TSTP Solution File: FLD071-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD071-2 : 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.gRomiGdwVV true
% Computer : n017.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 22:39:40 EDT 2023
% Result : Unsatisfiable 1.27s 0.82s
% Output : Refutation 1.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : FLD071-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gRomiGdwVV true
% 0.15/0.37 % Computer : n017.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Aug 28 00:12:57 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.96/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.96/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.96/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.96/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.96/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.96/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.96/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.82 % Solved by fo/fo6_bce.sh.
% 1.27/0.82 % BCE start: 34
% 1.27/0.82 % BCE eliminated: 0
% 1.27/0.82 % PE start: 34
% 1.27/0.82 logic: neq
% 1.27/0.82 % PE eliminated: 0
% 1.27/0.82 % done 137 iterations in 0.088s
% 1.27/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.27/0.82 % SZS output start Refutation
% 1.27/0.82 thf(defined_type, type, defined: $i > $o).
% 1.27/0.82 thf(additive_identity_type, type, additive_identity: $i).
% 1.27/0.82 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.27/0.82 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 1.27/0.82 thf(b_type, type, b: $i).
% 1.27/0.82 thf(u_type, type, u: $i).
% 1.27/0.82 thf(equalish_type, type, equalish: $i > $i > $o).
% 1.27/0.82 thf(a_type, type, a: $i).
% 1.27/0.82 thf(not_less_or_equal_7, conjecture, (less_or_equal @ additive_identity @ u)).
% 1.27/0.82 thf(zf_stmt_0, negated_conjecture,
% 1.27/0.82 (~( less_or_equal @ additive_identity @ u )),
% 1.27/0.82 inference('cnf.neg', [status(esa)], [not_less_or_equal_7])).
% 1.27/0.82 thf(zip_derived_cl33, plain, (~ (less_or_equal @ additive_identity @ u)),
% 1.27/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.27/0.82 thf(totality_of_order_relation, axiom,
% 1.27/0.82 (( less_or_equal @ X @ Y ) | ( less_or_equal @ Y @ X ) |
% 1.27/0.82 ( ~( defined @ X ) ) | ( ~( defined @ Y ) ))).
% 1.27/0.82 thf(zip_derived_cl17, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i]:
% 1.27/0.82 ( (less_or_equal @ X0 @ X1)
% 1.27/0.82 | (less_or_equal @ X1 @ X0)
% 1.27/0.82 | ~ (defined @ X0)
% 1.27/0.82 | ~ (defined @ X1))),
% 1.27/0.82 inference('cnf', [status(esa)], [totality_of_order_relation])).
% 1.27/0.82 thf(zip_derived_cl129, plain,
% 1.27/0.82 (![X0 : $i]:
% 1.27/0.82 (~ (defined @ X0) | ~ (defined @ X0) | (less_or_equal @ X0 @ X0))),
% 1.27/0.82 inference('eq_fact', [status(thm)], [zip_derived_cl17])).
% 1.27/0.82 thf(zip_derived_cl131, plain,
% 1.27/0.82 (![X0 : $i]: ( (less_or_equal @ X0 @ X0) | ~ (defined @ X0))),
% 1.27/0.82 inference('simplify', [status(thm)], [zip_derived_cl129])).
% 1.27/0.82 thf(zip_derived_cl17, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i]:
% 1.27/0.82 ( (less_or_equal @ X0 @ X1)
% 1.27/0.82 | (less_or_equal @ X1 @ X0)
% 1.27/0.82 | ~ (defined @ X0)
% 1.27/0.82 | ~ (defined @ X1))),
% 1.27/0.82 inference('cnf', [status(esa)], [totality_of_order_relation])).
% 1.27/0.82 thf(commutativity_multiplication, axiom,
% 1.27/0.82 (( equalish @ ( multiply @ X @ Y ) @ ( multiply @ Y @ X ) ) |
% 1.27/0.82 ( ~( defined @ X ) ) | ( ~( defined @ Y ) ))).
