TSTP Solution File: FLD067-2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD067-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6Yh7dl7AX8 true
% Computer : n020.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 22:39:37 EDT 2023
% Result : Unsatisfiable 24.01s 4.09s
% Output : Refutation 24.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD067-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6Yh7dl7AX8 true
% 0.14/0.34 % Computer : n020.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 00:10:44 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/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
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 24.01/4.09 % Solved by fo/fo5.sh.
% 24.01/4.09 % done 5838 iterations in 3.280s
% 24.01/4.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 24.01/4.09 % SZS output start Refutation
% 24.01/4.09 thf(defined_type, type, defined: $i > $o).
% 24.01/4.09 thf(additive_identity_type, type, additive_identity: $i).
% 24.01/4.09 thf(add_type, type, add: $i > $i > $i).
% 24.01/4.09 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 24.01/4.09 thf(b_type, type, b: $i).
% 24.01/4.09 thf(u_type, type, u: $i).
% 24.01/4.09 thf(equalish_type, type, equalish: $i > $i > $o).
% 24.01/4.09 thf(a_type, type, a: $i).
% 24.01/4.09 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 24.01/4.09 thf(not_less_or_equal_6, conjecture, (less_or_equal @ additive_identity @ u)).
% 24.01/4.09 thf(zf_stmt_0, negated_conjecture,
% 24.01/4.09 (~( less_or_equal @ additive_identity @ u )),
% 24.01/4.09 inference('cnf.neg', [status(esa)], [not_less_or_equal_6])).
% 24.01/4.09 thf(zip_derived_cl32, plain, (~ (less_or_equal @ additive_identity @ u)),
% 24.01/4.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 24.01/4.09 thf(totality_of_order_relation, axiom,
% 24.01/4.09 (( less_or_equal @ X @ Y ) | ( less_or_equal @ Y @ X ) |
% 24.01/4.09 ( ~( defined @ X ) ) | ( ~( defined @ Y ) ))).
% 24.01/4.09 thf(zip_derived_cl17, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i]:
% 24.01/4.09 ( (less_or_equal @ X0 @ X1)
% 24.01/4.09 | (less_or_equal @ X1 @ X0)
% 24.01/4.09 | ~ (defined @ X0)
% 24.01/4.09 | ~ (defined @ X1))),
% 24.01/4.09 inference('cnf', [status(esa)], [totality_of_order_relation])).
% 24.01/4.09 thf(zip_derived_cl429, plain,
% 24.01/4.09 (![X0 : $i]:
% 24.01/4.09 (~ (defined @ X0) | ~ (defined @ X0) | (less_or_equal @ X0 @ X0))),
% 24.01/4.09 inference('eq_fact', [status(thm)], [zip_derived_cl17])).
% 24.01/4.09 thf(zip_derived_cl433, plain,
% 24.01/4.09 (![X0 : $i]: ( (less_or_equal @ X0 @ X0) | ~ (defined @ X0))),
% 24.01/4.09 inference('simplify', [status(thm)], [zip_derived_cl429])).
% 24.01/4.09 thf(existence_of_identity_addition, axiom,
% 24.01/4.09 (( equalish @ ( add @ additive_identity @ X ) @ X ) | ( ~( defined @ X ) ))).
% 24.01/4.09 thf(zip_derived_cl1, plain,
% 24.01/4.09 (![X0 : $i]:
% 24.01/4.09 ( (equalish @ (add @ additive_identity @ X0) @ X0) | ~ (defined @ X0))),
% 24.01/4.09 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 24.01/4.09 thf(symmetry_of_equality, axiom,
% 24.01/4.09 (( equalish @ X @ Y ) | ( ~( equalish @ Y @ X ) ))).
% 24.01/4.09 thf(zip_derived_cl21, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 24.01/4.09 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 24.01/4.09 thf(zip_derived_cl39, plain,
% 24.01/4.09 (![X0 : $i]:
% 24.01/4.09 (~ (defined @ X0) | (equalish @ X0 @ (add @ additive_identity @ X0)))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 24.01/4.09 thf(add_equals_u_5, conjecture,
% 24.01/4.09 (~( equalish @ ( add @ b @ ( additive_inverse @ a ) ) @ u ))).
% 24.01/4.09 thf(zf_stmt_1, negated_conjecture,
% 24.01/4.09 (equalish @ ( add @ b @ ( additive_inverse @ a ) ) @ u),
% 24.01/4.09 inference('cnf.neg', [status(esa)], [add_equals_u_5])).
