TSTP Solution File: FLD027-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD027-3 : 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.XS0KNjDU26 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 22:39:16 EDT 2023
% Result : Unsatisfiable 0.59s 0.88s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : FLD027-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XS0KNjDU26 true
% 0.16/0.37 % Computer : n007.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon Aug 28 00:01:57 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in FO mode
% 0.52/0.68 % Total configuration time : 435
% 0.52/0.68 % Estimated wc time : 1092
% 0.52/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.88 % Solved by fo/fo13.sh.
% 0.59/0.88 % done 122 iterations in 0.077s
% 0.59/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.88 % SZS output start Refutation
% 0.59/0.88 thf(sum_type, type, sum: $i > $i > $i > $o).
% 0.59/0.88 thf(b_type, type, b: $i).
% 0.59/0.88 thf(a_type, type, a: $i).
% 0.59/0.88 thf(product_type, type, product: $i > $i > $i > $o).
% 0.59/0.88 thf(additive_identity_type, type, additive_identity: $i).
% 0.59/0.88 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 0.59/0.88 thf(multiplicative_inverse_type, type, multiplicative_inverse: $i > $i).
% 0.59/0.88 thf(defined_type, type, defined: $i > $o).
% 0.59/0.88 thf(not_product_6, conjecture, (product @ multiplicative_identity @ a @ b)).
% 0.59/0.88 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.88 (~( product @ multiplicative_identity @ a @ b )),
% 0.59/0.88 inference('cnf.neg', [status(esa)], [not_product_6])).
% 0.59/0.88 thf(zip_derived_cl31, plain, (~ (product @ multiplicative_identity @ a @ b)),
% 0.59/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.88 thf(existence_of_inverse_multiplication, axiom,
% 0.59/0.88 (( product @ ( multiplicative_inverse @ X ) @ X @ multiplicative_identity ) |
% 0.59/0.88 ( sum @ additive_identity @ X @ additive_identity ) | ( ~( defined @ X ) ))).
% 0.59/0.88 thf(zip_derived_cl8, plain,
% 0.59/0.88 (![X0 : $i]:
% 0.59/0.88 ( (product @ (multiplicative_inverse @ X0) @ X0 @
% 0.59/0.88 multiplicative_identity)
% 0.59/0.88 | (sum @ additive_identity @ X0 @ additive_identity)
% 0.59/0.88 | ~ (defined @ X0))),
% 0.59/0.88 inference('cnf', [status(esa)], [existence_of_inverse_multiplication])).
% 0.59/0.88 thf(existence_of_identity_multiplication, axiom,
% 0.59/0.88 (( product @ multiplicative_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 0.59/0.88 thf(zip_derived_cl7, plain,
% 0.59/0.88 (![X0 : $i]:
% 0.59/0.88 ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 0.59/0.88 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 0.59/0.88 thf(product_5, conjecture,
% 0.59/0.88 (~( product @
% 0.59/0.88 multiplicative_identity @ ( multiplicative_inverse @ a ) @
% 0.59/0.88 ( multiplicative_inverse @ b ) ))).
% 0.59/0.88 thf(zf_stmt_1, negated_conjecture,
% 0.59/0.88 (product @
% 0.59/0.88 multiplicative_identity @ ( multiplicative_inverse @ a ) @
% 0.59/0.88 ( multiplicative_inverse @ b )),
% 0.59/0.88 inference('cnf.neg', [status(esa)], [product_5])).
% 0.59/0.88 thf(zip_derived_cl30, plain,
% 0.59/0.88 ( (product @ multiplicative_identity @ (multiplicative_inverse @ a) @
% 0.59/0.88 (multiplicative_inverse @ b))),
% 0.59/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.88 thf(commutativity_multiplication, axiom,
% 0.59/0.88 (( product @ Y @ X @ Z ) | ( ~( product @ X @ Y @ Z ) ))).
% 0.59/0.88 thf(zip_derived_cl9, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 0.59/0.88 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 0.59/0.88 thf(zip_derived_cl42, plain,
% 0.59/0.88 ( (product @ (multiplicative_inverse @ a) @ multiplicative_identity @
% 0.59/0.88 (multiplicative_inverse @ b))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl9])).
