TSTP Solution File: FLD049-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD049-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Wv4DehJKfu true
% Computer : n032.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 22:39:27 EDT 2023
% Result : Unsatisfiable 192.77s 28.30s
% Output : Refutation 192.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : FLD049-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Wv4DehJKfu true
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Aug 28 00:31:30 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.16/0.59 % Total configuration time : 435
% 0.16/0.59 % Estimated wc time : 1092
% 0.16/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 192.77/28.30 % Solved by fo/fo5.sh.
% 192.77/28.30 % done 20974 iterations in 27.568s
% 192.77/28.30 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 192.77/28.30 % SZS output start Refutation
% 192.77/28.30 thf(sum_type, type, sum: $i > $i > $i > $o).
% 192.77/28.30 thf(b_type, type, b: $i).
% 192.77/28.30 thf(a_type, type, a: $i).
% 192.77/28.30 thf(d_type, type, d: $i).
% 192.77/28.30 thf(product_type, type, product: $i > $i > $i > $o).
% 192.77/28.30 thf(additive_identity_type, type, additive_identity: $i).
% 192.77/28.30 thf(multiply_type, type, multiply: $i > $i > $i).
% 192.77/28.30 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 192.77/28.30 thf(c_type, type, c: $i).
% 192.77/28.30 thf(multiplicative_inverse_type, type, multiplicative_inverse: $i > $i).
% 192.77/28.30 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 192.77/28.30 thf(defined_type, type, defined: $i > $o).
% 192.77/28.30 thf(not_product_8, conjecture, (product @ a @ d @ ( multiply @ b @ c ))).
% 192.77/28.30 thf(zf_stmt_0, negated_conjecture,
% 192.77/28.30 (~( product @ a @ d @ ( multiply @ b @ c ) )),
% 192.77/28.30 inference('cnf.neg', [status(esa)], [not_product_8])).
% 192.77/28.30 thf(zip_derived_cl33, plain, (~ (product @ a @ d @ (multiply @ b @ c))),
% 192.77/28.30 inference('cnf', [status(esa)], [zf_stmt_0])).
% 192.77/28.30 thf(existence_of_identity_multiplication, axiom,
% 192.77/28.30 (( product @ multiplicative_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 192.77/28.30 thf(zip_derived_cl7, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 192.77/28.30 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 192.77/28.30 thf(commutativity_multiplication, axiom,
% 192.77/28.30 (( product @ Y @ X @ Z ) | ( ~( product @ X @ Y @ Z ) ))).
% 192.77/28.30 thf(zip_derived_cl9, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 192.77/28.30 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 192.77/28.30 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 192.77/28.30 thf(zip_derived_cl60, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 192.77/28.30 thf(zip_derived_cl60, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 192.77/28.30 thf(totality_of_multiplication, axiom,
% 192.77/28.30 (( product @ X @ Y @ ( multiply @ X @ Y ) ) | ( ~( defined @ X ) ) |
% 192.77/28.30 ( ~( defined @ Y ) ))).
% 192.77/28.30 thf(zip_derived_cl19, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i]:
% 192.77/28.30 ( (product @ X0 @ X1 @ (multiply @ X0 @ X1))
% 192.77/28.30 | ~ (defined @ X0)
% 192.77/28.30 | ~ (defined @ X1))),
% 192.77/28.30 inference('cnf', [status(esa)], [totality_of_multiplication])).
% 192.77/28.30 thf(totality_of_order_relation, axiom,
% 192.77/28.30 (( less_or_equal @ X @ Y ) | ( less_or_equal @ Y @ X ) |
% 192.77/28.30 ( ~( defined @ X ) ) | ( ~( defined @ Y ) ))).
% 192.77/28.30 thf(zip_derived_cl22, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i]:
% 192.77/28.30 ( (less_or_equal @ X0 @ X1)
% 192.77/28.30 | (less_or_equal @ X1 @ X0)
% 192.77/28.30 | ~ (defined @ X0)
% 192.77/28.30 | ~ (defined @ X1))),
% 192.77/28.30 inference('cnf', [status(esa)], [totality_of_order_relation])).
% 192.77/28.30 thf(d_is_defined, axiom, (defined @ d)).
% 192.77/28.30 thf(zip_derived_cl29, plain, ( (defined @ d)),
% 192.77/28.30 inference('cnf', [status(esa)], [d_is_defined])).
% 192.77/28.30 thf(zip_derived_cl421, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 (~ (defined @ X0)
% 192.77/28.30 | (less_or_equal @ X0 @ d)
% 192.77/28.30 | (less_or_equal @ d @ X0))),
% 192.77/28.30 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl29])).
