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Zipperpin---2.1.9999.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : FLD068-4 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RZcWl5WQwM true

% Computer : n026.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 Oct  2 04:33:23 PM UTC 2025

% Result   : Unsatisfiable 3.57s 1.08s
% Output   : Refutation 3.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : FLD068-4 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RZcWl5WQwM true
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 18:26:23 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % 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
% 0.53/0.65  % Total configuration time : 435
% 0.53/0.65  % Estimated wc time : 1092
% 0.53/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 3.57/1.08  % Solved by fo/fo13.sh.
% 3.57/1.08  % done 253 iterations in 0.300s
% 3.57/1.08  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.57/1.08  % SZS output start Refutation
% 3.57/1.08  thf(sum_type, type, sum: $i > $i > $i > $o).
% 3.57/1.08  thf(b_type, type, b: $i).
% 3.57/1.08  thf(a_type, type, a: $i).
% 3.57/1.08  thf(additive_identity_type, type, additive_identity: $i).
% 3.57/1.08  thf(u_type, type, u: $i).
% 3.57/1.08  thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 3.57/1.08  thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 3.57/1.08  thf(defined_type, type, defined: $i > $o).
% 3.57/1.08  thf(not_less_or_equal_6, conjecture, (less_or_equal @ a @ b)).
% 3.57/1.08  thf(zf_stmt_0, negated_conjecture, (~( less_or_equal @ a @ b )),
% 3.57/1.08    inference('cnf.neg', [status(esa)], [not_less_or_equal_6])).
% 3.57/1.08  thf(zip_derived_cl31, plain, (~ (less_or_equal @ a @ b)),
% 3.57/1.08      inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.57/1.08  thf(existence_of_inverse_addition, axiom,
% 3.57/1.08    (( sum @ ( additive_inverse @ X ) @ X @ additive_identity ) | 
% 3.57/1.08     ( ~( defined @ X ) ))).
% 3.57/1.08  thf(zip_derived_cl3, plain,
% 3.57/1.08      (![X0 : $i]:
% 3.57/1.08         ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 3.57/1.08          | ~ (defined @ X0))),
% 3.57/1.08      inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 3.57/1.08  thf(existence_of_identity_addition, axiom,
% 3.57/1.08    (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 3.57/1.08  thf(zip_derived_cl2, plain,
% 3.57/1.08      (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 3.57/1.08      inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 3.57/1.08  thf(commutativity_addition, axiom,
% 3.57/1.08    (( sum @ Y @ X @ Z ) | ( ~( sum @ X @ Y @ Z ) ))).
% 3.57/1.08  thf(zip_derived_cl4, plain,
% 3.57/1.08      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.57/1.08         ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 3.57/1.08      inference('cnf', [status(esa)], [commutativity_addition])).
% 3.57/1.08  thf(zip_derived_cl40, plain,
% 3.57/1.08      (![X0 : $i]: (~ (defined @ X0) |  (sum @ X0 @ additive_identity @ X0))),
% 3.57/1.08      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 3.57/1.08  thf(sum_4, conjecture, (~( sum @ b @ ( additive_inverse @ a ) @ u ))).
% 3.57/1.08  thf(zf_stmt_1, negated_conjecture, (sum @ b @ ( additive_inverse @ a ) @ u),
% 3.57/1.08    inference('cnf.neg', [status(esa)], [sum_4])).
% 3.57/1.08  thf(zip_derived_cl29, plain, ( (sum @ b @ (additive_inverse @ a) @ u)),
% 3.57/1.08      inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.57/1.08  thf(associativity_addition_2, axiom,
% 3.57/1.08    (( sum @ U @ Z @ W ) | ( ~( sum @ X @ Y @ U ) ) | 
% 3.57/1.08     ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ X @ V @ W ) ))).
% 3.57/1.08  thf(zip_derived_cl1, plain,
% 3.57/1.08      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.57/1.08         ( (sum @ X0 @ X1 @ X2)
% 3.57/1.08          | ~ (sum @ X3 @ X4 @ X0)
% 3.57/1.08          | ~ (sum @ X4 @ X1 @ X5)
% 3.57/1.08          | ~ (sum @ X3 @ X5 @ X2))),
% 3.57/1.08      inference('cnf', [status(esa)], [associativity_addition_2])).
% 3.57/1.08  thf(zip_derived_cl39, plain,
% 3.57/1.08      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.57/1.08         ( (sum @ u @ X1 @ X0)
% 3.57/1.08          | ~ (sum @ (additive_inverse @ a) @ X1 @ X2)
% 3.57/1.08          | ~ (sum @ b @ X2 @ X0))),
% 3.57/1.08      inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 3.57/1.08  thf(zip_derived_cl516, plain,
% 3.57/1.08      (![X0 : $i]:
% 3.57/1.08         (~ (defined @ b)
% 3.57/1.08          |  (sum @ u @ X0 @ b)
% 3.57/1.08          | ~ (sum @ (additive_inverse @ a) @ X0 @ additive_identity))),
% 3.57/1.08      inference('s_sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl39])).