% 0.59/0.88 thf(associativity_multiplication_1, axiom,
% 0.59/0.88 (( product @ X @ V @ W ) | ( ~( product @ X @ Y @ U ) ) |
% 0.59/0.88 ( ~( product @ Y @ Z @ V ) ) | ( ~( product @ U @ Z @ W ) ))).
% 0.59/0.88 thf(zip_derived_cl5, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.88 ( (product @ X0 @ X1 @ X2)
% 0.59/0.88 | ~ (product @ X0 @ X3 @ X4)
% 0.59/0.88 | ~ (product @ X3 @ X5 @ X1)
% 0.59/0.88 | ~ (product @ X4 @ X5 @ X2))),
% 0.59/0.88 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 0.59/0.88 thf(zip_derived_cl50, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ( (product @ (multiplicative_inverse @ a) @ X1 @ X0)
% 0.59/0.88 | ~ (product @ multiplicative_identity @ X2 @ X1)
% 0.59/0.88 | ~ (product @ (multiplicative_inverse @ b) @ X2 @ X0))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl5])).
% 0.59/0.88 thf(zip_derived_cl150, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 (~ (defined @ X0)
% 0.59/0.88 | (product @ (multiplicative_inverse @ a) @ X0 @ X1)
% 0.59/0.88 | ~ (product @ (multiplicative_inverse @ b) @ X0 @ X1))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl50])).
% 0.59/0.88 thf(zip_derived_cl160, plain,
% 0.59/0.88 ((~ (defined @ b)
% 0.59/0.88 | (sum @ additive_identity @ b @ additive_identity)
% 0.59/0.88 | ~ (defined @ b)
% 0.59/0.88 | (product @ (multiplicative_inverse @ a) @ b @
% 0.59/0.88 multiplicative_identity))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl150])).
% 0.59/0.88 thf(b_is_defined, axiom, (defined @ b)).
% 0.59/0.88 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 0.59/0.88 inference('cnf', [status(esa)], [b_is_defined])).
% 0.59/0.88 thf(not_sum_4, conjecture, (sum @ additive_identity @ b @ additive_identity)).
% 0.59/0.88 thf(zf_stmt_2, negated_conjecture,
% 0.59/0.88 (~( sum @ additive_identity @ b @ additive_identity )),
% 0.59/0.88 inference('cnf.neg', [status(esa)], [not_sum_4])).
% 0.59/0.88 thf(zip_derived_cl29, plain,
% 0.59/0.88 (~ (sum @ additive_identity @ b @ additive_identity)),
% 0.59/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.88 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 0.59/0.88 inference('cnf', [status(esa)], [b_is_defined])).
% 0.59/0.88 thf(zip_derived_cl163, plain,
% 0.59/0.88 ( (product @ (multiplicative_inverse @ a) @ b @ multiplicative_identity)),
% 0.59/0.88 inference('demod', [status(thm)],
% 0.59/0.88 [zip_derived_cl160, zip_derived_cl27, zip_derived_cl29,
% 0.59/0.88 zip_derived_cl27])).
% 0.59/0.88 thf(zip_derived_cl7, plain,
% 0.59/0.88 (![X0 : $i]:
% 0.59/0.88 ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 0.59/0.88 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 0.59/0.88 thf(zip_derived_cl163, plain,
% 0.59/0.88 ( (product @ (multiplicative_inverse @ a) @ b @ multiplicative_identity)),
% 0.59/0.88 inference('demod', [status(thm)],
% 0.59/0.88 [zip_derived_cl160, zip_derived_cl27, zip_derived_cl29,
% 0.59/0.88 zip_derived_cl27])).
% 0.59/0.88 thf(zip_derived_cl9, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 0.59/0.88 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 0.59/0.88 thf(zip_derived_cl166, plain,
% 0.59/0.88 ( (product @ b @ (multiplicative_inverse @ a) @ multiplicative_identity)),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl9])).
% 0.59/0.88 thf(zip_derived_cl5, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.88 ( (product @ X0 @ X1 @ X2)
% 0.59/0.88 | ~ (product @ X0 @ X3 @ X4)
% 0.59/0.88 | ~ (product @ X3 @ X5 @ X1)
% 0.59/0.88 | ~ (product @ X4 @ X5 @ X2))),
% 0.59/0.88 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 0.59/0.88 thf(zip_derived_cl169, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ( (product @ b @ X1 @ X0)
% 0.59/0.88 | ~ (product @ (multiplicative_inverse @ a) @ X2 @ X1)
% 0.59/0.88 | ~ (product @ multiplicative_identity @ X2 @ X0))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl5])).
