TSTP Solution File: GRP010-4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP010-4 : 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.aZQoJ8COPY true

% Computer : n006.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 01:49:29 EDT 2023

% Result   : Unsatisfiable 0.21s 0.73s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aZQoJ8COPY true
% 0.14/0.34  % Computer : n006.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 20:04:21 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/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
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % Solved by fo/fo6_bce.sh.
% 0.21/0.73  % BCE start: 5
% 0.21/0.73  % BCE eliminated: 0
% 0.21/0.73  % PE start: 5
% 0.21/0.73  logic: eq
% 0.21/0.73  % PE eliminated: 0
% 0.21/0.73  % done 9 iterations in 0.009s
% 0.21/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.73  % SZS output start Refutation
% 0.21/0.73  thf(identity_type, type, identity: $i).
% 0.21/0.73  thf(inverse_type, type, inverse: $i > $i).
% 0.21/0.73  thf(multiply_type, type, multiply: $i > $i > $i).
% 0.21/0.73  thf(b_type, type, b: $i).
% 0.21/0.73  thf(c_type, type, c: $i).
% 0.21/0.73  thf(c_times_b_is_e, axiom, (( multiply @ c @ b ) = ( identity ))).
% 0.21/0.73  thf(zip_derived_cl3, plain, (((multiply @ c @ b) = (identity))),
% 0.21/0.73      inference('cnf', [status(esa)], [c_times_b_is_e])).
% 0.21/0.73  thf(associativity, axiom,
% 0.21/0.73    (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.21/0.73     ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.21/0.73  thf(zip_derived_cl0, plain,
% 0.21/0.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.73         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.21/0.73           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.21/0.73      inference('cnf', [status(esa)], [associativity])).
% 0.21/0.73  thf(zip_derived_cl8, plain,
% 0.21/0.73      (![X0 : $i]:
% 0.21/0.73         ((multiply @ identity @ X0) = (multiply @ c @ (multiply @ b @ X0)))),
% 0.21/0.73      inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.21/0.73  thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.21/0.73  thf(zip_derived_cl1, plain,
% 0.21/0.73      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.21/0.73      inference('cnf', [status(esa)], [left_identity])).
% 0.21/0.73  thf(zip_derived_cl10, plain,
% 0.21/0.73      (![X0 : $i]: ((X0) = (multiply @ c @ (multiply @ b @ X0)))),
% 0.21/0.73      inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.21/0.73  thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.21/0.73  thf(zip_derived_cl2, plain,
% 0.21/0.73      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.21/0.73      inference('cnf', [status(esa)], [left_inverse])).
% 0.21/0.73  thf(zip_derived_cl0, plain,
% 0.21/0.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.73         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.21/0.73           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.21/0.73      inference('cnf', [status(esa)], [associativity])).
% 0.21/0.73  thf(zip_derived_cl14, plain,
% 0.21/0.73      (![X0 : $i, X1 : $i]:
% 0.21/0.73         ((multiply @ identity @ X0)
% 0.21/0.73           = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.21/0.73      inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.21/0.73  thf(zip_derived_cl1, plain,
% 0.21/0.73      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.21/0.73      inference('cnf', [status(esa)], [left_identity])).
% 0.21/0.73  thf(zip_derived_cl15, plain,
% 0.21/0.73      (![X0 : $i, X1 : $i]:
% 0.21/0.73         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.21/0.73      inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 0.21/0.73  thf(zip_derived_cl22, plain,
% 0.21/0.73      (![X0 : $i]: ((multiply @ b @ X0) = (multiply @ (inverse @ c) @ X0))),
% 0.21/0.73      inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl15])).
% 0.21/0.73  thf(zip_derived_cl2, plain,
% 0.21/0.73      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.21/0.73      inference('cnf', [status(esa)], [left_inverse])).
% 0.21/0.73  thf(zip_derived_cl32, plain, (((multiply @ b @ c) = (identity))),
% 0.21/0.73      inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl2])).
% 0.21/0.73  thf(prove_b_times_c_is_e, conjecture, (( multiply @ b @ c ) = ( identity ))).
% 0.21/0.73  thf(zf_stmt_0, negated_conjecture, (( multiply @ b @ c ) != ( identity )),
% 0.21/0.73    inference('cnf.neg', [status(esa)], [prove_b_times_c_is_e])).
% 0.21/0.73  thf(zip_derived_cl4, plain, (((multiply @ b @ c) != (identity))),
% 0.21/0.73      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.73  thf(zip_derived_cl35, plain, ($false),
% 0.21/0.73      inference('simplify_reflect-', [status(thm)],
% 0.21/0.73                [zip_derived_cl32, zip_derived_cl4])).
% 0.21/0.73  
% 0.21/0.73  % SZS output end Refutation
% 0.21/0.73  
% 0.21/0.73  
% 0.21/0.74  % Terminating...
% 1.33/0.85  % Runner terminated.
% 1.33/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------