TSTP Solution File: BOO012-2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : BOO012-2 : 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.MbCgupIdvP true

% Computer : n009.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 18:13:17 EDT 2023

% Result   : Unsatisfiable 0.51s 0.74s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : BOO012-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MbCgupIdvP true
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sun Aug 27 07:41:20 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.49/0.61  % Total configuration time : 435
% 0.49/0.61  % Estimated wc time : 1092
% 0.49/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.74  % Solved by fo/fo6_bce.sh.
% 0.51/0.74  % BCE start: 15
% 0.51/0.74  % BCE eliminated: 0
% 0.51/0.74  % PE start: 15
% 0.51/0.74  logic: eq
% 0.51/0.74  % PE eliminated: 0
% 0.51/0.74  % done 67 iterations in 0.072s
% 0.51/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.74  % SZS output start Refutation
% 0.51/0.74  thf(multiply_type, type, multiply: $i > $i > $i).
% 0.51/0.74  thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 0.51/0.74  thf(x_type, type, x: $i).
% 0.51/0.74  thf(add_type, type, add: $i > $i > $i).
% 0.51/0.74  thf(inverse_type, type, inverse: $i > $i).
% 0.51/0.74  thf(additive_identity_type, type, additive_identity: $i).
% 0.51/0.74  thf(prove_inverse_is_an_involution, conjecture,
% 0.51/0.74    (( inverse @ ( inverse @ x ) ) = ( x ))).
% 0.51/0.74  thf(zf_stmt_0, negated_conjecture, (( inverse @ ( inverse @ x ) ) != ( x )),
% 0.51/0.74    inference('cnf.neg', [status(esa)], [prove_inverse_is_an_involution])).
% 0.51/0.74  thf(zip_derived_cl14, plain, (((inverse @ (inverse @ x)) != (x))),
% 0.51/0.74      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.74  thf(multiplicative_inverse1, axiom,
% 0.51/0.74    (( multiply @ X @ ( inverse @ X ) ) = ( additive_identity ))).
% 0.51/0.74  thf(zip_derived_cl8, plain,
% 0.51/0.74      (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 0.51/0.74      inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 0.51/0.74  thf(additive_inverse1, axiom,
% 0.51/0.74    (( add @ X @ ( inverse @ X ) ) = ( multiplicative_identity ))).
% 0.51/0.74  thf(zip_derived_cl6, plain,
% 0.51/0.74      (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (multiplicative_identity))),
% 0.51/0.74      inference('cnf', [status(esa)], [additive_inverse1])).
% 0.51/0.74  thf(distributivity1, axiom,
% 0.51/0.74    (( add @ ( multiply @ X @ Y ) @ Z ) =
% 0.51/0.74     ( multiply @ ( add @ X @ Z ) @ ( add @ Y @ Z ) ))).
% 0.51/0.74  thf(zip_derived_cl2, plain,
% 0.51/0.74      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.74         ((add @ (multiply @ X0 @ X2) @ X1)
% 0.51/0.74           = (multiply @ (add @ X0 @ X1) @ (add @ X2 @ X1)))),
% 0.51/0.74      inference('cnf', [status(esa)], [distributivity1])).
% 0.51/0.74  thf(zip_derived_cl29, plain,
% 0.51/0.74      (![X0 : $i, X1 : $i]:
% 0.51/0.74         ((add @ (multiply @ X1 @ X0) @ (inverse @ X0))
% 0.51/0.74           = (multiply @ (add @ X1 @ (inverse @ X0)) @ multiplicative_identity))),
% 0.51/0.74      inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 0.51/0.74  thf(multiplicative_id1, axiom,
% 0.51/0.74    (( multiply @ X @ multiplicative_identity ) = ( X ))).
% 0.51/0.74  thf(zip_derived_cl10, plain,
% 0.51/0.74      (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 0.51/0.74      inference('cnf', [status(esa)], [multiplicative_id1])).
% 0.51/0.74  thf(zip_derived_cl37, plain,
% 0.51/0.74      (![X0 : $i, X1 : $i]:
% 0.51/0.74         ((add @ (multiply @ X1 @ X0) @ (inverse @ X0))
% 0.51/0.74           = (add @ X1 @ (inverse @ X0)))),
% 0.51/0.74      inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl10])).