% 0.59/0.88 thf(zip_derived_cl334, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 (~ (defined @ X0)
% 0.59/0.88 | (product @ b @ X1 @ X0)
% 0.59/0.88 | ~ (product @ (multiplicative_inverse @ a) @ X0 @ X1))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl169])).
% 0.59/0.88 thf(zip_derived_cl372, plain,
% 0.59/0.88 ((~ (defined @ b) | (product @ b @ multiplicative_identity @ b))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl334])).
% 0.59/0.88 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 0.59/0.88 inference('cnf', [status(esa)], [b_is_defined])).
% 0.59/0.88 thf(zip_derived_cl378, plain, ( (product @ b @ multiplicative_identity @ b)),
% 0.59/0.88 inference('demod', [status(thm)], [zip_derived_cl372, zip_derived_cl27])).
% 0.59/0.88 thf(zip_derived_cl9, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 0.59/0.88 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 0.59/0.88 thf(zip_derived_cl386, plain, ( (product @ multiplicative_identity @ b @ b)),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl378, zip_derived_cl9])).
% 0.59/0.88 thf(zip_derived_cl8, plain,
% 0.59/0.88 (![X0 : $i]:
% 0.59/0.88 ( (product @ (multiplicative_inverse @ X0) @ X0 @
% 0.59/0.88 multiplicative_identity)
% 0.59/0.88 | (sum @ additive_identity @ X0 @ additive_identity)
% 0.59/0.88 | ~ (defined @ X0))),
% 0.59/0.88 inference('cnf', [status(esa)], [existence_of_inverse_multiplication])).
% 0.59/0.88 thf(zip_derived_cl334, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 (~ (defined @ X0)
% 0.59/0.88 | (product @ b @ X1 @ X0)
% 0.59/0.88 | ~ (product @ (multiplicative_inverse @ a) @ X0 @ X1))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl169])).
% 0.59/0.88 thf(zip_derived_cl369, plain,
% 0.59/0.88 ((~ (defined @ a)
% 0.59/0.88 | (sum @ additive_identity @ a @ additive_identity)
% 0.59/0.88 | ~ (defined @ a)
% 0.59/0.88 | (product @ b @ multiplicative_identity @ a))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl334])).
% 0.59/0.88 thf(a_is_defined, axiom, (defined @ a)).
% 0.59/0.88 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 0.59/0.88 inference('cnf', [status(esa)], [a_is_defined])).
% 0.59/0.88 thf(not_sum_3, conjecture, (sum @ additive_identity @ a @ additive_identity)).
% 0.59/0.88 thf(zf_stmt_3, negated_conjecture,
% 0.59/0.88 (~( sum @ additive_identity @ a @ additive_identity )),
% 0.59/0.88 inference('cnf.neg', [status(esa)], [not_sum_3])).
% 0.59/0.88 thf(zip_derived_cl28, plain,
% 0.59/0.88 (~ (sum @ additive_identity @ a @ additive_identity)),
% 0.59/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.88 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 0.59/0.88 inference('cnf', [status(esa)], [a_is_defined])).
% 0.59/0.88 thf(zip_derived_cl375, plain, ( (product @ b @ multiplicative_identity @ a)),
% 0.59/0.88 inference('demod', [status(thm)],
% 0.59/0.88 [zip_derived_cl369, zip_derived_cl26, zip_derived_cl28,
% 0.59/0.88 zip_derived_cl26])).
% 0.59/0.88 thf(zip_derived_cl9, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 0.59/0.88 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 0.59/0.88 thf(zip_derived_cl381, plain, ( (product @ multiplicative_identity @ b @ a)),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl375, zip_derived_cl9])).
% 0.59/0.88 thf(zip_derived_cl8, plain,
% 0.59/0.88 (![X0 : $i]:
% 0.59/0.88 ( (product @ (multiplicative_inverse @ X0) @ X0 @
% 0.59/0.88 multiplicative_identity)
% 0.59/0.88 | (sum @ additive_identity @ X0 @ additive_identity)
% 0.59/0.88 | ~ (defined @ X0))),
% 0.59/0.88 inference('cnf', [status(esa)], [existence_of_inverse_multiplication])).
