TSTP Solution File: FLD002-3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : FLD002-3 : 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.kkzqhSjHpg true

% Computer : n007.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 22:39:03 EDT 2023

% Result   : Unsatisfiable 22.49s 3.90s
% Output   : Refutation 22.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : FLD002-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kkzqhSjHpg true
% 0.13/0.36  % Computer : n007.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Sun Aug 27 23:07:42 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.37  % Running in FO mode
% 0.23/0.68  % Total configuration time : 435
% 0.23/0.68  % Estimated wc time : 1092
% 0.23/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.07/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.07/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.28/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.28/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 22.49/3.90  % Solved by fo/fo5.sh.
% 22.49/3.90  % done 5379 iterations in 3.104s
% 22.49/3.90  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 22.49/3.90  % SZS output start Refutation
% 22.49/3.90  thf(sum_type, type, sum: $i > $i > $i > $o).
% 22.49/3.90  thf(b_type, type, b: $i).
% 22.49/3.90  thf(a_type, type, a: $i).
% 22.49/3.90  thf(product_type, type, product: $i > $i > $i > $o).
% 22.49/3.90  thf(additive_identity_type, type, additive_identity: $i).
% 22.49/3.90  thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 22.49/3.90  thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 22.49/3.90  thf(defined_type, type, defined: $i > $o).
% 22.49/3.90  thf(not_sum_4, conjecture, (sum @ additive_identity @ a @ b)).
% 22.49/3.90  thf(zf_stmt_0, negated_conjecture, (~( sum @ additive_identity @ a @ b )),
% 22.49/3.90    inference('cnf.neg', [status(esa)], [not_sum_4])).
% 22.49/3.90  thf(zip_derived_cl29, plain, (~ (sum @ additive_identity @ a @ b)),
% 22.49/3.90      inference('cnf', [status(esa)], [zf_stmt_0])).
% 22.49/3.90  thf(existence_of_identity_multiplication, axiom,
% 22.49/3.90    (( product @ multiplicative_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 22.49/3.90  thf(zip_derived_cl7, plain,
% 22.49/3.90      (![X0 : $i]:
% 22.49/3.90         ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 22.49/3.90      inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 22.49/3.90  thf(commutativity_multiplication, axiom,
% 22.49/3.90    (( product @ Y @ X @ Z ) | ( ~( product @ X @ Y @ Z ) ))).
% 22.49/3.90  thf(zip_derived_cl9, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i, X2 : $i]:
% 22.49/3.90         ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 22.49/3.90      inference('cnf', [status(esa)], [commutativity_multiplication])).
% 22.49/3.90  thf(zip_derived_cl60, plain,
% 22.49/3.90      (![X0 : $i]:
% 22.49/3.90         (~ (defined @ X0) |  (product @ X0 @ multiplicative_identity @ X0))),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 22.49/3.90  thf(totality_of_order_relation, axiom,
% 22.49/3.90    (( less_or_equal @ X @ Y ) | ( less_or_equal @ Y @ X ) | 
% 22.49/3.90     ( ~( defined @ X ) ) | ( ~( defined @ Y ) ))).
% 22.49/3.90  thf(zip_derived_cl22, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i]:
% 22.49/3.90         ( (less_or_equal @ X0 @ X1)
% 22.49/3.90          |  (less_or_equal @ X1 @ X0)
% 22.49/3.90          | ~ (defined @ X0)
% 22.49/3.90          | ~ (defined @ X1))),
% 22.49/3.90      inference('cnf', [status(esa)], [totality_of_order_relation])).
% 22.49/3.90  thf(a_is_defined, axiom, (defined @ a)).
% 22.49/3.90  thf(zip_derived_cl26, plain, ( (defined @ a)),
% 22.49/3.90      inference('cnf', [status(esa)], [a_is_defined])).
% 22.49/3.90  thf(zip_derived_cl168, plain,
% 22.49/3.90      (![X0 : $i]:
% 22.49/3.90         (~ (defined @ X0)
% 22.49/3.90          |  (less_or_equal @ X0 @ a)
% 22.49/3.90          |  (less_or_equal @ a @ X0))),
% 22.49/3.90      inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl26])).
% 22.49/3.90  thf(zip_derived_cl4310, plain,
% 22.49/3.90      (( (less_or_equal @ a @ a) | ~ (defined @ a))),
% 22.49/3.90      inference('eq_fact', [status(thm)], [zip_derived_cl168])).
% 22.49/3.90  thf(zip_derived_cl26, plain, ( (defined @ a)),
% 22.49/3.90      inference('cnf', [status(esa)], [a_is_defined])).
% 22.49/3.90  thf(zip_derived_cl4311, plain, ( (less_or_equal @ a @ a)),
% 22.49/3.90      inference('demod', [status(thm)], [zip_derived_cl4310, zip_derived_cl26])).
