%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD067-1 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KVWfM5CGVx true
% Computer : n028.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 04:33:22 PM UTC 2025
% Result : Unsatisfiable 3.52s 1.26s
% Output : Refutation 3.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.25 % Problem : FLD067-1 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.10/0.26 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KVWfM5CGVx true
% 0.13/0.46 % Computer : n028.cluster.edu
% 0.13/0.46 % Model : x86_64 x86_64
% 0.13/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.46 % Memory : 8042.1875MB
% 0.13/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.46 % CPULimit : 300
% 0.13/0.46 % WCLimit : 300
% 0.13/0.46 % DateTime : Wed Oct 1 18:24:53 EDT 2025
% 0.13/0.46 % CPUTime :
% 0.13/0.46 % Running portfolio for 300 s
% 0.13/0.46 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.46 % Number of cores: 8
% 0.13/0.46 % Python version: Python 3.6.8
% 0.13/0.46 % Running in FO mode
% 0.27/0.74 % Total configuration time : 435
% 0.27/0.74 % Estimated wc time : 1092
% 0.27/0.74 % Estimated cpu time (7 cpus) : 156.0
% 0.29/0.79 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.29/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.29/0.82 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.29/0.83 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.29/0.83 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.29/0.91 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.29/0.91 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.52/1.26 % Solved by fo/fo13.sh.
% 3.52/1.26 % done 324 iterations in 0.360s
% 3.52/1.26 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.52/1.26 % SZS output start Refutation
% 3.52/1.26 thf(defined_type, type, defined: $i > $o).
% 3.52/1.26 thf(additive_identity_type, type, additive_identity: $i).
% 3.52/1.26 thf(add_type, type, add: $i > $i > $i).
% 3.52/1.26 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 3.52/1.26 thf(b_type, type, b: $i).
% 3.52/1.26 thf(equalish_type, type, equalish: $i > $i > $o).
% 3.52/1.26 thf(a_type, type, a: $i).
% 3.52/1.26 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 3.52/1.26 thf(well_definedness_of_additive_inverse, axiom,
% 3.52/1.26 (( defined @ ( additive_inverse @ X ) ) | ( ~( defined @ X ) ))).
% 3.52/1.26 thf(zip_derived_cl11, plain,
% 3.52/1.26 (![X0 : $i]: ( (defined @ (additive_inverse @ X0)) | ~ (defined @ X0))),
% 3.52/1.26 inference('cnf', [status(esa)], [well_definedness_of_additive_inverse])).
% 3.52/1.26 thf(well_definedness_of_addition, axiom,
% 3.52/1.26 (( defined @ ( add @ X @ Y ) ) | ( ~( defined @ X ) ) |
% 3.52/1.26 ( ~( defined @ Y ) ))).
% 3.52/1.26 thf(zip_derived_cl9, plain,
% 3.52/1.26 (![X0 : $i, X1 : $i]:
% 3.52/1.26 ( (defined @ (add @ X0 @ X1)) | ~ (defined @ X0) | ~ (defined @ X1))),
% 3.52/1.26 inference('cnf', [status(esa)], [well_definedness_of_addition])).
% 3.52/1.26 thf(totality_of_order_relation, axiom,
% 3.52/1.26 (( less_or_equal @ X @ Y ) | ( less_or_equal @ Y @ X ) |
% 3.52/1.26 ( ~( defined @ X ) ) | ( ~( defined @ Y ) ))).
% 3.52/1.26 thf(zip_derived_cl17, plain,
% 3.52/1.26 (![X0 : $i, X1 : $i]:
% 3.52/1.26 ( (less_or_equal @ X0 @ X1)
% 3.52/1.26 | (less_or_equal @ X1 @ X0)
% 3.52/1.26 | ~ (defined @ X0)
% 3.52/1.26 | ~ (defined @ X1))),
% 3.52/1.26 inference('cnf', [status(esa)], [totality_of_order_relation])).
% 3.52/1.26 thf(zip_derived_cl219, plain,
% 3.52/1.26 (![X0 : $i]:
% 3.52/1.26 (~ (defined @ X0) | ~ (defined @ X0) | (less_or_equal @ X0 @ X0))),
% 3.52/1.26 inference('eq_fact', [status(thm)], [zip_derived_cl17])).