% 24.01/4.09 thf(zip_derived_cl31, plain,
% 24.01/4.09 ( (equalish @ (add @ b @ (additive_inverse @ a)) @ u)),
% 24.01/4.09 inference('cnf', [status(esa)], [zf_stmt_1])).
% 24.01/4.09 thf(transitivity_of_equality, axiom,
% 24.01/4.09 (( equalish @ X @ Z ) | ( ~( equalish @ X @ Y ) ) |
% 24.01/4.09 ( ~( equalish @ Y @ Z ) ))).
% 24.01/4.09 thf(zip_derived_cl22, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 24.01/4.09 ( (equalish @ X0 @ X1)
% 24.01/4.09 | ~ (equalish @ X0 @ X2)
% 24.01/4.09 | ~ (equalish @ X2 @ X1))),
% 24.01/4.09 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 24.01/4.09 thf(zip_derived_cl48, plain,
% 24.01/4.09 (![X0 : $i]:
% 24.01/4.09 (~ (equalish @ u @ X0)
% 24.01/4.09 | (equalish @ (add @ b @ (additive_inverse @ a)) @ X0))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl22])).
% 24.01/4.09 thf(zip_derived_cl67, plain,
% 24.01/4.09 ((~ (defined @ u)
% 24.01/4.09 | (equalish @ (add @ b @ (additive_inverse @ a)) @
% 24.01/4.09 (add @ additive_identity @ u)))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl48])).
% 24.01/4.09 thf(u_is_defined, axiom, (defined @ u)).
% 24.01/4.09 thf(zip_derived_cl29, plain, ( (defined @ u)),
% 24.01/4.09 inference('cnf', [status(esa)], [u_is_defined])).
% 24.01/4.09 thf(zip_derived_cl68, plain,
% 24.01/4.09 ( (equalish @ (add @ b @ (additive_inverse @ a)) @
% 24.01/4.09 (add @ additive_identity @ u))),
% 24.01/4.09 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl29])).
% 24.01/4.09 thf(zip_derived_cl31, plain,
% 24.01/4.09 ( (equalish @ (add @ b @ (additive_inverse @ a)) @ u)),
% 24.01/4.09 inference('cnf', [status(esa)], [zf_stmt_1])).
% 24.01/4.09 thf(zip_derived_cl21, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 24.01/4.09 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 24.01/4.09 thf(zip_derived_cl34, plain,
% 24.01/4.09 ( (equalish @ u @ (add @ b @ (additive_inverse @ a)))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl21])).
% 24.01/4.09 thf(zip_derived_cl22, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 24.01/4.09 ( (equalish @ X0 @ X1)
% 24.01/4.09 | ~ (equalish @ X0 @ X2)
% 24.01/4.09 | ~ (equalish @ X2 @ X1))),
% 24.01/4.09 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 24.01/4.09 thf(zip_derived_cl49, plain,
% 24.01/4.09 (![X0 : $i]:
% 24.01/4.09 (~ (equalish @ (add @ b @ (additive_inverse @ a)) @ X0)
% 24.01/4.09 | (equalish @ u @ X0))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl22])).
% 24.01/4.09 thf(zip_derived_cl93, plain,
% 24.01/4.09 ( (equalish @ u @ (add @ additive_identity @ u))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl49])).
% 24.01/4.09 thf(compatibility_of_equality_and_order_relation, axiom,
% 24.01/4.09 (( less_or_equal @ Y @ Z ) | ( ~( less_or_equal @ X @ Z ) ) |
% 24.01/4.09 ( ~( equalish @ X @ Y ) ))).
% 24.01/4.09 thf(zip_derived_cl25, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 24.01/4.09 ( (less_or_equal @ X0 @ X1)
% 24.01/4.09 | ~ (less_or_equal @ X2 @ X1)
% 24.01/4.09 | ~ (equalish @ X2 @ X0))),
% 24.01/4.09 inference('cnf', [status(esa)],
% 24.01/4.09 [compatibility_of_equality_and_order_relation])).
% 24.01/4.09 thf(zip_derived_cl813, plain,
% 24.01/4.09 (![X0 : $i]:
% 24.01/4.09 (~ (less_or_equal @ u @ X0)
% 24.01/4.09 | (less_or_equal @ (add @ additive_identity @ u) @ X0))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl25])).
