TSTP Solution File: FLD037-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD037-1 : 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.6Kl7aXPvyw true
% Computer : n010.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 22:39:20 EDT 2023
% Result : Unsatisfiable 11.23s 2.20s
% Output : Refutation 11.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD037-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6Kl7aXPvyw true
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 23:16:19 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.99/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 11.23/2.20 % Solved by fo/fo13.sh.
% 11.23/2.20 % done 2028 iterations in 1.429s
% 11.23/2.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.23/2.20 % SZS output start Refutation
% 11.23/2.20 thf(multiplicative_inverse_type, type, multiplicative_inverse: $i > $i).
% 11.23/2.20 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 11.23/2.20 thf(defined_type, type, defined: $i > $o).
% 11.23/2.20 thf(additive_identity_type, type, additive_identity: $i).
% 11.23/2.20 thf(multiply_type, type, multiply: $i > $i > $i).
% 11.23/2.20 thf(b_type, type, b: $i).
% 11.23/2.20 thf(equalish_type, type, equalish: $i > $i > $o).
% 11.23/2.20 thf(a_type, type, a: $i).
% 11.23/2.20 thf(a_not_equal_to_additive_identity_3, conjecture,
% 11.23/2.20 (equalish @ a @ additive_identity)).
% 11.23/2.20 thf(zf_stmt_0, negated_conjecture, (~( equalish @ a @ additive_identity )),
% 11.23/2.20 inference('cnf.neg', [status(esa)], [a_not_equal_to_additive_identity_3])).
% 11.23/2.20 thf(zip_derived_cl29, plain, (~ (equalish @ a @ additive_identity)),
% 11.23/2.20 inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.23/2.20 thf(existence_of_inverse_multiplication, axiom,
% 11.23/2.20 (( equalish @
% 11.23/2.20 ( multiply @ X @ ( multiplicative_inverse @ X ) ) @
% 11.23/2.20 multiplicative_identity ) |
% 11.23/2.20 ( ~( defined @ X ) ) | ( equalish @ X @ additive_identity ))).
% 11.23/2.20 thf(zip_derived_cl6, plain,
% 11.23/2.20 (![X0 : $i]:
% 11.23/2.20 ( (equalish @ (multiply @ X0 @ (multiplicative_inverse @ X0)) @
% 11.23/2.20 multiplicative_identity)
% 11.23/2.20 | ~ (defined @ X0)
% 11.23/2.20 | (equalish @ X0 @ additive_identity))),
% 11.23/2.20 inference('cnf', [status(esa)], [existence_of_inverse_multiplication])).
% 11.23/2.20 thf(symmetry_of_equality, axiom,
% 11.23/2.20 (( equalish @ X @ Y ) | ( ~( equalish @ Y @ X ) ))).
% 11.23/2.20 thf(zip_derived_cl21, plain,
% 11.23/2.20 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 11.23/2.20 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 11.23/2.20 thf(zip_derived_cl125, plain,
% 11.23/2.20 (![X0 : $i]:
% 11.23/2.20 ( (equalish @ X0 @ additive_identity)
% 11.23/2.20 | ~ (defined @ X0)
% 11.23/2.20 | (equalish @ multiplicative_identity @
% 11.23/2.20 (multiply @ X0 @ (multiplicative_inverse @ X0))))),
% 11.23/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl21])).
% 11.23/2.20 thf(well_definedness_of_multiplication, axiom,
% 11.23/2.20 (( defined @ ( multiply @ X @ Y ) ) | ( ~( defined @ X ) ) |
% 11.23/2.20 ( ~( defined @ Y ) ))).
% 11.23/2.20 thf(zip_derived_cl12, plain,
% 11.23/2.20 (![X0 : $i, X1 : $i]:
% 11.23/2.20 ( (defined @ (multiply @ X0 @ X1))
% 11.23/2.20 | ~ (defined @ X0)
% 11.23/2.20 | ~ (defined @ X1))),
% 11.23/2.20 inference('cnf', [status(esa)], [well_definedness_of_multiplication])).
% 11.23/2.20 thf(a_equals_b_4, conjecture, (~( equalish @ a @ b ))).
