TSTP Solution File: COL041-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COL041-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YhkuPd8Rqn 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 : Wed Aug 30 18:34:30 EDT 2023

% Result   : Unsatisfiable 10.81s 2.20s
% Output   : Refutation 10.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : COL041-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YhkuPd8Rqn true
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 04:26:09 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.81/2.20  % Solved by fo/fo4.sh.
% 10.81/2.20  % done 183 iterations in 1.383s
% 10.81/2.20  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.81/2.20  % SZS output start Refutation
% 10.81/2.20  thf(m_type, type, m: $i).
% 10.81/2.20  thf(f_type, type, f: $i > $i).
% 10.81/2.20  thf(b_type, type, b: $i).
% 10.81/2.20  thf(apply_type, type, apply: $i > $i > $i).
% 10.81/2.20  thf(c_type, type, c: $i).
% 10.81/2.20  thf(m_definition, axiom, (( apply @ m @ X ) = ( apply @ X @ X ))).
% 10.81/2.20  thf(zip_derived_cl1, plain,
% 10.81/2.20      (![X0 : $i]: ((apply @ m @ X0) = (apply @ X0 @ X0))),
% 10.81/2.20      inference('cnf', [status(esa)], [m_definition])).
% 10.81/2.20  thf(b_definition, axiom,
% 10.81/2.20    (( apply @ ( apply @ ( apply @ b @ X ) @ Y ) @ Z ) =
% 10.81/2.20     ( apply @ X @ ( apply @ Y @ Z ) ))).
% 10.81/2.20  thf(zip_derived_cl0, plain,
% 10.81/2.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 10.81/2.20         ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 10.81/2.20           = (apply @ X0 @ (apply @ X1 @ X2)))),
% 10.81/2.20      inference('cnf', [status(esa)], [b_definition])).
% 10.81/2.20  thf(zip_derived_cl5, plain,
% 10.81/2.20      (![X0 : $i, X1 : $i]:
% 10.81/2.20         ((apply @ m @ (apply @ (apply @ b @ X1) @ X0))
% 10.81/2.20           = (apply @ X1 @ (apply @ X0 @ (apply @ (apply @ b @ X1) @ X0))))),
% 10.81/2.20      inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 10.81/2.20  thf(c_definition, axiom,
% 10.81/2.20    (( apply @ ( apply @ ( apply @ c @ X ) @ Y ) @ Z ) =
% 10.81/2.20     ( apply @ ( apply @ X @ Z ) @ Y ))).
% 10.81/2.20  thf(zip_derived_cl2, plain,
% 10.81/2.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 10.81/2.20         ((apply @ (apply @ (apply @ c @ X0) @ X2) @ X1)
% 10.81/2.20           = (apply @ (apply @ X0 @ X1) @ X2))),
% 10.81/2.20      inference('cnf', [status(esa)], [c_definition])).
% 10.81/2.20  thf(zip_derived_cl0, plain,
% 10.81/2.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 10.81/2.20         ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 10.81/2.20           = (apply @ X0 @ (apply @ X1 @ X2)))),
% 10.81/2.20      inference('cnf', [status(esa)], [b_definition])).
% 10.81/2.20  thf(prove_fixed_point, conjecture,
% 10.81/2.20    (( apply @ Y @ ( f @ Y ) ) =
% 10.81/2.20     ( apply @ ( f @ Y ) @ ( apply @ Y @ ( f @ Y ) ) ))).
% 10.81/2.20  thf(zf_stmt_0, negated_conjecture,
% 10.81/2.20    (( apply @ Y @ ( f @ Y ) ) !=
% 10.81/2.20     ( apply @ ( f @ Y ) @ ( apply @ Y @ ( f @ Y ) ) )),
% 10.81/2.20    inference('cnf.neg', [status(esa)], [prove_fixed_point])).
% 10.81/2.20  thf(zip_derived_cl3, plain,
% 10.81/2.20      (![X0 : $i]:
% 10.81/2.20         ((apply @ X0 @ (f @ X0))
% 10.81/2.20           != (apply @ (f @ X0) @ (apply @ X0 @ (f @ X0))))),
% 10.81/2.20      inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.81/2.20  thf(zip_derived_cl4, plain,
% 10.81/2.20      (![X0 : $i, X1 : $i]:
% 10.81/2.20         ((apply @ (apply @ (apply @ b @ X1) @ X0) @ 
% 10.81/2.20           (f @ (apply @ (apply @ b @ X1) @ X0)))
% 10.81/2.20           != (apply @ (f @ (apply @ (apply @ b @ X1) @ X0)) @ 
% 10.81/2.20               (apply @ X1 @ 
% 10.81/2.20                (apply @ X0 @ (f @ (apply @ (apply @ b @ X1) @ X0))))))),
% 10.81/2.20      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 10.81/2.20  thf(zip_derived_cl0, plain,
% 10.81/2.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 10.81/2.20         ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 10.81/2.20           = (apply @ X0 @ (apply @ X1 @ X2)))),
% 10.81/2.20      inference('cnf', [status(esa)], [b_definition])).