% 3.52/1.26 thf(zip_derived_cl221, plain,
% 3.52/1.26 (![X0 : $i]: ( (less_or_equal @ X0 @ X0) | ~ (defined @ X0))),
% 3.52/1.26 inference('simplify', [status(thm)], [zip_derived_cl219])).
% 3.52/1.26 thf(existence_of_inverse_addition, axiom,
% 3.52/1.26 (( equalish @ ( add @ X @ ( additive_inverse @ X ) ) @ additive_identity ) |
% 3.52/1.26 ( ~( defined @ X ) ))).
% 3.52/1.26 thf(zip_derived_cl2, plain,
% 3.52/1.26 (![X0 : $i]:
% 3.52/1.26 ( (equalish @ (add @ X0 @ (additive_inverse @ X0)) @ additive_identity)
% 3.52/1.26 | ~ (defined @ X0))),
% 3.52/1.26 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 3.52/1.26 thf(zip_derived_cl9, plain,
% 3.52/1.26 (![X0 : $i, X1 : $i]:
% 3.52/1.26 ( (defined @ (add @ X0 @ X1)) | ~ (defined @ X0) | ~ (defined @ X1))),
% 3.52/1.26 inference('cnf', [status(esa)], [well_definedness_of_addition])).
% 3.52/1.26 thf(less_or_equal_3, conjecture, (~( less_or_equal @ a @ b ))).
% 3.52/1.26 thf(zf_stmt_0, negated_conjecture, (less_or_equal @ a @ b),
% 3.52/1.26 inference('cnf.neg', [status(esa)], [less_or_equal_3])).
% 3.52/1.26 thf(zip_derived_cl29, plain, ( (less_or_equal @ a @ b)),
% 3.52/1.26 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.52/1.26 thf(zip_derived_cl11, plain,
% 3.52/1.26 (![X0 : $i]: ( (defined @ (additive_inverse @ X0)) | ~ (defined @ X0))),
% 3.52/1.26 inference('cnf', [status(esa)], [well_definedness_of_additive_inverse])).
% 3.52/1.26 thf(zip_derived_cl9, plain,
% 3.52/1.26 (![X0 : $i, X1 : $i]:
% 3.52/1.26 ( (defined @ (add @ X0 @ X1)) | ~ (defined @ X0) | ~ (defined @ X1))),
% 3.52/1.26 inference('cnf', [status(esa)], [well_definedness_of_addition])).
% 3.52/1.26 thf(existence_of_identity_addition, axiom,
% 3.52/1.26 (( equalish @ ( add @ additive_identity @ X ) @ X ) | ( ~( defined @ X ) ))).
% 3.52/1.26 thf(zip_derived_cl1, plain,
% 3.52/1.26 (![X0 : $i]:
% 3.52/1.26 ( (equalish @ (add @ additive_identity @ X0) @ X0) | ~ (defined @ X0))),
% 3.52/1.26 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 3.52/1.26 thf(zip_derived_cl1, plain,
% 3.52/1.26 (![X0 : $i]:
% 3.52/1.26 ( (equalish @ (add @ additive_identity @ X0) @ X0) | ~ (defined @ X0))),
% 3.52/1.26 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 3.52/1.26 thf(not_less_or_equal_4, conjecture,
% 3.52/1.26 (less_or_equal @ additive_identity @ ( add @ b @ ( additive_inverse @ a ) ))).
% 3.52/1.26 thf(zf_stmt_1, negated_conjecture,
% 3.52/1.26 (~( less_or_equal @
% 3.52/1.26 additive_identity @ ( add @ b @ ( additive_inverse @ a ) ) )),
% 3.52/1.26 inference('cnf.neg', [status(esa)], [not_less_or_equal_4])).
% 3.52/1.26 thf(zip_derived_cl30, plain,
% 3.52/1.26 (~ (less_or_equal @ additive_identity @
% 3.52/1.26 (add @ b @ (additive_inverse @ a)))),
% 3.52/1.26 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.52/1.26 thf(compatibility_of_equality_and_order_relation, axiom,
% 3.52/1.26 (( less_or_equal @ Y @ Z ) | ( ~( less_or_equal @ X @ Z ) ) |
% 3.52/1.26 ( ~( equalish @ X @ Y ) ))).