% 11.23/2.20 thf(zf_stmt_1, negated_conjecture, (equalish @ a @ b),
% 11.23/2.20 inference('cnf.neg', [status(esa)], [a_equals_b_4])).
% 11.23/2.20 thf(zip_derived_cl30, plain, ( (equalish @ a @ b)),
% 11.23/2.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 11.23/2.20 thf(well_definedness_of_multiplicative_inverse, axiom,
% 11.23/2.20 (( defined @ ( multiplicative_inverse @ X ) ) | ( ~( defined @ X ) ) |
% 11.23/2.20 ( equalish @ X @ additive_identity ))).
% 11.23/2.20 thf(zip_derived_cl14, plain,
% 11.23/2.20 (![X0 : $i]:
% 11.23/2.20 ( (defined @ (multiplicative_inverse @ X0))
% 11.23/2.20 | ~ (defined @ X0)
% 11.23/2.20 | (equalish @ X0 @ additive_identity))),
% 11.23/2.20 inference('cnf', [status(esa)],
% 11.23/2.20 [well_definedness_of_multiplicative_inverse])).
% 11.23/2.20 thf(zip_derived_cl12, plain,
% 11.23/2.20 (![X0 : $i, X1 : $i]:
% 11.23/2.20 ( (defined @ (multiply @ X0 @ X1))
% 11.23/2.20 | ~ (defined @ X0)
% 11.23/2.20 | ~ (defined @ X1))),
% 11.23/2.20 inference('cnf', [status(esa)], [well_definedness_of_multiplication])).
% 11.23/2.20 thf(existence_of_identity_multiplication, axiom,
% 11.23/2.20 (( equalish @ ( multiply @ multiplicative_identity @ X ) @ X ) |
% 11.23/2.20 ( ~( defined @ X ) ))).
% 11.23/2.20 thf(zip_derived_cl5, plain,
% 11.23/2.20 (![X0 : $i]:
% 11.23/2.20 ( (equalish @ (multiply @ multiplicative_identity @ X0) @ X0)
% 11.23/2.20 | ~ (defined @ X0))),
% 11.23/2.20 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 11.23/2.20 thf(zip_derived_cl21, plain,
% 11.23/2.20 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 11.23/2.20 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 11.23/2.20 thf(zip_derived_cl38, plain,
% 11.23/2.20 (![X0 : $i]:
% 11.23/2.20 (~ (defined @ X0)
% 11.23/2.20 | (equalish @ X0 @ (multiply @ multiplicative_identity @ X0)))),
% 11.23/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl21])).
% 11.23/2.20 thf(zip_derived_cl5, plain,
% 11.23/2.20 (![X0 : $i]:
% 11.23/2.20 ( (equalish @ (multiply @ multiplicative_identity @ X0) @ X0)
% 11.23/2.20 | ~ (defined @ X0))),
% 11.23/2.20 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 11.23/2.20 thf(multiplicative_identity_not_equal_to_multiply_5, conjecture,
% 11.23/2.20 (equalish @
% 11.23/2.20 multiplicative_identity @
% 11.23/2.20 ( multiply @ b @ ( multiplicative_inverse @ a ) ))).
% 11.23/2.20 thf(zf_stmt_2, negated_conjecture,
% 11.23/2.20 (~( equalish @
% 11.23/2.20 multiplicative_identity @
% 11.23/2.20 ( multiply @ b @ ( multiplicative_inverse @ a ) ) )),
% 11.23/2.20 inference('cnf.neg', [status(esa)],
% 11.23/2.20 [multiplicative_identity_not_equal_to_multiply_5])).
% 11.23/2.20 thf(zip_derived_cl31, plain,
% 11.23/2.20 (~ (equalish @ multiplicative_identity @
% 11.23/2.20 (multiply @ b @ (multiplicative_inverse @ a)))),
% 11.23/2.20 inference('cnf', [status(esa)], [zf_stmt_2])).
% 11.23/2.20 thf(zip_derived_cl21, plain,
% 11.23/2.20 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 11.23/2.20 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 11.23/2.20 thf(zip_derived_cl32, plain,
% 11.23/2.20 (~ (equalish @ (multiply @ b @ (multiplicative_inverse @ a)) @
% 11.23/2.20 multiplicative_identity)),
% 11.23/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl21])).
