TSTP Solution File: FLD063-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD063-3 : 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.ySuTE6VyV6 true
% Computer : n022.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 22:39:35 EDT 2023
% Result : Unsatisfiable 4.35s 1.23s
% Output : Refutation 4.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD063-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ySuTE6VyV6 true
% 0.18/0.34 % Computer : n022.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Sun Aug 27 23:24:39 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.18/0.34 % Running portfolio for 300 s
% 0.18/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35 % Number of cores: 8
% 0.18/0.35 % Python version: Python 3.6.8
% 0.18/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.35/1.23 % Solved by fo/fo7.sh.
% 4.35/1.23 % done 1082 iterations in 0.448s
% 4.35/1.23 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.35/1.23 % SZS output start Refutation
% 4.35/1.23 thf(sum_type, type, sum: $i > $i > $i > $o).
% 4.35/1.23 thf(b_type, type, b: $i).
% 4.35/1.23 thf(a_type, type, a: $i).
% 4.35/1.23 thf(add_type, type, add: $i > $i > $i).
% 4.35/1.23 thf(additive_identity_type, type, additive_identity: $i).
% 4.35/1.23 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 4.35/1.23 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 4.35/1.23 thf(defined_type, type, defined: $i > $o).
% 4.35/1.23 thf(not_less_or_equal_4, conjecture, (less_or_equal @ a @ b)).
% 4.35/1.23 thf(zf_stmt_0, negated_conjecture, (~( less_or_equal @ a @ b )),
% 4.35/1.23 inference('cnf.neg', [status(esa)], [not_less_or_equal_4])).
% 4.35/1.23 thf(zip_derived_cl29, plain, (~ (less_or_equal @ a @ b)),
% 4.35/1.23 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.35/1.23 thf(well_definedness_of_additive_inverse, axiom,
% 4.35/1.23 (( defined @ ( additive_inverse @ X ) ) | ( ~( defined @ X ) ))).
% 4.35/1.23 thf(zip_derived_cl14, plain,
% 4.35/1.23 (![X0 : $i]: ( (defined @ (additive_inverse @ X0)) | ~ (defined @ X0))),
% 4.35/1.23 inference('cnf', [status(esa)], [well_definedness_of_additive_inverse])).
% 4.35/1.23 thf(totality_of_addition, axiom,
% 4.35/1.23 (( sum @ X @ Y @ ( add @ X @ Y ) ) | ( ~( defined @ X ) ) |
% 4.35/1.23 ( ~( defined @ Y ) ))).
% 4.35/1.23 thf(zip_derived_cl18, plain,
% 4.35/1.23 (![X0 : $i, X1 : $i]:
% 4.35/1.23 ( (sum @ X0 @ X1 @ (add @ X0 @ X1))
% 4.35/1.23 | ~ (defined @ X0)
% 4.35/1.23 | ~ (defined @ X1))),
% 4.35/1.23 inference('cnf', [status(esa)], [totality_of_addition])).
% 4.35/1.23 thf(b_is_defined, axiom, (defined @ b)).
% 4.35/1.23 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 4.35/1.23 inference('cnf', [status(esa)], [b_is_defined])).
% 4.35/1.23 thf(existence_of_identity_addition, axiom,
% 4.35/1.23 (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 4.35/1.23 thf(zip_derived_cl2, plain,
% 4.35/1.23 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 4.35/1.23 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 4.35/1.23 thf(zip_derived_cl36, plain, ( (sum @ additive_identity @ b @ b)),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl2])).
% 4.35/1.23 thf(zip_derived_cl14, plain,
% 4.35/1.23 (![X0 : $i]: ( (defined @ (additive_inverse @ X0)) | ~ (defined @ X0))),
% 4.35/1.23 inference('cnf', [status(esa)], [well_definedness_of_additive_inverse])).
% 4.35/1.23 thf(zip_derived_cl2, plain,
% 4.35/1.23 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 4.35/1.23 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 4.35/1.23 thf(zip_derived_cl43, plain,
% 4.35/1.23 (![X0 : $i]:
% 4.35/1.23 (~ (defined @ X0)
% 4.35/1.23 | (sum @ additive_identity @ (additive_inverse @ X0) @
% 4.35/1.23 (additive_inverse @ X0)))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl2])).
% 4.35/1.23 thf(existence_of_inverse_addition, axiom,
% 4.35/1.23 (( sum @ ( additive_inverse @ X ) @ X @ additive_identity ) |
% 4.35/1.23 ( ~( defined @ X ) ))).
% 4.35/1.23 thf(zip_derived_cl3, plain,
% 4.35/1.23 (![X0 : $i]:
% 4.35/1.23 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 4.35/1.23 | ~ (defined @ X0))),
% 4.35/1.23 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 4.35/1.23 thf(commutativity_addition, axiom,
% 4.35/1.23 (( sum @ Y @ X @ Z ) | ( ~( sum @ X @ Y @ Z ) ))).
