TSTP Solution File: FLD050-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD050-3 : 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.5zWs6u86JD true
% Computer : n022.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 44.20s 7.20s
% Output : Refutation 44.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD050-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5zWs6u86JD true
% 0.14/0.35 % Computer : n022.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 : Sun Aug 27 23:09:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/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
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 44.20/7.20 % Solved by fo/fo13.sh.
% 44.20/7.20 % done 4522 iterations in 6.409s
% 44.20/7.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 44.20/7.20 % SZS output start Refutation
% 44.20/7.20 thf(sum_type, type, sum: $i > $i > $i > $o).
% 44.20/7.20 thf(b_type, type, b: $i).
% 44.20/7.20 thf(a_type, type, a: $i).
% 44.20/7.20 thf(d_type, type, d: $i).
% 44.20/7.20 thf(product_type, type, product: $i > $i > $i > $o).
% 44.20/7.20 thf(additive_identity_type, type, additive_identity: $i).
% 44.20/7.20 thf(multiply_type, type, multiply: $i > $i > $i).
% 44.20/7.20 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 44.20/7.20 thf(c_type, type, c: $i).
% 44.20/7.20 thf(multiplicative_inverse_type, type, multiplicative_inverse: $i > $i).
% 44.20/7.20 thf(defined_type, type, defined: $i > $o).
% 44.20/7.20 thf(not_sum_6, conjecture, (sum @ additive_identity @ d @ additive_identity)).
% 44.20/7.20 thf(zf_stmt_0, negated_conjecture,
% 44.20/7.20 (~( sum @ additive_identity @ d @ additive_identity )),
% 44.20/7.20 inference('cnf.neg', [status(esa)], [not_sum_6])).
% 44.20/7.20 thf(zip_derived_cl31, plain,
% 44.20/7.20 (~ (sum @ additive_identity @ d @ additive_identity)),
% 44.20/7.20 inference('cnf', [status(esa)], [zf_stmt_0])).
% 44.20/7.20 thf(well_definedness_of_multiplicative_inverse, axiom,
% 44.20/7.20 (( defined @ ( multiplicative_inverse @ X ) ) | ( ~( defined @ X ) ) |
% 44.20/7.20 ( sum @ additive_identity @ X @ additive_identity ))).
% 44.20/7.20 thf(zip_derived_cl17, plain,
% 44.20/7.20 (![X0 : $i]:
% 44.20/7.20 ( (defined @ (multiplicative_inverse @ X0))
% 44.20/7.20 | ~ (defined @ X0)
% 44.20/7.20 | (sum @ additive_identity @ X0 @ additive_identity))),
% 44.20/7.20 inference('cnf', [status(esa)],
% 44.20/7.20 [well_definedness_of_multiplicative_inverse])).
% 44.20/7.20 thf(well_definedness_of_multiplication, axiom,
% 44.20/7.20 (( defined @ ( multiply @ X @ Y ) ) | ( ~( defined @ X ) ) |
% 44.20/7.20 ( ~( defined @ Y ) ))).
% 44.20/7.20 thf(zip_derived_cl15, plain,
% 44.20/7.20 (![X0 : $i, X1 : $i]:
% 44.20/7.20 ( (defined @ (multiply @ X0 @ X1))
% 44.20/7.20 | ~ (defined @ X0)
% 44.20/7.20 | ~ (defined @ X1))),
% 44.20/7.20 inference('cnf', [status(esa)], [well_definedness_of_multiplication])).
% 44.20/7.20 thf(existence_of_inverse_multiplication, axiom,
% 44.20/7.20 (( product @ ( multiplicative_inverse @ X ) @ X @ multiplicative_identity ) |
% 44.20/7.20 ( sum @ additive_identity @ X @ additive_identity ) | ( ~( defined @ X ) ))).