% 22.49/3.90  thf(antisymmetry_of_order_relation, axiom,
% 22.49/3.90    (( sum @ additive_identity @ X @ Y ) | ( ~( less_or_equal @ X @ Y ) ) | 
% 22.49/3.90     ( ~( less_or_equal @ Y @ X ) ))).
% 22.49/3.90  thf(zip_derived_cl20, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i]:
% 22.49/3.90         ( (sum @ additive_identity @ X0 @ X1)
% 22.49/3.90          | ~ (less_or_equal @ X0 @ X1)
% 22.49/3.90          | ~ (less_or_equal @ X1 @ X0))),
% 22.49/3.90      inference('cnf', [status(esa)], [antisymmetry_of_order_relation])).
% 22.49/3.90  thf(zip_derived_cl4323, plain,
% 22.49/3.90      ((~ (less_or_equal @ a @ a) |  (sum @ additive_identity @ a @ a))),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl4311, zip_derived_cl20])).
% 22.49/3.90  thf(zip_derived_cl4311, plain, ( (less_or_equal @ a @ a)),
% 22.49/3.90      inference('demod', [status(thm)], [zip_derived_cl4310, zip_derived_cl26])).
% 22.49/3.90  thf(zip_derived_cl4326, plain, ( (sum @ additive_identity @ a @ a)),
% 22.49/3.90      inference('demod', [status(thm)],
% 22.49/3.90                [zip_derived_cl4323, zip_derived_cl4311])).
% 22.49/3.90  thf(product_3, axiom, (product @ multiplicative_identity @ a @ b)).
% 22.49/3.90  thf(zip_derived_cl28, plain, ( (product @ multiplicative_identity @ a @ b)),
% 22.49/3.90      inference('cnf', [status(esa)], [product_3])).
% 22.49/3.90  thf(zip_derived_cl28, plain, ( (product @ multiplicative_identity @ a @ b)),
% 22.49/3.90      inference('cnf', [status(esa)], [product_3])).
% 22.49/3.90  thf(zip_derived_cl7, plain,
% 22.49/3.90      (![X0 : $i]:
% 22.49/3.90         ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 22.49/3.90      inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 22.49/3.90  thf(associativity_multiplication_1, axiom,
% 22.49/3.90    (( product @ X @ V @ W ) | ( ~( product @ X @ Y @ U ) ) | 
% 22.49/3.90     ( ~( product @ Y @ Z @ V ) ) | ( ~( product @ U @ Z @ W ) ))).
% 22.49/3.90  thf(zip_derived_cl5, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.49/3.90         ( (product @ X0 @ X1 @ X2)
% 22.49/3.90          | ~ (product @ X0 @ X3 @ X4)
% 22.49/3.90          | ~ (product @ X3 @ X5 @ X1)
% 22.49/3.90          | ~ (product @ X4 @ X5 @ X2))),
% 22.49/3.90      inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 22.49/3.90  thf(zip_derived_cl118, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.49/3.90         (~ (defined @ X0)
% 22.49/3.90          | ~ (product @ X0 @ X2 @ X1)
% 22.49/3.90          | ~ (product @ X0 @ X2 @ X3)
% 22.49/3.90          |  (product @ multiplicative_identity @ X3 @ X1))),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 22.49/3.90  thf(zip_derived_cl2701, plain,
% 22.49/3.90      (![X0 : $i]:
% 22.49/3.90         ( (product @ multiplicative_identity @ X0 @ b)
% 22.49/3.90          | ~ (product @ multiplicative_identity @ a @ X0)
% 22.49/3.90          | ~ (defined @ multiplicative_identity))),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl118])).
% 22.49/3.90  thf(well_definedness_of_multiplicative_identity, axiom,
% 22.49/3.90    (defined @ multiplicative_identity)).
% 22.49/3.90  thf(zip_derived_cl16, plain, ( (defined @ multiplicative_identity)),
% 22.49/3.90      inference('cnf', [status(esa)],
% 22.49/3.90                [well_definedness_of_multiplicative_identity])).
% 22.49/3.90  thf(zip_derived_cl2712, plain,
% 22.49/3.90      (![X0 : $i]:
% 22.49/3.90         ( (product @ multiplicative_identity @ X0 @ b)
% 22.49/3.90          | ~ (product @ multiplicative_identity @ a @ X0))),
% 22.49/3.90      inference('demod', [status(thm)], [zip_derived_cl2701, zip_derived_cl16])).
% 22.49/3.90  thf(zip_derived_cl2717, plain,
% 22.49/3.90      ( (product @ multiplicative_identity @ b @ b)),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl2712])).
