TSTP Solution File: FLD068-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD068-3 : 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.DO6KMQ6X3n true
% Computer : n024.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 22:39:38 EDT 2023
% Result : Unsatisfiable 52.68s 8.13s
% Output : Refutation 52.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD068-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DO6KMQ6X3n true
% 0.14/0.35 % Computer : n024.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 : Mon Aug 28 00:00:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.41/0.65 % Total configuration time : 435
% 0.41/0.65 % Estimated wc time : 1092
% 0.41/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.41/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 52.68/8.13 % Solved by fo/fo3_bce.sh.
% 52.68/8.13 % BCE start: 30
% 52.68/8.13 % BCE eliminated: 0
% 52.68/8.13 % PE start: 30
% 52.68/8.13 logic: neq
% 52.68/8.13 % PE eliminated: 0
% 52.68/8.13 % done 7280 iterations in 7.389s
% 52.68/8.13 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 52.68/8.13 % SZS output start Refutation
% 52.68/8.13 thf(sum_type, type, sum: $i > $i > $i > $o).
% 52.68/8.13 thf(b_type, type, b: $i).
% 52.68/8.13 thf(a_type, type, a: $i).
% 52.68/8.13 thf(add_type, type, add: $i > $i > $i).
% 52.68/8.13 thf(additive_identity_type, type, additive_identity: $i).
% 52.68/8.13 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 52.68/8.13 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 52.68/8.13 thf(defined_type, type, defined: $i > $o).
% 52.68/8.13 thf(well_definedness_of_additive_inverse, axiom,
% 52.68/8.13 (( defined @ ( additive_inverse @ X ) ) | ( ~( defined @ X ) ))).
% 52.68/8.13 thf(zip_derived_cl14, plain,
% 52.68/8.13 (![X0 : $i]: ( (defined @ (additive_inverse @ X0)) | ~ (defined @ X0))),
% 52.68/8.13 inference('cnf', [status(esa)], [well_definedness_of_additive_inverse])).
% 52.68/8.13 thf(existence_of_inverse_addition, axiom,
% 52.68/8.13 (( sum @ ( additive_inverse @ X ) @ X @ additive_identity ) |
% 52.68/8.13 ( ~( defined @ X ) ))).
% 52.68/8.13 thf(zip_derived_cl3, plain,
% 52.68/8.13 (![X0 : $i]:
% 52.68/8.13 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 52.68/8.13 | ~ (defined @ X0))),
% 52.68/8.13 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 52.68/8.13 thf(a_is_defined, axiom, (defined @ a)).
% 52.68/8.13 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 52.68/8.13 inference('cnf', [status(esa)], [a_is_defined])).
% 52.68/8.13 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 52.68/8.13 inference('cnf', [status(esa)], [a_is_defined])).
% 52.68/8.13 thf(totality_of_order_relation, axiom,
% 52.68/8.13 (( less_or_equal @ X @ Y ) | ( less_or_equal @ Y @ X ) |
% 52.68/8.13 ( ~( defined @ X ) ) | ( ~( defined @ Y ) ))).
% 52.68/8.13 thf(zip_derived_cl22, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i]:
% 52.68/8.13 ( (less_or_equal @ X0 @ X1)
% 52.68/8.13 | (less_or_equal @ X1 @ X0)
% 52.68/8.13 | ~ (defined @ X0)
% 52.68/8.13 | ~ (defined @ X1))),
% 52.68/8.13 inference('cnf', [status(esa)], [totality_of_order_relation])).
% 52.68/8.13 thf(zip_derived_cl56, plain,
% 52.68/8.13 (![X0 : $i]:
% 52.68/8.13 (~ (defined @ X0)
% 52.68/8.13 | (less_or_equal @ X0 @ a)
% 52.68/8.13 | (less_or_equal @ a @ X0))),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl22])).
