TSTP Solution File: GRP598-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP598-1 : 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.vC5eVgd8Gy true

% Computer : n011.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 01:52:16 EDT 2023

% Result   : Unsatisfiable 0.58s 0.80s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP598-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vC5eVgd8Gy true
% 0.16/0.36  % Computer : n011.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Tue Aug 29 01:54:26 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.16/0.36  % Running portfolio for 300 s
% 0.16/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.36  % Number of cores: 8
% 0.16/0.37  % Python version: Python 3.6.8
% 0.16/0.37  % Running in FO mode
% 0.23/0.65  % Total configuration time : 435
% 0.23/0.65  % Estimated wc time : 1092
% 0.23/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.80  % Solved by fo/fo6_bce.sh.
% 0.58/0.80  % BCE start: 3
% 0.58/0.80  % BCE eliminated: 0
% 0.58/0.80  % PE start: 3
% 0.58/0.80  logic: eq
% 0.58/0.80  % PE eliminated: 0
% 0.58/0.80  % done 22 iterations in 0.058s
% 0.58/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.80  % SZS output start Refutation
% 0.58/0.80  thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/0.80  thf(a2_type, type, a2: $i).
% 0.58/0.80  thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.58/0.80  thf(b2_type, type, b2: $i).
% 0.58/0.80  thf(inverse_type, type, inverse: $i > $i).
% 0.58/0.80  thf(prove_these_axioms_2, conjecture,
% 0.58/0.80    (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 0.58/0.80  thf(zf_stmt_0, negated_conjecture,
% 0.58/0.80    (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 0.58/0.80    inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 0.58/0.80  thf(zip_derived_cl2, plain,
% 0.58/0.80      (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 0.58/0.80      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.80  thf(multiply, axiom,
% 0.58/0.80    (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.58/0.80  thf(zip_derived_cl1, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i]:
% 0.58/0.80         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/0.80      inference('cnf', [status(esa)], [multiply])).
% 0.58/0.80  thf(zip_derived_cl1, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i]:
% 0.58/0.80         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/0.80      inference('cnf', [status(esa)], [multiply])).
% 0.58/0.80  thf(zip_derived_cl3, plain,
% 0.58/0.80      (((inverse @ 
% 0.58/0.80         (double_divide @ a2 @ 
% 0.58/0.80          (inverse @ (double_divide @ b2 @ (inverse @ b2)))))
% 0.58/0.80         != (a2))),
% 0.58/0.80      inference('demod', [status(thm)],
% 0.58/0.80                [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.58/0.80  thf(single_axiom, axiom,
% 0.58/0.80    (( double_divide @
% 0.58/0.80       ( double_divide @ A @ B ) @ 
% 0.58/0.80       ( inverse @
% 0.58/0.80         ( double_divide @
% 0.58/0.80           A @ ( inverse @ ( double_divide @ ( inverse @ C ) @ B ) ) ) ) ) =
% 0.58/0.80     ( C ))).