% 44.20/7.20 thf(zip_derived_cl8, plain,
% 44.20/7.20 (![X0 : $i]:
% 44.20/7.20 ( (product @ (multiplicative_inverse @ X0) @ X0 @
% 44.20/7.20 multiplicative_identity)
% 44.20/7.20 | (sum @ additive_identity @ X0 @ additive_identity)
% 44.20/7.20 | ~ (defined @ X0))),
% 44.20/7.20 inference('cnf', [status(esa)], [existence_of_inverse_multiplication])).
% 44.20/7.20 thf(zip_derived_cl17, plain,
% 44.20/7.20 (![X0 : $i]:
% 44.20/7.20 ( (defined @ (multiplicative_inverse @ X0))
% 44.20/7.20 | ~ (defined @ X0)
% 44.20/7.20 | (sum @ additive_identity @ X0 @ additive_identity))),
% 44.20/7.20 inference('cnf', [status(esa)],
% 44.20/7.20 [well_definedness_of_multiplicative_inverse])).
% 44.20/7.20 thf(totality_of_multiplication, axiom,
% 44.20/7.20 (( product @ X @ Y @ ( multiply @ X @ Y ) ) | ( ~( defined @ X ) ) |
% 44.20/7.20 ( ~( defined @ Y ) ))).
% 44.20/7.20 thf(zip_derived_cl19, plain,
% 44.20/7.20 (![X0 : $i, X1 : $i]:
% 44.20/7.20 ( (product @ X0 @ X1 @ (multiply @ X0 @ X1))
% 44.20/7.20 | ~ (defined @ X0)
% 44.20/7.20 | ~ (defined @ X1))),
% 44.20/7.20 inference('cnf', [status(esa)], [totality_of_multiplication])).
% 44.20/7.20 thf(existence_of_identity_multiplication, axiom,
% 44.20/7.20 (( product @ multiplicative_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 44.20/7.20 thf(zip_derived_cl7, plain,
% 44.20/7.20 (![X0 : $i]:
% 44.20/7.20 ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 44.20/7.20 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 44.20/7.20 thf(commutativity_multiplication, axiom,
% 44.20/7.20 (( product @ Y @ X @ Z ) | ( ~( product @ X @ Y @ Z ) ))).
% 44.20/7.20 thf(zip_derived_cl9, plain,
% 44.20/7.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 44.20/7.20 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 44.20/7.20 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 44.20/7.20 thf(zip_derived_cl41, plain,
% 44.20/7.20 (![X0 : $i]:
% 44.20/7.20 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 44.20/7.20 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 44.20/7.20 thf(zip_derived_cl8, plain,
% 44.20/7.20 (![X0 : $i]:
% 44.20/7.20 ( (product @ (multiplicative_inverse @ X0) @ X0 @
% 44.20/7.20 multiplicative_identity)
% 44.20/7.20 | (sum @ additive_identity @ X0 @ additive_identity)
% 44.20/7.20 | ~ (defined @ X0))),
% 44.20/7.20 inference('cnf', [status(esa)], [existence_of_inverse_multiplication])).
% 44.20/7.20 thf(zip_derived_cl9, plain,
% 44.20/7.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 44.20/7.20 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 44.20/7.20 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 44.20/7.20 thf(zip_derived_cl84, plain,
% 44.20/7.20 (![X0 : $i]:
% 44.20/7.20 (~ (defined @ X0)
% 44.20/7.20 | (sum @ additive_identity @ X0 @ additive_identity)
% 44.20/7.20 | (product @ X0 @ (multiplicative_inverse @ X0) @
% 44.20/7.20 multiplicative_identity))),
% 44.20/7.20 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl9])).
% 44.20/7.20 thf(product_7, conjecture, (~( product @ a @ d @ ( multiply @ b @ c ) ))).
% 44.20/7.20 thf(zf_stmt_1, negated_conjecture, (product @ a @ d @ ( multiply @ b @ c )),
% 44.20/7.20 inference('cnf.neg', [status(esa)], [product_7])).
% 44.20/7.20 thf(zip_derived_cl32, plain, ( (product @ a @ d @ (multiply @ b @ c))),
% 44.20/7.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 44.20/7.20 thf(associativity_multiplication_2, axiom,
% 44.20/7.20 (( product @ U @ Z @ W ) | ( ~( product @ X @ Y @ U ) ) |
% 44.20/7.20 ( ~( product @ Y @ Z @ V ) ) | ( ~( product @ X @ V @ W ) ))).
