TSTP Solution File: COL002-2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COL002-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3pgk0zuCmV true

% Computer : n014.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 18:34:18 EDT 2023

% Result   : Unsatisfiable 1.32s 0.86s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COL002-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3pgk0zuCmV true
% 0.13/0.34  % Computer : n014.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 : Sun Aug 27 04:05:47 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.86  % Solved by fo/fo5.sh.
% 1.32/0.86  % done 17 iterations in 0.063s
% 1.32/0.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.32/0.86  % SZS output start Refutation
% 1.32/0.86  thf(b_type, type, b: $i).
% 1.32/0.86  thf(i_type, type, i: $i).
% 1.32/0.86  thf(s_type, type, s: $i).
% 1.32/0.86  thf(apply_type, type, apply: $i > $i > $i).
% 1.32/0.86  thf(fixed_point_type, type, fixed_point: $i > $o).
% 1.32/0.86  thf(fixed_pt_type, type, fixed_pt: $i).
% 1.32/0.86  thf(i_definition, axiom, (( apply @ i @ X ) = ( X ))).
% 1.32/0.86  thf(zip_derived_cl3, plain, (![X0 : $i]: ((apply @ i @ X0) = (X0))),
% 1.32/0.86      inference('cnf', [status(esa)], [i_definition])).
% 1.32/0.86  thf(s_definition, axiom,
% 1.32/0.86    (( apply @ ( apply @ ( apply @ s @ X ) @ Y ) @ Z ) =
% 1.32/0.86     ( apply @ ( apply @ X @ Z ) @ ( apply @ Y @ Z ) ))).
% 1.32/0.86  thf(zip_derived_cl0, plain,
% 1.32/0.86      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.86         ((apply @ (apply @ (apply @ s @ X0) @ X2) @ X1)
% 1.32/0.86           = (apply @ (apply @ X0 @ X1) @ (apply @ X2 @ X1)))),
% 1.32/0.86      inference('cnf', [status(esa)], [s_definition])).
% 1.32/0.86  thf(zip_derived_cl24, plain,
% 1.32/0.86      (![X0 : $i, X1 : $i]:
% 1.32/0.86         ((apply @ (apply @ (apply @ s @ X1) @ i) @ X0)
% 1.32/0.86           = (apply @ (apply @ X1 @ X0) @ X0))),
% 1.32/0.86      inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.32/0.86  thf(b_definition, axiom,
% 1.32/0.86    (( apply @ ( apply @ ( apply @ b @ X ) @ Y ) @ Z ) =
% 1.32/0.86     ( apply @ X @ ( apply @ Y @ Z ) ))).
% 1.32/0.86  thf(zip_derived_cl1, plain,
% 1.32/0.86      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.86         ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 1.32/0.86           = (apply @ X0 @ (apply @ X1 @ X2)))),
% 1.32/0.86      inference('cnf', [status(esa)], [b_definition])).
% 1.32/0.86  thf(zip_derived_cl34, plain,
% 1.32/0.86      (![X0 : $i, X1 : $i]:
% 1.32/0.86         ((apply @ (apply @ (apply @ s @ (apply @ b @ X1)) @ i) @ X0)
% 1.32/0.86           = (apply @ X1 @ (apply @ X0 @ X0)))),
% 1.32/0.86      inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 1.32/0.86  thf(weak_fixed_point, axiom,
% 1.32/0.86    (( ( Weak_sage ) != ( apply @ fixed_pt @ Weak_sage ) ) | 
% 1.32/0.86     ( fixed_point @ Weak_sage ))).
% 1.32/0.86  thf(zip_derived_cl4, plain,
% 1.32/0.86      (![X0 : $i]: (((X0) != (apply @ fixed_pt @ X0)) |  (fixed_point @ X0))),
% 1.32/0.86      inference('cnf', [status(esa)], [weak_fixed_point])).
% 1.32/0.86  thf(zip_derived_cl215, plain,
% 1.32/0.86      (![X0 : $i]:
% 1.32/0.86         (((apply @ X0 @ X0)
% 1.32/0.86            != (apply @ (apply @ (apply @ s @ (apply @ b @ fixed_pt)) @ i) @ X0))
% 1.32/0.86          |  (fixed_point @ (apply @ X0 @ X0)))),
% 1.32/0.86      inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl4])).