% 1.27/0.82 thf(zip_derived_cl7, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i]:
% 1.27/0.82 ( (equalish @ (multiply @ X0 @ X1) @ (multiply @ X1 @ X0))
% 1.27/0.82 | ~ (defined @ X0)
% 1.27/0.82 | ~ (defined @ X1))),
% 1.27/0.82 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 1.27/0.82 thf(multiply_equals_u_6, conjecture,
% 1.27/0.82 (~( equalish @ ( multiply @ a @ b ) @ u ))).
% 1.27/0.82 thf(zf_stmt_1, negated_conjecture, (equalish @ ( multiply @ a @ b ) @ u),
% 1.27/0.82 inference('cnf.neg', [status(esa)], [multiply_equals_u_6])).
% 1.27/0.82 thf(zip_derived_cl32, plain, ( (equalish @ (multiply @ a @ b) @ u)),
% 1.27/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.27/0.82 thf(symmetry_of_equality, axiom,
% 1.27/0.82 (( equalish @ X @ Y ) | ( ~( equalish @ Y @ X ) ))).
% 1.27/0.82 thf(zip_derived_cl21, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 1.27/0.82 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 1.27/0.82 thf(zip_derived_cl37, plain, ( (equalish @ u @ (multiply @ a @ b))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl21])).
% 1.27/0.82 thf(transitivity_of_equality, axiom,
% 1.27/0.82 (( equalish @ X @ Z ) | ( ~( equalish @ X @ Y ) ) |
% 1.27/0.82 ( ~( equalish @ Y @ Z ) ))).
% 1.27/0.82 thf(zip_derived_cl22, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.82 ( (equalish @ X0 @ X1)
% 1.27/0.82 | ~ (equalish @ X0 @ X2)
% 1.27/0.82 | ~ (equalish @ X2 @ X1))),
% 1.27/0.82 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 1.27/0.82 thf(zip_derived_cl65, plain,
% 1.27/0.82 (![X0 : $i]:
% 1.27/0.82 ( (equalish @ u @ X0) | ~ (equalish @ (multiply @ a @ b) @ X0))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl22])).
% 1.27/0.82 thf(zip_derived_cl75, plain,
% 1.27/0.82 ((~ (defined @ b)
% 1.27/0.82 | ~ (defined @ a)
% 1.27/0.82 | (equalish @ u @ (multiply @ b @ a)))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl65])).
% 1.27/0.82 thf(b_is_defined, axiom, (defined @ b)).
% 1.27/0.82 thf(zip_derived_cl28, plain, ( (defined @ b)),
% 1.27/0.82 inference('cnf', [status(esa)], [b_is_defined])).
% 1.27/0.82 thf(a_is_defined, axiom, (defined @ a)).
% 1.27/0.82 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 1.27/0.82 inference('cnf', [status(esa)], [a_is_defined])).
% 1.27/0.82 thf(zip_derived_cl76, plain, ( (equalish @ u @ (multiply @ b @ a))),
% 1.27/0.82 inference('demod', [status(thm)],
% 1.27/0.82 [zip_derived_cl75, zip_derived_cl28, zip_derived_cl27])).
% 1.27/0.82 thf(compatibility_of_equality_and_order_relation, axiom,
% 1.27/0.82 (( less_or_equal @ Y @ Z ) | ( ~( less_or_equal @ X @ Z ) ) |
% 1.27/0.82 ( ~( equalish @ X @ Y ) ))).
% 1.27/0.82 thf(zip_derived_cl25, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.82 ( (less_or_equal @ X0 @ X1)
% 1.27/0.82 | ~ (less_or_equal @ X2 @ X1)
% 1.27/0.82 | ~ (equalish @ X2 @ X0))),
% 1.27/0.82 inference('cnf', [status(esa)],
% 1.27/0.82 [compatibility_of_equality_and_order_relation])).
