TSTP Solution File: CAT014-1 by Zipperpin---2.1.9999

View Problem - Process Solution

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% File     : Zipperpin---2.1.9999
% Problem  : CAT014-1 : 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.y1QbyVvD6o true

% Computer : n019.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 18:20:59 EDT 2023

% Result   : Unsatisfiable 0.22s 0.81s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : CAT014-1 : 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.y1QbyVvD6o true
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sun Aug 27 00:07:43 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.81  % Solved by fo/fo13.sh.
% 0.22/0.81  % done 27 iterations in 0.019s
% 0.22/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.81  % SZS output start Refutation
% 0.22/0.81  thf(codomain_type, type, codomain: $i > $i).
% 0.22/0.81  thf(identity_map_type, type, identity_map: $i > $o).
% 0.22/0.81  thf(defined_type, type, defined: $i > $i > $o).
% 0.22/0.81  thf(product_type, type, product: $i > $i > $i > $o).
% 0.22/0.81  thf(a_type, type, a: $i).
% 0.22/0.81  thf(prove_codomain_is_idempotent, conjecture,
% 0.22/0.81    (( codomain @ ( codomain @ a ) ) = ( codomain @ a ))).
% 0.22/0.81  thf(zf_stmt_0, negated_conjecture,
% 0.22/0.81    (( codomain @ ( codomain @ a ) ) != ( codomain @ a )),
% 0.22/0.81    inference('cnf.neg', [status(esa)], [prove_codomain_is_idempotent])).
% 0.22/0.81  thf(zip_derived_cl18, plain,
% 0.22/0.81      (((codomain @ (codomain @ a)) != (codomain @ a))),
% 0.22/0.81      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.22/0.81  thf(mapping_from_codomain_of_x_to_x, axiom, (defined @ ( codomain @ X ) @ X)).
% 0.22/0.81  thf(zip_derived_cl12, plain, (![X0 : $i]:  (defined @ (codomain @ X0) @ X0)),
% 0.22/0.81      inference('cnf', [status(esa)], [mapping_from_codomain_of_x_to_x])).
% 0.22/0.81  thf(identity2, axiom,
% 0.22/0.81    (( ~( defined @ X @ Y ) ) | ( ~( identity_map @ Y ) ) | 
% 0.22/0.81     ( product @ X @ Y @ X ))).
% 0.22/0.81  thf(zip_derived_cl16, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81         (~ (defined @ X0 @ X1)
% 0.22/0.81          | ~ (identity_map @ X1)
% 0.22/0.81          |  (product @ X0 @ X1 @ X0))),
% 0.22/0.81      inference('cnf', [status(esa)], [identity2])).
% 0.22/0.81  thf(zip_derived_cl34, plain,
% 0.22/0.81      (![X0 : $i]:
% 0.22/0.81         (~ (identity_map @ X0)
% 0.22/0.81          |  (product @ (codomain @ X0) @ X0 @ (codomain @ X0)))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl16])).
% 0.22/0.81  thf(product_on_codomain, axiom, (product @ ( codomain @ X ) @ X @ X)).
% 0.22/0.81  thf(zip_derived_cl14, plain,
% 0.22/0.81      (![X0 : $i]:  (product @ (codomain @ X0) @ X0 @ X0)),
% 0.22/0.81      inference('cnf', [status(esa)], [product_on_codomain])).
% 0.22/0.81  thf(composition_is_well_defined, axiom,
% 0.22/0.81    (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) | 
% 0.22/0.81     ( ( Z ) = ( W ) ))).
% 0.22/0.81  thf(zip_derived_cl17, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.22/0.81         (~ (product @ X0 @ X1 @ X2)
% 0.22/0.81          | ~ (product @ X0 @ X1 @ X3)
% 0.22/0.81          | ((X2) = (X3)))),
% 0.22/0.81      inference('cnf', [status(esa)], [composition_is_well_defined])).
% 0.22/0.81  thf(zip_derived_cl20, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81         (~ (product @ (codomain @ X0) @ X0 @ X1) | ((X0) = (X1)))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl17])).
% 0.22/0.81  thf(zip_derived_cl56, plain,
% 0.22/0.81      (![X0 : $i]: (~ (identity_map @ X0) | ((X0) = (codomain @ X0)))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl20])).
% 0.22/0.81  thf(codomain_is_an_identity_map, axiom, (identity_map @ ( codomain @ X ))).
% 0.22/0.81  thf(zip_derived_cl10, plain, (![X0 : $i]:  (identity_map @ (codomain @ X0))),
% 0.22/0.81      inference('cnf', [status(esa)], [codomain_is_an_identity_map])).
% 0.22/0.81  thf(zip_derived_cl58, plain,
% 0.22/0.81      (![X0 : $i]: ((codomain @ X0) = (codomain @ (codomain @ X0)))),
% 0.22/0.81      inference('s_sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl10])).
% 0.22/0.81  thf(zip_derived_cl61, plain, (((codomain @ a) != (codomain @ a))),
% 0.22/0.81      inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl58])).
% 0.22/0.81  thf(zip_derived_cl62, plain, ($false),
% 0.22/0.81      inference('simplify', [status(thm)], [zip_derived_cl61])).
% 0.22/0.81  
% 0.22/0.81  % SZS output end Refutation
% 0.22/0.81  
% 0.22/0.81  
% 0.22/0.81  % Terminating...
% 1.43/0.85  % Runner terminated.
% 1.43/0.86  % Zipperpin 1.5 exiting
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