%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD005-1 : 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.GAbzcMzijo true
% Computer : n008.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 04:33:07 PM UTC 2025
% Result : Unsatisfiable 12.21s 2.38s
% Output : Refutation 12.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD005-1 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GAbzcMzijo true
% 0.14/0.35 % Computer : n008.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 : Wed Oct 1 18:30:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % 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
% 0.14/0.36 % Running in FO mode
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 12.21/2.38 % Solved by fo/fo4.sh.
% 12.21/2.38 % done 2477 iterations in 1.587s
% 12.21/2.38 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.21/2.38 % SZS output start Refutation
% 12.21/2.38 thf(defined_type, type, defined: $i > $o).
% 12.21/2.38 thf(additive_identity_type, type, additive_identity: $i).
% 12.21/2.38 thf(add_type, type, add: $i > $i > $i).
% 12.21/2.38 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 12.21/2.38 thf(b_type, type, b: $i).
% 12.21/2.38 thf(equalish_type, type, equalish: $i > $i > $o).
% 12.21/2.38 thf(a_type, type, a: $i).
% 12.21/2.38 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 12.21/2.38 thf(well_definedness_of_additive_inverse, axiom,
% 12.21/2.38 (( defined @ ( additive_inverse @ X ) ) | ( ~( defined @ X ) ))).
% 12.21/2.38 thf(zip_derived_cl11, plain,
% 12.21/2.38 (![X0 : $i]: ( (defined @ (additive_inverse @ X0)) | ~ (defined @ X0))),
% 12.21/2.38 inference('cnf', [status(esa)], [well_definedness_of_additive_inverse])).
% 12.21/2.38 thf(existence_of_inverse_addition, axiom,
% 12.21/2.38 (( equalish @ ( add @ X @ ( additive_inverse @ X ) ) @ additive_identity ) |
% 12.21/2.38 ( ~( defined @ X ) ))).
% 12.21/2.38 thf(zip_derived_cl2, plain,
% 12.21/2.38 (![X0 : $i]:
% 12.21/2.38 ( (equalish @ (add @ X0 @ (additive_inverse @ X0)) @ additive_identity)
% 12.21/2.38 | ~ (defined @ X0))),
% 12.21/2.38 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 12.21/2.38 thf(symmetry_of_equality, axiom,
% 12.21/2.38 (( equalish @ X @ Y ) | ( ~( equalish @ Y @ X ) ))).
% 12.21/2.38 thf(zip_derived_cl21, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 12.21/2.38 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 12.21/2.38 thf(zip_derived_cl110, plain,
% 12.21/2.38 (![X0 : $i]:
% 12.21/2.38 (~ (defined @ X0)
% 12.21/2.38 | (equalish @ additive_identity @
% 12.21/2.38 (add @ X0 @ (additive_inverse @ X0))))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl21])).
% 12.21/2.38 thf(compatibility_of_equality_and_addition, axiom,
% 12.21/2.38 (( equalish @ ( add @ X @ Z ) @ ( add @ Y @ Z ) ) | ( ~( defined @ Z ) ) |
% 12.21/2.38 ( ~( equalish @ X @ Y ) ))).
% 12.21/2.38 thf(zip_derived_cl23, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.21/2.38 ( (equalish @ (add @ X0 @ X1) @ (add @ X2 @ X1))
% 12.21/2.38 | ~ (defined @ X1)
% 12.21/2.38 | ~ (equalish @ X0 @ X2))),
% 12.21/2.38 inference('cnf', [status(esa)], [compatibility_of_equality_and_addition])).
% 12.21/2.38 thf(existence_of_identity_addition, axiom,
% 12.21/2.38 (( equalish @ ( add @ additive_identity @ X ) @ X ) | ( ~( defined @ X ) ))).
% 12.21/2.38 thf(zip_derived_cl1, plain,
% 12.21/2.38 (![X0 : $i]:
% 12.21/2.38 ( (equalish @ (add @ additive_identity @ X0) @ X0) | ~ (defined @ X0))),
% 12.21/2.38 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 12.21/2.38 thf(zip_derived_cl21, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 12.21/2.38 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 12.21/2.38 thf(transitivity_of_equality, axiom,
% 12.21/2.38 (( equalish @ X @ Z ) | ( ~( equalish @ X @ Y ) ) |
% 12.21/2.38 ( ~( equalish @ Y @ Z ) ))).