% 3.52/1.26 thf(zip_derived_cl25, plain,
% 3.52/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.26 ( (less_or_equal @ X0 @ X1)
% 3.52/1.26 | ~ (less_or_equal @ X2 @ X1)
% 3.52/1.26 | ~ (equalish @ X2 @ X0))),
% 3.52/1.26 inference('cnf', [status(esa)],
% 3.52/1.26 [compatibility_of_equality_and_order_relation])).
% 3.52/1.26 thf(zip_derived_cl44, plain,
% 3.52/1.26 (![X0 : $i]:
% 3.52/1.26 (~ (less_or_equal @ X0 @ (add @ b @ (additive_inverse @ a)))
% 3.52/1.26 | ~ (equalish @ X0 @ additive_identity))),
% 3.52/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl25])).
% 3.52/1.26 thf(zip_derived_cl51, plain,
% 3.52/1.26 ((~ (defined @ additive_identity)
% 3.52/1.26 | ~ (less_or_equal @ (add @ additive_identity @ additive_identity) @
% 3.52/1.26 (add @ b @ (additive_inverse @ a))))),
% 3.52/1.26 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl44])).
% 3.52/1.26 thf(well_definedness_of_additive_identity, axiom,
% 3.52/1.26 (defined @ additive_identity)).
% 3.52/1.26 thf(zip_derived_cl10, plain, ( (defined @ additive_identity)),
% 3.52/1.26 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 3.52/1.26 thf(zip_derived_cl54, plain,
% 3.52/1.26 (~ (less_or_equal @ (add @ additive_identity @ additive_identity) @
% 3.52/1.26 (add @ b @ (additive_inverse @ a)))),
% 3.52/1.26 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl10])).
% 3.52/1.26 thf(zip_derived_cl25, plain,
% 3.52/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.26 ( (less_or_equal @ X0 @ X1)
% 3.52/1.26 | ~ (less_or_equal @ X2 @ X1)
% 3.52/1.26 | ~ (equalish @ X2 @ X0))),
% 3.52/1.26 inference('cnf', [status(esa)],
% 3.52/1.26 [compatibility_of_equality_and_order_relation])).
% 3.52/1.26 thf(zip_derived_cl56, plain,
% 3.52/1.26 (![X0 : $i]:
% 3.52/1.26 (~ (less_or_equal @ X0 @ (add @ b @ (additive_inverse @ a)))
% 3.52/1.26 | ~ (equalish @ X0 @ (add @ additive_identity @ additive_identity)))),
% 3.52/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl25])).
% 3.52/1.26 thf(zip_derived_cl59, plain,
% 3.52/1.26 ((~ (defined @ (add @ additive_identity @ additive_identity))
% 3.52/1.26 | ~ (less_or_equal @
% 3.52/1.26 (add @ additive_identity @
% 3.52/1.26 (add @ additive_identity @ additive_identity)) @
% 3.52/1.26 (add @ b @ (additive_inverse @ a))))),
% 3.52/1.26 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl56])).
% 3.52/1.26 thf(zip_derived_cl70, plain,
% 3.52/1.26 ((~ (defined @ additive_identity)
% 3.52/1.26 | ~ (defined @ additive_identity)
% 3.52/1.26 | ~ (less_or_equal @
% 3.52/1.26 (add @ additive_identity @
% 3.52/1.26 (add @ additive_identity @ additive_identity)) @
% 3.52/1.26 (add @ b @ (additive_inverse @ a))))),
% 3.52/1.26 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl59])).