% 1.27/0.82 thf(zip_derived_cl106, plain,
% 1.27/0.82 (![X0 : $i]:
% 1.27/0.82 ( (less_or_equal @ (multiply @ b @ a) @ X0)
% 1.27/0.82 | ~ (less_or_equal @ u @ X0))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl25])).
% 1.27/0.82 thf(well_definedness_of_multiplication, axiom,
% 1.27/0.82 (( defined @ ( multiply @ X @ Y ) ) | ( ~( defined @ X ) ) |
% 1.27/0.82 ( ~( defined @ Y ) ))).
% 1.27/0.82 thf(zip_derived_cl12, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i]:
% 1.27/0.82 ( (defined @ (multiply @ X0 @ X1))
% 1.27/0.82 | ~ (defined @ X0)
% 1.27/0.82 | ~ (defined @ X1))),
% 1.27/0.82 inference('cnf', [status(esa)], [well_definedness_of_multiplication])).
% 1.27/0.82 thf(zip_derived_cl131, plain,
% 1.27/0.82 (![X0 : $i]: ( (less_or_equal @ X0 @ X0) | ~ (defined @ X0))),
% 1.27/0.82 inference('simplify', [status(thm)], [zip_derived_cl129])).
% 1.27/0.82 thf(less_or_equal_5, conjecture,
% 1.27/0.82 (~( less_or_equal @ additive_identity @ b ))).
% 1.27/0.82 thf(zf_stmt_2, negated_conjecture, (less_or_equal @ additive_identity @ b),
% 1.27/0.82 inference('cnf.neg', [status(esa)], [less_or_equal_5])).
% 1.27/0.82 thf(zip_derived_cl31, plain, ( (less_or_equal @ additive_identity @ b)),
% 1.27/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.27/0.82 thf(less_or_equal_4, conjecture,
% 1.27/0.82 (~( less_or_equal @ additive_identity @ a ))).
% 1.27/0.82 thf(zf_stmt_3, negated_conjecture, (less_or_equal @ additive_identity @ a),
% 1.27/0.82 inference('cnf.neg', [status(esa)], [less_or_equal_4])).
% 1.27/0.82 thf(zip_derived_cl30, plain, ( (less_or_equal @ additive_identity @ a)),
% 1.27/0.82 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.27/0.82 thf(compatibility_of_order_relation_and_multiplication, axiom,
% 1.27/0.82 (( less_or_equal @ additive_identity @ ( multiply @ Y @ Z ) ) |
% 1.27/0.82 ( ~( less_or_equal @ additive_identity @ Y ) ) |
% 1.27/0.82 ( ~( less_or_equal @ additive_identity @ Z ) ))).
% 1.27/0.82 thf(zip_derived_cl19, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i]:
% 1.27/0.82 ( (less_or_equal @ additive_identity @ (multiply @ X0 @ X1))
% 1.27/0.82 | ~ (less_or_equal @ additive_identity @ X0)
% 1.27/0.82 | ~ (less_or_equal @ additive_identity @ X1))),
% 1.27/0.82 inference('cnf', [status(esa)],
% 1.27/0.82 [compatibility_of_order_relation_and_multiplication])).
% 1.27/0.82 thf(transitivity_of_order_relation, axiom,
% 1.27/0.82 (( less_or_equal @ X @ Z ) | ( ~( less_or_equal @ X @ Y ) ) |
% 1.27/0.82 ( ~( less_or_equal @ Y @ Z ) ))).
% 1.27/0.82 thf(zip_derived_cl16, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.82 ( (less_or_equal @ X0 @ X1)
% 1.27/0.82 | ~ (less_or_equal @ X0 @ X2)
% 1.27/0.82 | ~ (less_or_equal @ X2 @ X1))),
% 1.27/0.82 inference('cnf', [status(esa)], [transitivity_of_order_relation])).
