TSTP Solution File: GRP710-10 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP710-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4IiIMZYxdy true

% Computer : n003.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 01:53:03 EDT 2023

% Result   : Unsatisfiable 0.54s 0.78s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP710-10 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4IiIMZYxdy true
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Aug 29 02:32:25 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.51/0.63  % Total configuration time : 435
% 0.51/0.63  % Estimated wc time : 1092
% 0.51/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.78  % Solved by fo/fo3_bce.sh.
% 0.54/0.78  % BCE start: 6
% 0.54/0.78  % BCE eliminated: 0
% 0.54/0.78  % PE start: 6
% 0.54/0.78  logic: eq
% 0.54/0.78  % PE eliminated: 0
% 0.54/0.78  % done 70 iterations in 0.064s
% 0.54/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.78  % SZS output start Refutation
% 0.54/0.78  thf(x0_type, type, x0: $i).
% 0.54/0.78  thf(unit_type, type, unit: $i).
% 0.54/0.78  thf(x1_type, type, x1: $i).
% 0.54/0.78  thf(mult_type, type, mult: $i > $i > $i).
% 0.54/0.78  thf(i_type, type, i: $i > $i).
% 0.54/0.78  thf(f05, axiom, (( mult @ ( i @ A ) @ A ) = ( unit ))).
% 0.54/0.78  thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 0.54/0.78      inference('cnf', [status(esa)], [f05])).
% 0.54/0.78  thf(f03, axiom,
% 0.54/0.78    (( mult @ A @ ( mult @ B @ ( mult @ B @ C ) ) ) =
% 0.54/0.78     ( mult @ ( mult @ ( mult @ A @ B ) @ B ) @ C ))).
% 0.54/0.78  thf(zip_derived_cl2, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.78         ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 0.54/0.78           = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 0.54/0.78      inference('cnf', [status(esa)], [f03])).
% 0.54/0.78  thf(zip_derived_cl27, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ (i @ X1) @ (mult @ X1 @ (mult @ X1 @ X0)))
% 0.54/0.78           = (mult @ (mult @ unit @ X1) @ X0))),
% 0.54/0.78      inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.54/0.78  thf(f02, axiom, (( mult @ unit @ A ) = ( A ))).
% 0.54/0.78  thf(zip_derived_cl1, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 0.54/0.78      inference('cnf', [status(esa)], [f02])).
% 0.54/0.78  thf(zip_derived_cl30, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ (i @ X1) @ (mult @ X1 @ (mult @ X1 @ X0))) = (mult @ X1 @ X0))),
% 0.54/0.78      inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 0.54/0.78  thf(zip_derived_cl30, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ (i @ X1) @ (mult @ X1 @ (mult @ X1 @ X0))) = (mult @ X1 @ X0))),
% 0.54/0.78      inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 0.54/0.78  thf(zip_derived_cl250, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ (i @ (i @ X1)) @ (mult @ (i @ X1) @ (mult @ X1 @ X0)))
% 0.54/0.78           = (mult @ (i @ X1) @ (mult @ X1 @ (mult @ X1 @ X0))))),
% 0.54/0.78      inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl30])).
% 0.54/0.78  thf(f04, axiom, (( mult @ A @ ( i @ A ) ) = ( unit ))).
% 0.54/0.78  thf(zip_derived_cl3, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 0.54/0.78      inference('cnf', [status(esa)], [f04])).
% 0.54/0.78  thf(zip_derived_cl2, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.78         ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 0.54/0.78           = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 0.54/0.78      inference('cnf', [status(esa)], [f03])).
% 0.54/0.78  thf(f01, axiom, (( mult @ A @ unit ) = ( A ))).
% 0.54/0.78  thf(zip_derived_cl0, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 0.54/0.78      inference('cnf', [status(esa)], [f01])).