% 22.49/3.90  thf(zip_derived_cl9, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i, X2 : $i]:
% 22.49/3.90         ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 22.49/3.90      inference('cnf', [status(esa)], [commutativity_multiplication])).
% 22.49/3.90  thf(zip_derived_cl2723, plain,
% 22.49/3.90      ( (product @ b @ multiplicative_identity @ b)),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl2717, zip_derived_cl9])).
% 22.49/3.90  thf(zip_derived_cl60, plain,
% 22.49/3.90      (![X0 : $i]:
% 22.49/3.90         (~ (defined @ X0) |  (product @ X0 @ multiplicative_identity @ X0))),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 22.49/3.90  thf(zip_derived_cl60, plain,
% 22.49/3.90      (![X0 : $i]:
% 22.49/3.90         (~ (defined @ X0) |  (product @ X0 @ multiplicative_identity @ X0))),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 22.49/3.90  thf(zip_derived_cl28, plain, ( (product @ multiplicative_identity @ a @ b)),
% 22.49/3.90      inference('cnf', [status(esa)], [product_3])).
% 22.49/3.90  thf(zip_derived_cl9, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i, X2 : $i]:
% 22.49/3.90         ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 22.49/3.90      inference('cnf', [status(esa)], [commutativity_multiplication])).
% 22.49/3.90  thf(zip_derived_cl61, plain, ( (product @ a @ multiplicative_identity @ b)),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl9])).
% 22.49/3.90  thf(associativity_multiplication_2, axiom,
% 22.49/3.90    (( product @ U @ Z @ W ) | ( ~( product @ X @ Y @ U ) ) | 
% 22.49/3.90     ( ~( product @ Y @ Z @ V ) ) | ( ~( product @ X @ V @ W ) ))).
% 22.49/3.90  thf(zip_derived_cl6, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.49/3.90         ( (product @ X0 @ X1 @ X2)
% 22.49/3.90          | ~ (product @ X3 @ X4 @ X0)
% 22.49/3.90          | ~ (product @ X4 @ X1 @ X5)
% 22.49/3.90          | ~ (product @ X3 @ X5 @ X2))),
% 22.49/3.90      inference('cnf', [status(esa)], [associativity_multiplication_2])).
% 22.49/3.90  thf(zip_derived_cl206, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i, X2 : $i]:
% 22.49/3.90         (~ (product @ a @ X1 @ X0)
% 22.49/3.90          | ~ (product @ multiplicative_identity @ X2 @ X1)
% 22.49/3.90          |  (product @ b @ X2 @ X0))),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl6])).
% 22.49/3.90  thf(zip_derived_cl6681, plain,
% 22.49/3.90      (![X0 : $i]:
% 22.49/3.90         (~ (defined @ a)
% 22.49/3.90          |  (product @ b @ X0 @ a)
% 22.49/3.90          | ~ (product @ multiplicative_identity @ X0 @ multiplicative_identity))),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl206])).
% 22.49/3.90  thf(zip_derived_cl26, plain, ( (defined @ a)),
% 22.49/3.90      inference('cnf', [status(esa)], [a_is_defined])).
% 22.49/3.90  thf(zip_derived_cl6687, plain,
% 22.49/3.90      (![X0 : $i]:
% 22.49/3.90         ( (product @ b @ X0 @ a)
% 22.49/3.90          | ~ (product @ multiplicative_identity @ X0 @ multiplicative_identity))),
% 22.49/3.90      inference('demod', [status(thm)], [zip_derived_cl6681, zip_derived_cl26])).
% 22.49/3.90  thf(zip_derived_cl38750, plain,
% 22.49/3.90      ((~ (defined @ multiplicative_identity)
% 22.49/3.90        |  (product @ b @ multiplicative_identity @ a))),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl6687])).
% 22.49/3.90  thf(zip_derived_cl16, plain, ( (defined @ multiplicative_identity)),
% 22.49/3.90      inference('cnf', [status(esa)],
% 22.49/3.90                [well_definedness_of_multiplicative_identity])).
% 22.49/3.90  thf(zip_derived_cl38754, plain,
% 22.49/3.90      ( (product @ b @ multiplicative_identity @ a)),
% 22.49/3.90      inference('demod', [status(thm)], [zip_derived_cl38750, zip_derived_cl16])).
% 22.49/3.90  thf(zip_derived_cl9, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i, X2 : $i]:
% 22.49/3.90         ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 22.49/3.90      inference('cnf', [status(esa)], [commutativity_multiplication])).
% 22.49/3.90  thf(zip_derived_cl38759, plain,
% 22.49/3.90      ( (product @ multiplicative_identity @ b @ a)),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl38754, zip_derived_cl9])).