% 192.77/28.30 thf(zip_derived_cl12346, plain,
% 192.77/28.30 (( (less_or_equal @ d @ d) | ~ (defined @ d))),
% 192.77/28.30 inference('eq_fact', [status(thm)], [zip_derived_cl421])).
% 192.77/28.30 thf(zip_derived_cl29, plain, ( (defined @ d)),
% 192.77/28.30 inference('cnf', [status(esa)], [d_is_defined])).
% 192.77/28.30 thf(zip_derived_cl12347, plain, ( (less_or_equal @ d @ d)),
% 192.77/28.30 inference('demod', [status(thm)], [zip_derived_cl12346, zip_derived_cl29])).
% 192.77/28.30 thf(antisymmetry_of_order_relation, axiom,
% 192.77/28.30 (( sum @ additive_identity @ X @ Y ) | ( ~( less_or_equal @ X @ Y ) ) |
% 192.77/28.30 ( ~( less_or_equal @ Y @ X ) ))).
% 192.77/28.30 thf(zip_derived_cl20, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i]:
% 192.77/28.30 ( (sum @ additive_identity @ X0 @ X1)
% 192.77/28.30 | ~ (less_or_equal @ X0 @ X1)
% 192.77/28.30 | ~ (less_or_equal @ X1 @ X0))),
% 192.77/28.30 inference('cnf', [status(esa)], [antisymmetry_of_order_relation])).
% 192.77/28.30 thf(zip_derived_cl12355, plain,
% 192.77/28.30 ((~ (less_or_equal @ d @ d) | (sum @ additive_identity @ d @ d))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl12347, zip_derived_cl20])).
% 192.77/28.30 thf(zip_derived_cl12347, plain, ( (less_or_equal @ d @ d)),
% 192.77/28.30 inference('demod', [status(thm)], [zip_derived_cl12346, zip_derived_cl29])).
% 192.77/28.30 thf(zip_derived_cl12358, plain, ( (sum @ additive_identity @ d @ d)),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl12355, zip_derived_cl12347])).
% 192.77/28.30 thf(existence_of_inverse_multiplication, axiom,
% 192.77/28.30 (( product @ ( multiplicative_inverse @ X ) @ X @ multiplicative_identity ) |
% 192.77/28.30 ( sum @ additive_identity @ X @ additive_identity ) | ( ~( defined @ X ) ))).
% 192.77/28.30 thf(zip_derived_cl8, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (product @ (multiplicative_inverse @ X0) @ X0 @
% 192.77/28.30 multiplicative_identity)
% 192.77/28.30 | (sum @ additive_identity @ X0 @ additive_identity)
% 192.77/28.30 | ~ (defined @ X0))),
% 192.77/28.30 inference('cnf', [status(esa)], [existence_of_inverse_multiplication])).
% 192.77/28.30 thf(existence_of_identity_addition, axiom,
% 192.77/28.30 (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 192.77/28.30 thf(zip_derived_cl2, plain,
% 192.77/28.30 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 192.77/28.30 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 192.77/28.30 thf(zip_derived_cl2, plain,
% 192.77/28.30 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 192.77/28.30 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 192.77/28.30 thf(associativity_addition_1, axiom,
% 192.77/28.30 (( sum @ X @ V @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 192.77/28.30 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ U @ Z @ W ) ))).
% 192.77/28.30 thf(zip_derived_cl0, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 192.77/28.30 ( (sum @ X0 @ X1 @ X2)
% 192.77/28.30 | ~ (sum @ X0 @ X3 @ X4)
% 192.77/28.30 | ~ (sum @ X3 @ X5 @ X1)
% 192.77/28.30 | ~ (sum @ X4 @ X5 @ X2))),
% 192.77/28.30 inference('cnf', [status(esa)], [associativity_addition_1])).
% 192.77/28.30 thf(zip_derived_cl36, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 192.77/28.30 (~ (sum @ X0 @ X1 @ X2)
% 192.77/28.30 | ~ (sum @ X1 @ X1 @ X0)
% 192.77/28.30 | (sum @ X1 @ X0 @ X2))),
% 192.77/28.30 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 192.77/28.30 thf(zip_derived_cl38, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 (~ (defined @ X0)
% 192.77/28.30 | (sum @ X0 @ additive_identity @ X0)
% 192.77/28.30 | ~ (sum @ X0 @ X0 @ additive_identity))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl36])).
