TSTP Solution File: FLD050-4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD050-4 : 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.YIojO671RA true
% Computer : n027.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 22:39:28 EDT 2023
% Result : Unsatisfiable 9.11s 1.93s
% Output : Refutation 9.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD050-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YIojO671RA true
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 01:16:06 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % 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
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 9.11/1.93 % Solved by fo/fo7.sh.
% 9.11/1.93 % done 2776 iterations in 1.154s
% 9.11/1.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.11/1.93 % SZS output start Refutation
% 9.11/1.93 thf(sum_type, type, sum: $i > $i > $i > $o).
% 9.11/1.93 thf(b_type, type, b: $i).
% 9.11/1.93 thf(a_type, type, a: $i).
% 9.11/1.93 thf(s_type, type, s: $i).
% 9.11/1.93 thf(d_type, type, d: $i).
% 9.11/1.93 thf(product_type, type, product: $i > $i > $i > $o).
% 9.11/1.93 thf(additive_identity_type, type, additive_identity: $i).
% 9.11/1.93 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 9.11/1.93 thf(c_type, type, c: $i).
% 9.11/1.93 thf(k_type, type, k: $i).
% 9.11/1.93 thf(multiplicative_inverse_type, type, multiplicative_inverse: $i > $i).
% 9.11/1.93 thf(defined_type, type, defined: $i > $o).
% 9.11/1.93 thf(not_product_12, conjecture,
% 9.11/1.93 (product @ c @ ( multiplicative_inverse @ d ) @ s)).
% 9.11/1.93 thf(zf_stmt_0, negated_conjecture,
% 9.11/1.93 (~( product @ c @ ( multiplicative_inverse @ d ) @ s )),
% 9.11/1.93 inference('cnf.neg', [status(esa)], [not_product_12])).
% 9.11/1.93 thf(zip_derived_cl37, plain,
% 9.11/1.93 (~ (product @ c @ (multiplicative_inverse @ d) @ s)),
% 9.11/1.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.11/1.93 thf(existence_of_inverse_multiplication, axiom,
% 9.11/1.93 (( product @ ( multiplicative_inverse @ X ) @ X @ multiplicative_identity ) |
% 9.11/1.93 ( sum @ additive_identity @ X @ additive_identity ) | ( ~( defined @ X ) ))).
% 9.11/1.93 thf(zip_derived_cl8, plain,
% 9.11/1.93 (![X0 : $i]:
% 9.11/1.93 ( (product @ (multiplicative_inverse @ X0) @ X0 @
% 9.11/1.93 multiplicative_identity)
% 9.11/1.93 | (sum @ additive_identity @ X0 @ additive_identity)
% 9.11/1.93 | ~ (defined @ X0))),
% 9.11/1.93 inference('cnf', [status(esa)], [existence_of_inverse_multiplication])).
% 9.11/1.93 thf(commutativity_multiplication, axiom,
% 9.11/1.93 (( product @ Y @ X @ Z ) | ( ~( product @ X @ Y @ Z ) ))).
% 9.11/1.93 thf(zip_derived_cl9, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.11/1.93 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 9.11/1.93 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 9.11/1.93 thf(zip_derived_cl78, plain,
% 9.11/1.93 (![X0 : $i]:
% 9.11/1.93 (~ (defined @ X0)
% 9.11/1.93 | (sum @ additive_identity @ X0 @ additive_identity)
% 9.11/1.93 | (product @ X0 @ (multiplicative_inverse @ X0) @
% 9.11/1.93 multiplicative_identity))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl9])).
% 9.11/1.93 thf(existence_of_identity_multiplication, axiom,
% 9.11/1.93 (( product @ multiplicative_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 9.11/1.93 thf(zip_derived_cl7, plain,
% 9.11/1.93 (![X0 : $i]:
% 9.11/1.93 ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 9.11/1.93 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 9.11/1.93 thf(zip_derived_cl9, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.11/1.93 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 9.11/1.93 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 9.11/1.93 thf(zip_derived_cl49, plain,
% 9.11/1.93 (![X0 : $i]:
% 9.11/1.93 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 9.11/1.93 thf(product_9, conjecture,
% 9.11/1.93 (~( product @ a @ ( multiplicative_inverse @ b ) @ s ))).
% 9.11/1.93 thf(zf_stmt_1, negated_conjecture,
% 9.11/1.93 (product @ a @ ( multiplicative_inverse @ b ) @ s),
% 9.11/1.93 inference('cnf.neg', [status(esa)], [product_9])).