% 0.54/0.78  thf(zip_derived_cl10, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ X1 @ (mult @ X0 @ (mult @ X0 @ unit)))
% 0.54/0.78           = (mult @ (mult @ X1 @ X0) @ X0))),
% 0.54/0.78      inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.54/0.78  thf(zip_derived_cl0, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 0.54/0.78      inference('cnf', [status(esa)], [f01])).
% 0.54/0.78  thf(zip_derived_cl25, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 0.54/0.78      inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 0.54/0.78  thf(zip_derived_cl51, plain,
% 0.54/0.78      (![X0 : $i]:
% 0.54/0.78         ((mult @ X0 @ (mult @ (i @ X0) @ (i @ X0))) = (mult @ unit @ (i @ X0)))),
% 0.54/0.78      inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl25])).
% 0.54/0.78  thf(zip_derived_cl1, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 0.54/0.78      inference('cnf', [status(esa)], [f02])).
% 0.54/0.78  thf(zip_derived_cl57, plain,
% 0.54/0.78      (![X0 : $i]: ((mult @ X0 @ (mult @ (i @ X0) @ (i @ X0))) = (i @ X0))),
% 0.54/0.78      inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl1])).
% 0.54/0.78  thf(zip_derived_cl3, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 0.54/0.78      inference('cnf', [status(esa)], [f04])).
% 0.54/0.78  thf(zip_derived_cl2, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.78         ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 0.54/0.78           = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 0.54/0.78      inference('cnf', [status(esa)], [f03])).
% 0.54/0.78  thf(zip_derived_cl16, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ X1 @ (mult @ (i @ X1) @ (mult @ (i @ X1) @ X0)))
% 0.54/0.78           = (mult @ (mult @ unit @ (i @ X1)) @ X0))),
% 0.54/0.78      inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.54/0.78  thf(zip_derived_cl1, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 0.54/0.78      inference('cnf', [status(esa)], [f02])).
% 0.54/0.78  thf(zip_derived_cl21, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ X1 @ (mult @ (i @ X1) @ (mult @ (i @ X1) @ X0)))
% 0.54/0.78           = (mult @ (i @ X1) @ X0))),
% 0.54/0.78      inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 0.54/0.78  thf(zip_derived_cl193, plain,
% 0.54/0.78      (![X0 : $i]:
% 0.54/0.78         ((mult @ X0 @ (mult @ (i @ X0) @ (i @ (i @ X0))))
% 0.54/0.78           = (mult @ (i @ X0) @ (mult @ (i @ (i @ X0)) @ (i @ (i @ X0)))))),
% 0.54/0.78      inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl21])).
% 0.54/0.78  thf(zip_derived_cl3, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 0.54/0.78      inference('cnf', [status(esa)], [f04])).
% 0.54/0.78  thf(zip_derived_cl0, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 0.54/0.78      inference('cnf', [status(esa)], [f01])).
% 0.54/0.78  thf(zip_derived_cl57, plain,
% 0.54/0.78      (![X0 : $i]: ((mult @ X0 @ (mult @ (i @ X0) @ (i @ X0))) = (i @ X0))),
% 0.54/0.78      inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl1])).
% 0.54/0.78  thf(zip_derived_cl204, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 0.54/0.78      inference('demod', [status(thm)],
% 0.54/0.78                [zip_derived_cl193, zip_derived_cl3, zip_derived_cl0, 
% 0.54/0.78                 zip_derived_cl57])).
% 0.54/0.78  thf(zip_derived_cl30, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ (i @ X1) @ (mult @ X1 @ (mult @ X1 @ X0))) = (mult @ X1 @ X0))),
% 0.54/0.78      inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 0.54/0.78  thf(zip_derived_cl268, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ X1 @ (mult @ (i @ X1) @ (mult @ X1 @ X0))) = (mult @ X1 @ X0))),
% 0.54/0.78      inference('demod', [status(thm)],
% 0.54/0.78                [zip_derived_cl250, zip_derived_cl204, zip_derived_cl30])).
