TSTP Solution File: GRP032-3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP032-3 : 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.TcITdzblTs 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 : Thu Aug 31 01:49:37 EDT 2023

% Result   : Unsatisfiable 0.21s 0.74s
% 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  : GRP032-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TcITdzblTs true
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 23:55:58 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % 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
% 0.14/0.35  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % Solved by fo/fo6_bce.sh.
% 0.21/0.74  % BCE start: 11
% 0.21/0.74  % BCE eliminated: 0
% 0.21/0.74  % PE start: 11
% 0.21/0.74  logic: eq
% 0.21/0.74  % PE eliminated: 0
% 0.21/0.74  % done 10 iterations in 0.009s
% 0.21/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.74  % SZS output start Refutation
% 0.21/0.74  thf(inverse_type, type, inverse: $i > $i).
% 0.21/0.74  thf(product_type, type, product: $i > $i > $i > $o).
% 0.21/0.74  thf(identity_type, type, identity: $i).
% 0.21/0.74  thf(subgroup_member_type, type, subgroup_member: $i > $o).
% 0.21/0.74  thf(a_type, type, a: $i).
% 0.21/0.74  thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 0.21/0.74  thf(zip_derived_cl3, plain,
% 0.21/0.74      (![X0 : $i]:  (product @ X0 @ (inverse @ X0) @ identity)),
% 0.21/0.74      inference('cnf', [status(esa)], [right_inverse])).
% 0.21/0.74  thf(closure_of_product_and_inverse, axiom,
% 0.21/0.74    (( ~( subgroup_member @ A ) ) | ( ~( subgroup_member @ B ) ) | 
% 0.21/0.74     ( ~( product @ A @ ( inverse @ B ) @ C ) ) | ( subgroup_member @ C ))).
% 0.21/0.74  thf(zip_derived_cl8, plain,
% 0.21/0.74      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.74         (~ (subgroup_member @ X0)
% 0.21/0.74          | ~ (subgroup_member @ X1)
% 0.21/0.74          | ~ (product @ X0 @ (inverse @ X1) @ X2)
% 0.21/0.74          |  (subgroup_member @ X2))),
% 0.21/0.74      inference('cnf', [status(esa)], [closure_of_product_and_inverse])).
% 0.21/0.74  thf(zip_derived_cl64, plain,
% 0.21/0.74      (![X0 : $i]:
% 0.21/0.74         (~ (subgroup_member @ X0)
% 0.21/0.74          | ~ (subgroup_member @ X0)
% 0.21/0.74          |  (subgroup_member @ identity))),
% 0.21/0.74      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 0.21/0.74  thf(zip_derived_cl67, plain,
% 0.21/0.74      (![X0 : $i]: ( (subgroup_member @ identity) | ~ (subgroup_member @ X0))),
% 0.21/0.74      inference('simplify', [status(thm)], [zip_derived_cl64])).
% 0.21/0.74  thf(prove_identity_is_in_subgroup, conjecture, (subgroup_member @ identity)).
% 0.21/0.74  thf(zf_stmt_0, negated_conjecture, (~( subgroup_member @ identity )),
% 0.21/0.74    inference('cnf.neg', [status(esa)], [prove_identity_is_in_subgroup])).
% 0.21/0.74  thf(zip_derived_cl10, plain, (~ (subgroup_member @ identity)),
% 0.21/0.74      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.74  thf(zip_derived_cl70, plain, (![X0 : $i]: ~ (subgroup_member @ X0)),
% 0.21/0.74      inference('clc', [status(thm)], [zip_derived_cl67, zip_derived_cl10])).
% 0.21/0.74  thf(a_is_in_subgroup, axiom, (subgroup_member @ a)).
% 0.21/0.74  thf(zip_derived_cl9, plain, ( (subgroup_member @ a)),
% 0.21/0.74      inference('cnf', [status(esa)], [a_is_in_subgroup])).
% 0.21/0.74  thf(zip_derived_cl71, plain, ($false),
% 0.21/0.74      inference('s_sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl9])).
% 0.21/0.74  
% 0.21/0.74  % SZS output end Refutation
% 0.21/0.74  
% 0.21/0.74  
% 0.21/0.74  % Terminating...
% 0.21/0.76  % Runner terminated.
% 0.21/0.78  % Zipperpin 1.5 exiting
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