% 1.32/0.86  thf(zip_derived_cl250, plain,
% 1.32/0.86      ( (fixed_point @ 
% 1.32/0.86         (apply @ (apply @ (apply @ s @ (apply @ b @ fixed_pt)) @ i) @ 
% 1.32/0.86          (apply @ (apply @ s @ (apply @ b @ fixed_pt)) @ i)))),
% 1.32/0.86      inference('eq_res', [status(thm)], [zip_derived_cl215])).
% 1.32/0.86  thf(zip_derived_cl3, plain, (![X0 : $i]: ((apply @ i @ X0) = (X0))),
% 1.32/0.86      inference('cnf', [status(esa)], [i_definition])).
% 1.32/0.86  thf(zip_derived_cl24, plain,
% 1.32/0.86      (![X0 : $i, X1 : $i]:
% 1.32/0.86         ((apply @ (apply @ (apply @ s @ X1) @ i) @ X0)
% 1.32/0.86           = (apply @ (apply @ X1 @ X0) @ X0))),
% 1.32/0.86      inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.32/0.86  thf(zip_derived_cl49, plain,
% 1.32/0.86      (![X0 : $i]:
% 1.32/0.86         ((apply @ (apply @ (apply @ s @ i) @ i) @ X0) = (apply @ X0 @ X0))),
% 1.32/0.86      inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl24])).
% 1.32/0.86  thf(prove_weak_fixed_point, conjecture,
% 1.32/0.86    (fixed_point @
% 1.32/0.86     ( apply @
% 1.32/0.86       ( apply @ ( apply @ s @ ( apply @ b @ X ) ) @ i ) @ 
% 1.32/0.86       ( apply @ ( apply @ s @ ( apply @ b @ X ) ) @ i ) ))).
% 1.32/0.86  thf(zf_stmt_0, negated_conjecture,
% 1.32/0.86    (~( fixed_point @
% 1.32/0.86        ( apply @
% 1.32/0.86          ( apply @ ( apply @ s @ ( apply @ b @ X ) ) @ i ) @ 
% 1.32/0.86          ( apply @ ( apply @ s @ ( apply @ b @ X ) ) @ i ) ) )),
% 1.32/0.86    inference('cnf.neg', [status(esa)], [prove_weak_fixed_point])).
% 1.32/0.86  thf(zip_derived_cl5, plain,
% 1.32/0.86      (![X0 : $i]:
% 1.32/0.86         ~ (fixed_point @ 
% 1.32/0.86            (apply @ (apply @ (apply @ s @ (apply @ b @ X0)) @ i) @ 
% 1.32/0.86             (apply @ (apply @ s @ (apply @ b @ X0)) @ i)))),
% 1.32/0.86      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.32/0.86  thf(zip_derived_cl49, plain,
% 1.32/0.86      (![X0 : $i]:
% 1.32/0.86         ((apply @ (apply @ (apply @ s @ i) @ i) @ X0) = (apply @ X0 @ X0))),
% 1.32/0.86      inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl24])).
% 1.32/0.86  thf(zip_derived_cl51, plain,
% 1.32/0.86      (![X0 : $i]:
% 1.32/0.86         ~ (fixed_point @ 
% 1.32/0.86            (apply @ (apply @ (apply @ s @ i) @ i) @ 
% 1.32/0.86             (apply @ (apply @ s @ (apply @ b @ X0)) @ i)))),
% 1.32/0.86      inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl49])).
% 1.32/0.86  thf(zip_derived_cl251, plain, ($false),
% 1.32/0.86      inference('demod', [status(thm)],
% 1.32/0.86                [zip_derived_cl250, zip_derived_cl49, zip_derived_cl51])).
% 1.32/0.86  
% 1.32/0.86  % SZS output end Refutation
% 1.32/0.86  
% 1.32/0.86  
% 1.32/0.86  % Terminating...
% 1.76/0.95  % Runner terminated.
% 1.76/0.97  % Zipperpin 1.5 exiting
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