% 12.21/2.38 thf(zip_derived_cl22, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.21/2.38 ( (equalish @ X0 @ X1)
% 12.21/2.38 | ~ (equalish @ X0 @ X2)
% 12.21/2.38 | ~ (equalish @ X2 @ X1))),
% 12.21/2.38 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 12.21/2.38 thf(zip_derived_cl40, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.21/2.38 (~ (equalish @ X0 @ X1)
% 12.21/2.38 | ~ (equalish @ X0 @ X2)
% 12.21/2.38 | (equalish @ X1 @ X2))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl22])).
% 12.21/2.38 thf(zip_derived_cl94, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i]:
% 12.21/2.38 (~ (defined @ X0)
% 12.21/2.38 | (equalish @ X0 @ X1)
% 12.21/2.38 | ~ (equalish @ (add @ additive_identity @ X0) @ X1))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl40])).
% 12.21/2.38 thf(zip_derived_cl21, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 12.21/2.38 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 12.21/2.38 thf(zip_derived_cl257, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i]:
% 12.21/2.38 ( (equalish @ X1 @ X0)
% 12.21/2.38 | ~ (defined @ X1)
% 12.21/2.38 | ~ (equalish @ X0 @ (add @ additive_identity @ X1)))),
% 12.21/2.38 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl21])).
% 12.21/2.38 thf(b_is_defined, axiom, (defined @ b)).
% 12.21/2.38 thf(zip_derived_cl28, plain, ( (defined @ b)),
% 12.21/2.38 inference('cnf', [status(esa)], [b_is_defined])).
% 12.21/2.38 thf(zip_derived_cl28, plain, ( (defined @ b)),
% 12.21/2.38 inference('cnf', [status(esa)], [b_is_defined])).
% 12.21/2.38 thf(totality_of_order_relation, axiom,
% 12.21/2.38 (( less_or_equal @ X @ Y ) | ( less_or_equal @ Y @ X ) |
% 12.21/2.38 ( ~( defined @ X ) ) | ( ~( defined @ Y ) ))).
% 12.21/2.38 thf(zip_derived_cl17, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i]:
% 12.21/2.38 ( (less_or_equal @ X0 @ X1)
% 12.21/2.38 | (less_or_equal @ X1 @ X0)
% 12.21/2.38 | ~ (defined @ X0)
% 12.21/2.38 | ~ (defined @ X1))),
% 12.21/2.38 inference('cnf', [status(esa)], [totality_of_order_relation])).
% 12.21/2.38 thf(zip_derived_cl84, plain,
% 12.21/2.38 (![X0 : $i]:
% 12.21/2.38 (~ (defined @ X0)
% 12.21/2.38 | (less_or_equal @ X0 @ b)
% 12.21/2.38 | (less_or_equal @ b @ X0))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl17])).
% 12.21/2.38 thf(zip_derived_cl1513, plain,
% 12.21/2.38 (( (less_or_equal @ b @ b) | (less_or_equal @ b @ b))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl84])).
% 12.21/2.38 thf(zip_derived_cl1514, plain, ( (less_or_equal @ b @ b)),
% 12.21/2.38 inference('simplify', [status(thm)], [zip_derived_cl1513])).
% 12.21/2.38 thf(antisymmetry_of_order_relation, axiom,
% 12.21/2.38 (( equalish @ X @ Y ) | ( ~( less_or_equal @ X @ Y ) ) |
% 12.21/2.38 ( ~( less_or_equal @ Y @ X ) ))).
% 12.21/2.38 thf(zip_derived_cl15, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i]:
% 12.21/2.38 ( (equalish @ X0 @ X1)
% 12.21/2.38 | ~ (less_or_equal @ X0 @ X1)
% 12.21/2.38 | ~ (less_or_equal @ X1 @ X0))),
% 12.21/2.38 inference('cnf', [status(esa)], [antisymmetry_of_order_relation])).