% 192.77/28.30 thf(zip_derived_cl41, plain,
% 192.77/28.30 ((~ (defined @ additive_identity)
% 192.77/28.30 | (sum @ additive_identity @ additive_identity @ additive_identity)
% 192.77/28.30 | ~ (defined @ additive_identity))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl38])).
% 192.77/28.30 thf(well_definedness_of_additive_identity, axiom,
% 192.77/28.30 (defined @ additive_identity)).
% 192.77/28.30 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 192.77/28.30 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 192.77/28.30 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 192.77/28.30 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 192.77/28.30 thf(zip_derived_cl43, plain,
% 192.77/28.30 ( (sum @ additive_identity @ additive_identity @ additive_identity)),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl41, zip_derived_cl13, zip_derived_cl13])).
% 192.77/28.30 thf(zip_derived_cl0, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 192.77/28.30 ( (sum @ X0 @ X1 @ X2)
% 192.77/28.30 | ~ (sum @ X0 @ X3 @ X4)
% 192.77/28.30 | ~ (sum @ X3 @ X5 @ X1)
% 192.77/28.30 | ~ (sum @ X4 @ X5 @ X2))),
% 192.77/28.30 inference('cnf', [status(esa)], [associativity_addition_1])).
% 192.77/28.30 thf(zip_derived_cl45, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 192.77/28.30 (~ (sum @ additive_identity @ X1 @ X0)
% 192.77/28.30 | ~ (sum @ additive_identity @ X1 @ X2)
% 192.77/28.30 | (sum @ additive_identity @ X2 @ X0))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl0])).
% 192.77/28.30 thf(zip_derived_cl197, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i]:
% 192.77/28.30 (~ (defined @ X0)
% 192.77/28.30 | (product @ (multiplicative_inverse @ X0) @ X0 @
% 192.77/28.30 multiplicative_identity)
% 192.77/28.30 | (sum @ additive_identity @ X1 @ additive_identity)
% 192.77/28.30 | ~ (sum @ additive_identity @ X0 @ X1))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl45])).
% 192.77/28.30 thf(zip_derived_cl12373, plain,
% 192.77/28.30 (( (sum @ additive_identity @ d @ additive_identity)
% 192.77/28.30 | (product @ (multiplicative_inverse @ d) @ d @
% 192.77/28.30 multiplicative_identity)
% 192.77/28.30 | ~ (defined @ d))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl12358, zip_derived_cl197])).
% 192.77/28.30 thf(not_sum_6, conjecture, (sum @ additive_identity @ d @ additive_identity)).
% 192.77/28.30 thf(zf_stmt_1, negated_conjecture,
% 192.77/28.30 (~( sum @ additive_identity @ d @ additive_identity )),
% 192.77/28.30 inference('cnf.neg', [status(esa)], [not_sum_6])).
% 192.77/28.30 thf(zip_derived_cl31, plain,
% 192.77/28.30 (~ (sum @ additive_identity @ d @ additive_identity)),
% 192.77/28.30 inference('cnf', [status(esa)], [zf_stmt_1])).
% 192.77/28.30 thf(zip_derived_cl29, plain, ( (defined @ d)),
% 192.77/28.30 inference('cnf', [status(esa)], [d_is_defined])).
% 192.77/28.30 thf(zip_derived_cl12402, plain,
% 192.77/28.30 ( (product @ (multiplicative_inverse @ d) @ d @ multiplicative_identity)),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl12373, zip_derived_cl31, zip_derived_cl29])).
% 192.77/28.30 thf(zip_derived_cl19, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i]:
% 192.77/28.30 ( (product @ X0 @ X1 @ (multiply @ X0 @ X1))
% 192.77/28.30 | ~ (defined @ X0)
% 192.77/28.30 | ~ (defined @ X1))),
% 192.77/28.30 inference('cnf', [status(esa)], [totality_of_multiplication])).
% 192.77/28.30 thf(zip_derived_cl19, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i]:
% 192.77/28.30 ( (product @ X0 @ X1 @ (multiply @ X0 @ X1))
% 192.77/28.30 | ~ (defined @ X0)
% 192.77/28.30 | ~ (defined @ X1))),
% 192.77/28.30 inference('cnf', [status(esa)], [totality_of_multiplication])).
% 192.77/28.30 thf(zip_derived_cl60, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 192.77/28.30 thf(zip_derived_cl8, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (product @ (multiplicative_inverse @ X0) @ X0 @
% 192.77/28.30 multiplicative_identity)
% 192.77/28.30 | (sum @ additive_identity @ X0 @ additive_identity)
% 192.77/28.30 | ~ (defined @ X0))),
% 192.77/28.30 inference('cnf', [status(esa)], [existence_of_inverse_multiplication])).