% 11.23/2.20 thf(transitivity_of_equality, axiom,
% 11.23/2.20 (( equalish @ X @ Z ) | ( ~( equalish @ X @ Y ) ) |
% 11.23/2.20 ( ~( equalish @ Y @ Z ) ))).
% 11.23/2.20 thf(zip_derived_cl22, plain,
% 11.23/2.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.23/2.20 ( (equalish @ X0 @ X1)
% 11.23/2.20 | ~ (equalish @ X0 @ X2)
% 11.23/2.20 | ~ (equalish @ X2 @ X1))),
% 11.23/2.20 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 11.23/2.20 thf(zip_derived_cl43, plain,
% 11.23/2.20 (![X0 : $i]:
% 11.23/2.20 (~ (equalish @ (multiply @ b @ (multiplicative_inverse @ a)) @ X0)
% 11.23/2.20 | ~ (equalish @ X0 @ multiplicative_identity))),
% 11.23/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl22])).
% 11.23/2.20 thf(zip_derived_cl54, plain,
% 11.23/2.20 ((~ (defined @ multiplicative_identity)
% 11.23/2.20 | ~ (equalish @ (multiply @ b @ (multiplicative_inverse @ a)) @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity)))),
% 11.23/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl43])).
% 11.23/2.20 thf(well_definedness_of_multiplicative_identity, axiom,
% 11.23/2.20 (defined @ multiplicative_identity)).
% 11.23/2.20 thf(zip_derived_cl13, plain, ( (defined @ multiplicative_identity)),
% 11.23/2.20 inference('cnf', [status(esa)],
% 11.23/2.20 [well_definedness_of_multiplicative_identity])).
% 11.23/2.20 thf(zip_derived_cl57, plain,
% 11.23/2.20 (~ (equalish @ (multiply @ b @ (multiplicative_inverse @ a)) @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity))),
% 11.23/2.20 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl13])).
% 11.23/2.20 thf(zip_derived_cl21, plain,
% 11.23/2.20 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 11.23/2.20 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 11.23/2.20 thf(zip_derived_cl59, plain,
% 11.23/2.20 (~ (equalish @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity) @
% 11.23/2.20 (multiply @ b @ (multiplicative_inverse @ a)))),
% 11.23/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl21])).
% 11.23/2.20 thf(zip_derived_cl22, plain,
% 11.23/2.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.23/2.20 ( (equalish @ X0 @ X1)
% 11.23/2.20 | ~ (equalish @ X0 @ X2)
% 11.23/2.20 | ~ (equalish @ X2 @ X1))),
% 11.23/2.20 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 11.23/2.20 thf(zip_derived_cl63, plain,
% 11.23/2.20 (![X0 : $i]:
% 11.23/2.20 (~ (equalish @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity) @
% 11.23/2.20 X0)
% 11.23/2.20 | ~ (equalish @ X0 @ (multiply @ b @ (multiplicative_inverse @ a))))),
% 11.23/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl22])).
% 11.23/2.20 thf(zip_derived_cl120, plain,
% 11.23/2.20 ((~ (defined @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity))
% 11.23/2.20 | ~ (equalish @
% 11.23/2.20 (multiply @ multiplicative_identity @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity)) @
% 11.23/2.20 (multiply @ b @ (multiplicative_inverse @ a))))),
% 11.23/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl63])).
% 11.23/2.20 thf(zip_derived_cl218, plain,
% 11.23/2.20 ((~ (defined @ multiplicative_identity)
% 11.23/2.20 | ~ (defined @ multiplicative_identity)
% 11.23/2.20 | ~ (equalish @
% 11.23/2.20 (multiply @ multiplicative_identity @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity)) @
% 11.23/2.20 (multiply @ b @ (multiplicative_inverse @ a))))),
% 11.23/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl120])).
% 11.23/2.20 thf(zip_derived_cl13, plain, ( (defined @ multiplicative_identity)),
% 11.23/2.20 inference('cnf', [status(esa)],
% 11.23/2.20 [well_definedness_of_multiplicative_identity])).