% 0.59/0.88 thf(zip_derived_cl163, plain,
% 0.59/0.88 ( (product @ (multiplicative_inverse @ a) @ b @ multiplicative_identity)),
% 0.59/0.88 inference('demod', [status(thm)],
% 0.59/0.88 [zip_derived_cl160, zip_derived_cl27, zip_derived_cl29,
% 0.59/0.88 zip_derived_cl27])).
% 0.59/0.88 thf(zip_derived_cl30, plain,
% 0.59/0.88 ( (product @ multiplicative_identity @ (multiplicative_inverse @ a) @
% 0.59/0.88 (multiplicative_inverse @ b))),
% 0.59/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.88 thf(zip_derived_cl5, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.88 ( (product @ X0 @ X1 @ X2)
% 0.59/0.88 | ~ (product @ X0 @ X3 @ X4)
% 0.59/0.88 | ~ (product @ X3 @ X5 @ X1)
% 0.59/0.88 | ~ (product @ X4 @ X5 @ X2))),
% 0.59/0.88 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 0.59/0.88 thf(zip_derived_cl48, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ( (product @ multiplicative_identity @ X1 @ X0)
% 0.59/0.88 | ~ (product @ (multiplicative_inverse @ a) @ X2 @ X1)
% 0.59/0.88 | ~ (product @ (multiplicative_inverse @ b) @ X2 @ X0))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl5])).
% 0.59/0.88 thf(zip_derived_cl168, plain,
% 0.59/0.88 (![X0 : $i]:
% 0.59/0.88 ( (product @ multiplicative_identity @ multiplicative_identity @ X0)
% 0.59/0.88 | ~ (product @ (multiplicative_inverse @ b) @ b @ X0))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl48])).
% 0.59/0.88 thf(zip_derived_cl185, plain,
% 0.59/0.88 ((~ (defined @ b)
% 0.59/0.88 | (sum @ additive_identity @ b @ additive_identity)
% 0.59/0.88 | (product @ multiplicative_identity @ multiplicative_identity @
% 0.59/0.88 multiplicative_identity))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl168])).
% 0.59/0.88 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 0.59/0.88 inference('cnf', [status(esa)], [b_is_defined])).
% 0.59/0.88 thf(zip_derived_cl29, plain,
% 0.59/0.88 (~ (sum @ additive_identity @ b @ additive_identity)),
% 0.59/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.88 thf(zip_derived_cl187, plain,
% 0.59/0.88 ( (product @ multiplicative_identity @ multiplicative_identity @
% 0.59/0.88 multiplicative_identity)),
% 0.59/0.88 inference('demod', [status(thm)],
% 0.59/0.88 [zip_derived_cl185, zip_derived_cl27, zip_derived_cl29])).
% 0.59/0.88 thf(zip_derived_cl5, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.88 ( (product @ X0 @ X1 @ X2)
% 0.59/0.88 | ~ (product @ X0 @ X3 @ X4)
% 0.59/0.88 | ~ (product @ X3 @ X5 @ X1)
% 0.59/0.88 | ~ (product @ X4 @ X5 @ X2))),
% 0.59/0.88 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 0.59/0.88 thf(zip_derived_cl188, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ( (product @ multiplicative_identity @ X1 @ X0)
% 0.59/0.88 | ~ (product @ multiplicative_identity @ X2 @ X1)
% 0.59/0.88 | ~ (product @ multiplicative_identity @ X2 @ X0))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl187, zip_derived_cl5])).
% 0.59/0.88 thf(zip_derived_cl395, plain,
% 0.59/0.88 (![X0 : $i]:
% 0.59/0.88 ( (product @ multiplicative_identity @ a @ X0)
% 0.59/0.88 | ~ (product @ multiplicative_identity @ b @ X0))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl381, zip_derived_cl188])).
% 0.59/0.88 thf(zip_derived_cl417, plain, ( (product @ multiplicative_identity @ a @ b)),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl386, zip_derived_cl395])).
% 0.59/0.88 thf(zip_derived_cl429, plain, ($false),
% 0.59/0.88 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl417])).
% 0.59/0.88
% 0.59/0.88 % SZS output end Refutation
% 0.59/0.88
% 0.59/0.88
% 0.59/0.88 % Terminating...
% 0.61/1.00 % Runner terminated.
% 1.58/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------