% 0.51/0.74  thf(zip_derived_cl501, plain,
% 0.51/0.74      (![X0 : $i]:
% 0.51/0.74         ((add @ additive_identity @ (inverse @ (inverse @ X0)))
% 0.51/0.74           = (add @ X0 @ (inverse @ (inverse @ X0))))),
% 0.51/0.74      inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl37])).
% 0.51/0.74  thf(additive_id2, axiom, (( add @ additive_identity @ X ) = ( X ))).
% 0.51/0.74  thf(zip_derived_cl13, plain,
% 0.51/0.74      (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 0.51/0.74      inference('cnf', [status(esa)], [additive_id2])).
% 0.51/0.74  thf(multiplicative_inverse2, axiom,
% 0.51/0.74    (( multiply @ ( inverse @ X ) @ X ) = ( additive_identity ))).
% 0.51/0.74  thf(zip_derived_cl9, plain,
% 0.51/0.74      (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (additive_identity))),
% 0.51/0.74      inference('cnf', [status(esa)], [multiplicative_inverse2])).
% 0.51/0.74  thf(zip_derived_cl6, plain,
% 0.51/0.74      (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (multiplicative_identity))),
% 0.51/0.74      inference('cnf', [status(esa)], [additive_inverse1])).
% 0.51/0.74  thf(distributivity2, axiom,
% 0.51/0.74    (( add @ X @ ( multiply @ Y @ Z ) ) =
% 0.51/0.74     ( multiply @ ( add @ X @ Y ) @ ( add @ X @ Z ) ))).
% 0.51/0.74  thf(zip_derived_cl3, plain,
% 0.51/0.74      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.74         ((add @ X0 @ (multiply @ X1 @ X2))
% 0.51/0.74           = (multiply @ (add @ X0 @ X1) @ (add @ X0 @ X2)))),
% 0.51/0.74      inference('cnf', [status(esa)], [distributivity2])).
% 0.51/0.74  thf(zip_derived_cl46, plain,
% 0.51/0.74      (![X0 : $i, X1 : $i]:
% 0.51/0.74         ((add @ X0 @ (multiply @ X1 @ (inverse @ X0)))
% 0.51/0.74           = (multiply @ (add @ X0 @ X1) @ multiplicative_identity))),
% 0.51/0.74      inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 0.51/0.74  thf(zip_derived_cl10, plain,
% 0.51/0.74      (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 0.51/0.74      inference('cnf', [status(esa)], [multiplicative_id1])).
% 0.51/0.74  thf(zip_derived_cl54, plain,
% 0.51/0.74      (![X0 : $i, X1 : $i]:
% 0.51/0.74         ((add @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (add @ X0 @ X1))),
% 0.51/0.74      inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl10])).
% 0.51/0.74  thf(zip_derived_cl211, plain,
% 0.51/0.74      (![X0 : $i]:
% 0.51/0.74         ((add @ X0 @ additive_identity)
% 0.51/0.74           = (add @ X0 @ (inverse @ (inverse @ X0))))),
% 0.51/0.74      inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl54])).
% 0.51/0.74  thf(additive_id1, axiom, (( add @ X @ additive_identity ) = ( X ))).
% 0.51/0.74  thf(zip_derived_cl12, plain,
% 0.51/0.74      (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 0.51/0.74      inference('cnf', [status(esa)], [additive_id1])).
% 0.51/0.74  thf(zip_derived_cl216, plain,
% 0.51/0.74      (![X0 : $i]: ((X0) = (add @ X0 @ (inverse @ (inverse @ X0))))),
% 0.51/0.74      inference('demod', [status(thm)], [zip_derived_cl211, zip_derived_cl12])).
% 0.51/0.74  thf(zip_derived_cl515, plain,
% 0.51/0.74      (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.51/0.74      inference('demod', [status(thm)],
% 0.51/0.74                [zip_derived_cl501, zip_derived_cl13, zip_derived_cl216])).
% 0.51/0.74  thf(zip_derived_cl527, plain, (((x) != (x))),
% 0.51/0.74      inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl515])).
% 0.51/0.74  thf(zip_derived_cl528, plain, ($false),
% 0.51/0.74      inference('simplify', [status(thm)], [zip_derived_cl527])).
% 0.51/0.74  
% 0.51/0.74  % SZS output end Refutation
% 0.51/0.74  
% 0.51/0.74  
% 0.51/0.74  % Terminating...
% 1.55/0.87  % Runner terminated.
% 1.55/0.88  % Zipperpin 1.5 exiting
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