% 12.21/2.38 thf(zip_derived_cl78, plain,
% 12.21/2.38 (![X0 : $i]: (~ (less_or_equal @ X0 @ X0) | (equalish @ X0 @ X0))),
% 12.21/2.38 inference('eq_fact', [status(thm)], [zip_derived_cl15])).
% 12.21/2.38 thf(zip_derived_cl1519, plain, ( (equalish @ b @ b)),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl1514, zip_derived_cl78])).
% 12.21/2.38 thf(zip_derived_cl1519, plain, ( (equalish @ b @ b)),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl1514, zip_derived_cl78])).
% 12.21/2.38 thf(zip_derived_cl1, plain,
% 12.21/2.38 (![X0 : $i]:
% 12.21/2.38 ( (equalish @ (add @ additive_identity @ X0) @ X0) | ~ (defined @ X0))),
% 12.21/2.38 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 12.21/2.38 thf(zip_derived_cl22, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.21/2.38 ( (equalish @ X0 @ X1)
% 12.21/2.38 | ~ (equalish @ X0 @ X2)
% 12.21/2.38 | ~ (equalish @ X2 @ X1))),
% 12.21/2.38 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 12.21/2.38 thf(zip_derived_cl98, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i]:
% 12.21/2.38 (~ (defined @ X0)
% 12.21/2.38 | ~ (equalish @ X0 @ X1)
% 12.21/2.38 | (equalish @ (add @ additive_identity @ X0) @ X1))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl22])).
% 12.21/2.38 thf(zip_derived_cl22, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.21/2.38 ( (equalish @ X0 @ X1)
% 12.21/2.38 | ~ (equalish @ X0 @ X2)
% 12.21/2.38 | ~ (equalish @ X2 @ X1))),
% 12.21/2.38 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 12.21/2.38 thf(zip_derived_cl2420, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.21/2.38 (~ (equalish @ X1 @ X0)
% 12.21/2.38 | ~ (defined @ X1)
% 12.21/2.38 | ~ (equalish @ X0 @ X2)
% 12.21/2.38 | (equalish @ (add @ additive_identity @ X1) @ X2))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl22])).
% 12.21/2.38 thf(zip_derived_cl3956, plain,
% 12.21/2.38 (![X0 : $i]:
% 12.21/2.38 ( (equalish @ (add @ additive_identity @ b) @ X0)
% 12.21/2.38 | ~ (equalish @ b @ X0)
% 12.21/2.38 | ~ (defined @ b))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl1519, zip_derived_cl2420])).
% 12.21/2.38 thf(zip_derived_cl28, plain, ( (defined @ b)),
% 12.21/2.38 inference('cnf', [status(esa)], [b_is_defined])).
% 12.21/2.38 thf(zip_derived_cl3967, plain,
% 12.21/2.38 (![X0 : $i]:
% 12.21/2.38 ( (equalish @ (add @ additive_identity @ b) @ X0)
% 12.21/2.38 | ~ (equalish @ b @ X0))),
% 12.21/2.38 inference('demod', [status(thm)], [zip_derived_cl3956, zip_derived_cl28])).
% 12.21/2.38 thf(zip_derived_cl21, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 12.21/2.38 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 12.21/2.38 thf(zip_derived_cl40, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.21/2.38 (~ (equalish @ X0 @ X1)
% 12.21/2.38 | ~ (equalish @ X0 @ X2)
% 12.21/2.38 | (equalish @ X1 @ X2))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl22])).
% 12.21/2.38 thf(zip_derived_cl48, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X0) | ~ (equalish @ X1 @ X0))),
% 12.21/2.38 inference('eq_fact', [status(thm)], [zip_derived_cl40])).
% 12.21/2.38 thf(zip_derived_cl50, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i]: (~ (equalish @ X0 @ X1) | (equalish @ X0 @ X0))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl48])).
% 12.21/2.38 thf(zip_derived_cl4812, plain,
% 12.21/2.38 (![X0 : $i]:
% 12.21/2.38 (~ (equalish @ b @ X0)
% 12.21/2.38 | (equalish @ (add @ additive_identity @ b) @
% 12.21/2.38 (add @ additive_identity @ b)))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl3967, zip_derived_cl50])).
% 12.21/2.38 thf(zip_derived_cl9940, plain,
% 12.21/2.38 ( (equalish @ (add @ additive_identity @ b) @
% 12.21/2.38 (add @ additive_identity @ b))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl1519, zip_derived_cl4812])).