% 192.77/28.30 thf(product_7, conjecture,
% 192.77/28.30 (~( product @
% 192.77/28.30 a @ ( multiplicative_inverse @ b ) @
% 192.77/28.30 ( multiply @ c @ ( multiplicative_inverse @ d ) ) ))).
% 192.77/28.30 thf(zf_stmt_2, negated_conjecture,
% 192.77/28.30 (product @
% 192.77/28.30 a @ ( multiplicative_inverse @ b ) @
% 192.77/28.30 ( multiply @ c @ ( multiplicative_inverse @ d ) )),
% 192.77/28.30 inference('cnf.neg', [status(esa)], [product_7])).
% 192.77/28.30 thf(zip_derived_cl32, plain,
% 192.77/28.30 ( (product @ a @ (multiplicative_inverse @ b) @
% 192.77/28.30 (multiply @ c @ (multiplicative_inverse @ d)))),
% 192.77/28.30 inference('cnf', [status(esa)], [zf_stmt_2])).
% 192.77/28.30 thf(associativity_multiplication_2, axiom,
% 192.77/28.30 (( product @ U @ Z @ W ) | ( ~( product @ X @ Y @ U ) ) |
% 192.77/28.30 ( ~( product @ Y @ Z @ V ) ) | ( ~( product @ X @ V @ W ) ))).
% 192.77/28.30 thf(zip_derived_cl6, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 192.77/28.30 ( (product @ X0 @ X1 @ X2)
% 192.77/28.30 | ~ (product @ X3 @ X4 @ X0)
% 192.77/28.30 | ~ (product @ X4 @ X1 @ X5)
% 192.77/28.30 | ~ (product @ X3 @ X5 @ X2))),
% 192.77/28.30 inference('cnf', [status(esa)], [associativity_multiplication_2])).
% 192.77/28.30 thf(zip_derived_cl145, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 192.77/28.30 (~ (product @ a @ X1 @ X0)
% 192.77/28.30 | ~ (product @ (multiplicative_inverse @ b) @ X2 @ X1)
% 192.77/28.30 | (product @ (multiply @ c @ (multiplicative_inverse @ d)) @ X2 @ X0))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl6])).
% 192.77/28.30 thf(zip_derived_cl369, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 (~ (defined @ b)
% 192.77/28.30 | (sum @ additive_identity @ b @ additive_identity)
% 192.77/28.30 | (product @ (multiply @ c @ (multiplicative_inverse @ d)) @ b @ X0)
% 192.77/28.30 | ~ (product @ a @ multiplicative_identity @ X0))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl145])).
% 192.77/28.30 thf(b_is_defined, axiom, (defined @ b)).
% 192.77/28.30 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 192.77/28.30 inference('cnf', [status(esa)], [b_is_defined])).
% 192.77/28.30 thf(not_sum_5, conjecture, (sum @ additive_identity @ b @ additive_identity)).
% 192.77/28.30 thf(zf_stmt_3, negated_conjecture,
% 192.77/28.30 (~( sum @ additive_identity @ b @ additive_identity )),
% 192.77/28.30 inference('cnf.neg', [status(esa)], [not_sum_5])).
% 192.77/28.30 thf(zip_derived_cl30, plain,
% 192.77/28.30 (~ (sum @ additive_identity @ b @ additive_identity)),
% 192.77/28.30 inference('cnf', [status(esa)], [zf_stmt_3])).
% 192.77/28.30 thf(zip_derived_cl374, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (product @ (multiply @ c @ (multiplicative_inverse @ d)) @ b @ X0)
% 192.77/28.30 | ~ (product @ a @ multiplicative_identity @ X0))),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl369, zip_derived_cl27, zip_derived_cl30])).
% 192.77/28.30 thf(zip_derived_cl376, plain,
% 192.77/28.30 ((~ (defined @ a)
% 192.77/28.30 | (product @ (multiply @ c @ (multiplicative_inverse @ d)) @ b @ a))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl374])).
% 192.77/28.30 thf(a_is_defined, axiom, (defined @ a)).
% 192.77/28.30 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 192.77/28.30 inference('cnf', [status(esa)], [a_is_defined])).
% 192.77/28.30 thf(zip_derived_cl378, plain,
% 192.77/28.30 ( (product @ (multiply @ c @ (multiplicative_inverse @ d)) @ b @ a)),
% 192.77/28.30 inference('demod', [status(thm)], [zip_derived_cl376, zip_derived_cl26])).
