TSTP Solution File: BOO003-4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : BOO003-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1XFLUpNf9Y true

% Computer : n005.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 18:13:11 EDT 2023

% Result   : Unsatisfiable 1.36s 0.79s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : BOO003-4 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1XFLUpNf9Y true
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 08:03:38 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.07/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.07/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.34/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.34/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.79  % Solved by fo/fo3_bce.sh.
% 1.36/0.79  % BCE start: 9
% 1.36/0.79  % BCE eliminated: 0
% 1.36/0.79  % PE start: 9
% 1.36/0.79  logic: eq
% 1.36/0.79  % PE eliminated: 0
% 1.36/0.79  % done 33 iterations in 0.030s
% 1.36/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.79  % SZS output start Refutation
% 1.36/0.79  thf(multiply_type, type, multiply: $i > $i > $i).
% 1.36/0.79  thf(add_type, type, add: $i > $i > $i).
% 1.36/0.79  thf(inverse_type, type, inverse: $i > $i).
% 1.36/0.79  thf(a_type, type, a: $i).
% 1.36/0.79  thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 1.36/0.79  thf(additive_identity_type, type, additive_identity: $i).
% 1.36/0.79  thf(prove_a_times_a_is_a, conjecture, (( multiply @ a @ a ) = ( a ))).
% 1.36/0.79  thf(zf_stmt_0, negated_conjecture, (( multiply @ a @ a ) != ( a )),
% 1.36/0.79    inference('cnf.neg', [status(esa)], [prove_a_times_a_is_a])).
% 1.36/0.79  thf(zip_derived_cl8, plain, (((multiply @ a @ a) != (a))),
% 1.36/0.79      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.36/0.79  thf(additive_id1, axiom, (( add @ X @ additive_identity ) = ( X ))).
% 1.36/0.79  thf(zip_derived_cl4, plain,
% 1.36/0.79      (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 1.36/0.79      inference('cnf', [status(esa)], [additive_id1])).
% 1.36/0.79  thf(zip_derived_cl4, plain,
% 1.36/0.79      (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 1.36/0.79      inference('cnf', [status(esa)], [additive_id1])).
% 1.36/0.79  thf(distributivity1, axiom,
% 1.36/0.79    (( add @ X @ ( multiply @ Y @ Z ) ) =
% 1.36/0.79     ( multiply @ ( add @ X @ Y ) @ ( add @ X @ Z ) ))).
% 1.36/0.79  thf(zip_derived_cl2, plain,
% 1.36/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.79         ((add @ X0 @ (multiply @ X1 @ X2))
% 1.36/0.79           = (multiply @ (add @ X0 @ X1) @ (add @ X0 @ X2)))),
% 1.36/0.79      inference('cnf', [status(esa)], [distributivity1])).
% 1.36/0.79  thf(zip_derived_cl36, plain,
% 1.36/0.79      (![X0 : $i, X1 : $i]:
% 1.36/0.79         ((add @ X0 @ (multiply @ additive_identity @ X1))
% 1.36/0.79           = (multiply @ X0 @ (add @ X0 @ X1)))),
% 1.36/0.79      inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.36/0.79  thf(zip_derived_cl71, plain,
% 1.36/0.79      (![X0 : $i]:
% 1.36/0.79         ((add @ X0 @ (multiply @ additive_identity @ additive_identity))
% 1.36/0.79           = (multiply @ X0 @ X0))),
% 1.36/0.79      inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl36])).
% 1.36/0.79  thf(zip_derived_cl84, plain,
% 1.36/0.79      (((add @ a @ (multiply @ additive_identity @ additive_identity)) != (a))),
% 1.36/0.79      inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl71])).
% 1.36/0.79  thf(multiplicative_inverse1, axiom,
% 1.36/0.79    (( multiply @ X @ ( inverse @ X ) ) = ( additive_identity ))).
% 1.36/0.79  thf(zip_derived_cl7, plain,
% 1.36/0.79      (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 1.36/0.79      inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 1.36/0.79  thf(zip_derived_cl36, plain,
% 1.36/0.79      (![X0 : $i, X1 : $i]:
% 1.36/0.79         ((add @ X0 @ (multiply @ additive_identity @ X1))
% 1.36/0.79           = (multiply @ X0 @ (add @ X0 @ X1)))),
% 1.36/0.79      inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.36/0.79  thf(zip_derived_cl67, plain,
% 1.36/0.79      (![X0 : $i]:
% 1.36/0.79         ((add @ X0 @ additive_identity)
% 1.36/0.79           = (multiply @ X0 @ (add @ X0 @ (inverse @ additive_identity))))),
% 1.36/0.79      inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl36])).