% 0.58/0.80  thf(zip_derived_cl0, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80         ((double_divide @ (double_divide @ X1 @ X2) @ 
% 0.58/0.80           (inverse @ 
% 0.58/0.80            (double_divide @ X1 @ 
% 0.58/0.80             (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.58/0.80           = (X0))),
% 0.58/0.80      inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.80  thf(zip_derived_cl0, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80         ((double_divide @ (double_divide @ X1 @ X2) @ 
% 0.58/0.80           (inverse @ 
% 0.58/0.80            (double_divide @ X1 @ 
% 0.58/0.80             (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.58/0.80           = (X0))),
% 0.58/0.80      inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.80  thf(zip_derived_cl4, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.80         ((double_divide @ X0 @ 
% 0.58/0.80           (inverse @ 
% 0.58/0.80            (double_divide @ (double_divide @ X3 @ X2) @ 
% 0.58/0.80             (inverse @ 
% 0.58/0.80              (double_divide @ (inverse @ X1) @ 
% 0.58/0.80               (inverse @ 
% 0.58/0.80                (double_divide @ X3 @ 
% 0.58/0.80                 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))))))
% 0.58/0.80           = (X1))),
% 0.58/0.80      inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.58/0.80  thf(zip_derived_cl4, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.80         ((double_divide @ X0 @ 
% 0.58/0.80           (inverse @ 
% 0.58/0.80            (double_divide @ (double_divide @ X3 @ X2) @ 
% 0.58/0.80             (inverse @ 
% 0.58/0.80              (double_divide @ (inverse @ X1) @ 
% 0.58/0.80               (inverse @ 
% 0.58/0.80                (double_divide @ X3 @ 
% 0.58/0.80                 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))))))
% 0.58/0.80           = (X1))),
% 0.58/0.80      inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.58/0.80  thf(zip_derived_cl22, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.80         ((double_divide @ X0 @ 
% 0.58/0.80           (inverse @ 
% 0.58/0.80            (double_divide @ 
% 0.58/0.80             (double_divide @ (double_divide @ X3 @ X2) @ 
% 0.58/0.80              (inverse @ 
% 0.58/0.80               (double_divide @ X3 @ 
% 0.58/0.80                (inverse @ (double_divide @ (inverse @ (inverse @ X1)) @ X2))))) @ 
% 0.58/0.80             (inverse @ X0))))
% 0.58/0.80           = (X1))),
% 0.58/0.80      inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 0.58/0.80  thf(zip_derived_cl0, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80         ((double_divide @ (double_divide @ X1 @ X2) @ 
% 0.58/0.80           (inverse @ 
% 0.58/0.80            (double_divide @ X1 @ 
% 0.58/0.80             (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.58/0.80           = (X0))),
% 0.58/0.80      inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.80  thf(zip_derived_cl31, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i]:
% 0.58/0.80         ((double_divide @ X0 @ 
% 0.58/0.80           (inverse @ (double_divide @ (inverse @ X1) @ (inverse @ X0))))
% 0.58/0.80           = (X1))),
% 0.58/0.80      inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl0])).
% 0.58/0.80  thf(zip_derived_cl0, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80         ((double_divide @ (double_divide @ X1 @ X2) @ 
% 0.58/0.80           (inverse @ 
% 0.58/0.80            (double_divide @ X1 @ 
% 0.58/0.80             (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.58/0.80           = (X0))),
% 0.58/0.80      inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.80  thf(zip_derived_cl35, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i]:
% 0.58/0.80         ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @ 
% 0.58/0.80           (inverse @ X0)) = (X0))),
% 0.58/0.80      inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 0.58/0.80  thf(zip_derived_cl31, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i]:
% 0.58/0.80         ((double_divide @ X0 @ 
% 0.58/0.80           (inverse @ (double_divide @ (inverse @ X1) @ (inverse @ X0))))
% 0.58/0.80           = (X1))),
% 0.58/0.80      inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl0])).
% 0.58/0.80  thf(zip_derived_cl52, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i]:
% 0.58/0.80         ((double_divide @ (inverse @ X1) @ 
% 0.58/0.80           (inverse @ (double_divide @ X0 @ (inverse @ X0)))) = (X1))),
% 0.58/0.80      inference('s_sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl31])).
% 0.58/0.80  thf(zip_derived_cl52, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i]:
% 0.58/0.80         ((double_divide @ (inverse @ X1) @ 
% 0.58/0.80           (inverse @ (double_divide @ X0 @ (inverse @ X0)))) = (X1))),
% 0.58/0.80      inference('s_sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl31])).