% 52.68/8.13 thf(zip_derived_cl157, plain,
% 52.68/8.13 (( (less_or_equal @ a @ a) | (less_or_equal @ a @ a))),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl56])).
% 52.68/8.13 thf(zip_derived_cl159, plain, ( (less_or_equal @ a @ a)),
% 52.68/8.13 inference('simplify', [status(thm)], [zip_derived_cl157])).
% 52.68/8.13 thf(antisymmetry_of_order_relation, axiom,
% 52.68/8.13 (( sum @ additive_identity @ X @ Y ) | ( ~( less_or_equal @ X @ Y ) ) |
% 52.68/8.13 ( ~( less_or_equal @ Y @ X ) ))).
% 52.68/8.13 thf(zip_derived_cl20, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i]:
% 52.68/8.13 ( (sum @ additive_identity @ X0 @ X1)
% 52.68/8.13 | ~ (less_or_equal @ X0 @ X1)
% 52.68/8.13 | ~ (less_or_equal @ X1 @ X0))),
% 52.68/8.13 inference('cnf', [status(esa)], [antisymmetry_of_order_relation])).
% 52.68/8.13 thf(existence_of_identity_addition, axiom,
% 52.68/8.13 (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 52.68/8.13 thf(zip_derived_cl2, plain,
% 52.68/8.13 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 52.68/8.13 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 52.68/8.13 thf(commutativity_addition, axiom,
% 52.68/8.13 (( sum @ Y @ X @ Z ) | ( ~( sum @ X @ Y @ Z ) ))).
% 52.68/8.13 thf(zip_derived_cl4, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.68/8.13 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 52.68/8.13 inference('cnf', [status(esa)], [commutativity_addition])).
% 52.68/8.13 thf(zip_derived_cl36, plain,
% 52.68/8.13 (![X0 : $i]: (~ (defined @ X0) | (sum @ X0 @ additive_identity @ X0))),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 52.68/8.13 thf(associativity_addition_1, axiom,
% 52.68/8.13 (( sum @ X @ V @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 52.68/8.13 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ U @ Z @ W ) ))).
% 52.68/8.13 thf(zip_derived_cl0, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 52.68/8.13 ( (sum @ X0 @ X1 @ X2)
% 52.68/8.13 | ~ (sum @ X0 @ X3 @ X4)
% 52.68/8.13 | ~ (sum @ X3 @ X5 @ X1)
% 52.68/8.13 | ~ (sum @ X4 @ X5 @ X2))),
% 52.68/8.13 inference('cnf', [status(esa)], [associativity_addition_1])).
% 52.68/8.13 thf(zip_derived_cl40, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.68/8.13 (~ (defined @ X0)
% 52.68/8.13 | ~ (sum @ X0 @ X2 @ X1)
% 52.68/8.13 | ~ (sum @ additive_identity @ X2 @ X3)
% 52.68/8.13 | (sum @ X0 @ X3 @ X1))),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl0])).
% 52.68/8.13 thf(zip_derived_cl259, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i]:
% 52.68/8.13 ( (sum @ additive_identity @ X0 @ X0)
% 52.68/8.13 | ~ (sum @ additive_identity @ X1 @ X0)
% 52.68/8.13 | ~ (defined @ additive_identity))),
% 52.68/8.13 inference('eq_fact', [status(thm)], [zip_derived_cl40])).
% 52.68/8.13 thf(well_definedness_of_additive_identity, axiom,
% 52.68/8.13 (defined @ additive_identity)).
% 52.68/8.13 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 52.68/8.13 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 52.68/8.13 thf(zip_derived_cl261, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i]:
% 52.68/8.13 ( (sum @ additive_identity @ X0 @ X0)
% 52.68/8.13 | ~ (sum @ additive_identity @ X1 @ X0))),
% 52.68/8.13 inference('demod', [status(thm)], [zip_derived_cl259, zip_derived_cl13])).