% 9.11/1.93 thf(zip_derived_cl34, plain,
% 9.11/1.93 ( (product @ a @ (multiplicative_inverse @ b) @ s)),
% 9.11/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.11/1.93 thf(zip_derived_cl9, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.11/1.93 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 9.11/1.93 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 9.11/1.93 thf(zip_derived_cl46, plain,
% 9.11/1.93 ( (product @ (multiplicative_inverse @ b) @ a @ s)),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl9])).
% 9.11/1.93 thf(associativity_multiplication_2, axiom,
% 9.11/1.93 (( product @ U @ Z @ W ) | ( ~( product @ X @ Y @ U ) ) |
% 9.11/1.93 ( ~( product @ Y @ Z @ V ) ) | ( ~( product @ X @ V @ W ) ))).
% 9.11/1.93 thf(zip_derived_cl6, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.11/1.93 ( (product @ X0 @ X1 @ X2)
% 9.11/1.93 | ~ (product @ X3 @ X4 @ X0)
% 9.11/1.93 | ~ (product @ X4 @ X1 @ X5)
% 9.11/1.93 | ~ (product @ X3 @ X5 @ X2))),
% 9.11/1.93 inference('cnf', [status(esa)], [associativity_multiplication_2])).
% 9.11/1.93 thf(zip_derived_cl3221, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.11/1.93 (~ (product @ X2 @ X1 @ X0)
% 9.11/1.93 | ~ (product @ X1 @ X3 @ X1)
% 9.11/1.93 | (product @ X0 @ X3 @ X0))),
% 9.11/1.93 inference('eq_fact', [status(thm)], [zip_derived_cl6])).
% 9.11/1.93 thf(zip_derived_cl3232, plain,
% 9.11/1.93 (![X0 : $i]: ( (product @ s @ X0 @ s) | ~ (product @ a @ X0 @ a))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl3221])).
% 9.11/1.93 thf(zip_derived_cl9, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.11/1.93 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 9.11/1.93 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 9.11/1.93 thf(zip_derived_cl3273, plain,
% 9.11/1.93 (![X0 : $i]: (~ (product @ a @ X0 @ a) | (product @ X0 @ s @ s))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl3232, zip_derived_cl9])).
% 9.11/1.93 thf(zip_derived_cl3337, plain,
% 9.11/1.93 ((~ (defined @ a) | (product @ multiplicative_identity @ s @ s))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl3273])).
% 9.11/1.93 thf(a_is_defined, axiom, (defined @ a)).
% 9.11/1.93 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 9.11/1.93 inference('cnf', [status(esa)], [a_is_defined])).
% 9.11/1.93 thf(zip_derived_cl3339, plain,
% 9.11/1.93 ( (product @ multiplicative_identity @ s @ s)),
% 9.11/1.93 inference('demod', [status(thm)], [zip_derived_cl3337, zip_derived_cl26])).
% 9.11/1.93 thf(zip_derived_cl9, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.11/1.93 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 9.11/1.93 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 9.11/1.93 thf(zip_derived_cl3403, plain,
% 9.11/1.93 ( (product @ s @ multiplicative_identity @ s)),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl3339, zip_derived_cl9])).
% 9.11/1.93 thf(zip_derived_cl34, plain,
% 9.11/1.93 ( (product @ a @ (multiplicative_inverse @ b) @ s)),
% 9.11/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.11/1.93 thf(zip_derived_cl78, plain,
% 9.11/1.93 (![X0 : $i]:
% 9.11/1.93 (~ (defined @ X0)
% 9.11/1.93 | (sum @ additive_identity @ X0 @ additive_identity)
% 9.11/1.93 | (product @ X0 @ (multiplicative_inverse @ X0) @
% 9.11/1.93 multiplicative_identity))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl9])).
% 9.11/1.93 thf(zip_derived_cl49, plain,
% 9.11/1.93 (![X0 : $i]:
% 9.11/1.93 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 9.11/1.93 thf(product_11, conjecture, (~( product @ b @ c @ k ))).
% 9.11/1.93 thf(zf_stmt_2, negated_conjecture, (product @ b @ c @ k),
% 9.11/1.93 inference('cnf.neg', [status(esa)], [product_11])).
% 9.11/1.93 thf(zip_derived_cl36, plain, ( (product @ b @ c @ k)),
% 9.11/1.93 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.11/1.93 thf(zip_derived_cl9, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.11/1.93 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 9.11/1.93 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 9.11/1.93 thf(zip_derived_cl43, plain, ( (product @ c @ b @ k)),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl9])).
% 9.11/1.93 thf(zip_derived_cl6, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.11/1.93 ( (product @ X0 @ X1 @ X2)
% 9.11/1.93 | ~ (product @ X3 @ X4 @ X0)
% 9.11/1.93 | ~ (product @ X4 @ X1 @ X5)
% 9.11/1.93 | ~ (product @ X3 @ X5 @ X2))),
% 9.11/1.93 inference('cnf', [status(esa)], [associativity_multiplication_2])).