% 44.20/7.20 thf(zip_derived_cl6, plain,
% 44.20/7.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 44.20/7.20 ( (product @ X0 @ X1 @ X2)
% 44.20/7.20 | ~ (product @ X3 @ X4 @ X0)
% 44.20/7.20 | ~ (product @ X4 @ X1 @ X5)
% 44.20/7.20 | ~ (product @ X3 @ X5 @ X2))),
% 44.20/7.20 inference('cnf', [status(esa)], [associativity_multiplication_2])).
% 44.20/7.20 thf(zip_derived_cl68, plain,
% 44.20/7.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 44.20/7.20 ( (product @ (multiply @ b @ c) @ X1 @ X0)
% 44.20/7.20 | ~ (product @ d @ X1 @ X2)
% 44.20/7.20 | ~ (product @ a @ X2 @ X0))),
% 44.20/7.20 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl6])).
% 44.20/7.20 thf(zip_derived_cl990, plain,
% 44.20/7.20 (![X0 : $i]:
% 44.20/7.20 ( (sum @ additive_identity @ d @ additive_identity)
% 44.20/7.20 | ~ (defined @ d)
% 44.20/7.20 | (product @ (multiply @ b @ c) @ (multiplicative_inverse @ d) @ X0)
% 44.20/7.20 | ~ (product @ a @ multiplicative_identity @ X0))),
% 44.20/7.20 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl68])).
% 44.20/7.20 thf(zip_derived_cl31, plain,
% 44.20/7.20 (~ (sum @ additive_identity @ d @ additive_identity)),
% 44.20/7.20 inference('cnf', [status(esa)], [zf_stmt_0])).
% 44.20/7.20 thf(d_is_defined, axiom, (defined @ d)).
% 44.20/7.20 thf(zip_derived_cl29, plain, ( (defined @ d)),
% 44.20/7.20 inference('cnf', [status(esa)], [d_is_defined])).
% 44.20/7.20 thf(zip_derived_cl996, plain,
% 44.20/7.20 (![X0 : $i]:
% 44.20/7.20 ( (product @ (multiply @ b @ c) @ (multiplicative_inverse @ d) @ X0)
% 44.20/7.20 | ~ (product @ a @ multiplicative_identity @ X0))),
% 44.20/7.20 inference('demod', [status(thm)],
% 44.20/7.20 [zip_derived_cl990, zip_derived_cl31, zip_derived_cl29])).
% 44.20/7.20 thf(zip_derived_cl24431, plain,
% 44.20/7.20 ((~ (defined @ a)
% 44.20/7.20 | (product @ (multiply @ b @ c) @ (multiplicative_inverse @ d) @ a))),
% 44.20/7.20 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl996])).
% 44.20/7.20 thf(a_is_defined, axiom, (defined @ a)).
% 44.20/7.20 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 44.20/7.20 inference('cnf', [status(esa)], [a_is_defined])).
% 44.20/7.20 thf(zip_derived_cl24434, plain,
% 44.20/7.20 ( (product @ (multiply @ b @ c) @ (multiplicative_inverse @ d) @ a)),
% 44.20/7.20 inference('demod', [status(thm)], [zip_derived_cl24431, zip_derived_cl26])).
% 44.20/7.20 thf(zip_derived_cl19, plain,
% 44.20/7.20 (![X0 : $i, X1 : $i]:
% 44.20/7.20 ( (product @ X0 @ X1 @ (multiply @ X0 @ X1))
% 44.20/7.20 | ~ (defined @ X0)
% 44.20/7.20 | ~ (defined @ X1))),
% 44.20/7.20 inference('cnf', [status(esa)], [totality_of_multiplication])).