% 11.23/2.20 thf(zip_derived_cl13, plain, ( (defined @ multiplicative_identity)),
% 11.23/2.20 inference('cnf', [status(esa)],
% 11.23/2.20 [well_definedness_of_multiplicative_identity])).
% 11.23/2.20 thf(zip_derived_cl222, plain,
% 11.23/2.20 (~ (equalish @
% 11.23/2.20 (multiply @ multiplicative_identity @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity)) @
% 11.23/2.20 (multiply @ b @ (multiplicative_inverse @ a)))),
% 11.23/2.20 inference('demod', [status(thm)],
% 11.23/2.20 [zip_derived_cl218, zip_derived_cl13, zip_derived_cl13])).
% 11.23/2.20 thf(zip_derived_cl22, plain,
% 11.23/2.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.23/2.20 ( (equalish @ X0 @ X1)
% 11.23/2.20 | ~ (equalish @ X0 @ X2)
% 11.23/2.20 | ~ (equalish @ X2 @ X1))),
% 11.23/2.20 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 11.23/2.20 thf(zip_derived_cl238, plain,
% 11.23/2.20 (![X0 : $i]:
% 11.23/2.20 (~ (equalish @
% 11.23/2.20 (multiply @ multiplicative_identity @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity)) @
% 11.23/2.20 X0)
% 11.23/2.20 | ~ (equalish @ X0 @ (multiply @ b @ (multiplicative_inverse @ a))))),
% 11.23/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl222, zip_derived_cl22])).
% 11.23/2.20 thf(compatibility_of_equality_and_multiplication, axiom,
% 11.23/2.20 (( equalish @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ) |
% 11.23/2.20 ( ~( defined @ Z ) ) | ( ~( equalish @ X @ Y ) ))).
% 11.23/2.20 thf(zip_derived_cl24, plain,
% 11.23/2.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.23/2.20 ( (equalish @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1))
% 11.23/2.20 | ~ (defined @ X1)
% 11.23/2.20 | ~ (equalish @ X0 @ X2))),
% 11.23/2.20 inference('cnf', [status(esa)],
% 11.23/2.20 [compatibility_of_equality_and_multiplication])).
% 11.23/2.20 thf(zip_derived_cl444, plain,
% 11.23/2.20 (![X0 : $i]:
% 11.23/2.20 (~ (equalish @
% 11.23/2.20 (multiply @ multiplicative_identity @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity)) @
% 11.23/2.20 (multiply @ X0 @ (multiplicative_inverse @ a)))
% 11.23/2.20 | ~ (defined @ (multiplicative_inverse @ a))
% 11.23/2.20 | ~ (equalish @ X0 @ b))),
% 11.23/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl238, zip_derived_cl24])).
% 11.23/2.20 thf(zip_derived_cl9292, plain,
% 11.23/2.20 (![X0 : $i]:
% 11.23/2.20 ( (equalish @ a @ additive_identity)
% 11.23/2.20 | ~ (defined @ a)
% 11.23/2.20 | ~ (equalish @
% 11.23/2.20 (multiply @ multiplicative_identity @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity)) @
% 11.23/2.20 (multiply @ X0 @ (multiplicative_inverse @ a)))
% 11.23/2.20 | ~ (equalish @ X0 @ b))),
% 11.23/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl444])).
% 11.23/2.20 thf(zip_derived_cl29, plain, (~ (equalish @ a @ additive_identity)),
% 11.23/2.20 inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.23/2.20 thf(a_is_defined, axiom, (defined @ a)).
% 11.23/2.20 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 11.23/2.20 inference('cnf', [status(esa)], [a_is_defined])).
% 11.23/2.20 thf(zip_derived_cl9293, plain,
% 11.23/2.20 (![X0 : $i]:
% 11.23/2.20 (~ (equalish @
% 11.23/2.20 (multiply @ multiplicative_identity @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity)) @
% 11.23/2.20 (multiply @ X0 @ (multiplicative_inverse @ a)))
% 11.23/2.20 | ~ (equalish @ X0 @ b))),
% 11.23/2.20 inference('demod', [status(thm)],
% 11.23/2.20 [zip_derived_cl9292, zip_derived_cl29, zip_derived_cl27])).
