TSTP Solution File: CAT011-4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CAT011-4 : 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.Bj6PpI7U4E true

% Computer : n010.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 18:20:57 EDT 2023

% Result   : Unsatisfiable 0.21s 0.68s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CAT011-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Bj6PpI7U4E true
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 00:04:20 EDT 2023
% 0.19/0.35  % CPUTime  : 
% 0.19/0.35  % Running portfolio for 300 s
% 0.19/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.21/0.58  % Total configuration time : 435
% 0.21/0.58  % Estimated wc time : 1092
% 0.21/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.65  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.67  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.68  % Solved by fo/fo6_bce.sh.
% 0.21/0.68  % BCE start: 13
% 0.21/0.68  % BCE eliminated: 1
% 0.21/0.68  % PE start: 12
% 0.21/0.68  logic: eq
% 0.21/0.68  % PE eliminated: 2
% 0.21/0.68  % done 14 iterations in 0.011s
% 0.21/0.68  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.68  % SZS output start Refutation
% 0.21/0.68  thf(compose_type, type, compose: $i > $i > $i).
% 0.21/0.68  thf(a_type, type, a: $i).
% 0.21/0.68  thf(domain_type, type, domain: $i > $i).
% 0.21/0.68  thf(there_exists_type, type, there_exists: $i > $o).
% 0.21/0.68  thf(codomain_type, type, codomain: $i > $i).
% 0.21/0.68  thf(compose_domain, axiom, (( compose @ X @ ( domain @ X ) ) = ( X ))).
% 0.21/0.68  thf(zip_derived_cl9, plain,
% 0.21/0.68      (![X0 : $i]: ((compose @ X0 @ (domain @ X0)) = (X0))),
% 0.21/0.68      inference('cnf', [status(esa)], [compose_domain])).
% 0.21/0.68  thf(domain_codomain_composition1, axiom,
% 0.21/0.68    (( ~( there_exists @ ( compose @ X @ Y ) ) ) | 
% 0.21/0.68     ( ( domain @ X ) = ( codomain @ Y ) ))).
% 0.21/0.68  thf(zip_derived_cl6, plain,
% 0.21/0.68      (![X0 : $i, X1 : $i]:
% 0.21/0.68         (~ (there_exists @ (compose @ X0 @ X1))
% 0.21/0.68          | ((domain @ X0) = (codomain @ X1)))),
% 0.21/0.68      inference('cnf', [status(esa)], [domain_codomain_composition1])).
% 0.21/0.68  thf(zip_derived_cl45, plain,
% 0.21/0.68      (![X0 : $i]:
% 0.21/0.68         (~ (there_exists @ X0) | ((domain @ X0) = (codomain @ (domain @ X0))))),
% 0.21/0.68      inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 0.21/0.68  thf(compose_codomain, axiom, (( compose @ ( codomain @ X ) @ X ) = ( X ))).
% 0.21/0.68  thf(zip_derived_cl10, plain,
% 0.21/0.68      (![X0 : $i]: ((compose @ (codomain @ X0) @ X0) = (X0))),
% 0.21/0.68      inference('cnf', [status(esa)], [compose_codomain])).
% 0.21/0.68  thf(zip_derived_cl6, plain,
% 0.21/0.68      (![X0 : $i, X1 : $i]:
% 0.21/0.68         (~ (there_exists @ (compose @ X0 @ X1))
% 0.21/0.68          | ((domain @ X0) = (codomain @ X1)))),
% 0.21/0.68      inference('cnf', [status(esa)], [domain_codomain_composition1])).
% 0.21/0.68  thf(zip_derived_cl49, plain,
% 0.21/0.68      (![X0 : $i]:
% 0.21/0.68         (~ (there_exists @ X0)
% 0.21/0.68          | ((domain @ (codomain @ X0)) = (codomain @ X0)))),
% 0.21/0.68      inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl6])).
% 0.21/0.68  thf(zip_derived_cl63, plain,
% 0.21/0.68      (![X0 : $i]:
% 0.21/0.68         (~ (there_exists @ X0)
% 0.21/0.68          | ~ (there_exists @ (domain @ X0))
% 0.21/0.68          | ((domain @ (domain @ X0)) = (domain @ X0)))),
% 0.21/0.68      inference('s_sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl49])).
% 0.21/0.68  thf(domain_has_elements, axiom,
% 0.21/0.68    (( ~( there_exists @ ( domain @ X ) ) ) | ( there_exists @ X ))).
% 0.21/0.68  thf(zip_derived_cl3, plain,
% 0.21/0.68      (![X0 : $i]: (~ (there_exists @ (domain @ X0)) |  (there_exists @ X0))),
% 0.21/0.68      inference('cnf', [status(esa)], [domain_has_elements])).
% 0.21/0.68  thf(zip_derived_cl65, plain,
% 0.21/0.68      (![X0 : $i]:
% 0.21/0.68         (((domain @ (domain @ X0)) = (domain @ X0))
% 0.21/0.68          | ~ (there_exists @ (domain @ X0)))),
% 0.21/0.68      inference('clc', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.21/0.68  thf(prove_domain_is_idempotent, conjecture,
% 0.21/0.68    (( domain @ ( domain @ a ) ) = ( domain @ a ))).
% 0.21/0.68  thf(zf_stmt_0, negated_conjecture,
% 0.21/0.68    (( domain @ ( domain @ a ) ) != ( domain @ a )),
% 0.21/0.68    inference('cnf.neg', [status(esa)], [prove_domain_is_idempotent])).
% 0.21/0.68  thf(zip_derived_cl12, plain, (((domain @ (domain @ a)) != (domain @ a))),
% 0.21/0.68      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.68  thf(zip_derived_cl71, plain,
% 0.21/0.68      ((~ (there_exists @ (domain @ a)) | ((domain @ a) != (domain @ a)))),
% 0.21/0.68      inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl12])).
% 0.21/0.68  thf(assume_domain_exists, axiom, (there_exists @ ( domain @ a ))).
% 0.21/0.68  thf(zip_derived_cl11, plain, ( (there_exists @ (domain @ a))),
% 0.21/0.68      inference('cnf', [status(esa)], [assume_domain_exists])).
% 0.21/0.68  thf(zip_derived_cl79, plain, (((domain @ a) != (domain @ a))),
% 0.21/0.68      inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl11])).
% 0.21/0.68  thf(zip_derived_cl80, plain, ($false),
% 0.21/0.68      inference('simplify', [status(thm)], [zip_derived_cl79])).
% 0.21/0.68  
% 0.21/0.68  % SZS output end Refutation
% 0.21/0.68  
% 0.21/0.68  
% 0.21/0.68  % Terminating...
% 1.33/0.79  % Runner terminated.
% 1.45/0.80  % Zipperpin 1.5 exiting
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