% 1.27/0.82 thf(zip_derived_cl49, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.82 (~ (less_or_equal @ additive_identity @ X0)
% 1.27/0.82 | ~ (less_or_equal @ additive_identity @ X1)
% 1.27/0.82 | (less_or_equal @ additive_identity @ X2)
% 1.27/0.82 | ~ (less_or_equal @ (multiply @ X1 @ X0) @ X2))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl16])).
% 1.27/0.82 thf(zip_derived_cl78, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i]:
% 1.27/0.82 (~ (less_or_equal @ additive_identity @ X0)
% 1.27/0.82 | (less_or_equal @ additive_identity @ X1)
% 1.27/0.82 | ~ (less_or_equal @ (multiply @ X0 @ a) @ X1))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl49])).
% 1.27/0.82 thf(zip_derived_cl210, plain,
% 1.27/0.82 (![X0 : $i]:
% 1.27/0.82 ( (less_or_equal @ additive_identity @ X0)
% 1.27/0.82 | ~ (less_or_equal @ (multiply @ b @ a) @ X0))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl78])).
% 1.27/0.82 thf(zip_derived_cl477, plain,
% 1.27/0.82 ((~ (defined @ (multiply @ b @ a))
% 1.27/0.82 | (less_or_equal @ additive_identity @ (multiply @ b @ a)))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl210])).
% 1.27/0.82 thf(zip_derived_cl502, plain,
% 1.27/0.82 ((~ (defined @ a)
% 1.27/0.82 | ~ (defined @ b)
% 1.27/0.82 | (less_or_equal @ additive_identity @ (multiply @ b @ a)))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl477])).
% 1.27/0.82 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 1.27/0.82 inference('cnf', [status(esa)], [a_is_defined])).
% 1.27/0.82 thf(zip_derived_cl28, plain, ( (defined @ b)),
% 1.27/0.82 inference('cnf', [status(esa)], [b_is_defined])).
% 1.27/0.82 thf(zip_derived_cl503, plain,
% 1.27/0.82 ( (less_or_equal @ additive_identity @ (multiply @ b @ a))),
% 1.27/0.82 inference('demod', [status(thm)],
% 1.27/0.82 [zip_derived_cl502, zip_derived_cl27, zip_derived_cl28])).
% 1.27/0.82 thf(antisymmetry_of_order_relation, axiom,
% 1.27/0.82 (( equalish @ X @ Y ) | ( ~( less_or_equal @ X @ Y ) ) |
% 1.27/0.82 ( ~( less_or_equal @ Y @ X ) ))).
% 1.27/0.82 thf(zip_derived_cl15, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i]:
% 1.27/0.82 ( (equalish @ X0 @ X1)
% 1.27/0.82 | ~ (less_or_equal @ X0 @ X1)
% 1.27/0.82 | ~ (less_or_equal @ X1 @ X0))),
% 1.27/0.82 inference('cnf', [status(esa)], [antisymmetry_of_order_relation])).
% 1.27/0.82 thf(zip_derived_cl511, plain,
% 1.27/0.82 (( (equalish @ additive_identity @ (multiply @ b @ a))
% 1.27/0.82 | ~ (less_or_equal @ (multiply @ b @ a) @ additive_identity))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl503, zip_derived_cl15])).
% 1.27/0.82 thf(zip_derived_cl525, plain,
% 1.27/0.82 ((~ (less_or_equal @ u @ additive_identity)
% 1.27/0.82 | (equalish @ additive_identity @ (multiply @ b @ a)))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl106, zip_derived_cl511])).
% 1.27/0.82 thf(zip_derived_cl528, plain,
% 1.27/0.82 ((~ (defined @ additive_identity)
% 1.27/0.82 | ~ (defined @ u)
% 1.27/0.82 | (less_or_equal @ additive_identity @ u)
% 1.27/0.82 | (equalish @ additive_identity @ (multiply @ b @ a)))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl525])).
% 1.27/0.82 thf(well_definedness_of_additive_identity, axiom,
% 1.27/0.82 (defined @ additive_identity)).
