TSTP Solution File: FLD023-3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : FLD023-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Zi6BFEOv0p true

% Computer : n015.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 22:39:13 EDT 2023

% Result   : Unsatisfiable 0.20s 0.78s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : FLD023-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Zi6BFEOv0p true
% 0.14/0.34  % Computer : n015.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 00:42:54 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
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78  % Solved by fo/fo6_bce.sh.
% 0.20/0.78  % BCE start: 30
% 0.20/0.78  % BCE eliminated: 0
% 0.20/0.78  % PE start: 30
% 0.20/0.78  logic: neq
% 0.20/0.78  % PE eliminated: 0
% 0.20/0.78  % done 81 iterations in 0.059s
% 0.20/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.78  % SZS output start Refutation
% 0.20/0.78  thf(sum_type, type, sum: $i > $i > $i > $o).
% 0.20/0.78  thf(b_type, type, b: $i).
% 0.20/0.78  thf(a_type, type, a: $i).
% 0.20/0.78  thf(add_type, type, add: $i > $i > $i).
% 0.20/0.78  thf(additive_identity_type, type, additive_identity: $i).
% 0.20/0.78  thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 0.20/0.78  thf(defined_type, type, defined: $i > $o).
% 0.20/0.78  thf(existence_of_inverse_addition, axiom,
% 0.20/0.78    (( sum @ ( additive_inverse @ X ) @ X @ additive_identity ) | 
% 0.20/0.78     ( ~( defined @ X ) ))).
% 0.20/0.78  thf(zip_derived_cl3, plain,
% 0.20/0.78      (![X0 : $i]:
% 0.20/0.78         ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 0.20/0.78          | ~ (defined @ X0))),
% 0.20/0.78      inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 0.20/0.78  thf(commutativity_addition, axiom,
% 0.20/0.78    (( sum @ Y @ X @ Z ) | ( ~( sum @ X @ Y @ Z ) ))).
% 0.20/0.78  thf(zip_derived_cl4, plain,
% 0.20/0.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.78         ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 0.20/0.78      inference('cnf', [status(esa)], [commutativity_addition])).
% 0.20/0.78  thf(zip_derived_cl52, plain,
% 0.20/0.78      (![X0 : $i]:
% 0.20/0.78         (~ (defined @ X0)
% 0.20/0.78          |  (sum @ X0 @ (additive_inverse @ X0) @ additive_identity))),
% 0.20/0.78      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 0.20/0.78  thf(sum_3, conjecture, (~( sum @ additive_identity @ a @ b ))).
% 0.20/0.78  thf(zf_stmt_0, negated_conjecture, (sum @ additive_identity @ a @ b),
% 0.20/0.78    inference('cnf.neg', [status(esa)], [sum_3])).
% 0.20/0.78  thf(zip_derived_cl28, plain, ( (sum @ additive_identity @ a @ b)),
% 0.20/0.78      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.78  thf(associativity_addition_2, axiom,
% 0.20/0.78    (( sum @ U @ Z @ W ) | ( ~( sum @ X @ Y @ U ) ) | 
% 0.20/0.78     ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ X @ V @ W ) ))).
% 0.20/0.78  thf(zip_derived_cl1, plain,
% 0.20/0.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.20/0.78         ( (sum @ X0 @ X1 @ X2)
% 0.20/0.78          | ~ (sum @ X3 @ X4 @ X0)
% 0.20/0.78          | ~ (sum @ X4 @ X1 @ X5)
% 0.20/0.78          | ~ (sum @ X3 @ X5 @ X2))),
% 0.20/0.78      inference('cnf', [status(esa)], [associativity_addition_2])).
% 0.20/0.78  thf(zip_derived_cl34, plain,
% 0.20/0.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.78         ( (sum @ b @ X1 @ X0)
% 0.20/0.78          | ~ (sum @ a @ X1 @ X2)
% 0.20/0.78          | ~ (sum @ additive_identity @ X2 @ X0))),
% 0.20/0.78      inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl1])).