% 9.11/1.93 thf(zip_derived_cl3215, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.11/1.93 (~ (product @ c @ X1 @ X0)
% 9.11/1.93 | ~ (product @ b @ X2 @ X1)
% 9.11/1.93 | (product @ k @ X2 @ X0))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl6])).
% 9.11/1.93 thf(zip_derived_cl3390, plain,
% 9.11/1.93 (![X0 : $i]:
% 9.11/1.93 (~ (defined @ c)
% 9.11/1.93 | (product @ k @ X0 @ c)
% 9.11/1.93 | ~ (product @ b @ X0 @ multiplicative_identity))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl3215])).
% 9.11/1.93 thf(c_is_defined, axiom, (defined @ c)).
% 9.11/1.93 thf(zip_derived_cl28, plain, ( (defined @ c)),
% 9.11/1.93 inference('cnf', [status(esa)], [c_is_defined])).
% 9.11/1.93 thf(zip_derived_cl3398, plain,
% 9.11/1.93 (![X0 : $i]:
% 9.11/1.93 ( (product @ k @ X0 @ c)
% 9.11/1.93 | ~ (product @ b @ X0 @ multiplicative_identity))),
% 9.11/1.93 inference('demod', [status(thm)], [zip_derived_cl3390, zip_derived_cl28])).
% 9.11/1.93 thf(zip_derived_cl9, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.11/1.93 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 9.11/1.93 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 9.11/1.93 thf(zip_derived_cl4601, plain,
% 9.11/1.93 (![X0 : $i]:
% 9.11/1.93 (~ (product @ b @ X0 @ multiplicative_identity)
% 9.11/1.93 | (product @ X0 @ k @ c))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl3398, zip_derived_cl9])).
% 9.11/1.93 thf(zip_derived_cl4638, plain,
% 9.11/1.93 (( (sum @ additive_identity @ b @ additive_identity)
% 9.11/1.93 | ~ (defined @ b)
% 9.11/1.93 | (product @ (multiplicative_inverse @ b) @ k @ c))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl4601])).
% 9.11/1.93 thf(not_sum_7, conjecture, (sum @ additive_identity @ b @ additive_identity)).
% 9.11/1.93 thf(zf_stmt_3, negated_conjecture,
% 9.11/1.93 (~( sum @ additive_identity @ b @ additive_identity )),
% 9.11/1.93 inference('cnf.neg', [status(esa)], [not_sum_7])).
% 9.11/1.93 thf(zip_derived_cl32, plain,
% 9.11/1.93 (~ (sum @ additive_identity @ b @ additive_identity)),
% 9.11/1.93 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.11/1.93 thf(b_is_defined, axiom, (defined @ b)).
% 9.11/1.93 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 9.11/1.93 inference('cnf', [status(esa)], [b_is_defined])).
% 9.11/1.93 thf(zip_derived_cl4639, plain,
% 9.11/1.93 ( (product @ (multiplicative_inverse @ b) @ k @ c)),
% 9.11/1.93 inference('demod', [status(thm)],
% 9.11/1.93 [zip_derived_cl4638, zip_derived_cl32, zip_derived_cl27])).
% 9.11/1.93 thf(zip_derived_cl9, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.11/1.93 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 9.11/1.93 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 9.11/1.93 thf(zip_derived_cl4690, plain,
% 9.11/1.93 ( (product @ k @ (multiplicative_inverse @ b) @ c)),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl4639, zip_derived_cl9])).
% 9.11/1.93 thf(product_10, conjecture, (~( product @ a @ d @ k ))).
% 9.11/1.93 thf(zf_stmt_4, negated_conjecture, (product @ a @ d @ k),
% 9.11/1.93 inference('cnf.neg', [status(esa)], [product_10])).
% 9.11/1.93 thf(zip_derived_cl35, plain, ( (product @ a @ d @ k)),
% 9.11/1.93 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.11/1.93 thf(zip_derived_cl9, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.11/1.93 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 9.11/1.93 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 9.11/1.93 thf(zip_derived_cl42, plain, ( (product @ d @ a @ k)),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl9])).
% 9.11/1.93 thf(associativity_multiplication_1, axiom,
% 9.11/1.93 (( product @ X @ V @ W ) | ( ~( product @ X @ Y @ U ) ) |
% 9.11/1.93 ( ~( product @ Y @ Z @ V ) ) | ( ~( product @ U @ Z @ W ) ))).