% 192.77/28.30 thf(zip_derived_cl19, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i]:
% 192.77/28.30 ( (product @ X0 @ X1 @ (multiply @ X0 @ X1))
% 192.77/28.30 | ~ (defined @ X0)
% 192.77/28.30 | ~ (defined @ X1))),
% 192.77/28.30 inference('cnf', [status(esa)], [totality_of_multiplication])).
% 192.77/28.30 thf(associativity_multiplication_1, axiom,
% 192.77/28.30 (( product @ X @ V @ W ) | ( ~( product @ X @ Y @ U ) ) |
% 192.77/28.30 ( ~( product @ Y @ Z @ V ) ) | ( ~( product @ U @ Z @ W ) ))).
% 192.77/28.30 thf(zip_derived_cl5, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 192.77/28.30 ( (product @ X0 @ X1 @ X2)
% 192.77/28.30 | ~ (product @ X0 @ X3 @ X4)
% 192.77/28.30 | ~ (product @ X3 @ X5 @ X1)
% 192.77/28.30 | ~ (product @ X4 @ X5 @ X2))),
% 192.77/28.30 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 192.77/28.30 thf(zip_derived_cl168, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 192.77/28.30 (~ (defined @ X0)
% 192.77/28.30 | ~ (defined @ X1)
% 192.77/28.30 | ~ (product @ (multiply @ X1 @ X0) @ X3 @ X2)
% 192.77/28.30 | ~ (product @ X0 @ X3 @ X4)
% 192.77/28.30 | (product @ X1 @ X4 @ X2))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl5])).
% 192.77/28.30 thf(zip_derived_cl2404, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (product @ c @ X0 @ a)
% 192.77/28.30 | ~ (product @ (multiplicative_inverse @ d) @ b @ X0)
% 192.77/28.30 | ~ (defined @ c)
% 192.77/28.30 | ~ (defined @ (multiplicative_inverse @ d)))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl378, zip_derived_cl168])).
% 192.77/28.30 thf(c_is_defined, axiom, (defined @ c)).
% 192.77/28.30 thf(zip_derived_cl28, plain, ( (defined @ c)),
% 192.77/28.30 inference('cnf', [status(esa)], [c_is_defined])).
% 192.77/28.30 thf(well_definedness_of_multiplicative_inverse, axiom,
% 192.77/28.30 (( defined @ ( multiplicative_inverse @ X ) ) | ( ~( defined @ X ) ) |
% 192.77/28.30 ( sum @ additive_identity @ X @ additive_identity ))).
% 192.77/28.30 thf(zip_derived_cl17, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (defined @ (multiplicative_inverse @ X0))
% 192.77/28.30 | ~ (defined @ X0)
% 192.77/28.30 | (sum @ additive_identity @ X0 @ additive_identity))),
% 192.77/28.30 inference('cnf', [status(esa)],
% 192.77/28.30 [well_definedness_of_multiplicative_inverse])).
% 192.77/28.30 thf(zip_derived_cl31, plain,
% 192.77/28.30 (~ (sum @ additive_identity @ d @ additive_identity)),
% 192.77/28.30 inference('cnf', [status(esa)], [zf_stmt_1])).
% 192.77/28.30 thf(zip_derived_cl91, plain,
% 192.77/28.30 ((~ (defined @ d) | (defined @ (multiplicative_inverse @ d)))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl31])).
% 192.77/28.30 thf(zip_derived_cl29, plain, ( (defined @ d)),
% 192.77/28.30 inference('cnf', [status(esa)], [d_is_defined])).
% 192.77/28.30 thf(zip_derived_cl94, plain, ( (defined @ (multiplicative_inverse @ d))),
% 192.77/28.30 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl29])).
% 192.77/28.30 thf(zip_derived_cl2430, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (product @ c @ X0 @ a)
% 192.77/28.30 | ~ (product @ (multiplicative_inverse @ d) @ b @ X0))),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl2404, zip_derived_cl28, zip_derived_cl94])).
% 192.77/28.30 thf(zip_derived_cl2609, plain,
% 192.77/28.30 ((~ (defined @ b)
% 192.77/28.30 | ~ (defined @ (multiplicative_inverse @ d))
% 192.77/28.30 | (product @ c @ (multiply @ (multiplicative_inverse @ d) @ b) @ a))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl2430])).
% 192.77/28.30 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 192.77/28.30 inference('cnf', [status(esa)], [b_is_defined])).
