TSTP Solution File: GRP022-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP022-1 : 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.HJuDcDZbfu true

% Computer : n032.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 01:49:32 EDT 2023

% Result   : Unsatisfiable 1.03s 0.64s
% Output   : Refutation 1.03s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : GRP022-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HJuDcDZbfu true
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 300
% 0.11/0.30  % DateTime : Mon Aug 28 23:11:31 EDT 2023
% 0.11/0.30  % CPUTime  : 
% 0.11/0.30  % Running portfolio for 300 s
% 0.11/0.30  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.30  % Number of cores: 8
% 0.11/0.30  % Python version: Python 3.6.8
% 0.11/0.30  % Running in FO mode
% 0.15/0.55  % Total configuration time : 435
% 0.15/0.55  % Estimated wc time : 1092
% 0.15/0.55  % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.62  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.63  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.03/0.64  % Solved by fo/fo3_bce.sh.
% 1.03/0.64  % BCE start: 9
% 1.03/0.64  % BCE eliminated: 0
% 1.03/0.64  % PE start: 9
% 1.03/0.64  logic: eq
% 1.03/0.64  % PE eliminated: 0
% 1.03/0.64  % done 73 iterations in 0.026s
% 1.03/0.64  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.03/0.64  % SZS output start Refutation
% 1.03/0.64  thf(inverse_type, type, inverse: $i > $i).
% 1.03/0.64  thf(product_type, type, product: $i > $i > $i > $o).
% 1.03/0.64  thf(identity_type, type, identity: $i).
% 1.03/0.64  thf(a_type, type, a: $i).
% 1.03/0.64  thf(prove_inverse_of_inverse_is_original, conjecture,
% 1.03/0.64    (( inverse @ ( inverse @ a ) ) = ( a ))).
% 1.03/0.64  thf(zf_stmt_0, negated_conjecture, (( inverse @ ( inverse @ a ) ) != ( a )),
% 1.03/0.64    inference('cnf.neg', [status(esa)], [prove_inverse_of_inverse_is_original])).
% 1.03/0.64  thf(zip_derived_cl8, plain, (((inverse @ (inverse @ a)) != (a))),
% 1.03/0.64      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.03/0.64  thf(left_identity, axiom, (product @ identity @ X @ X)).
% 1.03/0.64  thf(zip_derived_cl0, plain, (![X0 : $i]:  (product @ identity @ X0 @ X0)),
% 1.03/0.64      inference('cnf', [status(esa)], [left_identity])).
% 1.03/0.64  thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 1.03/0.64  thf(zip_derived_cl3, plain,
% 1.03/0.64      (![X0 : $i]:  (product @ X0 @ (inverse @ X0) @ identity)),
% 1.03/0.64      inference('cnf', [status(esa)], [right_inverse])).
% 1.03/0.64  thf(zip_derived_cl3, plain,
% 1.03/0.64      (![X0 : $i]:  (product @ X0 @ (inverse @ X0) @ identity)),
% 1.03/0.64      inference('cnf', [status(esa)], [right_inverse])).
% 1.03/0.64  thf(associativity1, axiom,
% 1.03/0.64    (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) | 
% 1.03/0.64     ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 1.03/0.64  thf(zip_derived_cl6, plain,
% 1.03/0.64      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.03/0.64         (~ (product @ X0 @ X1 @ X2)
% 1.03/0.64          | ~ (product @ X1 @ X3 @ X4)
% 1.03/0.64          | ~ (product @ X2 @ X3 @ X5)
% 1.03/0.64          |  (product @ X0 @ X4 @ X5))),
% 1.03/0.64      inference('cnf', [status(esa)], [associativity1])).
% 1.03/0.64  thf(zip_derived_cl47, plain,
% 1.03/0.64      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.03/0.64         ( (product @ X0 @ X2 @ X1)
% 1.03/0.64          | ~ (product @ identity @ X3 @ X1)
% 1.03/0.64          | ~ (product @ (inverse @ X0) @ X3 @ X2))),
% 1.03/0.64      inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 1.03/0.64  thf(zip_derived_cl145, plain,
% 1.03/0.64      (![X0 : $i, X1 : $i]:
% 1.03/0.64         (~ (product @ identity @ (inverse @ (inverse @ X0)) @ X1)
% 1.03/0.64          |  (product @ X0 @ identity @ X1))),
% 1.03/0.64      inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl47])).
% 1.03/0.64  thf(zip_derived_cl160, plain,
% 1.03/0.64      (![X0 : $i]:  (product @ X0 @ identity @ (inverse @ (inverse @ X0)))),
% 1.03/0.64      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl145])).
% 1.03/0.64  thf(right_identity, axiom, (product @ X @ identity @ X)).
% 1.03/0.64  thf(zip_derived_cl1, plain, (![X0 : $i]:  (product @ X0 @ identity @ X0)),
% 1.03/0.64      inference('cnf', [status(esa)], [right_identity])).
% 1.03/0.64  thf(total_function2, axiom,
% 1.03/0.64    (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) | 
% 1.03/0.64     ( ( Z ) = ( W ) ))).
% 1.03/0.64  thf(zip_derived_cl5, plain,
% 1.03/0.64      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.03/0.64         (~ (product @ X0 @ X1 @ X2)
% 1.03/0.64          | ~ (product @ X0 @ X1 @ X3)
% 1.03/0.64          | ((X2) = (X3)))),
% 1.03/0.64      inference('cnf', [status(esa)], [total_function2])).
% 1.03/0.64  thf(zip_derived_cl40, plain,
% 1.03/0.64      (![X0 : $i, X1 : $i]: (((X0) = (X1)) | ~ (product @ X0 @ identity @ X1))),
% 1.03/0.64      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 1.03/0.64  thf(zip_derived_cl177, plain,
% 1.03/0.64      (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.03/0.64      inference('sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl40])).
% 1.03/0.64  thf(zip_derived_cl202, plain, (((a) != (a))),
% 1.03/0.64      inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl177])).
% 1.03/0.64  thf(zip_derived_cl203, plain, ($false),
% 1.03/0.64      inference('simplify', [status(thm)], [zip_derived_cl202])).
% 1.03/0.64  
% 1.03/0.64  % SZS output end Refutation
% 1.03/0.64  
% 1.03/0.64  
% 1.03/0.64  % Terminating...
% 1.30/0.74  % Runner terminated.
% 1.30/0.75  % Zipperpin 1.5 exiting
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