% 24.01/4.09 thf(zip_derived_cl1172, plain,
% 24.01/4.09 ((~ (defined @ u) | (less_or_equal @ (add @ additive_identity @ u) @ u))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl433, zip_derived_cl813])).
% 24.01/4.09 thf(zip_derived_cl29, plain, ( (defined @ u)),
% 24.01/4.09 inference('cnf', [status(esa)], [u_is_defined])).
% 24.01/4.09 thf(zip_derived_cl1183, plain,
% 24.01/4.09 ( (less_or_equal @ (add @ additive_identity @ u) @ u)),
% 24.01/4.09 inference('demod', [status(thm)], [zip_derived_cl1172, zip_derived_cl29])).
% 24.01/4.09 thf(zip_derived_cl93, plain,
% 24.01/4.09 ( (equalish @ u @ (add @ additive_identity @ u))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl49])).
% 24.01/4.09 thf(zip_derived_cl21, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 24.01/4.09 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 24.01/4.09 thf(zip_derived_cl94, plain,
% 24.01/4.09 ( (equalish @ (add @ additive_identity @ u) @ u)),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl21])).
% 24.01/4.09 thf(zip_derived_cl25, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 24.01/4.09 ( (less_or_equal @ X0 @ X1)
% 24.01/4.09 | ~ (less_or_equal @ X2 @ X1)
% 24.01/4.09 | ~ (equalish @ X2 @ X0))),
% 24.01/4.09 inference('cnf', [status(esa)],
% 24.01/4.09 [compatibility_of_equality_and_order_relation])).
% 24.01/4.09 thf(zip_derived_cl788, plain,
% 24.01/4.09 (![X0 : $i]:
% 24.01/4.09 (~ (less_or_equal @ (add @ additive_identity @ u) @ X0)
% 24.01/4.09 | (less_or_equal @ u @ X0))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl25])).
% 24.01/4.09 thf(zip_derived_cl1207, plain, ( (less_or_equal @ u @ u)),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl1183, zip_derived_cl788])).
% 24.01/4.09 thf(zip_derived_cl17, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i]:
% 24.01/4.09 ( (less_or_equal @ X0 @ X1)
% 24.01/4.09 | (less_or_equal @ X1 @ X0)
% 24.01/4.09 | ~ (defined @ X0)
% 24.01/4.09 | ~ (defined @ X1))),
% 24.01/4.09 inference('cnf', [status(esa)], [totality_of_order_relation])).
% 24.01/4.09 thf(zip_derived_cl32, plain, (~ (less_or_equal @ additive_identity @ u)),
% 24.01/4.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 24.01/4.09 thf(zip_derived_cl385, plain,
% 24.01/4.09 ((~ (defined @ u)
% 24.01/4.09 | ~ (defined @ additive_identity)
% 24.01/4.09 | (less_or_equal @ u @ additive_identity))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl32])).
% 24.01/4.09 thf(zip_derived_cl29, plain, ( (defined @ u)),
% 24.01/4.09 inference('cnf', [status(esa)], [u_is_defined])).
% 24.01/4.09 thf(well_definedness_of_additive_identity, axiom,
% 24.01/4.09 (defined @ additive_identity)).
% 24.01/4.09 thf(zip_derived_cl10, plain, ( (defined @ additive_identity)),
% 24.01/4.09 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 24.01/4.09 thf(zip_derived_cl437, plain, ( (less_or_equal @ u @ additive_identity)),
% 24.01/4.09 inference('demod', [status(thm)],
% 24.01/4.09 [zip_derived_cl385, zip_derived_cl29, zip_derived_cl10])).
% 24.01/4.09 thf(zip_derived_cl34, plain,
% 24.01/4.09 ( (equalish @ u @ (add @ b @ (additive_inverse @ a)))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl21])).
% 24.01/4.09 thf(zip_derived_cl25, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 24.01/4.09 ( (less_or_equal @ X0 @ X1)
% 24.01/4.09 | ~ (less_or_equal @ X2 @ X1)
% 24.01/4.09 | ~ (equalish @ X2 @ X0))),
% 24.01/4.09 inference('cnf', [status(esa)],
% 24.01/4.09 [compatibility_of_equality_and_order_relation])).
% 24.01/4.09 thf(zip_derived_cl812, plain,
% 24.01/4.09 (![X0 : $i]:
% 24.01/4.09 (~ (less_or_equal @ u @ X0)
% 24.01/4.09 | (less_or_equal @ (add @ b @ (additive_inverse @ a)) @ X0))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl25])).
