75      inference('cnf', [status(esa)], [single_axiom])).
% 0.20/0.75  thf(zip_derived_cl4, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.75         ((double_divide @ 
% 0.20/0.75           (inverse @ 
% 0.20/0.75            (double_divide @ X0 @ 
% 0.20/0.75             (inverse @ 
% 0.20/0.75              (double_divide @ 
% 0.20/0.75               (inverse @ 
% 0.20/0.75                (double_divide @ (double_divide @ X3 @ X2) @ 
% 0.20/0.75                 (inverse @ (double_divide @ X3 @ (inverse @ X0))))) @ 
% 0.20/0.75               (inverse @ X1))))) @ 
% 0.20/0.75           X2) = (X1))),
% 0.20/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.20/0.75  thf(zip_derived_cl12, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i]:
% 0.20/0.75         ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X0))) @ 
% 0.20/0.75           (inverse @ X1)) = (X1))),
% 0.20/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.20/0.75  thf(zip_derived_cl12, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i]:
% 0.20/0.75         ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X0))) @ 
% 0.20/0.75           (inverse @ X1)) = (X1))),
% 0.20/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.20/0.75  thf(zip_derived_cl4, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.75         ((double_divide @ 
% 0.20/0.75           (inverse @ 
% 0.20/0.75            (double_divide @ X0 @ 
% 0.20/0.75             (inverse @ 
% 0.20/0.75              (double_divide @ 
% 0.20/0.75               (inverse @ 
% 0.20/0.75                (double_divide @ (double_divide @ X3 @ X2) @ 
% 0.20/0.75                 (inverse @ (double_divide @ X3 @ (inverse @ X0))))) @ 
% 0.20/0.75               (inverse @ X1))))) @ 
% 0.20/0.75           X2) = (X1))),
% 0.20/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.20/0.75  thf(zip_derived_cl23, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i]:
% 0.20/0.75         ((double_divide @ (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ 
% 0.20/0.75           (inverse @ X1)) = (X0))),
% 0.20/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 0.20/0.75  thf(zip_derived_cl23, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i]:
% 0.20/0.75         ((double_divide @ (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ 
% 0.20/0.75           (inverse @ X1)) = (X0))),
% 0.20/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 0.20/0.75  thf(zip_derived_cl30, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i]:
% 0.20/0.75         ((double_divide @ (inverse @ X0) @ 
% 0.20/0.75           (inverse @ (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 0.20/0.75           = (X1))),
% 0.20/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl23])).
% 0.20/0.75  thf(zip_derived_cl92, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i]:
% 0.20/0.75         ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X0)))
% 0.20/0.75           = (inverse @ (double_divide @ X1 @ (inverse @ X1))))),
% 0.20/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl30])).
% 0.20/0.75  thf(zip_derived_cl92, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i]:
% 0.20/0.75         ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X0)))
% 0.20/0.75           = (inverse @ (double_divide @ X1 @ (inverse @ X1))))),
% 0.20/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl30])).
% 0.20/0.75  thf(zip_derived_cl136, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i]:
% 0.20/0.75         ((inverse @ (double_divide @ X0 @ (inverse @ X0)))
% 0.20/0.75           = (inverse @ (double_divide @ X1 @ (inverse @ X1))))),
% 0.20/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl92])).
% 0.20/0.75  thf(prove_these_axioms_2, conjecture,
% 0.20/0.75    (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 0.20/0.75  thf(zf_stmt_0, negated_conjecture,
% 0.20/0.75    (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 0.20/0.75    inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 0.20/0.75  thf(zip_derived_cl2, plain,
% 0.20/0.75      (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 0.20/0.75      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.75  thf(multiply, axiom,
% 0.20/0.75    (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.20/0.75  thf(zip_derived_cl1, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i]:
% 0.20/0.75         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.20/0.75      inference('cnf', [status(esa)], [multiply])).
% 0.20/0.75  thf(zip_derived_cl1, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i]:
% 0.20/0.75         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.20/0.75      inference('cnf', [status(esa)], [multiply])).
% 0.20/0.75  thf(zip_derived_cl3, plain,
% 0.20/0.75      (((inverse @ 
% 0.20/0.75         (double_divide @ a2 @ 
% 0.20/0.75          (inverse @ (double_divide @ b2 @ (inverse @ b2)))))
% 0.20/0.75         != (a2))),
% 0.20/0.75      inference('demod', [status(thm)],
% 0.20/0.75                [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.20/0.75  thf(zip_derived_cl191, plain,
% 0.20/0.75      (![X0 : $i]:
% 0.20/0.75         ((inverse @ 
% 0.20/0.75           (double_divide @ a2 @ 
% 0.20/0.75            (inverse @ (double_divide @ X0 @ (inverse @ X0)))))
% 0.20/0.75           != (a2))),
% 0.20/0.75      inference('s_sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl3])).
% 0.20/0.75  thf(zip_derived_cl30, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i]:
% 0.20/0.75         ((double_divide @ (inverse @ X0) @ 
% 0.20/0.75           (inverse @ (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 0.20/0.75           = (X1))),
% 0.20/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl23])).
% 0.20/0.75  thf(zip_derived_cl12, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i]:
% 0.20/0.75         ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X0))) @ 
% 0.20/0.75           (inverse @ X1)) = (X1))),
% 0.20/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.20/0.75  thf(zip_derived_cl86, plain,
% 0.20/0.75      (![X0 : $i, X1 : $i]:
% 0.20/0.75         ((X0)
% 0.20/0.75           = (inverse @ 
% 0.20/0.75              (double_divide @ X0 @ 
% 0.20/0.75               (inverse @ (double_divide @ X1 @ (inverse @ X1))))))),
% 0.20/0.75      inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl12])).
% 0.20/0.75  thf(zip_derived_cl253, plain, (((a2) != (a2))),
% 0.20/0.75      inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl86])).
% 0.20/0.75  thf(zip_derived_cl254, plain, ($false),
% 0.20/0.75      inference('simplify', [status(thm)], [zip_derived_cl253])).
% 0.20/0.75  
% 0.20/0.75  % SZS output end Refutation
% 0.20/0.75  
% 0.20/0.75  
% 0.20/0.75  % Terminating...
% 1.26/0.85  % Runner terminated.
% 1.52/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------