% 3.52/1.26 thf(zip_derived_cl10, plain, ( (defined @ additive_identity)),
% 3.52/1.26 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 3.52/1.26 thf(zip_derived_cl10, plain, ( (defined @ additive_identity)),
% 3.52/1.26 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 3.52/1.26 thf(zip_derived_cl71, plain,
% 3.52/1.26 (~ (less_or_equal @
% 3.52/1.26 (add @ additive_identity @
% 3.52/1.26 (add @ additive_identity @ additive_identity)) @
% 3.52/1.26 (add @ b @ (additive_inverse @ a)))),
% 3.52/1.26 inference('demod', [status(thm)],
% 3.52/1.26 [zip_derived_cl70, zip_derived_cl10, zip_derived_cl10])).
% 3.52/1.26 thf(transitivity_of_order_relation, axiom,
% 3.52/1.26 (( less_or_equal @ X @ Z ) | ( ~( less_or_equal @ X @ Y ) ) |
% 3.52/1.26 ( ~( less_or_equal @ Y @ Z ) ))).
% 3.52/1.26 thf(zip_derived_cl16, plain,
% 3.52/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.26 ( (less_or_equal @ X0 @ X1)
% 3.52/1.26 | ~ (less_or_equal @ X0 @ X2)
% 3.52/1.26 | ~ (less_or_equal @ X2 @ X1))),
% 3.52/1.26 inference('cnf', [status(esa)], [transitivity_of_order_relation])).
% 3.52/1.26 thf(zip_derived_cl72, plain,
% 3.52/1.26 (![X0 : $i]:
% 3.52/1.26 (~ (less_or_equal @
% 3.52/1.26 (add @ additive_identity @
% 3.52/1.26 (add @ additive_identity @ additive_identity)) @
% 3.52/1.26 X0)
% 3.52/1.26 | ~ (less_or_equal @ X0 @ (add @ b @ (additive_inverse @ a))))),
% 3.52/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl16])).
% 3.52/1.26 thf(compatibility_of_order_relation_and_addition, axiom,
% 3.52/1.26 (( less_or_equal @ ( add @ X @ Z ) @ ( add @ Y @ Z ) ) |
% 3.52/1.26 ( ~( defined @ Z ) ) | ( ~( less_or_equal @ X @ Y ) ))).
% 3.52/1.26 thf(zip_derived_cl18, plain,
% 3.52/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.26 ( (less_or_equal @ (add @ X0 @ X1) @ (add @ X2 @ X1))
% 3.52/1.26 | ~ (defined @ X1)
% 3.52/1.26 | ~ (less_or_equal @ X0 @ X2))),
% 3.52/1.26 inference('cnf', [status(esa)],
% 3.52/1.26 [compatibility_of_order_relation_and_addition])).
% 3.52/1.26 thf(zip_derived_cl264, plain,
% 3.52/1.26 (![X0 : $i]:
% 3.52/1.26 (~ (less_or_equal @
% 3.52/1.26 (add @ additive_identity @
% 3.52/1.26 (add @ additive_identity @ additive_identity)) @
% 3.52/1.26 (add @ X0 @ (additive_inverse @ a)))
% 3.52/1.26 | ~ (defined @ (additive_inverse @ a))
% 3.52/1.26 | ~ (less_or_equal @ X0 @ b))),
% 3.52/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl18])).
% 3.52/1.26 thf(zip_derived_cl350, plain,
% 3.52/1.26 (![X0 : $i]:
% 3.52/1.26 (~ (defined @ a)
% 3.52/1.26 | ~ (less_or_equal @
% 3.52/1.26 (add @ additive_identity @
% 3.52/1.26 (add @ additive_identity @ additive_identity)) @
% 3.52/1.26 (add @ X0 @ (additive_inverse @ a)))
% 3.52/1.26 | ~ (less_or_equal @ X0 @ b))),
% 3.52/1.26 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl264])).
% 3.52/1.26 thf(a_is_defined, axiom, (defined @ a)).
% 3.52/1.26 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 3.52/1.26 inference('cnf', [status(esa)], [a_is_defined])).
% 3.52/1.26 thf(zip_derived_cl351, plain,
% 3.52/1.26 (![X0 : $i]:
% 3.52/1.26 (~ (less_or_equal @
% 3.52/1.26 (add @ additive_identity @
% 3.52/1.26 (add @ additive_identity @ additive_identity)) @
% 3.52/1.26 (add @ X0 @ (additive_inverse @ a)))
% 3.52/1.26 | ~ (less_or_equal @ X0 @ b))),
% 3.52/1.26 inference('demod', [status(thm)], [zip_derived_cl350, zip_derived_cl27])).