% 24.01/4.09 thf(zip_derived_cl1633, plain,
% 24.01/4.09 ( (less_or_equal @ (add @ b @ (additive_inverse @ a)) @ additive_identity)),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl437, zip_derived_cl812])).
% 24.01/4.09 thf(antisymmetry_of_order_relation, axiom,
% 24.01/4.09 (( equalish @ X @ Y ) | ( ~( less_or_equal @ X @ Y ) ) |
% 24.01/4.09 ( ~( less_or_equal @ Y @ X ) ))).
% 24.01/4.09 thf(zip_derived_cl15, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i]:
% 24.01/4.09 ( (equalish @ X0 @ X1)
% 24.01/4.09 | ~ (less_or_equal @ X0 @ X1)
% 24.01/4.09 | ~ (less_or_equal @ X1 @ X0))),
% 24.01/4.09 inference('cnf', [status(esa)], [antisymmetry_of_order_relation])).
% 24.01/4.09 thf(zip_derived_cl1666, plain,
% 24.01/4.09 ((~ (less_or_equal @ additive_identity @
% 24.01/4.09 (add @ b @ (additive_inverse @ a)))
% 24.01/4.09 | (equalish @ (add @ b @ (additive_inverse @ a)) @ additive_identity))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl1633, zip_derived_cl15])).
% 24.01/4.09 thf(well_definedness_of_additive_inverse, axiom,
% 24.01/4.09 (( defined @ ( additive_inverse @ X ) ) | ( ~( defined @ X ) ))).
% 24.01/4.09 thf(zip_derived_cl11, plain,
% 24.01/4.09 (![X0 : $i]: ( (defined @ (additive_inverse @ X0)) | ~ (defined @ X0))),
% 24.01/4.09 inference('cnf', [status(esa)], [well_definedness_of_additive_inverse])).
% 24.01/4.09 thf(less_or_equal_4, conjecture, (~( less_or_equal @ a @ b ))).
% 24.01/4.09 thf(zf_stmt_2, negated_conjecture, (less_or_equal @ a @ b),
% 24.01/4.09 inference('cnf.neg', [status(esa)], [less_or_equal_4])).
% 24.01/4.09 thf(zip_derived_cl30, plain, ( (less_or_equal @ a @ b)),
% 24.01/4.09 inference('cnf', [status(esa)], [zf_stmt_2])).
% 24.01/4.09 thf(compatibility_of_order_relation_and_addition, axiom,
% 24.01/4.09 (( less_or_equal @ ( add @ X @ Z ) @ ( add @ Y @ Z ) ) |
% 24.01/4.09 ( ~( defined @ Z ) ) | ( ~( less_or_equal @ X @ Y ) ))).
% 24.01/4.09 thf(zip_derived_cl18, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 24.01/4.09 ( (less_or_equal @ (add @ X0 @ X1) @ (add @ X2 @ X1))
% 24.01/4.09 | ~ (defined @ X1)
% 24.01/4.09 | ~ (less_or_equal @ X0 @ X2))),
% 24.01/4.09 inference('cnf', [status(esa)],
% 24.01/4.09 [compatibility_of_order_relation_and_addition])).
% 24.01/4.09 thf(zip_derived_cl492, plain,
% 24.01/4.09 (![X0 : $i]:
% 24.01/4.09 (~ (defined @ X0) | (less_or_equal @ (add @ a @ X0) @ (add @ b @ X0)))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl18])).
% 24.01/4.09 thf(existence_of_inverse_addition, axiom,
% 24.01/4.09 (( equalish @ ( add @ X @ ( additive_inverse @ X ) ) @ additive_identity ) |
% 24.01/4.09 ( ~( defined @ X ) ))).
% 24.01/4.09 thf(zip_derived_cl2, plain,
% 24.01/4.09 (![X0 : $i]:
% 24.01/4.09 ( (equalish @ (add @ X0 @ (additive_inverse @ X0)) @ additive_identity)
% 24.01/4.09 | ~ (defined @ X0))),
% 24.01/4.09 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 24.01/4.09 thf(zip_derived_cl25, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 24.01/4.09 ( (less_or_equal @ X0 @ X1)
% 24.01/4.09 | ~ (less_or_equal @ X2 @ X1)
% 24.01/4.09 | ~ (equalish @ X2 @ X0))),
% 24.01/4.09 inference('cnf', [status(esa)],
% 24.01/4.09 [compatibility_of_equality_and_order_relation])).