% 192.77/28.30 thf(zip_derived_cl94, plain, ( (defined @ (multiplicative_inverse @ d))),
% 192.77/28.30 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl29])).
% 192.77/28.30 thf(zip_derived_cl2610, plain,
% 192.77/28.30 ( (product @ c @ (multiply @ (multiplicative_inverse @ d) @ b) @ a)),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl2609, zip_derived_cl27, zip_derived_cl94])).
% 192.77/28.30 thf(zip_derived_cl9, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 192.77/28.30 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 192.77/28.30 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 192.77/28.30 thf(zip_derived_cl2692, plain,
% 192.77/28.30 ( (product @ (multiply @ (multiplicative_inverse @ d) @ b) @ c @ a)),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl2610, zip_derived_cl9])).
% 192.77/28.30 thf(zip_derived_cl168, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 192.77/28.30 (~ (defined @ X0)
% 192.77/28.30 | ~ (defined @ X1)
% 192.77/28.30 | ~ (product @ (multiply @ X1 @ X0) @ X3 @ X2)
% 192.77/28.30 | ~ (product @ X0 @ X3 @ X4)
% 192.77/28.30 | (product @ X1 @ X4 @ X2))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl5])).
% 192.77/28.30 thf(zip_derived_cl2706, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (product @ (multiplicative_inverse @ d) @ X0 @ a)
% 192.77/28.30 | ~ (product @ b @ c @ X0)
% 192.77/28.30 | ~ (defined @ (multiplicative_inverse @ d))
% 192.77/28.30 | ~ (defined @ b))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl2692, zip_derived_cl168])).
% 192.77/28.30 thf(zip_derived_cl94, plain, ( (defined @ (multiplicative_inverse @ d))),
% 192.77/28.30 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl29])).
% 192.77/28.30 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 192.77/28.30 inference('cnf', [status(esa)], [b_is_defined])).
% 192.77/28.30 thf(zip_derived_cl2707, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (product @ (multiplicative_inverse @ d) @ X0 @ a)
% 192.77/28.30 | ~ (product @ b @ c @ X0))),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl2706, zip_derived_cl94, zip_derived_cl27])).
% 192.77/28.30 thf(zip_derived_cl2947, plain,
% 192.77/28.30 ((~ (defined @ c)
% 192.77/28.30 | ~ (defined @ b)
% 192.77/28.30 | (product @ (multiplicative_inverse @ d) @ (multiply @ b @ c) @ a))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl2707])).
% 192.77/28.30 thf(zip_derived_cl28, plain, ( (defined @ c)),
% 192.77/28.30 inference('cnf', [status(esa)], [c_is_defined])).
% 192.77/28.30 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 192.77/28.30 inference('cnf', [status(esa)], [b_is_defined])).
% 192.77/28.30 thf(zip_derived_cl2949, plain,
% 192.77/28.30 ( (product @ (multiplicative_inverse @ d) @ (multiply @ b @ c) @ a)),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl2947, zip_derived_cl28, zip_derived_cl27])).
% 192.77/28.30 thf(zip_derived_cl9, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 192.77/28.30 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 192.77/28.30 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 192.77/28.30 thf(zip_derived_cl2969, plain,
% 192.77/28.30 ( (product @ (multiply @ b @ c) @ (multiplicative_inverse @ d) @ a)),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl2949, zip_derived_cl9])).
% 192.77/28.30 thf(zip_derived_cl5, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 192.77/28.30 ( (product @ X0 @ X1 @ X2)
% 192.77/28.30 | ~ (product @ X0 @ X3 @ X4)
% 192.77/28.30 | ~ (product @ X3 @ X5 @ X1)
% 192.77/28.30 | ~ (product @ X4 @ X5 @ X2))),
% 192.77/28.30 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 192.77/28.30 thf(zip_derived_cl2985, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 192.77/28.30 (~ (product @ a @ X1 @ X0)
% 192.77/28.30 | ~ (product @ (multiplicative_inverse @ d) @ X1 @ X2)
% 192.77/28.30 | (product @ (multiply @ b @ c) @ X2 @ X0))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl2969, zip_derived_cl5])).
% 192.77/28.30 thf(zip_derived_cl183512, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (product @ (multiply @ b @ c) @ multiplicative_identity @ X0)
% 192.77/28.30 | ~ (product @ a @ d @ X0))),
% 192.77/28.30 inference('sup-', [status(thm)],
% 192.77/28.30 [zip_derived_cl12402, zip_derived_cl2985])).