% 0.20/0.78  thf(zip_derived_cl366, plain,
% 0.20/0.78      (![X0 : $i]:
% 0.20/0.78         (~ (defined @ a)
% 0.20/0.78          |  (sum @ b @ (additive_inverse @ a) @ X0)
% 0.20/0.78          | ~ (sum @ additive_identity @ additive_identity @ X0))),
% 0.20/0.78      inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl34])).
% 0.20/0.78  thf(a_is_defined, axiom, (defined @ a)).
% 0.20/0.78  thf(zip_derived_cl26, plain, ( (defined @ a)),
% 0.20/0.78      inference('cnf', [status(esa)], [a_is_defined])).
% 0.20/0.78  thf(zip_derived_cl370, plain,
% 0.20/0.78      (![X0 : $i]:
% 0.20/0.78         ( (sum @ b @ (additive_inverse @ a) @ X0)
% 0.20/0.78          | ~ (sum @ additive_identity @ additive_identity @ X0))),
% 0.20/0.78      inference('demod', [status(thm)], [zip_derived_cl366, zip_derived_cl26])).
% 0.20/0.78  thf(not_sum_4, conjecture,
% 0.20/0.78    (sum @ b @ ( additive_inverse @ a ) @ additive_identity)).
% 0.20/0.78  thf(zf_stmt_1, negated_conjecture,
% 0.20/0.78    (~( sum @ b @ ( additive_inverse @ a ) @ additive_identity )),
% 0.20/0.78    inference('cnf.neg', [status(esa)], [not_sum_4])).
% 0.20/0.78  thf(zip_derived_cl29, plain,
% 0.20/0.78      (~ (sum @ b @ (additive_inverse @ a) @ additive_identity)),
% 0.20/0.78      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.20/0.78  thf(zip_derived_cl409, plain,
% 0.20/0.78      (~ (sum @ additive_identity @ additive_identity @ additive_identity)),
% 0.20/0.78      inference('s_sup-', [status(thm)], [zip_derived_cl370, zip_derived_cl29])).
% 0.20/0.78  thf(totality_of_addition, axiom,
% 0.20/0.78    (( sum @ X @ Y @ ( add @ X @ Y ) ) | ( ~( defined @ X ) ) | 
% 0.20/0.78     ( ~( defined @ Y ) ))).
% 0.20/0.78  thf(zip_derived_cl18, plain,
% 0.20/0.78      (![X0 : $i, X1 : $i]:
% 0.20/0.78         ( (sum @ X0 @ X1 @ (add @ X0 @ X1))
% 0.20/0.78          | ~ (defined @ X0)
% 0.20/0.78          | ~ (defined @ X1))),
% 0.20/0.78      inference('cnf', [status(esa)], [totality_of_addition])).
% 0.20/0.78  thf(existence_of_identity_addition, axiom,
% 0.20/0.78    (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 0.20/0.78  thf(zip_derived_cl2, plain,
% 0.20/0.78      (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 0.20/0.78      inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 0.20/0.78  thf(associativity_addition_1, axiom,
% 0.20/0.78    (( sum @ X @ V @ W ) | ( ~( sum @ X @ Y @ U ) ) | 
% 0.20/0.78     ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ U @ Z @ W ) ))).
% 0.20/0.78  thf(zip_derived_cl0, plain,
% 0.20/0.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.20/0.78         ( (sum @ X0 @ X1 @ X2)
% 0.20/0.78          | ~ (sum @ X0 @ X3 @ X4)
% 0.20/0.78          | ~ (sum @ X3 @ X5 @ X1)
% 0.20/0.78          | ~ (sum @ X4 @ X5 @ X2))),
% 0.20/0.78      inference('cnf', [status(esa)], [associativity_addition_1])).
% 0.20/0.78  thf(zip_derived_cl32, plain,
% 0.20/0.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.78         (~ (sum @ X0 @ X1 @ X0)
% 0.20/0.78          | ~ (sum @ X1 @ X1 @ X2)
% 0.20/0.78          |  (sum @ X0 @ X2 @ X0))),
% 0.20/0.78      inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 0.20/0.78  thf(zip_derived_cl60, plain,
% 0.20/0.78      (![X0 : $i]:
% 0.20/0.78         (~ (defined @ additive_identity)
% 0.20/0.78          | ~ (sum @ additive_identity @ additive_identity @ X0)
% 0.20/0.78          |  (sum @ additive_identity @ X0 @ additive_identity))),
% 0.20/0.78      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl32])).