% 24.01/4.09 thf(zip_derived_cl770, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i]:
% 24.01/4.09 (~ (defined @ X0)
% 24.01/4.09 | ~ (less_or_equal @ (add @ X0 @ (additive_inverse @ X0)) @ X1)
% 24.01/4.09 | (less_or_equal @ additive_identity @ X1))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl25])).
% 24.01/4.09 thf(zip_derived_cl29682, plain,
% 24.01/4.09 ((~ (defined @ (additive_inverse @ a))
% 24.01/4.09 | (less_or_equal @ additive_identity @
% 24.01/4.09 (add @ b @ (additive_inverse @ a)))
% 24.01/4.09 | ~ (defined @ a))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl492, zip_derived_cl770])).
% 24.01/4.09 thf(a_is_defined, axiom, (defined @ a)).
% 24.01/4.09 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 24.01/4.09 inference('cnf', [status(esa)], [a_is_defined])).
% 24.01/4.09 thf(zip_derived_cl29696, plain,
% 24.01/4.09 ((~ (defined @ (additive_inverse @ a))
% 24.01/4.09 | (less_or_equal @ additive_identity @
% 24.01/4.09 (add @ b @ (additive_inverse @ a))))),
% 24.01/4.09 inference('demod', [status(thm)], [zip_derived_cl29682, zip_derived_cl27])).
% 24.01/4.09 thf(zip_derived_cl30280, plain,
% 24.01/4.09 ((~ (defined @ a)
% 24.01/4.09 | (less_or_equal @ additive_identity @
% 24.01/4.09 (add @ b @ (additive_inverse @ a))))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl29696])).
% 24.01/4.09 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 24.01/4.09 inference('cnf', [status(esa)], [a_is_defined])).
% 24.01/4.09 thf(zip_derived_cl30281, plain,
% 24.01/4.09 ( (less_or_equal @ additive_identity @ (add @ b @ (additive_inverse @ a)))),
% 24.01/4.09 inference('demod', [status(thm)], [zip_derived_cl30280, zip_derived_cl27])).
% 24.01/4.09 thf(zip_derived_cl30282, plain,
% 24.01/4.09 ( (equalish @ (add @ b @ (additive_inverse @ a)) @ additive_identity)),
% 24.01/4.09 inference('demod', [status(thm)],
% 24.01/4.09 [zip_derived_cl1666, zip_derived_cl30281])).
% 24.01/4.09 thf(zip_derived_cl49, plain,
% 24.01/4.09 (![X0 : $i]:
% 24.01/4.09 (~ (equalish @ (add @ b @ (additive_inverse @ a)) @ X0)
% 24.01/4.09 | (equalish @ u @ X0))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl22])).
% 24.01/4.09 thf(zip_derived_cl30338, plain, ( (equalish @ u @ additive_identity)),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl30282, zip_derived_cl49])).
% 24.01/4.09 thf(zip_derived_cl25, plain,
% 24.01/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 24.01/4.09 ( (less_or_equal @ X0 @ X1)
% 24.01/4.09 | ~ (less_or_equal @ X2 @ X1)
% 24.01/4.09 | ~ (equalish @ X2 @ X0))),
% 24.01/4.09 inference('cnf', [status(esa)],
% 24.01/4.09 [compatibility_of_equality_and_order_relation])).
% 24.01/4.09 thf(zip_derived_cl30350, plain,
% 24.01/4.09 (![X0 : $i]:
% 24.01/4.09 (~ (less_or_equal @ u @ X0)
% 24.01/4.09 | (less_or_equal @ additive_identity @ X0))),
% 24.01/4.09 inference('sup-', [status(thm)], [zip_derived_cl30338, zip_derived_cl25])).
% 24.01/4.09 thf(zip_derived_cl30763, plain, ( (less_or_equal @ additive_identity @ u)),
% 24.01/4.09 inference('sup-', [status(thm)],
% 24.01/4.09 [zip_derived_cl1207, zip_derived_cl30350])).
% 24.01/4.09 thf(zip_derived_cl30773, plain, ($false),
% 24.01/4.09 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl30763])).
% 24.01/4.09
% 24.01/4.09 % SZS output end Refutation
% 24.01/4.09
% 24.01/4.09
% 24.01/4.09 % Terminating...
% 24.36/4.20 % Runner terminated.
% 24.36/4.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------