% 192.77/28.30 thf(zip_derived_cl183541, plain,
% 192.77/28.30 ((~ (defined @ d)
% 192.77/28.30 | ~ (defined @ a)
% 192.77/28.30 | (product @ (multiply @ b @ c) @ multiplicative_identity @
% 192.77/28.30 (multiply @ a @ d)))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl183512])).
% 192.77/28.30 thf(zip_derived_cl29, plain, ( (defined @ d)),
% 192.77/28.30 inference('cnf', [status(esa)], [d_is_defined])).
% 192.77/28.30 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 192.77/28.30 inference('cnf', [status(esa)], [a_is_defined])).
% 192.77/28.30 thf(zip_derived_cl183543, plain,
% 192.77/28.30 ( (product @ (multiply @ b @ c) @ multiplicative_identity @
% 192.77/28.30 (multiply @ a @ d))),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl183541, zip_derived_cl29, zip_derived_cl26])).
% 192.77/28.30 thf(zip_derived_cl168, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 192.77/28.30 (~ (defined @ X0)
% 192.77/28.30 | ~ (defined @ X1)
% 192.77/28.30 | ~ (product @ (multiply @ X1 @ X0) @ X3 @ X2)
% 192.77/28.30 | ~ (product @ X0 @ X3 @ X4)
% 192.77/28.30 | (product @ X1 @ X4 @ X2))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl5])).
% 192.77/28.30 thf(zip_derived_cl183577, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (product @ b @ X0 @ (multiply @ a @ d))
% 192.77/28.30 | ~ (product @ c @ multiplicative_identity @ X0)
% 192.77/28.30 | ~ (defined @ b)
% 192.77/28.30 | ~ (defined @ c))),
% 192.77/28.30 inference('sup-', [status(thm)],
% 192.77/28.30 [zip_derived_cl183543, zip_derived_cl168])).
% 192.77/28.30 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 192.77/28.30 inference('cnf', [status(esa)], [b_is_defined])).
% 192.77/28.30 thf(zip_derived_cl28, plain, ( (defined @ c)),
% 192.77/28.30 inference('cnf', [status(esa)], [c_is_defined])).
% 192.77/28.30 thf(zip_derived_cl183589, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (product @ b @ X0 @ (multiply @ a @ d))
% 192.77/28.30 | ~ (product @ c @ multiplicative_identity @ X0))),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl183577, zip_derived_cl27, zip_derived_cl28])).
% 192.77/28.30 thf(zip_derived_cl183593, plain,
% 192.77/28.30 ((~ (defined @ c) | (product @ b @ c @ (multiply @ a @ d)))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl183589])).
% 192.77/28.30 thf(zip_derived_cl28, plain, ( (defined @ c)),
% 192.77/28.30 inference('cnf', [status(esa)], [c_is_defined])).
% 192.77/28.30 thf(zip_derived_cl183601, plain, ( (product @ b @ c @ (multiply @ a @ d))),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl183593, zip_derived_cl28])).
% 192.77/28.30 thf(zip_derived_cl19, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i]:
% 192.77/28.30 ( (product @ X0 @ X1 @ (multiply @ X0 @ X1))
% 192.77/28.30 | ~ (defined @ X0)
% 192.77/28.30 | ~ (defined @ X1))),
% 192.77/28.30 inference('cnf', [status(esa)], [totality_of_multiplication])).
% 192.77/28.30 thf(zip_derived_cl7, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 192.77/28.30 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 192.77/28.30 thf(zip_derived_cl5, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 192.77/28.30 ( (product @ X0 @ X1 @ X2)
% 192.77/28.30 | ~ (product @ X0 @ X3 @ X4)
% 192.77/28.30 | ~ (product @ X3 @ X5 @ X1)
% 192.77/28.30 | ~ (product @ X4 @ X5 @ X2))),
% 192.77/28.30 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 192.77/28.30 thf(zip_derived_cl105, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 192.77/28.30 (~ (defined @ X0)
% 192.77/28.30 | ~ (product @ X0 @ X2 @ X1)
% 192.77/28.30 | ~ (product @ X0 @ X2 @ X3)
% 192.77/28.30 | (product @ multiplicative_identity @ X3 @ X1))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 192.77/28.30 thf(zip_derived_cl1494, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 192.77/28.30 (~ (defined @ X0)
% 192.77/28.30 | ~ (defined @ X1)
% 192.77/28.30 | (product @ multiplicative_identity @ X2 @ (multiply @ X1 @ X0))
% 192.77/28.30 | ~ (product @ X1 @ X0 @ X2)
% 192.77/28.30 | ~ (defined @ X1))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl105])).
