TSTP Solution File: GRP597-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP597-1 : 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.Jp3Aon7TNj true

% Computer : n024.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 01:52:15 EDT 2023

% Result   : Unsatisfiable 0.19s 0.75s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP597-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Jp3Aon7TNj true
% 0.13/0.34  % Computer : n024.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 : Mon Aug 28 19:39:08 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.19/0.64  % Total configuration time : 435
% 0.19/0.64  % Estimated wc time : 1092
% 0.19/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.75  % Solved by fo/fo3_bce.sh.
% 0.19/0.75  % BCE start: 3
% 0.19/0.75  % BCE eliminated: 0
% 0.19/0.75  % PE start: 3
% 0.19/0.75  logic: eq
% 0.19/0.75  % PE eliminated: 0
% 0.19/0.75  % done 14 iterations in 0.020s
% 0.19/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.19/0.75  % SZS output start Refutation
% 0.19/0.75  thf(multiply_type, type, multiply: $i > $i > $i).
% 0.19/0.75  thf(b1_type, type, b1: $i).
% 0.19/0.75  thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.19/0.75  thf(a1_type, type, a1: $i).
% 0.19/0.75  thf(inverse_type, type, inverse: $i > $i).
% 0.19/0.75  thf(single_axiom, axiom,
% 0.19/0.75    (( double_divide @
% 0.19/0.75       ( double_divide @ A @ B ) @ 
% 0.19/0.75       ( inverse @
% 0.19/0.75         ( double_divide @
% 0.19/0.75           A @ ( inverse @ ( double_divide @ ( inverse @ C ) @ B ) ) ) ) ) =
% 0.19/0.75     ( C ))).
% 0.19/0.75  thf(zip_derived_cl0, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.75         ((double_divide @ (double_divide @ X1 @ X2) @ 
% 0.19/0.75           (inverse @ 
% 0.19/0.75            (double_divide @ X1 @ 
% 0.19/0.75             (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.19/0.75           = (X0))),
% 0.19/0.75      inference('cnf', [status(esa)], [single_axiom])).
% 0.19/0.75  thf(zip_derived_cl0, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.75         ((double_divide @ (double_divide @ X1 @ X2) @ 
% 0.19/0.75           (inverse @ 
% 0.19/0.75            (double_divide @ X1 @ 
% 0.19/0.75             (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.19/0.75           = (X0))),
% 0.19/0.75      inference('cnf', [status(esa)], [single_axiom])).
% 0.19/0.75  thf(zip_derived_cl4, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.19/0.75         ((double_divide @ X0 @ 
% 0.19/0.75           (inverse @ 
% 0.19/0.75            (double_divide @ (double_divide @ X3 @ X2) @ 
% 0.19/0.75             (inverse @ 
% 0.19/0.75              (double_divide @ (inverse @ X1) @ 
% 0.19/0.75               (inverse @ 
% 0.19/0.75                (double_divide @ X3 @ 
% 0.19/0.75                 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))))))
% 0.19/0.75           = (X1))),
% 0.19/0.75      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.19/0.75  thf(zip_derived_cl4, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.19/0.75         ((double_divide @ X0 @ 
% 0.19/0.75           (inverse @ 
% 0.19/0.75            (double_divide @ (double_divide @ X3 @ X2) @ 
% 0.19/0.75             (inverse @ 
% 0.19/0.75              (double_divide @ (inverse @ X1) @ 
% 0.19/0.75               (inverse @ 
% 0.19/0.75                (double_divide @ X3 @ 
% 0.19/0.75                 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))))))
% 0.19/0.75           = (X1))),
% 0.19/0.75      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.19/0.75  thf(zip_derived_cl17, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.19/0.75         ((double_divide @ X0 @ 
% 0.19/0.75           (inverse @ 
% 0.19/0.75            (double_divide @ 
% 0.19/0.75             (double_divide @ (double_divide @ X3 @ X2) @ 
% 0.19/0.75              (inverse @ 
% 0.19/0.75               (double_divide @ X3 @ 
% 0.19/0.75                (inverse @ (double_divide @ (inverse @ (inverse @ X1)) @ X2))))) @ 
% 0.19/0.75             (inverse @ X0))))
% 0.19/0.75           = (X1))),
% 0.19/0.75      inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 0.19/0.75  thf(zip_derived_cl0, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.75         ((double_divide @ (double_divide @ X1 @ X2) @ 
% 0.19/0.75           (inverse @ 
% 0.19/0.75            (double_divide @ X1 @ 
% 0.19/0.75             (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.19/0.75           = (X0))),
% 0.19/0.75      inference('cnf', [status(esa)], [single_axiom])).
% 0.19/0.75  thf(zip_derived_cl24, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i]:
% 0.19/0.75         ((double_divide @ X0 @ 
% 0.19/0.75           (inverse @ (double_divide @ (inverse @ X1) @ (inverse @ X0))))
% 0.19/0.75           = (X1))),
% 0.19/0.75      inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 0.19/0.75  thf(zip_derived_cl0, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.75         ((double_divide @ (double_divide @ X1 @ X2) @ 
% 0.19/0.75           (inverse @ 
% 0.19/0.75            (double_divide @ X1 @ 
% 0.19/0.75             (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.19/0.75           = (X0))),
% 0.19/0.75      inference('cnf', [status(esa)], [single_axiom])).