% 1.27/0.82 thf(zip_derived_cl10, plain, ( (defined @ additive_identity)),
% 1.27/0.82 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 1.27/0.82 thf(u_is_defined, axiom, (defined @ u)).
% 1.27/0.82 thf(zip_derived_cl29, plain, ( (defined @ u)),
% 1.27/0.82 inference('cnf', [status(esa)], [u_is_defined])).
% 1.27/0.82 thf(zip_derived_cl33, plain, (~ (less_or_equal @ additive_identity @ u)),
% 1.27/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.27/0.82 thf(zip_derived_cl530, plain,
% 1.27/0.82 ( (equalish @ additive_identity @ (multiply @ b @ a))),
% 1.27/0.82 inference('demod', [status(thm)],
% 1.27/0.82 [zip_derived_cl528, zip_derived_cl10, zip_derived_cl29,
% 1.27/0.82 zip_derived_cl33])).
% 1.27/0.82 thf(zip_derived_cl21, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 1.27/0.82 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 1.27/0.82 thf(zip_derived_cl532, plain,
% 1.27/0.82 ( (equalish @ (multiply @ b @ a) @ additive_identity)),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl530, zip_derived_cl21])).
% 1.27/0.82 thf(zip_derived_cl76, plain, ( (equalish @ u @ (multiply @ b @ a))),
% 1.27/0.82 inference('demod', [status(thm)],
% 1.27/0.82 [zip_derived_cl75, zip_derived_cl28, zip_derived_cl27])).
% 1.27/0.82 thf(zip_derived_cl22, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.82 ( (equalish @ X0 @ X1)
% 1.27/0.82 | ~ (equalish @ X0 @ X2)
% 1.27/0.82 | ~ (equalish @ X2 @ X1))),
% 1.27/0.82 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 1.27/0.82 thf(zip_derived_cl81, plain,
% 1.27/0.82 (![X0 : $i]:
% 1.27/0.82 ( (equalish @ u @ X0) | ~ (equalish @ (multiply @ b @ a) @ X0))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl22])).
% 1.27/0.82 thf(zip_derived_cl580, plain, ( (equalish @ u @ additive_identity)),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl532, zip_derived_cl81])).
% 1.27/0.82 thf(zip_derived_cl25, plain,
% 1.27/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.82 ( (less_or_equal @ X0 @ X1)
% 1.27/0.82 | ~ (less_or_equal @ X2 @ X1)
% 1.27/0.82 | ~ (equalish @ X2 @ X0))),
% 1.27/0.82 inference('cnf', [status(esa)],
% 1.27/0.82 [compatibility_of_equality_and_order_relation])).
% 1.27/0.82 thf(zip_derived_cl583, plain,
% 1.27/0.82 (![X0 : $i]:
% 1.27/0.82 ( (less_or_equal @ additive_identity @ X0)
% 1.27/0.82 | ~ (less_or_equal @ u @ X0))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl580, zip_derived_cl25])).
% 1.27/0.82 thf(zip_derived_cl593, plain,
% 1.27/0.82 ((~ (defined @ u) | (less_or_equal @ additive_identity @ u))),
% 1.27/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl583])).
% 1.27/0.82 thf(zip_derived_cl29, plain, ( (defined @ u)),
% 1.27/0.82 inference('cnf', [status(esa)], [u_is_defined])).
% 1.27/0.82 thf(zip_derived_cl600, plain, ( (less_or_equal @ additive_identity @ u)),
% 1.27/0.82 inference('demod', [status(thm)], [zip_derived_cl593, zip_derived_cl29])).
% 1.27/0.82 thf(zip_derived_cl623, plain, ($false),
% 1.27/0.82 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl600])).
% 1.27/0.82
% 1.27/0.82 % SZS output end Refutation
% 1.27/0.82
% 1.27/0.82
% 1.27/0.82 % Terminating...
% 1.27/0.87 % Runner terminated.
% 1.27/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------