% 52.68/8.13 thf(zip_derived_cl394, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i]:
% 52.68/8.13 (~ (less_or_equal @ X0 @ X1)
% 52.68/8.13 | ~ (less_or_equal @ X1 @ X0)
% 52.68/8.13 | (sum @ additive_identity @ X0 @ X0))),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl261])).
% 52.68/8.13 thf(zip_derived_cl426, plain,
% 52.68/8.13 (( (sum @ additive_identity @ a @ a) | ~ (less_or_equal @ a @ a))),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl159, zip_derived_cl394])).
% 52.68/8.13 thf(zip_derived_cl159, plain, ( (less_or_equal @ a @ a)),
% 52.68/8.13 inference('simplify', [status(thm)], [zip_derived_cl157])).
% 52.68/8.13 thf(zip_derived_cl439, plain, ( (sum @ additive_identity @ a @ a)),
% 52.68/8.13 inference('demod', [status(thm)], [zip_derived_cl426, zip_derived_cl159])).
% 52.68/8.13 thf(compatibility_of_order_relation_and_addition, axiom,
% 52.68/8.13 (( less_or_equal @ U @ V ) | ( ~( less_or_equal @ X @ Y ) ) |
% 52.68/8.13 ( ~( sum @ X @ Z @ U ) ) | ( ~( sum @ Y @ Z @ V ) ))).
% 52.68/8.13 thf(zip_derived_cl23, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 52.68/8.13 ( (less_or_equal @ X0 @ X1)
% 52.68/8.13 | ~ (less_or_equal @ X2 @ X3)
% 52.68/8.13 | ~ (sum @ X2 @ X4 @ X0)
% 52.68/8.13 | ~ (sum @ X3 @ X4 @ X1))),
% 52.68/8.13 inference('cnf', [status(esa)],
% 52.68/8.13 [compatibility_of_order_relation_and_addition])).
% 52.68/8.13 thf(zip_derived_cl459, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i]:
% 52.68/8.13 (~ (sum @ X1 @ a @ X0)
% 52.68/8.13 | ~ (less_or_equal @ additive_identity @ X1)
% 52.68/8.13 | (less_or_equal @ a @ X0))),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl439, zip_derived_cl23])).
% 52.68/8.13 thf(b_is_defined, axiom, (defined @ b)).
% 52.68/8.13 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 52.68/8.13 inference('cnf', [status(esa)], [b_is_defined])).
% 52.68/8.13 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 52.68/8.13 inference('cnf', [status(esa)], [b_is_defined])).
% 52.68/8.13 thf(zip_derived_cl22, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i]:
% 52.68/8.13 ( (less_or_equal @ X0 @ X1)
% 52.68/8.13 | (less_or_equal @ X1 @ X0)
% 52.68/8.13 | ~ (defined @ X0)
% 52.68/8.13 | ~ (defined @ X1))),
% 52.68/8.13 inference('cnf', [status(esa)], [totality_of_order_relation])).
% 52.68/8.13 thf(zip_derived_cl57, plain,
% 52.68/8.13 (![X0 : $i]:
% 52.68/8.13 (~ (defined @ X0)
% 52.68/8.13 | (less_or_equal @ X0 @ b)
% 52.68/8.13 | (less_or_equal @ b @ X0))),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl22])).
% 52.68/8.13 thf(zip_derived_cl306, plain,
% 52.68/8.13 (( (less_or_equal @ b @ b) | (less_or_equal @ b @ b))),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl57])).
% 52.68/8.13 thf(zip_derived_cl308, plain, ( (less_or_equal @ b @ b)),
% 52.68/8.13 inference('simplify', [status(thm)], [zip_derived_cl306])).
% 52.68/8.13 thf(zip_derived_cl394, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i]:
% 52.68/8.13 (~ (less_or_equal @ X0 @ X1)
% 52.68/8.13 | ~ (less_or_equal @ X1 @ X0)
% 52.68/8.13 | (sum @ additive_identity @ X0 @ X0))),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl261])).