% 4.35/1.23 thf(zip_derived_cl4, plain,
% 4.35/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.35/1.23 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 4.35/1.23 inference('cnf', [status(esa)], [commutativity_addition])).
% 4.35/1.23 thf(zip_derived_cl78, plain,
% 4.35/1.23 (![X0 : $i]:
% 4.35/1.23 (~ (defined @ X0)
% 4.35/1.23 | (sum @ X0 @ (additive_inverse @ X0) @ additive_identity))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 4.35/1.23 thf(zip_derived_cl2, plain,
% 4.35/1.23 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 4.35/1.23 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 4.35/1.23 thf(a_is_defined, axiom, (defined @ a)).
% 4.35/1.23 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 4.35/1.23 inference('cnf', [status(esa)], [a_is_defined])).
% 4.35/1.23 thf(zip_derived_cl32, plain, ( (sum @ additive_identity @ a @ a)),
% 4.35/1.23 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl26])).
% 4.35/1.23 thf(zip_derived_cl4, plain,
% 4.35/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.35/1.23 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 4.35/1.23 inference('cnf', [status(esa)], [commutativity_addition])).
% 4.35/1.23 thf(zip_derived_cl52, plain, ( (sum @ a @ additive_identity @ a)),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl4])).
% 4.35/1.23 thf(associativity_addition_1, axiom,
% 4.35/1.23 (( sum @ X @ V @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 4.35/1.23 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ U @ Z @ W ) ))).
% 4.35/1.23 thf(zip_derived_cl0, plain,
% 4.35/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.35/1.23 ( (sum @ X0 @ X1 @ X2)
% 4.35/1.23 | ~ (sum @ X0 @ X3 @ X4)
% 4.35/1.23 | ~ (sum @ X3 @ X5 @ X1)
% 4.35/1.23 | ~ (sum @ X4 @ X5 @ X2))),
% 4.35/1.23 inference('cnf', [status(esa)], [associativity_addition_1])).
% 4.35/1.23 thf(zip_derived_cl141, plain,
% 4.35/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.35/1.23 (~ (sum @ a @ X1 @ X0)
% 4.35/1.23 | ~ (sum @ additive_identity @ X1 @ X2)
% 4.35/1.23 | (sum @ a @ X2 @ X0))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl0])).
% 4.35/1.23 thf(zip_derived_cl759, plain,
% 4.35/1.23 (![X0 : $i]:
% 4.35/1.23 (~ (defined @ a)
% 4.35/1.23 | (sum @ a @ X0 @ additive_identity)
% 4.35/1.23 | ~ (sum @ additive_identity @ (additive_inverse @ a) @ X0))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl141])).
% 4.35/1.23 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 4.35/1.23 inference('cnf', [status(esa)], [a_is_defined])).
% 4.35/1.23 thf(zip_derived_cl765, plain,
% 4.35/1.23 (![X0 : $i]:
% 4.35/1.23 ( (sum @ a @ X0 @ additive_identity)
% 4.35/1.23 | ~ (sum @ additive_identity @ (additive_inverse @ a) @ X0))),
% 4.35/1.23 inference('demod', [status(thm)], [zip_derived_cl759, zip_derived_cl26])).
% 4.35/1.23 thf(zip_derived_cl767, plain,
% 4.35/1.23 ((~ (defined @ a)
% 4.35/1.23 | (sum @ a @ (additive_inverse @ a) @ additive_identity))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl765])).
% 4.35/1.23 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 4.35/1.23 inference('cnf', [status(esa)], [a_is_defined])).
% 4.35/1.23 thf(zip_derived_cl769, plain,
% 4.35/1.23 ( (sum @ a @ (additive_inverse @ a) @ additive_identity)),
% 4.35/1.23 inference('demod', [status(thm)], [zip_derived_cl767, zip_derived_cl26])).
% 4.35/1.23 thf(zip_derived_cl0, plain,
% 4.35/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.35/1.23 ( (sum @ X0 @ X1 @ X2)
% 4.35/1.23 | ~ (sum @ X0 @ X3 @ X4)
% 4.35/1.23 | ~ (sum @ X3 @ X5 @ X1)
% 4.35/1.23 | ~ (sum @ X4 @ X5 @ X2))),
% 4.35/1.23 inference('cnf', [status(esa)], [associativity_addition_1])).
% 4.35/1.23 thf(zip_derived_cl788, plain,
% 4.35/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.35/1.23 (~ (sum @ additive_identity @ X1 @ X0)
% 4.35/1.23 | ~ (sum @ (additive_inverse @ a) @ X1 @ X2)
% 4.35/1.23 | (sum @ a @ X2 @ X0))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl769, zip_derived_cl0])).