% 22.49/3.90  thf(zip_derived_cl6, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.49/3.90         ( (product @ X0 @ X1 @ X2)
% 22.49/3.90          | ~ (product @ X3 @ X4 @ X0)
% 22.49/3.90          | ~ (product @ X4 @ X1 @ X5)
% 22.49/3.90          | ~ (product @ X3 @ X5 @ X2))),
% 22.49/3.90      inference('cnf', [status(esa)], [associativity_multiplication_2])).
% 22.49/3.90  thf(zip_derived_cl209, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.49/3.90         (~ (product @ X2 @ X1 @ X0)
% 22.49/3.90          | ~ (product @ X1 @ X3 @ X1)
% 22.49/3.90          |  (product @ X0 @ X3 @ X0))),
% 22.49/3.90      inference('eq_fact', [status(thm)], [zip_derived_cl6])).
% 22.49/3.90  thf(zip_derived_cl38779, plain,
% 22.49/3.90      (![X0 : $i]: ( (product @ a @ X0 @ a) | ~ (product @ b @ X0 @ b))),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl38759, zip_derived_cl209])).
% 22.49/3.90  thf(zip_derived_cl38825, plain,
% 22.49/3.90      ( (product @ a @ multiplicative_identity @ a)),
% 22.49/3.90      inference('sup-', [status(thm)],
% 22.49/3.90                [zip_derived_cl2723, zip_derived_cl38779])).
% 22.49/3.90  thf(zip_derived_cl61, plain, ( (product @ a @ multiplicative_identity @ b)),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl9])).
% 22.49/3.90  thf(distributivity_1, axiom,
% 22.49/3.90    (( sum @ C @ D @ B ) | ( ~( sum @ X @ Y @ A ) ) | 
% 22.49/3.90     ( ~( product @ A @ Z @ B ) ) | ( ~( product @ X @ Z @ C ) ) | 
% 22.49/3.90     ( ~( product @ Y @ Z @ D ) ))).
% 22.49/3.90  thf(zip_derived_cl10, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.49/3.90         ( (sum @ X0 @ X1 @ X2)
% 22.49/3.90          | ~ (sum @ X3 @ X4 @ X5)
% 22.49/3.90          | ~ (product @ X5 @ X6 @ X2)
% 22.49/3.90          | ~ (product @ X3 @ X6 @ X0)
% 22.49/3.90          | ~ (product @ X4 @ X6 @ X1))),
% 22.49/3.90      inference('cnf', [status(esa)], [distributivity_1])).
% 22.49/3.90  thf(zip_derived_cl215, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.49/3.90         (~ (product @ X1 @ multiplicative_identity @ X0)
% 22.49/3.90          | ~ (product @ X3 @ multiplicative_identity @ X2)
% 22.49/3.90          | ~ (sum @ X3 @ X1 @ a)
% 22.49/3.90          |  (sum @ X2 @ X0 @ b))),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl10])).
% 22.49/3.90  thf(zip_derived_cl38841, plain,
% 22.49/3.90      (![X0 : $i, X1 : $i]:
% 22.49/3.90         ( (sum @ X0 @ a @ b)
% 22.49/3.90          | ~ (sum @ X1 @ a @ a)
% 22.49/3.90          | ~ (product @ X1 @ multiplicative_identity @ X0))),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl38825, zip_derived_cl215])).
% 22.49/3.90  thf(zip_derived_cl39083, plain,
% 22.49/3.90      (![X0 : $i]:
% 22.49/3.90         (~ (product @ additive_identity @ multiplicative_identity @ X0)
% 22.49/3.90          |  (sum @ X0 @ a @ b))),
% 22.49/3.90      inference('sup-', [status(thm)],
% 22.49/3.90                [zip_derived_cl4326, zip_derived_cl38841])).
% 22.49/3.90  thf(zip_derived_cl39105, plain,
% 22.49/3.90      ((~ (defined @ additive_identity) |  (sum @ additive_identity @ a @ b))),
% 22.49/3.90      inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl39083])).
% 22.49/3.90  thf(well_definedness_of_additive_identity, axiom,
% 22.49/3.90    (defined @ additive_identity)).
% 22.49/3.90  thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 22.49/3.90      inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 22.49/3.90  thf(zip_derived_cl39108, plain, ( (sum @ additive_identity @ a @ b)),
% 22.49/3.90      inference('demod', [status(thm)], [zip_derived_cl39105, zip_derived_cl13])).
% 22.49/3.90  thf(zip_derived_cl39109, plain, ($false),
% 22.49/3.90      inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl39108])).
% 22.49/3.90  
% 22.49/3.90  % SZS output end Refutation
% 22.49/3.90  
% 22.49/3.90  
% 22.49/3.90  % Terminating...
% 23.19/4.00  % Runner terminated.
% 23.19/4.01  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------