TSTP Solution File: COL075-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COL075-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NYDCj211FD true

% Computer : n013.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 18:34:45 EDT 2023

% Result   : Unsatisfiable 4.36s 1.22s
% Output   : Refutation 4.36s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COL075-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NYDCj211FD true
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 04:50:02 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 4.36/1.22  % Solved by fo/fo13.sh.
% 4.36/1.22  % done 292 iterations in 0.457s
% 4.36/1.22  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.36/1.22  % SZS output start Refutation
% 4.36/1.22  thf(b_type, type, b: $i > $i).
% 4.36/1.22  thf(c_type, type, c: $i > $i).
% 4.36/1.22  thf(k_type, type, k: $i).
% 4.36/1.22  thf(apply_type, type, apply: $i > $i > $i).
% 4.36/1.22  thf(abstraction_type, type, abstraction: $i).
% 4.36/1.22  thf(abstraction, axiom,
% 4.36/1.22    (( apply @ ( apply @ ( apply @ abstraction @ X ) @ Y ) @ Z ) =
% 4.36/1.22     ( apply @ ( apply @ X @ ( apply @ k @ Z ) ) @ ( apply @ Y @ Z ) ))).
% 4.36/1.22  thf(zip_derived_cl5, plain,
% 4.36/1.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.36/1.22         ((apply @ (apply @ (apply @ abstraction @ X0) @ X2) @ X1)
% 4.36/1.22           = (apply @ (apply @ X0 @ (apply @ k @ X1)) @ (apply @ X2 @ X1)))),
% 4.36/1.22      inference('cnf', [status(esa)], [abstraction])).
% 4.36/1.22  thf(k_definition, axiom, (( apply @ ( apply @ k @ X ) @ Y ) = ( X ))).
% 4.36/1.22  thf(zip_derived_cl0, plain,
% 4.36/1.22      (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 4.36/1.22      inference('cnf', [status(esa)], [k_definition])).
% 4.36/1.22  thf(zip_derived_cl5, plain,
% 4.36/1.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.36/1.22         ((apply @ (apply @ (apply @ abstraction @ X0) @ X2) @ X1)
% 4.36/1.22           = (apply @ (apply @ X0 @ (apply @ k @ X1)) @ (apply @ X2 @ X1)))),
% 4.36/1.22      inference('cnf', [status(esa)], [abstraction])).
% 4.36/1.22  thf(zip_derived_cl64, plain,
% 4.36/1.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.36/1.22         ((apply @ (apply @ (apply @ abstraction @ X2) @ (apply @ k @ X0)) @ X1)
% 4.36/1.22           = (apply @ (apply @ X2 @ (apply @ k @ X1)) @ X0))),
% 4.36/1.22      inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 4.36/1.22  thf(zip_derived_cl2509, plain,
% 4.36/1.22      (![X0 : $i, X1 : $i]:
% 4.36/1.22         ((apply @ 
% 4.36/1.22           (apply @ (apply @ (apply @ abstraction @ abstraction) @ k) @ X0) @ 
% 4.36/1.22           X1) = (apply @ (apply @ (apply @ k @ X0) @ (apply @ k @ X1)) @ X0))),
% 4.36/1.22      inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl64])).
% 4.36/1.22  thf(zip_derived_cl0, plain,
% 4.36/1.22      (![X0 : $i, X1 : $i]: ((apply @ (apply @ k @ X0) @ X1) = (X0))),
% 4.36/1.22      inference('cnf', [status(esa)], [k_definition])).
% 4.36/1.22  thf(zip_derived_cl2512, plain,
% 4.36/1.22      (![X0 : $i, X1 : $i]:
% 4.36/1.22         ((apply @ 
% 4.36/1.22           (apply @ (apply @ (apply @ abstraction @ abstraction) @ k) @ X0) @ 
% 4.36/1.22           X1) = (apply @ X0 @ X0))),
% 4.36/1.22      inference('demod', [status(thm)], [zip_derived_cl2509, zip_derived_cl0])).
% 4.36/1.22  thf(prove_diagonal_combinator, conjecture,
% 4.36/1.22    (( apply @ ( apply @ Y @ ( b @ Y ) ) @ ( c @ Y ) ) =
% 4.36/1.22     ( apply @ ( b @ Y ) @ ( b @ Y ) ))).
% 4.36/1.22  thf(zf_stmt_0, negated_conjecture,
% 4.36/1.22    (( apply @ ( apply @ Y @ ( b @ Y ) ) @ ( c @ Y ) ) !=
% 4.36/1.22     ( apply @ ( b @ Y ) @ ( b @ Y ) )),
% 4.36/1.22    inference('cnf.neg', [status(esa)], [prove_diagonal_combinator])).
% 4.36/1.22  thf(zip_derived_cl10, plain,
% 4.36/1.22      (![X0 : $i]:
% 4.36/1.22         ((apply @ (apply @ X0 @ (b @ X0)) @ (c @ X0))
% 4.36/1.22           != (apply @ (b @ X0) @ (b @ X0)))),
% 4.36/1.22      inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.36/1.22  thf(zip_derived_cl2651, plain,
% 4.36/1.22      (((apply @ (b @ (apply @ (apply @ abstraction @ abstraction) @ k)) @ 
% 4.36/1.22         (b @ (apply @ (apply @ abstraction @ abstraction) @ k)))
% 4.36/1.22         != (apply @ (b @ (apply @ (apply @ abstraction @ abstraction) @ k)) @ 
% 4.36/1.22             (b @ (apply @ (apply @ abstraction @ abstraction) @ k))))),
% 4.36/1.22      inference('s_sup-', [status(thm)], [zip_derived_cl2512, zip_derived_cl10])).
% 4.36/1.22  thf(zip_derived_cl2669, plain, ($false),
% 4.36/1.22      inference('simplify', [status(thm)], [zip_derived_cl2651])).
% 4.36/1.22  
% 4.36/1.22  % SZS output end Refutation
% 4.36/1.22  
% 4.36/1.22  
% 4.36/1.22  % Terminating...
% 4.80/1.29  % Runner terminated.
% 4.80/1.30  % Zipperpin 1.5 exiting
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