% 52.68/8.13 thf(zip_derived_cl437, plain,
% 52.68/8.13 (( (sum @ additive_identity @ b @ b) | ~ (less_or_equal @ b @ b))),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl308, zip_derived_cl394])).
% 52.68/8.13 thf(zip_derived_cl308, plain, ( (less_or_equal @ b @ b)),
% 52.68/8.13 inference('simplify', [status(thm)], [zip_derived_cl306])).
% 52.68/8.13 thf(zip_derived_cl441, plain, ( (sum @ additive_identity @ b @ b)),
% 52.68/8.13 inference('demod', [status(thm)], [zip_derived_cl437, zip_derived_cl308])).
% 52.68/8.13 thf(zip_derived_cl4, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.68/8.13 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 52.68/8.13 inference('cnf', [status(esa)], [commutativity_addition])).
% 52.68/8.13 thf(zip_derived_cl491, plain, ( (sum @ b @ additive_identity @ b)),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl441, zip_derived_cl4])).
% 52.68/8.13 thf(totality_of_addition, axiom,
% 52.68/8.13 (( sum @ X @ Y @ ( add @ X @ Y ) ) | ( ~( defined @ X ) ) |
% 52.68/8.13 ( ~( defined @ Y ) ))).
% 52.68/8.13 thf(zip_derived_cl18, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i]:
% 52.68/8.13 ( (sum @ X0 @ X1 @ (add @ X0 @ X1))
% 52.68/8.13 | ~ (defined @ X0)
% 52.68/8.13 | ~ (defined @ X1))),
% 52.68/8.13 inference('cnf', [status(esa)], [totality_of_addition])).
% 52.68/8.13 thf(associativity_addition_2, axiom,
% 52.68/8.13 (( sum @ U @ Z @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 52.68/8.13 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ X @ V @ W ) ))).
% 52.68/8.13 thf(zip_derived_cl1, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 52.68/8.13 ( (sum @ X0 @ X1 @ X2)
% 52.68/8.13 | ~ (sum @ X3 @ X4 @ X0)
% 52.68/8.13 | ~ (sum @ X4 @ X1 @ X5)
% 52.68/8.13 | ~ (sum @ X3 @ X5 @ X2))),
% 52.68/8.13 inference('cnf', [status(esa)], [associativity_addition_2])).
% 52.68/8.13 thf(zip_derived_cl95, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 52.68/8.13 (~ (defined @ X0)
% 52.68/8.13 | ~ (defined @ X1)
% 52.68/8.13 | ~ (sum @ X1 @ X3 @ X2)
% 52.68/8.13 | ~ (sum @ X0 @ X4 @ X3)
% 52.68/8.13 | (sum @ (add @ X1 @ X0) @ X4 @ X2))),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 52.68/8.13 thf(zip_derived_cl2058, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i]:
% 52.68/8.13 ( (sum @ (add @ b @ X1) @ X0 @ b)
% 52.68/8.13 | ~ (sum @ X1 @ X0 @ additive_identity)
% 52.68/8.13 | ~ (defined @ b)
% 52.68/8.13 | ~ (defined @ X1))),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl491, zip_derived_cl95])).
% 52.68/8.13 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 52.68/8.13 inference('cnf', [status(esa)], [b_is_defined])).
% 52.68/8.13 thf(zip_derived_cl2081, plain,
% 52.68/8.13 (![X0 : $i, X1 : $i]:
% 52.68/8.13 ( (sum @ (add @ b @ X1) @ X0 @ b)
% 52.68/8.13 | ~ (sum @ X1 @ X0 @ additive_identity)
% 52.68/8.13 | ~ (defined @ X1))),
% 52.68/8.13 inference('demod', [status(thm)], [zip_derived_cl2058, zip_derived_cl27])).