% 0.58/0.80  thf(zip_derived_cl0, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80         ((double_divide @ (double_divide @ X1 @ X2) @ 
% 0.58/0.80           (inverse @ 
% 0.58/0.80            (double_divide @ X1 @ 
% 0.58/0.80             (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.58/0.80           = (X0))),
% 0.58/0.80      inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.80  thf(zip_derived_cl0, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80         ((double_divide @ (double_divide @ X1 @ X2) @ 
% 0.58/0.80           (inverse @ 
% 0.58/0.80            (double_divide @ X1 @ 
% 0.58/0.80             (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.58/0.80           = (X0))),
% 0.58/0.80      inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.80  thf(zip_derived_cl5, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80         ((double_divide @ 
% 0.58/0.80           (double_divide @ (double_divide @ (inverse @ X1) @ X2) @ 
% 0.58/0.80            (inverse @ (double_divide @ (inverse @ X0) @ X2))) @ 
% 0.58/0.80           (inverse @ X0)) = (X1))),
% 0.58/0.80      inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.58/0.80  thf(zip_derived_cl96, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80         ((double_divide @ 
% 0.58/0.80           (double_divide @ 
% 0.58/0.80            (double_divide @ (inverse @ X1) @ 
% 0.58/0.80             (inverse @ (double_divide @ X2 @ (inverse @ X2)))) @ 
% 0.58/0.80            (inverse @ X0)) @ 
% 0.58/0.80           (inverse @ X0)) = (X1))),
% 0.58/0.80      inference('s_sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl5])).
% 0.58/0.80  thf(zip_derived_cl52, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i]:
% 0.58/0.80         ((double_divide @ (inverse @ X1) @ 
% 0.58/0.80           (inverse @ (double_divide @ X0 @ (inverse @ X0)))) = (X1))),
% 0.58/0.80      inference('s_sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl31])).
% 0.58/0.80  thf(zip_derived_cl109, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i]:
% 0.58/0.80         ((double_divide @ (double_divide @ X1 @ (inverse @ X0)) @ 
% 0.58/0.80           (inverse @ X0)) = (X1))),
% 0.58/0.80      inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl52])).
% 0.58/0.80  thf(zip_derived_cl176, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i]:
% 0.58/0.80         ((double_divide @ X0 @ 
% 0.58/0.80           (inverse @ (double_divide @ X1 @ (inverse @ X1)))) = (inverse @ X0))),
% 0.58/0.80      inference('s_sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl109])).
% 0.58/0.80  thf(zip_derived_cl177, plain, (((inverse @ (inverse @ a2)) != (a2))),
% 0.58/0.80      inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl176])).
% 0.58/0.80  thf(zip_derived_cl176, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i]:
% 0.58/0.80         ((double_divide @ X0 @ 
% 0.58/0.80           (inverse @ (double_divide @ X1 @ (inverse @ X1)))) = (inverse @ X0))),
% 0.58/0.80      inference('s_sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl109])).
% 0.58/0.80  thf(zip_derived_cl31, plain,
% 0.58/0.80      (![X0 : $i, X1 : $i]:
% 0.58/0.80         ((double_divide @ X0 @ 
% 0.58/0.80           (inverse @ (double_divide @ (inverse @ X1) @ (inverse @ X0))))
% 0.58/0.80           = (X1))),
% 0.58/0.80      inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl0])).
% 0.58/0.80  thf(zip_derived_cl182, plain,
% 0.58/0.80      (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.58/0.80      inference('s_sup+', [status(thm)], [zip_derived_cl176, zip_derived_cl31])).
% 0.58/0.80  thf(zip_derived_cl236, plain, (((a2) != (a2))),
% 0.58/0.80      inference('demod', [status(thm)], [zip_derived_cl177, zip_derived_cl182])).
% 0.58/0.80  thf(zip_derived_cl237, plain, ($false),
% 0.58/0.80      inference('simplify', [status(thm)], [zip_derived_cl236])).
% 0.58/0.80  
% 0.58/0.80  % SZS output end Refutation
% 0.58/0.80  
% 0.58/0.80  
% 0.58/0.80  % Terminating...
% 0.65/0.86  % Runner terminated.
% 0.65/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------