% 10.81/2.20  thf(zip_derived_cl7, plain,
% 10.81/2.20      (![X0 : $i, X1 : $i]:
% 10.81/2.20         ((apply @ X1 @ (apply @ X0 @ (f @ (apply @ (apply @ b @ X1) @ X0))))
% 10.81/2.20           != (apply @ (f @ (apply @ (apply @ b @ X1) @ X0)) @ 
% 10.81/2.20               (apply @ X1 @ 
% 10.81/2.20                (apply @ X0 @ (f @ (apply @ (apply @ b @ X1) @ X0))))))),
% 10.81/2.20      inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 10.81/2.20  thf(zip_derived_cl22, plain,
% 10.81/2.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 10.81/2.20         ((apply @ X2 @ 
% 10.81/2.20           (apply @ (apply @ (apply @ c @ X1) @ X0) @ 
% 10.81/2.20            (f @ (apply @ (apply @ b @ X2) @ (apply @ (apply @ c @ X1) @ X0)))))
% 10.81/2.20           != (apply @ 
% 10.81/2.20               (f @ 
% 10.81/2.20                (apply @ (apply @ b @ X2) @ (apply @ (apply @ c @ X1) @ X0))) @ 
% 10.81/2.20               (apply @ X2 @ 
% 10.81/2.20                (apply @ 
% 10.81/2.20                 (apply @ X1 @ 
% 10.81/2.20                  (f @ 
% 10.81/2.20                   (apply @ (apply @ b @ X2) @ (apply @ (apply @ c @ X1) @ X0)))) @ 
% 10.81/2.20                 X0))))),
% 10.81/2.20      inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 10.81/2.20  thf(zip_derived_cl2, plain,
% 10.81/2.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 10.81/2.20         ((apply @ (apply @ (apply @ c @ X0) @ X2) @ X1)
% 10.81/2.20           = (apply @ (apply @ X0 @ X1) @ X2))),
% 10.81/2.20      inference('cnf', [status(esa)], [c_definition])).
% 10.81/2.20  thf(zip_derived_cl27, plain,
% 10.81/2.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 10.81/2.20         ((apply @ X2 @ 
% 10.81/2.20           (apply @ 
% 10.81/2.20            (apply @ X1 @ 
% 10.81/2.20             (f @ (apply @ (apply @ b @ X2) @ (apply @ (apply @ c @ X1) @ X0)))) @ 
% 10.81/2.20            X0))
% 10.81/2.20           != (apply @ 
% 10.81/2.20               (f @ 
% 10.81/2.20                (apply @ (apply @ b @ X2) @ (apply @ (apply @ c @ X1) @ X0))) @ 
% 10.81/2.20               (apply @ X2 @ 
% 10.81/2.20                (apply @ 
% 10.81/2.20                 (apply @ X1 @ 
% 10.81/2.20                  (f @ 
% 10.81/2.20                   (apply @ (apply @ b @ X2) @ (apply @ (apply @ c @ X1) @ X0)))) @ 
% 10.81/2.20                 X0))))),
% 10.81/2.20      inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl2])).
% 10.81/2.20  thf(zip_derived_cl3102, plain,
% 10.81/2.20      (![X0 : $i]:
% 10.81/2.20         ((apply @ X0 @ 
% 10.81/2.20           (apply @ 
% 10.81/2.20            (apply @ b @ 
% 10.81/2.20             (f @ (apply @ (apply @ b @ X0) @ (apply @ (apply @ c @ b) @ X0)))) @ 
% 10.81/2.20            X0))
% 10.81/2.20           != (apply @ m @ 
% 10.81/2.20               (apply @ 
% 10.81/2.20                (apply @ b @ 
% 10.81/2.20                 (f @ 
% 10.81/2.20                  (apply @ (apply @ b @ X0) @ (apply @ (apply @ c @ b) @ X0)))) @ 
% 10.81/2.20                X0)))),
% 10.81/2.20      inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl27])).
% 10.81/2.20  thf(zip_derived_cl3394, plain, ($false),
% 10.81/2.20      inference('eq_res', [status(thm)], [zip_derived_cl3102])).
% 10.81/2.20  
% 10.81/2.20  % SZS output end Refutation
% 10.81/2.20  
% 10.81/2.20  
% 10.81/2.20  % Terminating...
% 11.38/2.28  % Runner terminated.
% 11.38/2.29  % Zipperpin 1.5 exiting
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