% 12.21/2.38 thf(zip_derived_cl12316, plain,
% 12.21/2.38 ((~ (defined @ b) | (equalish @ b @ (add @ additive_identity @ b)))),
% 12.21/2.38 inference('sup+', [status(thm)], [zip_derived_cl257, zip_derived_cl9940])).
% 12.21/2.38 thf(zip_derived_cl28, plain, ( (defined @ b)),
% 12.21/2.38 inference('cnf', [status(esa)], [b_is_defined])).
% 12.21/2.38 thf(zip_derived_cl12320, plain,
% 12.21/2.38 ( (equalish @ b @ (add @ additive_identity @ b))),
% 12.21/2.38 inference('demod', [status(thm)], [zip_derived_cl12316, zip_derived_cl28])).
% 12.21/2.38 thf(zip_derived_cl22, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.21/2.38 ( (equalish @ X0 @ X1)
% 12.21/2.38 | ~ (equalish @ X0 @ X2)
% 12.21/2.38 | ~ (equalish @ X2 @ X1))),
% 12.21/2.38 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 12.21/2.38 thf(zip_derived_cl12360, plain,
% 12.21/2.38 (![X0 : $i]:
% 12.21/2.38 (~ (equalish @ (add @ additive_identity @ b) @ X0)
% 12.21/2.38 | (equalish @ b @ X0))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl12320, zip_derived_cl22])).
% 12.21/2.38 thf(zip_derived_cl12615, plain,
% 12.21/2.38 (![X0 : $i]:
% 12.21/2.38 (~ (equalish @ additive_identity @ X0)
% 12.21/2.38 | ~ (defined @ b)
% 12.21/2.38 | (equalish @ b @ (add @ X0 @ b)))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl12360])).
% 12.21/2.38 thf(zip_derived_cl28, plain, ( (defined @ b)),
% 12.21/2.38 inference('cnf', [status(esa)], [b_is_defined])).
% 12.21/2.38 thf(zip_derived_cl12626, plain,
% 12.21/2.38 (![X0 : $i]:
% 12.21/2.38 (~ (equalish @ additive_identity @ X0)
% 12.21/2.38 | (equalish @ b @ (add @ X0 @ b)))),
% 12.21/2.38 inference('demod', [status(thm)], [zip_derived_cl12615, zip_derived_cl28])).
% 12.21/2.38 thf(associativity_addition, axiom,
% 12.21/2.38 (( equalish @ ( add @ X @ ( add @ Y @ Z ) ) @ ( add @ ( add @ X @ Y ) @ Z ) ) |
% 12.21/2.38 ( ~( defined @ X ) ) | ( ~( defined @ Y ) ) | ( ~( defined @ Z ) ))).
% 12.21/2.38 thf(zip_derived_cl0, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.21/2.38 ( (equalish @ (add @ X0 @ (add @ X1 @ X2)) @
% 12.21/2.38 (add @ (add @ X0 @ X1) @ X2))
% 12.21/2.38 | ~ (defined @ X0)
% 12.21/2.38 | ~ (defined @ X1)
% 12.21/2.38 | ~ (defined @ X2))),
% 12.21/2.38 inference('cnf', [status(esa)], [associativity_addition])).
% 12.21/2.38 thf(zip_derived_cl22, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.21/2.38 ( (equalish @ X0 @ X1)
% 12.21/2.38 | ~ (equalish @ X0 @ X2)
% 12.21/2.38 | ~ (equalish @ X2 @ X1))),
% 12.21/2.38 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 12.21/2.38 thf(zip_derived_cl42, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.21/2.38 (~ (defined @ X0)
% 12.21/2.38 | ~ (defined @ X1)
% 12.21/2.38 | ~ (defined @ X2)
% 12.21/2.38 | ~ (equalish @ (add @ (add @ X2 @ X1) @ X0) @ X3)
% 12.21/2.38 | (equalish @ (add @ X2 @ (add @ X1 @ X0)) @ X3))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl22])).