% 1.36/0.79  thf(zip_derived_cl4, plain,
% 1.36/0.79      (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 1.36/0.79      inference('cnf', [status(esa)], [additive_id1])).
% 1.36/0.79  thf(zip_derived_cl4, plain,
% 1.36/0.79      (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 1.36/0.79      inference('cnf', [status(esa)], [additive_id1])).
% 1.36/0.79  thf(commutativity_of_add, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 1.36/0.79  thf(zip_derived_cl0, plain,
% 1.36/0.79      (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 1.36/0.79      inference('cnf', [status(esa)], [commutativity_of_add])).
% 1.36/0.79  thf(zip_derived_cl15, plain,
% 1.36/0.79      (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 1.36/0.79      inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.36/0.79  thf(additive_inverse1, axiom,
% 1.36/0.79    (( add @ X @ ( inverse @ X ) ) = ( multiplicative_identity ))).
% 1.36/0.79  thf(zip_derived_cl6, plain,
% 1.36/0.79      (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (multiplicative_identity))),
% 1.36/0.79      inference('cnf', [status(esa)], [additive_inverse1])).
% 1.36/0.79  thf(zip_derived_cl48, plain,
% 1.36/0.79      (((inverse @ additive_identity) = (multiplicative_identity))),
% 1.36/0.79      inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl6])).
% 1.36/0.79  thf(distributivity2, axiom,
% 1.36/0.79    (( multiply @ X @ ( add @ Y @ Z ) ) =
% 1.36/0.79     ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 1.36/0.79  thf(zip_derived_cl3, plain,
% 1.36/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.79         ((multiply @ X0 @ (add @ X1 @ X2))
% 1.36/0.79           = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 1.36/0.79      inference('cnf', [status(esa)], [distributivity2])).
% 1.36/0.79  thf(multiplicative_id1, axiom,
% 1.36/0.79    (( multiply @ X @ multiplicative_identity ) = ( X ))).
% 1.36/0.79  thf(zip_derived_cl5, plain,
% 1.36/0.79      (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 1.36/0.79      inference('cnf', [status(esa)], [multiplicative_id1])).
% 1.36/0.79  thf(zip_derived_cl0, plain,
% 1.36/0.79      (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 1.36/0.79      inference('cnf', [status(esa)], [commutativity_of_add])).
% 1.36/0.79  thf(zip_derived_cl76, plain,
% 1.36/0.79      (![X0 : $i]: ((X0) = (add @ X0 @ (multiply @ X0 @ X0)))),
% 1.36/0.79      inference('demod', [status(thm)],
% 1.36/0.79                [zip_derived_cl67, zip_derived_cl4, zip_derived_cl48, 
% 1.36/0.79                 zip_derived_cl3, zip_derived_cl5, zip_derived_cl0])).
% 1.36/0.79  thf(zip_derived_cl71, plain,
% 1.36/0.79      (![X0 : $i]:
% 1.36/0.79         ((add @ X0 @ (multiply @ additive_identity @ additive_identity))
% 1.36/0.79           = (multiply @ X0 @ X0))),
% 1.36/0.79      inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl36])).
% 1.36/0.79  thf(zip_derived_cl149, plain,
% 1.36/0.79      (((additive_identity)
% 1.36/0.79         = (multiply @ additive_identity @ additive_identity))),
% 1.36/0.79      inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl71])).
% 1.36/0.79  thf(zip_derived_cl4, plain,
% 1.36/0.79      (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 1.36/0.79      inference('cnf', [status(esa)], [additive_id1])).
% 1.36/0.79  thf(zip_derived_cl163, plain, (((a) != (a))),
% 1.36/0.79      inference('demod', [status(thm)],
% 1.36/0.79                [zip_derived_cl84, zip_derived_cl149, zip_derived_cl4])).
% 1.36/0.79  thf(zip_derived_cl164, plain, ($false),
% 1.36/0.79      inference('simplify', [status(thm)], [zip_derived_cl163])).
% 1.36/0.79  
% 1.36/0.79  % SZS output end Refutation
% 1.36/0.79  
% 1.36/0.79  
% 1.36/0.79  % Terminating...
% 1.57/0.86  % Runner terminated.
% 1.57/0.87  % Zipperpin 1.5 exiting
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