% 44.20/7.20 thf(associativity_multiplication_1, axiom,
% 44.20/7.20 (( product @ X @ V @ W ) | ( ~( product @ X @ Y @ U ) ) |
% 44.20/7.20 ( ~( product @ Y @ Z @ V ) ) | ( ~( product @ U @ Z @ W ) ))).
% 44.20/7.20 thf(zip_derived_cl5, plain,
% 44.20/7.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 44.20/7.20 ( (product @ X0 @ X1 @ X2)
% 44.20/7.20 | ~ (product @ X0 @ X3 @ X4)
% 44.20/7.20 | ~ (product @ X3 @ X5 @ X1)
% 44.20/7.20 | ~ (product @ X4 @ X5 @ X2))),
% 44.20/7.20 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 44.20/7.20 thf(zip_derived_cl99, plain,
% 44.20/7.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 44.20/7.20 (~ (defined @ X0)
% 44.20/7.20 | ~ (defined @ X1)
% 44.20/7.20 | (product @ X1 @ X3 @ X2)
% 44.20/7.20 | ~ (product @ X0 @ X4 @ X3)
% 44.20/7.20 | ~ (product @ (multiply @ X1 @ X0) @ X4 @ X2))),
% 44.20/7.20 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl5])).
% 44.20/7.20 thf(zip_derived_cl24460, plain,
% 44.20/7.20 (![X0 : $i]:
% 44.20/7.20 (~ (defined @ c)
% 44.20/7.20 | ~ (defined @ b)
% 44.20/7.20 | (product @ b @ X0 @ a)
% 44.20/7.20 | ~ (product @ c @ (multiplicative_inverse @ d) @ X0))),
% 44.20/7.20 inference('s_sup-', [status(thm)],
% 44.20/7.20 [zip_derived_cl24434, zip_derived_cl99])).
% 44.20/7.20 thf(c_is_defined, axiom, (defined @ c)).
% 44.20/7.20 thf(zip_derived_cl28, plain, ( (defined @ c)),
% 44.20/7.20 inference('cnf', [status(esa)], [c_is_defined])).
% 44.20/7.20 thf(b_is_defined, axiom, (defined @ b)).
% 44.20/7.20 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 44.20/7.20 inference('cnf', [status(esa)], [b_is_defined])).
% 44.20/7.20 thf(zip_derived_cl24474, plain,
% 44.20/7.20 (![X0 : $i]:
% 44.20/7.20 ( (product @ b @ X0 @ a)
% 44.20/7.20 | ~ (product @ c @ (multiplicative_inverse @ d) @ X0))),
% 44.20/7.20 inference('demod', [status(thm)],
% 44.20/7.20 [zip_derived_cl24460, zip_derived_cl28, zip_derived_cl27])).
% 44.20/7.20 thf(zip_derived_cl34213, plain,
% 44.20/7.20 ((~ (defined @ (multiplicative_inverse @ d))
% 44.20/7.20 | ~ (defined @ c)
% 44.20/7.20 | (product @ b @ (multiply @ c @ (multiplicative_inverse @ d)) @ a))),
% 44.20/7.20 inference('s_sup-', [status(thm)],
% 44.20/7.20 [zip_derived_cl19, zip_derived_cl24474])).
% 44.20/7.20 thf(zip_derived_cl28, plain, ( (defined @ c)),
% 44.20/7.20 inference('cnf', [status(esa)], [c_is_defined])).
% 44.20/7.20 thf(zip_derived_cl34215, plain,
% 44.20/7.20 ((~ (defined @ (multiplicative_inverse @ d))
% 44.20/7.20 | (product @ b @ (multiply @ c @ (multiplicative_inverse @ d)) @ a))),
% 44.20/7.20 inference('demod', [status(thm)], [zip_derived_cl34213, zip_derived_cl28])).
% 44.20/7.20 thf(zip_derived_cl34367, plain,
% 44.20/7.20 (( (sum @ additive_identity @ d @ additive_identity)
% 44.20/7.20 | ~ (defined @ d)
% 44.20/7.20 | (product @ b @ (multiply @ c @ (multiplicative_inverse @ d)) @ a))),
% 44.20/7.20 inference('s_sup-', [status(thm)],
% 44.20/7.20 [zip_derived_cl17, zip_derived_cl34215])).