% 3.52/1.26 thf(zip_derived_cl358, plain,
% 3.52/1.26 (~ (less_or_equal @
% 3.52/1.26 (add @ additive_identity @
% 3.52/1.26 (add @ additive_identity @ additive_identity)) @
% 3.52/1.26 (add @ a @ (additive_inverse @ a)))),
% 3.52/1.26 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl351])).
% 3.52/1.26 thf(zip_derived_cl1, plain,
% 3.52/1.26 (![X0 : $i]:
% 3.52/1.26 ( (equalish @ (add @ additive_identity @ X0) @ X0) | ~ (defined @ X0))),
% 3.52/1.26 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 3.52/1.26 thf(symmetry_of_equality, axiom,
% 3.52/1.26 (( equalish @ X @ Y ) | ( ~( equalish @ Y @ X ) ))).
% 3.52/1.26 thf(zip_derived_cl21, plain,
% 3.52/1.26 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 3.52/1.26 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 3.52/1.26 thf(zip_derived_cl36, plain,
% 3.52/1.26 (![X0 : $i]:
% 3.52/1.26 (~ (defined @ X0) | (equalish @ X0 @ (add @ additive_identity @ X0)))),
% 3.52/1.26 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 3.52/1.26 thf(zip_derived_cl25, plain,
% 3.52/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.26 ( (less_or_equal @ X0 @ X1)
% 3.52/1.26 | ~ (less_or_equal @ X2 @ X1)
% 3.52/1.26 | ~ (equalish @ X2 @ X0))),
% 3.52/1.26 inference('cnf', [status(esa)],
% 3.52/1.26 [compatibility_of_equality_and_order_relation])).
% 3.52/1.26 thf(zip_derived_cl46, plain,
% 3.52/1.26 (![X0 : $i, X1 : $i]:
% 3.52/1.26 (~ (defined @ X0)
% 3.52/1.26 | (less_or_equal @ (add @ additive_identity @ X0) @ X1)
% 3.52/1.26 | ~ (less_or_equal @ X0 @ X1))),
% 3.52/1.26 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl25])).
% 3.52/1.26 thf(zip_derived_cl378, plain,
% 3.52/1.26 ((~ (defined @ (add @ additive_identity @ additive_identity))
% 3.52/1.26 | ~ (less_or_equal @ (add @ additive_identity @ additive_identity) @
% 3.52/1.26 (add @ a @ (additive_inverse @ a))))),
% 3.52/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl358, zip_derived_cl46])).
% 3.52/1.26 thf(zip_derived_cl379, plain,
% 3.52/1.26 ((~ (defined @ additive_identity)
% 3.52/1.26 | ~ (defined @ additive_identity)
% 3.52/1.26 | ~ (less_or_equal @ (add @ additive_identity @ additive_identity) @
% 3.52/1.26 (add @ a @ (additive_inverse @ a))))),
% 3.52/1.26 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl378])).
% 3.52/1.26 thf(zip_derived_cl10, plain, ( (defined @ additive_identity)),
% 3.52/1.26 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 3.52/1.26 thf(zip_derived_cl10, plain, ( (defined @ additive_identity)),
% 3.52/1.26 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 3.52/1.26 thf(zip_derived_cl380, plain,
% 3.52/1.26 (~ (less_or_equal @ (add @ additive_identity @ additive_identity) @
% 3.52/1.26 (add @ a @ (additive_inverse @ a)))),
% 3.52/1.26 inference('demod', [status(thm)],
% 3.52/1.26 [zip_derived_cl379, zip_derived_cl10, zip_derived_cl10])).
% 3.52/1.26 thf(zip_derived_cl46, plain,
% 3.52/1.26 (![X0 : $i, X1 : $i]:
% 3.52/1.26 (~ (defined @ X0)
% 3.52/1.26 | (less_or_equal @ (add @ additive_identity @ X0) @ X1)
% 3.52/1.26 | ~ (less_or_equal @ X0 @ X1))),
% 3.52/1.26 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl25])).