% 4.35/1.23 thf(zip_derived_cl2675, plain,
% 4.35/1.23 (![X0 : $i]:
% 4.35/1.23 ( (sum @ a @ X0 @ b) | ~ (sum @ (additive_inverse @ a) @ b @ X0))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl788])).
% 4.35/1.23 thf(zip_derived_cl2696, plain,
% 4.35/1.23 ((~ (defined @ b)
% 4.35/1.23 | ~ (defined @ (additive_inverse @ a))
% 4.35/1.23 | (sum @ a @ (add @ (additive_inverse @ a) @ b) @ b))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl2675])).
% 4.35/1.23 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 4.35/1.23 inference('cnf', [status(esa)], [b_is_defined])).
% 4.35/1.23 thf(zip_derived_cl2698, plain,
% 4.35/1.23 ((~ (defined @ (additive_inverse @ a))
% 4.35/1.23 | (sum @ a @ (add @ (additive_inverse @ a) @ b) @ b))),
% 4.35/1.23 inference('demod', [status(thm)], [zip_derived_cl2696, zip_derived_cl27])).
% 4.35/1.23 thf(zip_derived_cl3333, plain,
% 4.35/1.23 ((~ (defined @ a) | (sum @ a @ (add @ (additive_inverse @ a) @ b) @ b))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl2698])).
% 4.35/1.23 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 4.35/1.23 inference('cnf', [status(esa)], [a_is_defined])).
% 4.35/1.23 thf(zip_derived_cl3334, plain,
% 4.35/1.23 ( (sum @ a @ (add @ (additive_inverse @ a) @ b) @ b)),
% 4.35/1.23 inference('demod', [status(thm)], [zip_derived_cl3333, zip_derived_cl26])).
% 4.35/1.23 thf(zip_derived_cl4, plain,
% 4.35/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.35/1.23 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 4.35/1.23 inference('cnf', [status(esa)], [commutativity_addition])).
% 4.35/1.23 thf(zip_derived_cl3336, plain,
% 4.35/1.23 ( (sum @ (add @ (additive_inverse @ a) @ b) @ a @ b)),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl3334, zip_derived_cl4])).
% 4.35/1.23 thf(zip_derived_cl14, plain,
% 4.35/1.23 (![X0 : $i]: ( (defined @ (additive_inverse @ X0)) | ~ (defined @ X0))),
% 4.35/1.23 inference('cnf', [status(esa)], [well_definedness_of_additive_inverse])).
% 4.35/1.23 thf(zip_derived_cl18, plain,
% 4.35/1.23 (![X0 : $i, X1 : $i]:
% 4.35/1.23 ( (sum @ X0 @ X1 @ (add @ X0 @ X1))
% 4.35/1.23 | ~ (defined @ X0)
% 4.35/1.23 | ~ (defined @ X1))),
% 4.35/1.23 inference('cnf', [status(esa)], [totality_of_addition])).
% 4.35/1.23 thf(less_or_equal_3, conjecture,
% 4.35/1.23 (~( less_or_equal @ ( additive_inverse @ b ) @ ( additive_inverse @ a ) ))).
% 4.35/1.23 thf(zf_stmt_1, negated_conjecture,
% 4.35/1.23 (less_or_equal @ ( additive_inverse @ b ) @ ( additive_inverse @ a )),
% 4.35/1.23 inference('cnf.neg', [status(esa)], [less_or_equal_3])).
% 4.35/1.23 thf(zip_derived_cl28, plain,
% 4.35/1.23 ( (less_or_equal @ (additive_inverse @ b) @ (additive_inverse @ a))),
% 4.35/1.23 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.35/1.23 thf(zip_derived_cl3, plain,
% 4.35/1.23 (![X0 : $i]:
% 4.35/1.23 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 4.35/1.23 | ~ (defined @ X0))),
% 4.35/1.23 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 4.35/1.23 thf(compatibility_of_order_relation_and_addition, axiom,
% 4.35/1.23 (( less_or_equal @ U @ V ) | ( ~( less_or_equal @ X @ Y ) ) |
% 4.35/1.23 ( ~( sum @ X @ Z @ U ) ) | ( ~( sum @ Y @ Z @ V ) ))).
% 4.35/1.23 thf(zip_derived_cl23, plain,
% 4.35/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.35/1.23 ( (less_or_equal @ X0 @ X1)
% 4.35/1.23 | ~ (less_or_equal @ X2 @ X3)
% 4.35/1.23 | ~ (sum @ X2 @ X4 @ X0)
% 4.35/1.23 | ~ (sum @ X3 @ X4 @ X1))),
% 4.35/1.23 inference('cnf', [status(esa)],
% 4.35/1.23 [compatibility_of_order_relation_and_addition])).