% 0.19/0.75  thf(zip_derived_cl28, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i]:
% 0.19/0.75         ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @ 
% 0.19/0.75           (inverse @ X0)) = (X0))),
% 0.19/0.75      inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 0.19/0.75  thf(zip_derived_cl28, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i]:
% 0.19/0.75         ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @ 
% 0.19/0.75           (inverse @ X0)) = (X0))),
% 0.19/0.75      inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 0.19/0.75  thf(zip_derived_cl24, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i]:
% 0.19/0.75         ((double_divide @ X0 @ 
% 0.19/0.75           (inverse @ (double_divide @ (inverse @ X1) @ (inverse @ X0))))
% 0.19/0.75           = (X1))),
% 0.19/0.75      inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 0.19/0.75  thf(zip_derived_cl42, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i]:
% 0.19/0.75         ((double_divide @ (inverse @ X1) @ 
% 0.19/0.75           (inverse @ (double_divide @ X0 @ (inverse @ X0)))) = (X1))),
% 0.19/0.75      inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl24])).
% 0.19/0.75  thf(zip_derived_cl0, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.75         ((double_divide @ (double_divide @ X1 @ X2) @ 
% 0.19/0.75           (inverse @ 
% 0.19/0.75            (double_divide @ X1 @ 
% 0.19/0.75             (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.19/0.75           = (X0))),
% 0.19/0.75      inference('cnf', [status(esa)], [single_axiom])).
% 0.19/0.75  thf(zip_derived_cl0, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.75         ((double_divide @ (double_divide @ X1 @ X2) @ 
% 0.19/0.75           (inverse @ 
% 0.19/0.75            (double_divide @ X1 @ 
% 0.19/0.75             (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.19/0.75           = (X0))),
% 0.19/0.75      inference('cnf', [status(esa)], [single_axiom])).
% 0.19/0.75  thf(zip_derived_cl5, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.75         ((double_divide @ 
% 0.19/0.75           (double_divide @ (double_divide @ (inverse @ X1) @ X2) @ 
% 0.19/0.75            (inverse @ (double_divide @ (inverse @ X0) @ X2))) @ 
% 0.19/0.75           (inverse @ X0)) = (X1))),
% 0.19/0.75      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.19/0.75  thf(zip_derived_cl57, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.75         ((double_divide @ 
% 0.19/0.75           (double_divide @ 
% 0.19/0.75            (double_divide @ (inverse @ X1) @ 
% 0.19/0.75             (inverse @ (double_divide @ X2 @ (inverse @ X2)))) @ 
% 0.19/0.75            (inverse @ X0)) @ 
% 0.19/0.75           (inverse @ X0)) = (X1))),
% 0.19/0.75      inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl5])).
% 0.19/0.75  thf(zip_derived_cl42, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i]:
% 0.19/0.75         ((double_divide @ (inverse @ X1) @ 
% 0.19/0.75           (inverse @ (double_divide @ X0 @ (inverse @ X0)))) = (X1))),
% 0.19/0.75      inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl24])).
% 0.19/0.75  thf(zip_derived_cl64, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i]:
% 0.19/0.75         ((double_divide @ (double_divide @ X1 @ (inverse @ X0)) @ 
% 0.19/0.75           (inverse @ X0)) = (X1))),
% 0.19/0.75      inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl42])).
% 0.19/0.75  thf(zip_derived_cl74, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i]:
% 0.19/0.75         ((double_divide @ X0 @ (inverse @ X0))
% 0.19/0.75           = (double_divide @ X1 @ (inverse @ X1)))),
% 0.19/0.75      inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl64])).
% 0.19/0.75  thf(prove_these_axioms_1, conjecture,
% 0.19/0.75    (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 0.19/0.75     ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 0.19/0.75  thf(zf_stmt_0, negated_conjecture,
% 0.19/0.75    (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.19/0.75     ( multiply @ ( inverse @ b1 ) @ b1 )),
% 0.19/0.75    inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 0.19/0.75  thf(zip_derived_cl2, plain,
% 0.19/0.75      (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 0.19/0.75      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.19/0.75  thf(multiply, axiom,
% 0.19/0.75    (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.19/0.75  thf(zip_derived_cl1, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i]:
% 0.19/0.75         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.19/0.75      inference('cnf', [status(esa)], [multiply])).
% 0.19/0.75  thf(zip_derived_cl1, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i]:
% 0.19/0.75         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.19/0.75      inference('cnf', [status(esa)], [multiply])).
% 0.19/0.75  thf(zip_derived_cl3, plain,
% 0.19/0.75      (((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 0.19/0.75         != (inverse @ (double_divide @ b1 @ (inverse @ b1))))),
% 0.19/0.75      inference('demod', [status(thm)],
% 0.19/0.75                [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.19/0.75  thf(zip_derived_cl94, plain,
% 0.19/0.75      (![X0 : $i]:
% 0.19/0.75         ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 0.19/0.75           != (inverse @ (double_divide @ X0 @ (inverse @ X0))))),
% 0.19/0.75      inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl3])).
% 0.19/0.75  thf(zip_derived_cl74, plain,
% 0.19/0.75      (![X0 : $i, X1 : $i]:
% 0.19/0.75         ((double_divide @ X0 @ (inverse @ X0))
% 0.19/0.75           = (double_divide @ X1 @ (inverse @ X1)))),
% 0.19/0.75      inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl64])).
% 0.19/0.75  thf(zip_derived_cl120, plain, ($false),
% 0.19/0.75      inference('simplify_reflect+', [status(thm)],
% 0.19/0.75                [zip_derived_cl94, zip_derived_cl74])).
% 0.19/0.75  
% 0.19/0.75  % SZS output end Refutation
% 0.19/0.75  
% 0.19/0.75  
% 0.19/0.75  % Terminating...
% 1.54/0.85  % Runner terminated.
% 1.54/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------