% 192.77/28.30 thf(zip_derived_cl1549, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 192.77/28.30 (~ (product @ X1 @ X0 @ X2)
% 192.77/28.30 | (product @ multiplicative_identity @ X2 @ (multiply @ X1 @ X0))
% 192.77/28.30 | ~ (defined @ X1)
% 192.77/28.30 | ~ (defined @ X0))),
% 192.77/28.30 inference('simplify', [status(thm)], [zip_derived_cl1494])).
% 192.77/28.30 thf(zip_derived_cl183606, plain,
% 192.77/28.30 ((~ (defined @ c)
% 192.77/28.30 | ~ (defined @ b)
% 192.77/28.30 | (product @ multiplicative_identity @ (multiply @ a @ d) @
% 192.77/28.30 (multiply @ b @ c)))),
% 192.77/28.30 inference('sup-', [status(thm)],
% 192.77/28.30 [zip_derived_cl183601, zip_derived_cl1549])).
% 192.77/28.30 thf(zip_derived_cl28, plain, ( (defined @ c)),
% 192.77/28.30 inference('cnf', [status(esa)], [c_is_defined])).
% 192.77/28.30 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 192.77/28.30 inference('cnf', [status(esa)], [b_is_defined])).
% 192.77/28.30 thf(zip_derived_cl183630, plain,
% 192.77/28.30 ( (product @ multiplicative_identity @ (multiply @ a @ d) @
% 192.77/28.30 (multiply @ b @ c))),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl183606, zip_derived_cl28, zip_derived_cl27])).
% 192.77/28.30 thf(zip_derived_cl9, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 192.77/28.30 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 192.77/28.30 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 192.77/28.30 thf(zip_derived_cl184818, plain,
% 192.77/28.30 ( (product @ (multiply @ a @ d) @ multiplicative_identity @
% 192.77/28.30 (multiply @ b @ c))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl183630, zip_derived_cl9])).
% 192.77/28.30 thf(zip_derived_cl168, plain,
% 192.77/28.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 192.77/28.30 (~ (defined @ X0)
% 192.77/28.30 | ~ (defined @ X1)
% 192.77/28.30 | ~ (product @ (multiply @ X1 @ X0) @ X3 @ X2)
% 192.77/28.30 | ~ (product @ X0 @ X3 @ X4)
% 192.77/28.30 | (product @ X1 @ X4 @ X2))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl5])).
% 192.77/28.30 thf(zip_derived_cl188201, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (product @ a @ X0 @ (multiply @ b @ c))
% 192.77/28.30 | ~ (product @ d @ multiplicative_identity @ X0)
% 192.77/28.30 | ~ (defined @ a)
% 192.77/28.30 | ~ (defined @ d))),
% 192.77/28.30 inference('sup-', [status(thm)],
% 192.77/28.30 [zip_derived_cl184818, zip_derived_cl168])).
% 192.77/28.30 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 192.77/28.30 inference('cnf', [status(esa)], [a_is_defined])).
% 192.77/28.30 thf(zip_derived_cl29, plain, ( (defined @ d)),
% 192.77/28.30 inference('cnf', [status(esa)], [d_is_defined])).
% 192.77/28.30 thf(zip_derived_cl188211, plain,
% 192.77/28.30 (![X0 : $i]:
% 192.77/28.30 ( (product @ a @ X0 @ (multiply @ b @ c))
% 192.77/28.30 | ~ (product @ d @ multiplicative_identity @ X0))),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl188201, zip_derived_cl26, zip_derived_cl29])).
% 192.77/28.30 thf(zip_derived_cl188215, plain,
% 192.77/28.30 ((~ (defined @ d) | (product @ a @ d @ (multiply @ b @ c)))),
% 192.77/28.30 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl188211])).
% 192.77/28.30 thf(zip_derived_cl29, plain, ( (defined @ d)),
% 192.77/28.30 inference('cnf', [status(esa)], [d_is_defined])).
% 192.77/28.30 thf(zip_derived_cl188218, plain, ( (product @ a @ d @ (multiply @ b @ c))),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl188215, zip_derived_cl29])).
% 192.77/28.30 thf(zip_derived_cl188219, plain, ($false),
% 192.77/28.30 inference('demod', [status(thm)],
% 192.77/28.30 [zip_derived_cl33, zip_derived_cl188218])).
% 192.77/28.30
% 192.77/28.30 % SZS output end Refutation
% 192.77/28.30
% 192.77/28.30
% 192.77/28.30 % Terminating...
% 193.09/28.36 % Runner terminated.
% 193.09/28.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------