TSTP Solution File: GRP607-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP607-1 : 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.DkSvdbBfsZ true

% Computer : n010.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 01:52:18 EDT 2023

% Result   : Unsatisfiable 1.73s 0.99s
% Output   : Refutation 1.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP607-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DkSvdbBfsZ true
% 0.15/0.35  % Computer : n010.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 01:40:04 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.80  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.80  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.80  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.83  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.73/0.99  % Solved by fo/fo1_av.sh.
% 1.73/0.99  % done 70 iterations in 0.167s
% 1.73/0.99  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.73/0.99  % SZS output start Refutation
% 1.73/0.99  thf(multiply_type, type, multiply: $i > $i > $i).
% 1.73/0.99  thf(b3_type, type, b3: $i).
% 1.73/0.99  thf(inverse_type, type, inverse: $i > $i).
% 1.73/0.99  thf(double_divide_type, type, double_divide: $i > $i > $i).
% 1.73/0.99  thf(a3_type, type, a3: $i).
% 1.73/0.99  thf(c3_type, type, c3: $i).
% 1.73/0.99  thf(prove_these_axioms_3, conjecture,
% 1.73/0.99    (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 1.73/0.99     ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 1.73/0.99  thf(zf_stmt_0, negated_conjecture,
% 1.73/0.99    (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.73/0.99     ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 1.73/0.99    inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 1.73/0.99  thf(zip_derived_cl2, plain,
% 1.73/0.99      (((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.73/0.99         != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.73/0.99      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.73/0.99  thf(multiply, axiom,
% 1.73/0.99    (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 1.73/0.99  thf(zip_derived_cl1, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.73/0.99      inference('cnf', [status(esa)], [multiply])).
% 1.73/0.99  thf(single_axiom, axiom,
% 1.73/0.99    (( double_divide @
% 1.73/0.99       ( inverse @
% 1.73/0.99         ( double_divide @
% 1.73/0.99           A @ 
% 1.73/0.99           ( inverse @
% 1.73/0.99             ( double_divide @ ( inverse @ B ) @ ( double_divide @ A @ C ) ) ) ) ) @ 
% 1.73/0.99       C ) =
% 1.73/0.99     ( B ))).
% 1.73/0.99  thf(zip_derived_cl0, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.73/0.99         ((double_divide @ 
% 1.73/0.99           (inverse @ 
% 1.73/0.99            (double_divide @ X1 @ 
% 1.73/0.99             (inverse @ 
% 1.73/0.99              (double_divide @ (inverse @ X0) @ (double_divide @ X1 @ X2))))) @ 
% 1.73/0.99           X2) = (X0))),
% 1.73/0.99      inference('cnf', [status(esa)], [single_axiom])).
% 1.73/0.99  thf(zip_derived_cl1, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.73/0.99      inference('cnf', [status(esa)], [multiply])).
% 1.73/0.99  thf(zip_derived_cl1, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.73/0.99      inference('cnf', [status(esa)], [multiply])).
% 1.73/0.99  thf(zip_derived_cl3, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.73/0.99         ((double_divide @ 
% 1.73/0.99           (multiply @ 
% 1.73/0.99            (multiply @ (double_divide @ X1 @ X2) @ (inverse @ X0)) @ X1) @ 
% 1.73/0.99           X2) = (X0))),
% 1.73/0.99      inference('demod', [status(thm)],
% 1.73/0.99                [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 1.73/0.99  thf(zip_derived_cl1, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.73/0.99      inference('cnf', [status(esa)], [multiply])).
% 1.73/0.99  thf(zip_derived_cl5, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.73/0.99         ((multiply @ X1 @ 
% 1.73/0.99           (multiply @ 
% 1.73/0.99            (multiply @ (double_divide @ X2 @ X1) @ (inverse @ X0)) @ X2))
% 1.73/0.99           = (inverse @ X0))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.73/0.99  thf(zip_derived_cl3, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.73/0.99         ((double_divide @ 
% 1.73/0.99           (multiply @ 
% 1.73/0.99            (multiply @ (double_divide @ X1 @ X2) @ (inverse @ X0)) @ X1) @ 
% 1.73/0.99           X2) = (X0))),
% 1.73/0.99      inference('demod', [status(thm)],
% 1.73/0.99                [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 1.73/0.99  thf(zip_derived_cl3, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.73/0.99         ((double_divide @ 
% 1.73/0.99           (multiply @ 
% 1.73/0.99            (multiply @ (double_divide @ X1 @ X2) @ (inverse @ X0)) @ X1) @ 
% 1.73/0.99           X2) = (X0))),
% 1.73/0.99      inference('demod', [status(thm)],
% 1.73/0.99                [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 1.73/0.99  thf(zip_derived_cl4, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.73/0.99         ((double_divide @ 
% 1.73/0.99           (multiply @ (multiply @ X0 @ (inverse @ X1)) @ 
% 1.73/0.99            (multiply @ 
% 1.73/0.99             (multiply @ (double_divide @ X3 @ X2) @ (inverse @ X0)) @ X3)) @ 
% 1.73/0.99           X2) = (X1))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 1.73/0.99  thf(zip_derived_cl22, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((double_divide @ (inverse @ X0) @ (multiply @ X0 @ (inverse @ X1)))
% 1.73/0.99           = (X1))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 1.73/0.99  thf(zip_derived_cl1, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.73/0.99      inference('cnf', [status(esa)], [multiply])).