% 12.21/2.38 thf(zip_derived_cl21, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 12.21/2.38 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 12.21/2.38 thf(zip_derived_cl58, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.21/2.38 ( (equalish @ (add @ X3 @ (add @ X2 @ X1)) @ X0)
% 12.21/2.38 | ~ (defined @ X3)
% 12.21/2.38 | ~ (defined @ X2)
% 12.21/2.38 | ~ (defined @ X1)
% 12.21/2.38 | ~ (equalish @ X0 @ (add @ (add @ X3 @ X2) @ X1)))),
% 12.21/2.38 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl21])).
% 12.21/2.38 thf(add_not_equal_to_b_3, conjecture, (equalish @ ( add @ a @ X ) @ b)).
% 12.21/2.38 thf(zf_stmt_0, negated_conjecture, (~( equalish @ ( add @ a @ X ) @ b )),
% 12.21/2.38 inference('cnf.neg', [status(esa)], [add_not_equal_to_b_3])).
% 12.21/2.38 thf(zip_derived_cl29, plain, (![X0 : $i]: ~ (equalish @ (add @ a @ X0) @ b)),
% 12.21/2.38 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.21/2.38 thf(zip_derived_cl494, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i]:
% 12.21/2.38 (~ (equalish @ b @ (add @ (add @ a @ X1) @ X0))
% 12.21/2.38 | ~ (defined @ X0)
% 12.21/2.38 | ~ (defined @ X1)
% 12.21/2.38 | ~ (defined @ a))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl29])).
% 12.21/2.38 thf(a_is_defined, axiom, (defined @ a)).
% 12.21/2.38 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 12.21/2.38 inference('cnf', [status(esa)], [a_is_defined])).
% 12.21/2.38 thf(zip_derived_cl530, plain,
% 12.21/2.38 (![X0 : $i, X1 : $i]:
% 12.21/2.38 (~ (equalish @ b @ (add @ (add @ a @ X1) @ X0))
% 12.21/2.38 | ~ (defined @ X0)
% 12.21/2.38 | ~ (defined @ X1))),
% 12.21/2.38 inference('demod', [status(thm)], [zip_derived_cl494, zip_derived_cl27])).
% 12.21/2.38 thf(zip_derived_cl13642, plain,
% 12.21/2.38 (![X0 : $i]:
% 12.21/2.38 (~ (equalish @ additive_identity @ (add @ a @ X0))
% 12.21/2.38 | ~ (defined @ X0)
% 12.21/2.38 | ~ (defined @ b))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl12626, zip_derived_cl530])).
% 12.21/2.38 thf(zip_derived_cl28, plain, ( (defined @ b)),
% 12.21/2.38 inference('cnf', [status(esa)], [b_is_defined])).
% 12.21/2.38 thf(zip_derived_cl13667, plain,
% 12.21/2.38 (![X0 : $i]:
% 12.21/2.38 (~ (equalish @ additive_identity @ (add @ a @ X0)) | ~ (defined @ X0))),
% 12.21/2.38 inference('demod', [status(thm)], [zip_derived_cl13642, zip_derived_cl28])).
% 12.21/2.38 thf(zip_derived_cl13669, plain,
% 12.21/2.38 ((~ (defined @ a) | ~ (defined @ (additive_inverse @ a)))),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl13667])).
% 12.21/2.38 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 12.21/2.38 inference('cnf', [status(esa)], [a_is_defined])).
% 12.21/2.38 thf(zip_derived_cl13670, plain, (~ (defined @ (additive_inverse @ a))),
% 12.21/2.38 inference('demod', [status(thm)], [zip_derived_cl13669, zip_derived_cl27])).
% 12.21/2.38 thf(zip_derived_cl13671, plain, (~ (defined @ a)),
% 12.21/2.38 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl13670])).
% 12.21/2.38 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 12.21/2.38 inference('cnf', [status(esa)], [a_is_defined])).
% 12.21/2.38 thf(zip_derived_cl13672, plain, ($false),
% 12.21/2.38 inference('demod', [status(thm)], [zip_derived_cl13671, zip_derived_cl27])).
% 12.21/2.38
% 12.21/2.38 % SZS output end Refutation
% 12.21/2.38
% 12.21/2.38
% 12.21/2.38 % Terminating...
% 12.84/2.46 % Runner terminated.
% 12.84/2.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------