% 4.35/1.23 thf(zip_derived_cl79, plain,
% 4.35/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.35/1.23 (~ (defined @ X0)
% 4.35/1.23 | ~ (sum @ X2 @ X0 @ X1)
% 4.35/1.23 | ~ (less_or_equal @ (additive_inverse @ X0) @ X2)
% 4.35/1.23 | (less_or_equal @ additive_identity @ X1))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl23])).
% 4.35/1.23 thf(zip_derived_cl102, plain,
% 4.35/1.23 (![X0 : $i]:
% 4.35/1.23 ( (less_or_equal @ additive_identity @ X0)
% 4.35/1.23 | ~ (sum @ (additive_inverse @ a) @ b @ X0)
% 4.35/1.23 | ~ (defined @ b))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl79])).
% 4.35/1.23 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 4.35/1.23 inference('cnf', [status(esa)], [b_is_defined])).
% 4.35/1.23 thf(zip_derived_cl104, plain,
% 4.35/1.23 (![X0 : $i]:
% 4.35/1.23 ( (less_or_equal @ additive_identity @ X0)
% 4.35/1.23 | ~ (sum @ (additive_inverse @ a) @ b @ X0))),
% 4.35/1.23 inference('demod', [status(thm)], [zip_derived_cl102, zip_derived_cl27])).
% 4.35/1.23 thf(zip_derived_cl178, plain,
% 4.35/1.23 ((~ (defined @ b)
% 4.35/1.23 | ~ (defined @ (additive_inverse @ a))
% 4.35/1.23 | (less_or_equal @ additive_identity @
% 4.35/1.23 (add @ (additive_inverse @ a) @ b)))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl104])).
% 4.35/1.23 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 4.35/1.23 inference('cnf', [status(esa)], [b_is_defined])).
% 4.35/1.23 thf(zip_derived_cl185, plain,
% 4.35/1.23 ((~ (defined @ (additive_inverse @ a))
% 4.35/1.23 | (less_or_equal @ additive_identity @
% 4.35/1.23 (add @ (additive_inverse @ a) @ b)))),
% 4.35/1.23 inference('demod', [status(thm)], [zip_derived_cl178, zip_derived_cl27])).
% 4.35/1.23 thf(zip_derived_cl409, plain,
% 4.35/1.23 ((~ (defined @ a)
% 4.35/1.23 | (less_or_equal @ additive_identity @
% 4.35/1.23 (add @ (additive_inverse @ a) @ b)))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl185])).
% 4.35/1.23 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 4.35/1.23 inference('cnf', [status(esa)], [a_is_defined])).
% 4.35/1.23 thf(zip_derived_cl410, plain,
% 4.35/1.23 ( (less_or_equal @ additive_identity @ (add @ (additive_inverse @ a) @ b))),
% 4.35/1.23 inference('demod', [status(thm)], [zip_derived_cl409, zip_derived_cl26])).
% 4.35/1.23 thf(zip_derived_cl32, plain, ( (sum @ additive_identity @ a @ a)),
% 4.35/1.23 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl26])).
% 4.35/1.23 thf(zip_derived_cl23, plain,
% 4.35/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.35/1.23 ( (less_or_equal @ X0 @ X1)
% 4.35/1.23 | ~ (less_or_equal @ X2 @ X3)
% 4.35/1.23 | ~ (sum @ X2 @ X4 @ X0)
% 4.35/1.23 | ~ (sum @ X3 @ X4 @ X1))),
% 4.35/1.23 inference('cnf', [status(esa)],
% 4.35/1.23 [compatibility_of_order_relation_and_addition])).
% 4.35/1.23 thf(zip_derived_cl53, plain,
% 4.35/1.23 (![X0 : $i, X1 : $i]:
% 4.35/1.23 (~ (sum @ X1 @ a @ X0)
% 4.35/1.23 | ~ (less_or_equal @ additive_identity @ X1)
% 4.35/1.23 | (less_or_equal @ a @ X0))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl23])).
% 4.35/1.23 thf(zip_derived_cl417, plain,
% 4.35/1.23 (![X0 : $i]:
% 4.35/1.23 ( (less_or_equal @ a @ X0)
% 4.35/1.23 | ~ (sum @ (add @ (additive_inverse @ a) @ b) @ a @ X0))),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl53])).
% 4.35/1.23 thf(zip_derived_cl3351, plain, ( (less_or_equal @ a @ b)),
% 4.35/1.23 inference('sup-', [status(thm)], [zip_derived_cl3336, zip_derived_cl417])).
% 4.35/1.23 thf(zip_derived_cl3352, plain, ($false),
% 4.35/1.23 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl3351])).
% 4.35/1.23
% 4.35/1.23 % SZS output end Refutation
% 4.35/1.23
% 4.35/1.23
% 4.35/1.23 % Terminating...
% 5.07/1.36 % Runner terminated.
% 5.07/1.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------