% 3.57/1.08  thf(b_is_defined, axiom, (defined @ b)).
% 3.57/1.08  thf(zip_derived_cl27, plain, ( (defined @ b)),
% 3.57/1.08      inference('cnf', [status(esa)], [b_is_defined])).
% 3.57/1.08  thf(zip_derived_cl520, plain,
% 3.57/1.08      (![X0 : $i]:
% 3.57/1.08         ( (sum @ u @ X0 @ b)
% 3.57/1.08          | ~ (sum @ (additive_inverse @ a) @ X0 @ additive_identity))),
% 3.57/1.08      inference('demod', [status(thm)], [zip_derived_cl516, zip_derived_cl27])).
% 3.57/1.08  thf(zip_derived_cl523, plain, ((~ (defined @ a) |  (sum @ u @ a @ b))),
% 3.57/1.08      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl520])).
% 3.57/1.08  thf(a_is_defined, axiom, (defined @ a)).
% 3.57/1.08  thf(zip_derived_cl26, plain, ( (defined @ a)),
% 3.57/1.08      inference('cnf', [status(esa)], [a_is_defined])).
% 3.57/1.08  thf(zip_derived_cl524, plain, ( (sum @ u @ a @ b)),
% 3.57/1.08      inference('demod', [status(thm)], [zip_derived_cl523, zip_derived_cl26])).
% 3.57/1.08  thf(less_or_equal_5, conjecture,
% 3.57/1.08    (~( less_or_equal @ additive_identity @ u ))).
% 3.57/1.08  thf(zf_stmt_2, negated_conjecture, (less_or_equal @ additive_identity @ u),
% 3.57/1.08    inference('cnf.neg', [status(esa)], [less_or_equal_5])).
% 3.57/1.08  thf(zip_derived_cl30, plain, ( (less_or_equal @ additive_identity @ u)),
% 3.57/1.08      inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.57/1.08  thf(zip_derived_cl2, plain,
% 3.57/1.08      (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 3.57/1.08      inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 3.57/1.08  thf(compatibility_of_order_relation_and_addition, axiom,
% 3.57/1.08    (( less_or_equal @ U @ V ) | ( ~( less_or_equal @ X @ Y ) ) | 
% 3.57/1.08     ( ~( sum @ X @ Z @ U ) ) | ( ~( sum @ Y @ Z @ V ) ))).
% 3.57/1.08  thf(zip_derived_cl23, plain,
% 3.57/1.08      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.57/1.08         ( (less_or_equal @ X0 @ X1)
% 3.57/1.08          | ~ (less_or_equal @ X2 @ X3)
% 3.57/1.08          | ~ (sum @ X2 @ X4 @ X0)
% 3.57/1.08          | ~ (sum @ X3 @ X4 @ X1))),
% 3.57/1.08      inference('cnf', [status(esa)],
% 3.57/1.08                [compatibility_of_order_relation_and_addition])).
% 3.57/1.08  thf(zip_derived_cl56, plain,
% 3.57/1.08      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.57/1.08         (~ (defined @ X0)
% 3.57/1.08          |  (less_or_equal @ X0 @ X1)
% 3.57/1.08          | ~ (less_or_equal @ additive_identity @ X2)
% 3.57/1.08          | ~ (sum @ X2 @ X0 @ X1))),
% 3.57/1.08      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl23])).
% 3.57/1.08  thf(zip_derived_cl1103, plain,
% 3.57/1.08      (![X0 : $i, X1 : $i]:
% 3.57/1.08         (~ (defined @ X0) |  (less_or_equal @ X0 @ X1) | ~ (sum @ u @ X0 @ X1))),
% 3.57/1.08      inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl56])).
% 3.57/1.08  thf(zip_derived_cl1112, plain,
% 3.57/1.08      ((~ (defined @ a) |  (less_or_equal @ a @ b))),
% 3.57/1.08      inference('s_sup-', [status(thm)],
% 3.57/1.08                [zip_derived_cl524, zip_derived_cl1103])).
% 3.57/1.08  thf(zip_derived_cl26, plain, ( (defined @ a)),
% 3.57/1.08      inference('cnf', [status(esa)], [a_is_defined])).
% 3.57/1.08  thf(zip_derived_cl1118, plain, ( (less_or_equal @ a @ b)),
% 3.57/1.08      inference('demod', [status(thm)], [zip_derived_cl1112, zip_derived_cl26])).
% 3.57/1.08  thf(zip_derived_cl1119, plain, ($false),
% 3.57/1.08      inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl1118])).
% 3.57/1.08  
% 3.57/1.08  % SZS output end Refutation
% 3.57/1.08  
% 3.57/1.08  
% 3.57/1.08  % Terminating...
% 3.57/1.17  % Runner terminated.
% 3.57/1.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------