% 44.20/7.20 thf(zip_derived_cl31, plain,
% 44.20/7.20 (~ (sum @ additive_identity @ d @ additive_identity)),
% 44.20/7.20 inference('cnf', [status(esa)], [zf_stmt_0])).
% 44.20/7.20 thf(zip_derived_cl29, plain, ( (defined @ d)),
% 44.20/7.20 inference('cnf', [status(esa)], [d_is_defined])).
% 44.20/7.20 thf(zip_derived_cl34368, plain,
% 44.20/7.20 ( (product @ b @ (multiply @ c @ (multiplicative_inverse @ d)) @ a)),
% 44.20/7.20 inference('demod', [status(thm)],
% 44.20/7.20 [zip_derived_cl34367, zip_derived_cl31, zip_derived_cl29])).
% 44.20/7.20 thf(not_product_8, conjecture,
% 44.20/7.20 (product @
% 44.20/7.20 a @ ( multiplicative_inverse @ b ) @
% 44.20/7.20 ( multiply @ c @ ( multiplicative_inverse @ d ) ))).
% 44.20/7.20 thf(zf_stmt_2, negated_conjecture,
% 44.20/7.20 (~( product @
% 44.20/7.20 a @ ( multiplicative_inverse @ b ) @
% 44.20/7.20 ( multiply @ c @ ( multiplicative_inverse @ d ) ) )),
% 44.20/7.20 inference('cnf.neg', [status(esa)], [not_product_8])).
% 44.20/7.20 thf(zip_derived_cl33, plain,
% 44.20/7.20 (~ (product @ a @ (multiplicative_inverse @ b) @
% 44.20/7.20 (multiply @ c @ (multiplicative_inverse @ d)))),
% 44.20/7.20 inference('cnf', [status(esa)], [zf_stmt_2])).
% 44.20/7.20 thf(zip_derived_cl9, plain,
% 44.20/7.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 44.20/7.20 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 44.20/7.20 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 44.20/7.20 thf(zip_derived_cl40, plain,
% 44.20/7.20 (~ (product @ (multiplicative_inverse @ b) @ a @
% 44.20/7.20 (multiply @ c @ (multiplicative_inverse @ d)))),
% 44.20/7.20 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl9])).
% 44.20/7.20 thf(zip_derived_cl5, plain,
% 44.20/7.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 44.20/7.20 ( (product @ X0 @ X1 @ X2)
% 44.20/7.20 | ~ (product @ X0 @ X3 @ X4)
% 44.20/7.20 | ~ (product @ X3 @ X5 @ X1)
% 44.20/7.20 | ~ (product @ X4 @ X5 @ X2))),
% 44.20/7.20 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 44.20/7.20 thf(zip_derived_cl48, plain,
% 44.20/7.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 44.20/7.20 (~ (product @ (multiplicative_inverse @ b) @ X1 @ X0)
% 44.20/7.20 | ~ (product @ X1 @ X2 @ a)
% 44.20/7.20 | ~ (product @ X0 @ X2 @
% 44.20/7.20 (multiply @ c @ (multiplicative_inverse @ d))))),
% 44.20/7.20 inference('s_sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl5])).
% 44.20/7.20 thf(zip_derived_cl34386, plain,
% 44.20/7.20 (![X0 : $i]:
% 44.20/7.20 (~ (product @ (multiplicative_inverse @ b) @ b @ X0)
% 44.20/7.20 | ~ (product @ X0 @ (multiply @ c @ (multiplicative_inverse @ d)) @
% 44.20/7.20 (multiply @ c @ (multiplicative_inverse @ d))))),
% 44.20/7.20 inference('s_sup-', [status(thm)],
% 44.20/7.20 [zip_derived_cl34368, zip_derived_cl48])).