% 3.52/1.26 thf(zip_derived_cl383, plain,
% 3.52/1.26 ((~ (defined @ additive_identity)
% 3.52/1.26 | ~ (less_or_equal @ additive_identity @
% 3.52/1.26 (add @ a @ (additive_inverse @ a))))),
% 3.52/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl380, zip_derived_cl46])).
% 3.52/1.26 thf(zip_derived_cl10, plain, ( (defined @ additive_identity)),
% 3.52/1.26 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 3.52/1.26 thf(zip_derived_cl384, plain,
% 3.52/1.26 (~ (less_or_equal @ additive_identity @
% 3.52/1.26 (add @ a @ (additive_inverse @ a)))),
% 3.52/1.26 inference('demod', [status(thm)], [zip_derived_cl383, zip_derived_cl10])).
% 3.52/1.26 thf(zip_derived_cl25, plain,
% 3.52/1.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.26 ( (less_or_equal @ X0 @ X1)
% 3.52/1.26 | ~ (less_or_equal @ X2 @ X1)
% 3.52/1.26 | ~ (equalish @ X2 @ X0))),
% 3.52/1.26 inference('cnf', [status(esa)],
% 3.52/1.26 [compatibility_of_equality_and_order_relation])).
% 3.52/1.26 thf(zip_derived_cl386, plain,
% 3.52/1.26 (![X0 : $i]:
% 3.52/1.26 (~ (less_or_equal @ X0 @ (add @ a @ (additive_inverse @ a)))
% 3.52/1.26 | ~ (equalish @ X0 @ additive_identity))),
% 3.52/1.26 inference('s_sup+', [status(thm)], [zip_derived_cl384, zip_derived_cl25])).
% 3.52/1.26 thf(zip_derived_cl433, plain,
% 3.52/1.26 (![X0 : $i]:
% 3.52/1.26 (~ (defined @ X0)
% 3.52/1.26 | ~ (less_or_equal @ (add @ X0 @ (additive_inverse @ X0)) @
% 3.52/1.26 (add @ a @ (additive_inverse @ a))))),
% 3.52/1.26 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl386])).
% 3.52/1.26 thf(zip_derived_cl1193, plain,
% 3.52/1.26 ((~ (defined @ (add @ a @ (additive_inverse @ a))) | ~ (defined @ a))),
% 3.52/1.26 inference('s_sup-', [status(thm)], [zip_derived_cl221, zip_derived_cl433])).
% 3.52/1.26 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 3.52/1.26 inference('cnf', [status(esa)], [a_is_defined])).
% 3.52/1.26 thf(zip_derived_cl1194, plain,
% 3.52/1.26 (~ (defined @ (add @ a @ (additive_inverse @ a)))),
% 3.52/1.26 inference('demod', [status(thm)], [zip_derived_cl1193, zip_derived_cl27])).
% 3.52/1.26 thf(zip_derived_cl1196, plain,
% 3.52/1.26 ((~ (defined @ (additive_inverse @ a)) | ~ (defined @ a))),
% 3.52/1.26 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl1194])).
% 3.52/1.26 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 3.52/1.26 inference('cnf', [status(esa)], [a_is_defined])).
% 3.52/1.26 thf(zip_derived_cl1197, plain, (~ (defined @ (additive_inverse @ a))),
% 3.52/1.26 inference('demod', [status(thm)], [zip_derived_cl1196, zip_derived_cl27])).
% 3.52/1.26 thf(zip_derived_cl1207, plain, (~ (defined @ a)),
% 3.52/1.26 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl1197])).
% 3.52/1.26 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 3.52/1.26 inference('cnf', [status(esa)], [a_is_defined])).
% 3.52/1.26 thf(zip_derived_cl1208, plain, ($false),
% 3.52/1.26 inference('demod', [status(thm)], [zip_derived_cl1207, zip_derived_cl27])).
% 3.52/1.26
% 3.52/1.26 % SZS output end Refutation
% 3.52/1.26
% 3.52/1.26
% 3.52/1.27 % Terminating...
% 3.89/1.44 % Runner terminated.
% 3.89/1.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------