% 0.20/0.78  thf(well_definedness_of_additive_identity, axiom,
% 0.20/0.78    (defined @ additive_identity)).
% 0.20/0.78  thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 0.20/0.78      inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 0.20/0.78  thf(zip_derived_cl63, plain,
% 0.20/0.78      (![X0 : $i]:
% 0.20/0.78         (~ (sum @ additive_identity @ additive_identity @ X0)
% 0.20/0.78          |  (sum @ additive_identity @ X0 @ additive_identity))),
% 0.20/0.78      inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl13])).
% 0.20/0.78  thf(zip_derived_cl167, plain,
% 0.20/0.78      ((~ (defined @ additive_identity)
% 0.20/0.78        | ~ (defined @ additive_identity)
% 0.20/0.78        |  (sum @ additive_identity @ 
% 0.20/0.78            (add @ additive_identity @ additive_identity) @ additive_identity))),
% 0.20/0.78      inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl63])).
% 0.20/0.78  thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 0.20/0.78      inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 0.20/0.78  thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 0.20/0.78      inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 0.20/0.78  thf(zip_derived_cl171, plain,
% 0.20/0.78      ( (sum @ additive_identity @ 
% 0.20/0.78         (add @ additive_identity @ additive_identity) @ additive_identity)),
% 0.20/0.78      inference('demod', [status(thm)],
% 0.20/0.78                [zip_derived_cl167, zip_derived_cl13, zip_derived_cl13])).
% 0.20/0.78  thf(zip_derived_cl2, plain,
% 0.20/0.78      (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 0.20/0.78      inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 0.20/0.78  thf(zip_derived_cl0, plain,
% 0.20/0.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.20/0.78         ( (sum @ X0 @ X1 @ X2)
% 0.20/0.78          | ~ (sum @ X0 @ X3 @ X4)
% 0.20/0.78          | ~ (sum @ X3 @ X5 @ X1)
% 0.20/0.78          | ~ (sum @ X4 @ X5 @ X2))),
% 0.20/0.78      inference('cnf', [status(esa)], [associativity_addition_1])).
% 0.20/0.78  thf(zip_derived_cl42, plain,
% 0.20/0.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.78         (~ (defined @ X0)
% 0.20/0.78          |  (sum @ additive_identity @ X2 @ X1)
% 0.20/0.78          | ~ (sum @ X0 @ X3 @ X2)
% 0.20/0.78          | ~ (sum @ X0 @ X3 @ X1))),
% 0.20/0.78      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.20/0.78  thf(zip_derived_cl144, plain,
% 0.20/0.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.78         (~ (sum @ X2 @ X1 @ X0)
% 0.20/0.78          |  (sum @ additive_identity @ X0 @ X0)
% 0.20/0.78          | ~ (defined @ X2))),
% 0.20/0.78      inference('eq_fact', [status(thm)], [zip_derived_cl42])).
% 0.20/0.78  thf(zip_derived_cl268, plain,
% 0.20/0.78      (( (sum @ additive_identity @ additive_identity @ additive_identity)
% 0.20/0.78        | ~ (defined @ additive_identity))),
% 0.20/0.78      inference('s_sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl144])).
% 0.20/0.78  thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 0.20/0.78      inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 0.20/0.78  thf(zip_derived_cl285, plain,
% 0.20/0.78      ( (sum @ additive_identity @ additive_identity @ additive_identity)),
% 0.20/0.78      inference('demod', [status(thm)], [zip_derived_cl268, zip_derived_cl13])).
% 0.20/0.78  thf(zip_derived_cl412, plain, ($false),
% 0.20/0.78      inference('demod', [status(thm)], [zip_derived_cl409, zip_derived_cl285])).
% 0.20/0.78  
% 0.20/0.78  % SZS output end Refutation
% 0.20/0.78  
% 0.20/0.78  
% 0.20/0.78  % Terminating...
% 0.98/0.86  % Runner terminated.
% 0.98/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------