% 44.20/7.20 thf(zip_derived_cl35610, plain,
% 44.20/7.20 ((~ (defined @ b)
% 44.20/7.20 | (sum @ additive_identity @ b @ additive_identity)
% 44.20/7.20 | ~ (product @ multiplicative_identity @
% 44.20/7.20 (multiply @ c @ (multiplicative_inverse @ d)) @
% 44.20/7.20 (multiply @ c @ (multiplicative_inverse @ d))))),
% 44.20/7.20 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl34386])).
% 44.20/7.20 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 44.20/7.20 inference('cnf', [status(esa)], [b_is_defined])).
% 44.20/7.20 thf(not_sum_5, conjecture, (sum @ additive_identity @ b @ additive_identity)).
% 44.20/7.20 thf(zf_stmt_3, negated_conjecture,
% 44.20/7.20 (~( sum @ additive_identity @ b @ additive_identity )),
% 44.20/7.20 inference('cnf.neg', [status(esa)], [not_sum_5])).
% 44.20/7.20 thf(zip_derived_cl30, plain,
% 44.20/7.20 (~ (sum @ additive_identity @ b @ additive_identity)),
% 44.20/7.20 inference('cnf', [status(esa)], [zf_stmt_3])).
% 44.20/7.20 thf(zip_derived_cl35613, plain,
% 44.20/7.20 (~ (product @ multiplicative_identity @
% 44.20/7.20 (multiply @ c @ (multiplicative_inverse @ d)) @
% 44.20/7.20 (multiply @ c @ (multiplicative_inverse @ d)))),
% 44.20/7.20 inference('demod', [status(thm)],
% 44.20/7.20 [zip_derived_cl35610, zip_derived_cl27, zip_derived_cl30])).
% 44.20/7.20 thf(zip_derived_cl7, plain,
% 44.20/7.20 (![X0 : $i]:
% 44.20/7.20 ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 44.20/7.20 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 44.20/7.20 thf(zip_derived_cl35626, plain,
% 44.20/7.20 (~ (defined @ (multiply @ c @ (multiplicative_inverse @ d)))),
% 44.20/7.20 inference('s_sup+', [status(thm)], [zip_derived_cl35613, zip_derived_cl7])).
% 44.20/7.20 thf(zip_derived_cl35648, plain,
% 44.20/7.20 ((~ (defined @ (multiplicative_inverse @ d)) | ~ (defined @ c))),
% 44.20/7.20 inference('s_sup-', [status(thm)],
% 44.20/7.20 [zip_derived_cl15, zip_derived_cl35626])).
% 44.20/7.20 thf(zip_derived_cl28, plain, ( (defined @ c)),
% 44.20/7.20 inference('cnf', [status(esa)], [c_is_defined])).
% 44.20/7.20 thf(zip_derived_cl35649, plain, (~ (defined @ (multiplicative_inverse @ d))),
% 44.20/7.20 inference('demod', [status(thm)], [zip_derived_cl35648, zip_derived_cl28])).
% 44.20/7.20 thf(zip_derived_cl35651, plain,
% 44.20/7.20 (( (sum @ additive_identity @ d @ additive_identity) | ~ (defined @ d))),
% 44.20/7.20 inference('s_sup-', [status(thm)],
% 44.20/7.20 [zip_derived_cl17, zip_derived_cl35649])).
% 44.20/7.20 thf(zip_derived_cl29, plain, ( (defined @ d)),
% 44.20/7.20 inference('cnf', [status(esa)], [d_is_defined])).
% 44.20/7.20 thf(zip_derived_cl35652, plain,
% 44.20/7.20 ( (sum @ additive_identity @ d @ additive_identity)),
% 44.20/7.20 inference('demod', [status(thm)], [zip_derived_cl35651, zip_derived_cl29])).
% 44.20/7.20 thf(zip_derived_cl35653, plain, ($false),
% 44.20/7.20 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl35652])).
% 44.20/7.20
% 44.20/7.20 % SZS output end Refutation
% 44.20/7.20
% 44.20/7.20
% 44.20/7.20 % Terminating...
% 45.08/7.33 % Runner terminated.
% 45.08/7.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------