% 0.54/0.78  thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 0.54/0.78      inference('cnf', [status(esa)], [f05])).
% 0.54/0.78  thf(zip_derived_cl2, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.78         ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 0.54/0.78           = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 0.54/0.78      inference('cnf', [status(esa)], [f03])).
% 0.54/0.78  thf(zip_derived_cl25, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 0.54/0.78      inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 0.54/0.78  thf(zip_derived_cl47, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.78         ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 0.54/0.78           = (mult @ (mult @ X0 @ (mult @ X1 @ X1)) @ X2))),
% 0.54/0.78      inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl25])).
% 0.54/0.78  thf(zip_derived_cl459, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ (i @ (mult @ X1 @ X1)) @ (mult @ X1 @ (mult @ X1 @ X0)))
% 0.54/0.78           = (mult @ unit @ X0))),
% 0.54/0.78      inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl47])).
% 0.54/0.78  thf(zip_derived_cl1, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 0.54/0.78      inference('cnf', [status(esa)], [f02])).
% 0.54/0.78  thf(zip_derived_cl475, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ (i @ (mult @ X1 @ X1)) @ (mult @ X1 @ (mult @ X1 @ X0)))
% 0.54/0.78           = (X0))),
% 0.54/0.78      inference('demod', [status(thm)], [zip_derived_cl459, zip_derived_cl1])).
% 0.54/0.78  thf(zip_derived_cl513, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ (i @ (mult @ X1 @ X1)) @ (mult @ X1 @ (mult @ X1 @ X0)))
% 0.54/0.78           = (mult @ (i @ X1) @ (mult @ X1 @ X0)))),
% 0.54/0.78      inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl475])).
% 0.54/0.78  thf(zip_derived_cl475, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ (i @ (mult @ X1 @ X1)) @ (mult @ X1 @ (mult @ X1 @ X0)))
% 0.54/0.78           = (X0))),
% 0.54/0.78      inference('demod', [status(thm)], [zip_derived_cl459, zip_derived_cl1])).
% 0.54/0.78  thf(zip_derived_cl540, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]: ((X0) = (mult @ (i @ X1) @ (mult @ X1 @ X0)))),
% 0.54/0.78      inference('demod', [status(thm)], [zip_derived_cl513, zip_derived_cl475])).
% 0.54/0.78  thf(zip_derived_cl21, plain,
% 0.54/0.78      (![X0 : $i, X1 : $i]:
% 0.54/0.78         ((mult @ X1 @ (mult @ (i @ X1) @ (mult @ (i @ X1) @ X0)))
% 0.54/0.78           = (mult @ (i @ X1) @ X0))),
% 0.54/0.78      inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 0.54/0.78  thf(goal, conjecture, (( mult @ x0 @ X2 ) = ( x1 ))).
% 0.54/0.78  thf(zf_stmt_0, negated_conjecture, (( mult @ x0 @ X2 ) != ( x1 )),
% 0.54/0.78    inference('cnf.neg', [status(esa)], [goal])).
% 0.54/0.78  thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ x0 @ X0) != (x1))),
% 0.54/0.78      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.78  thf(zip_derived_cl73, plain, (![X0 : $i]: ((mult @ (i @ x0) @ X0) != (x1))),
% 0.54/0.78      inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl5])).
% 0.54/0.78  thf(zip_derived_cl568, plain, (![X0 : $i]: ((X0) != (x1))),
% 0.54/0.78      inference('sup-', [status(thm)], [zip_derived_cl540, zip_derived_cl73])).
% 0.54/0.78  thf(zip_derived_cl595, plain, ($false),
% 0.54/0.78      inference('eq_res', [status(thm)], [zip_derived_cl568])).
% 0.54/0.78  
% 0.54/0.78  % SZS output end Refutation
% 0.54/0.78  
% 0.54/0.78  
% 0.54/0.78  % Terminating...
% 0.56/0.83  % Runner terminated.
% 0.56/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------