% 1.73/0.99  thf(zip_derived_cl28, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ (inverse @ X1))
% 1.73/0.99           = (inverse @ X0))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 1.73/0.99  thf(zip_derived_cl28, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ (inverse @ X1))
% 1.73/0.99           = (inverse @ X0))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 1.73/0.99  thf(zip_derived_cl22, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((double_divide @ (inverse @ X0) @ (multiply @ X0 @ (inverse @ X1)))
% 1.73/0.99           = (X1))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 1.73/0.99  thf(zip_derived_cl36, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((double_divide @ (inverse @ (multiply @ X1 @ (inverse @ X0))) @ 
% 1.73/0.99           (inverse @ X0)) = (X1))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl22])).
% 1.73/0.99  thf(zip_derived_cl47, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((double_divide @ (inverse @ (inverse @ X0)) @ (inverse @ X1))
% 1.73/0.99           = (multiply @ X1 @ (inverse @ X0)))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl36])).
% 1.73/0.99  thf(zip_derived_cl55, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.73/0.99         ((double_divide @ (inverse @ (multiply @ X1 @ X0)) @ (inverse @ X2))
% 1.73/0.99           = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl47])).
% 1.73/0.99  thf(zip_derived_cl36, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((double_divide @ (inverse @ (multiply @ X1 @ (inverse @ X0))) @ 
% 1.73/0.99           (inverse @ X0)) = (X1))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl22])).
% 1.73/0.99  thf(zip_derived_cl280, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl36])).
% 1.73/0.99  thf(zip_derived_cl1, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.73/0.99      inference('cnf', [status(esa)], [multiply])).
% 1.73/0.99  thf(zip_derived_cl5, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.73/0.99         ((multiply @ X1 @ 
% 1.73/0.99           (multiply @ 
% 1.73/0.99            (multiply @ (double_divide @ X2 @ X1) @ (inverse @ X0)) @ X2))
% 1.73/0.99           = (inverse @ X0))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.73/0.99  thf(zip_derived_cl8, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.73/0.99         ((multiply @ X3 @ 
% 1.73/0.99           (multiply @ 
% 1.73/0.99            (multiply @ (double_divide @ X2 @ X3) @ (multiply @ X1 @ X0)) @ X2))
% 1.73/0.99           = (multiply @ X1 @ X0))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 1.73/0.99  thf(zip_derived_cl308, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.73/0.99         ((multiply @ X1 @ (multiply @ X0 @ X2))
% 1.73/0.99           = (multiply @ X0 @ (inverse @ (double_divide @ X2 @ X1))))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl280, zip_derived_cl8])).
% 1.73/0.99  thf(zip_derived_cl1, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.73/0.99      inference('cnf', [status(esa)], [multiply])).
% 1.73/0.99  thf(zip_derived_cl320, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.73/0.99         ((multiply @ X1 @ (multiply @ X0 @ X2))
% 1.73/0.99           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.73/0.99      inference('demod', [status(thm)], [zip_derived_cl308, zip_derived_cl1])).
% 1.73/0.99  thf(zip_derived_cl280, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl36])).
% 1.73/0.99  thf(zip_derived_cl339, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl280])).
% 1.73/0.99  thf(zip_derived_cl320, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.73/0.99         ((multiply @ X1 @ (multiply @ X0 @ X2))
% 1.73/0.99           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.73/0.99      inference('demod', [status(thm)], [zip_derived_cl308, zip_derived_cl1])).
% 1.73/0.99  thf(zip_derived_cl447, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.73/0.99         ((multiply @ X0 @ (multiply @ X2 @ (multiply @ X1 @ (inverse @ X1))))
% 1.73/0.99           = (multiply @ X2 @ X0))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl339, zip_derived_cl320])).
% 1.73/0.99  thf(zip_derived_cl339, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i]:
% 1.73/0.99         ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 1.73/0.99      inference('s_sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl280])).
% 1.73/0.99  thf(zip_derived_cl468, plain,
% 1.73/0.99      (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 1.73/0.99      inference('demod', [status(thm)], [zip_derived_cl447, zip_derived_cl339])).
% 1.73/0.99  thf(zip_derived_cl320, plain,
% 1.73/0.99      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.73/0.99         ((multiply @ X1 @ (multiply @ X0 @ X2))
% 1.73/0.99           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.73/0.99      inference('demod', [status(thm)], [zip_derived_cl308, zip_derived_cl1])).
% 1.73/0.99  thf(zip_derived_cl468, plain,
% 1.73/0.99      (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 1.73/0.99      inference('demod', [status(thm)], [zip_derived_cl447, zip_derived_cl339])).
% 1.73/0.99  thf(zip_derived_cl470, plain,
% 1.73/0.99      (((multiply @ a3 @ (multiply @ b3 @ c3))
% 1.73/0.99         != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.73/0.99      inference('demod', [status(thm)],
% 1.73/0.99                [zip_derived_cl2, zip_derived_cl468, zip_derived_cl320, 
% 1.73/0.99                 zip_derived_cl468])).
% 1.73/0.99  thf(zip_derived_cl471, plain, ($false),
% 1.73/0.99      inference('simplify', [status(thm)], [zip_derived_cl470])).
% 1.73/0.99  
% 1.73/0.99  % SZS output end Refutation
% 1.73/0.99  
% 1.73/0.99  
% 1.73/1.00  % Terminating...
% 1.99/1.10  % Runner terminated.
% 1.99/1.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------