% 52.68/8.13 thf(zip_derived_cl63993, plain,
% 52.68/8.13 (![X0 : $i]:
% 52.68/8.13 ( (less_or_equal @ a @ b)
% 52.68/8.13 | ~ (less_or_equal @ additive_identity @ (add @ b @ X0))
% 52.68/8.13 | ~ (defined @ X0)
% 52.68/8.13 | ~ (sum @ X0 @ a @ additive_identity))),
% 52.68/8.13 inference('sup+', [status(thm)], [zip_derived_cl459, zip_derived_cl2081])).
% 52.68/8.13 thf(not_less_or_equal_4, conjecture, (less_or_equal @ a @ b)).
% 52.68/8.13 thf(zf_stmt_0, negated_conjecture, (~( less_or_equal @ a @ b )),
% 52.68/8.13 inference('cnf.neg', [status(esa)], [not_less_or_equal_4])).
% 52.68/8.13 thf(zip_derived_cl29, plain, (~ (less_or_equal @ a @ b)),
% 52.68/8.13 inference('cnf', [status(esa)], [zf_stmt_0])).
% 52.68/8.13 thf(zip_derived_cl64014, plain,
% 52.68/8.13 (![X0 : $i]:
% 52.68/8.13 (~ (less_or_equal @ additive_identity @ (add @ b @ X0))
% 52.68/8.13 | ~ (defined @ X0)
% 52.68/8.13 | ~ (sum @ X0 @ a @ additive_identity))),
% 52.68/8.13 inference('demod', [status(thm)], [zip_derived_cl63993, zip_derived_cl29])).
% 52.68/8.13 thf(zip_derived_cl64637, plain,
% 52.68/8.13 ((~ (defined @ a)
% 52.68/8.13 | ~ (defined @ (additive_inverse @ a))
% 52.68/8.13 | ~ (less_or_equal @ additive_identity @
% 52.68/8.13 (add @ b @ (additive_inverse @ a))))),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl64014])).
% 52.68/8.13 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 52.68/8.13 inference('cnf', [status(esa)], [a_is_defined])).
% 52.68/8.13 thf(less_or_equal_3, conjecture,
% 52.68/8.13 (~( less_or_equal @
% 52.68/8.13 additive_identity @ ( add @ b @ ( additive_inverse @ a ) ) ))).
% 52.68/8.13 thf(zf_stmt_1, negated_conjecture,
% 52.68/8.13 (less_or_equal @ additive_identity @ ( add @ b @ ( additive_inverse @ a ) )),
% 52.68/8.13 inference('cnf.neg', [status(esa)], [less_or_equal_3])).
% 52.68/8.13 thf(zip_derived_cl28, plain,
% 52.68/8.13 ( (less_or_equal @ additive_identity @ (add @ b @ (additive_inverse @ a)))),
% 52.68/8.13 inference('cnf', [status(esa)], [zf_stmt_1])).
% 52.68/8.13 thf(zip_derived_cl64665, plain, (~ (defined @ (additive_inverse @ a))),
% 52.68/8.13 inference('demod', [status(thm)],
% 52.68/8.13 [zip_derived_cl64637, zip_derived_cl26, zip_derived_cl28])).
% 52.68/8.13 thf(zip_derived_cl64686, plain, (~ (defined @ a)),
% 52.68/8.13 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl64665])).
% 52.68/8.13 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 52.68/8.13 inference('cnf', [status(esa)], [a_is_defined])).
% 52.68/8.13 thf(zip_derived_cl64687, plain, ($false),
% 52.68/8.13 inference('demod', [status(thm)], [zip_derived_cl64686, zip_derived_cl26])).
% 52.68/8.13
% 52.68/8.13 % SZS output end Refutation
% 52.68/8.13
% 52.68/8.13
% 52.68/8.13 % Terminating...
% 52.68/8.17 % Runner terminated.
% 52.68/8.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------