% 9.11/1.93 thf(zip_derived_cl5, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.11/1.93 ( (product @ X0 @ X1 @ X2)
% 9.11/1.93 | ~ (product @ X0 @ X3 @ X4)
% 9.11/1.93 | ~ (product @ X3 @ X5 @ X1)
% 9.11/1.93 | ~ (product @ X4 @ X5 @ X2))),
% 9.11/1.93 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 9.11/1.93 thf(zip_derived_cl2838, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.11/1.93 (~ (product @ k @ X1 @ X0)
% 9.11/1.93 | ~ (product @ a @ X1 @ X2)
% 9.11/1.93 | (product @ d @ X2 @ X0))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl5])).
% 9.11/1.93 thf(zip_derived_cl4699, plain,
% 9.11/1.93 (![X0 : $i]:
% 9.11/1.93 ( (product @ d @ X0 @ c)
% 9.11/1.93 | ~ (product @ a @ (multiplicative_inverse @ b) @ X0))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl4690, zip_derived_cl2838])).
% 9.11/1.93 thf(zip_derived_cl9, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.11/1.93 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 9.11/1.93 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 9.11/1.93 thf(zip_derived_cl10103, plain,
% 9.11/1.93 (![X0 : $i]:
% 9.11/1.93 (~ (product @ a @ (multiplicative_inverse @ b) @ X0)
% 9.11/1.93 | (product @ X0 @ d @ c))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl4699, zip_derived_cl9])).
% 9.11/1.93 thf(zip_derived_cl10131, plain, ( (product @ s @ d @ c)),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl10103])).
% 9.11/1.93 thf(zip_derived_cl6, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.11/1.93 ( (product @ X0 @ X1 @ X2)
% 9.11/1.93 | ~ (product @ X3 @ X4 @ X0)
% 9.11/1.93 | ~ (product @ X4 @ X1 @ X5)
% 9.11/1.93 | ~ (product @ X3 @ X5 @ X2))),
% 9.11/1.93 inference('cnf', [status(esa)], [associativity_multiplication_2])).
% 9.11/1.93 thf(zip_derived_cl10260, plain,
% 9.11/1.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.11/1.93 (~ (product @ s @ X1 @ X0)
% 9.11/1.93 | ~ (product @ d @ X2 @ X1)
% 9.11/1.93 | (product @ c @ X2 @ X0))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl10131, zip_derived_cl6])).
% 9.11/1.93 thf(zip_derived_cl10451, plain,
% 9.11/1.93 (![X0 : $i]:
% 9.11/1.93 ( (product @ c @ X0 @ s)
% 9.11/1.93 | ~ (product @ d @ X0 @ multiplicative_identity))),
% 9.11/1.93 inference('sup-', [status(thm)],
% 9.11/1.93 [zip_derived_cl3403, zip_derived_cl10260])).
% 9.11/1.93 thf(zip_derived_cl10464, plain,
% 9.11/1.93 (( (sum @ additive_identity @ d @ additive_identity)
% 9.11/1.93 | ~ (defined @ d)
% 9.11/1.93 | (product @ c @ (multiplicative_inverse @ d) @ s))),
% 9.11/1.93 inference('sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl10451])).
% 9.11/1.93 thf(not_sum_8, conjecture, (sum @ additive_identity @ d @ additive_identity)).
% 9.11/1.93 thf(zf_stmt_5, negated_conjecture,
% 9.11/1.93 (~( sum @ additive_identity @ d @ additive_identity )),
% 9.11/1.93 inference('cnf.neg', [status(esa)], [not_sum_8])).
% 9.11/1.93 thf(zip_derived_cl33, plain,
% 9.11/1.93 (~ (sum @ additive_identity @ d @ additive_identity)),
% 9.11/1.93 inference('cnf', [status(esa)], [zf_stmt_5])).
% 9.11/1.93 thf(d_is_defined, axiom, (defined @ d)).
% 9.11/1.93 thf(zip_derived_cl29, plain, ( (defined @ d)),
% 9.11/1.93 inference('cnf', [status(esa)], [d_is_defined])).
% 9.11/1.93 thf(zip_derived_cl10465, plain,
% 9.11/1.93 ( (product @ c @ (multiplicative_inverse @ d) @ s)),
% 9.11/1.93 inference('demod', [status(thm)],
% 9.11/1.93 [zip_derived_cl10464, zip_derived_cl33, zip_derived_cl29])).
% 9.11/1.93 thf(zip_derived_cl10466, plain, ($false),
% 9.11/1.93 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl10465])).
% 9.11/1.93
% 9.11/1.93 % SZS output end Refutation
% 9.11/1.93
% 9.11/1.93
% 9.11/1.93 % Terminating...
% 9.71/1.99 % Runner terminated.
% 9.71/2.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------