TSTP Solution File: GRP011-4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP011-4 : 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.yOl6gjaYEp true

% Computer : n023.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 0.56s 0.72s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP011-4 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yOl6gjaYEp true
% 0.14/0.34  % Computer : n023.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 : Tue Aug 29 01:05:25 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
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.53/0.61  % Total configuration time : 435
% 0.53/0.61  % Estimated wc time : 1092
% 0.53/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72  % Solved by fo/fo3_bce.sh.
% 0.56/0.72  % BCE start: 5
% 0.56/0.72  % BCE eliminated: 0
% 0.56/0.72  % PE start: 5
% 0.56/0.72  logic: eq
% 0.56/0.72  % PE eliminated: 0
% 0.56/0.72  % done 28 iterations in 0.014s
% 0.56/0.72  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.72  % SZS output start Refutation
% 0.56/0.72  thf(identity_type, type, identity: $i).
% 0.56/0.72  thf(inverse_type, type, inverse: $i > $i).
% 0.56/0.72  thf(d_type, type, d: $i).
% 0.56/0.72  thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/0.72  thf(c_type, type, c: $i).
% 0.56/0.72  thf(b_type, type, b: $i).
% 0.56/0.72  thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.56/0.72  thf(zip_derived_cl2, plain,
% 0.56/0.72      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.72      inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.72  thf(zip_derived_cl2, plain,
% 0.56/0.72      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.72      inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.72  thf(associativity, axiom,
% 0.56/0.72    (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.56/0.72     ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.56/0.72  thf(zip_derived_cl0, plain,
% 0.56/0.72      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.72         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.72           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.72      inference('cnf', [status(esa)], [associativity])).
% 0.56/0.72  thf(zip_derived_cl8, plain,
% 0.56/0.72      (![X0 : $i, X1 : $i]:
% 0.56/0.72         ((multiply @ identity @ X0)
% 0.56/0.72           = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.72      inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.56/0.72  thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.56/0.72  thf(zip_derived_cl1, plain,
% 0.56/0.72      (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.72      inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.72  thf(zip_derived_cl11, plain,
% 0.56/0.72      (![X0 : $i, X1 : $i]:
% 0.56/0.72         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.72      inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.56/0.72  thf(zip_derived_cl18, plain,
% 0.56/0.72      (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/0.72      inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl11])).
% 0.56/0.72  thf(zip_derived_cl11, plain,
% 0.56/0.72      (![X0 : $i, X1 : $i]:
% 0.56/0.72         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.72      inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.56/0.72  thf(zip_derived_cl11, plain,
% 0.56/0.72      (![X0 : $i, X1 : $i]:
% 0.56/0.72         ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.72      inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.56/0.72  thf(zip_derived_cl15, plain,
% 0.56/0.72      (![X0 : $i, X1 : $i]:
% 0.56/0.72         ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.56/0.72      inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl11])).
% 0.56/0.72  thf(zip_derived_cl88, plain,
% 0.56/0.72      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.72      inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl15])).
% 0.56/0.72  thf(zip_derived_cl18, plain,
% 0.56/0.72      (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/0.72      inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl11])).
% 0.56/0.72  thf(zip_derived_cl102, plain,
% 0.56/0.72      (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/0.72      inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl18])).
% 0.56/0.72  thf(zip_derived_cl2, plain,
% 0.56/0.72      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.72      inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.72  thf(zip_derived_cl110, plain,
% 0.56/0.72      (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.56/0.72      inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl2])).
% 0.56/0.72  thf(product_equality, axiom, (( multiply @ b @ c ) = ( multiply @ d @ c ))).
% 0.56/0.72  thf(zip_derived_cl3, plain, (((multiply @ b @ c) = (multiply @ d @ c))),
% 0.56/0.72      inference('cnf', [status(esa)], [product_equality])).
% 0.56/0.72  thf(zip_derived_cl0, plain,
% 0.56/0.72      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.72         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.72           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.72      inference('cnf', [status(esa)], [associativity])).
% 0.56/0.72  thf(zip_derived_cl9, plain,
% 0.56/0.72      (![X0 : $i]:
% 0.56/0.72         ((multiply @ (multiply @ b @ c) @ X0)
% 0.56/0.72           = (multiply @ d @ (multiply @ c @ X0)))),
% 0.56/0.72      inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.56/0.72  thf(zip_derived_cl0, plain,
% 0.56/0.72      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.72         ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.72           = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.72      inference('cnf', [status(esa)], [associativity])).
% 0.56/0.72  thf(zip_derived_cl12, plain,
% 0.56/0.72      (![X0 : $i]:
% 0.56/0.72         ((multiply @ b @ (multiply @ c @ X0))
% 0.56/0.72           = (multiply @ d @ (multiply @ c @ X0)))),
% 0.56/0.72      inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 0.56/0.72  thf(zip_derived_cl130, plain,
% 0.56/0.72      (((multiply @ b @ (multiply @ c @ (inverse @ c)))
% 0.56/0.72         = (multiply @ d @ identity))),
% 0.56/0.72      inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl12])).
% 0.56/0.72  thf(zip_derived_cl110, plain,
% 0.56/0.72      (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.56/0.72      inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl2])).
% 0.56/0.72  thf(zip_derived_cl88, plain,
% 0.56/0.72      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.72      inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl15])).
% 0.56/0.72  thf(zip_derived_cl88, plain,
% 0.56/0.72      (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.72      inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl15])).
% 0.56/0.72  thf(zip_derived_cl135, plain, (((b) = (d))),
% 0.56/0.72      inference('demod', [status(thm)],
% 0.56/0.72                [zip_derived_cl130, zip_derived_cl110, zip_derived_cl88, 
% 0.56/0.72                 zip_derived_cl88])).
% 0.56/0.72  thf(prove_left_cancellation, conjecture, (( b ) = ( d ))).
% 0.56/0.72  thf(zf_stmt_0, negated_conjecture, (( b ) != ( d )),
% 0.56/0.72    inference('cnf.neg', [status(esa)], [prove_left_cancellation])).
% 0.56/0.72  thf(zip_derived_cl4, plain, (((b) != (d))),
% 0.56/0.72      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.72  thf(zip_derived_cl136, plain, ($false),
% 0.56/0.72      inference('simplify_reflect-', [status(thm)],
% 0.56/0.72                [zip_derived_cl135, zip_derived_cl4])).
% 0.56/0.72  
% 0.56/0.72  % SZS output end Refutation
% 0.56/0.72  
% 0.56/0.72  
% 0.56/0.72  % Terminating...
% 0.61/0.83  % Runner terminated.
% 0.61/0.84  % Zipperpin 1.5 exiting
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