% 11.23/2.20 thf(zip_derived_cl9307, plain,
% 11.23/2.20 (~ (equalish @
% 11.23/2.20 (multiply @ multiplicative_identity @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity)) @
% 11.23/2.20 (multiply @ a @ (multiplicative_inverse @ a)))),
% 11.23/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl9293])).
% 11.23/2.20 thf(zip_derived_cl5, plain,
% 11.23/2.20 (![X0 : $i]:
% 11.23/2.20 ( (equalish @ (multiply @ multiplicative_identity @ X0) @ X0)
% 11.23/2.20 | ~ (defined @ X0))),
% 11.23/2.20 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 11.23/2.20 thf(zip_derived_cl22, plain,
% 11.23/2.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.23/2.20 ( (equalish @ X0 @ X1)
% 11.23/2.20 | ~ (equalish @ X0 @ X2)
% 11.23/2.20 | ~ (equalish @ X2 @ X1))),
% 11.23/2.20 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 11.23/2.20 thf(zip_derived_cl49, plain,
% 11.23/2.20 (![X0 : $i, X1 : $i]:
% 11.23/2.20 (~ (defined @ X0)
% 11.23/2.20 | (equalish @ (multiply @ multiplicative_identity @ X0) @ X1)
% 11.23/2.20 | ~ (equalish @ X0 @ X1))),
% 11.23/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl22])).
% 11.23/2.20 thf(zip_derived_cl9318, plain,
% 11.23/2.20 ((~ (defined @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity))
% 11.23/2.20 | ~ (equalish @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity) @
% 11.23/2.20 (multiply @ a @ (multiplicative_inverse @ a))))),
% 11.23/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl9307, zip_derived_cl49])).
% 11.23/2.20 thf(zip_derived_cl9321, plain,
% 11.23/2.20 ((~ (defined @ multiplicative_identity)
% 11.23/2.20 | ~ (defined @ multiplicative_identity)
% 11.23/2.20 | ~ (equalish @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity) @
% 11.23/2.20 (multiply @ a @ (multiplicative_inverse @ a))))),
% 11.23/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl9318])).
% 11.23/2.20 thf(zip_derived_cl13, plain, ( (defined @ multiplicative_identity)),
% 11.23/2.20 inference('cnf', [status(esa)],
% 11.23/2.20 [well_definedness_of_multiplicative_identity])).
% 11.23/2.20 thf(zip_derived_cl13, plain, ( (defined @ multiplicative_identity)),
% 11.23/2.20 inference('cnf', [status(esa)],
% 11.23/2.20 [well_definedness_of_multiplicative_identity])).
% 11.23/2.20 thf(zip_derived_cl9322, plain,
% 11.23/2.20 (~ (equalish @
% 11.23/2.20 (multiply @ multiplicative_identity @ multiplicative_identity) @
% 11.23/2.20 (multiply @ a @ (multiplicative_inverse @ a)))),
% 11.23/2.20 inference('demod', [status(thm)],
% 11.23/2.20 [zip_derived_cl9321, zip_derived_cl13, zip_derived_cl13])).
% 11.23/2.20 thf(zip_derived_cl49, plain,
% 11.23/2.20 (![X0 : $i, X1 : $i]:
% 11.23/2.20 (~ (defined @ X0)
% 11.23/2.20 | (equalish @ (multiply @ multiplicative_identity @ X0) @ X1)
% 11.23/2.20 | ~ (equalish @ X0 @ X1))),
% 11.23/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl22])).
% 11.23/2.20 thf(zip_derived_cl9328, plain,
% 11.23/2.20 ((~ (defined @ multiplicative_identity)
% 11.23/2.20 | ~ (equalish @ multiplicative_identity @
% 11.23/2.20 (multiply @ a @ (multiplicative_inverse @ a))))),
% 11.23/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl9322, zip_derived_cl49])).
% 11.23/2.20 thf(zip_derived_cl13, plain, ( (defined @ multiplicative_identity)),
% 11.23/2.20 inference('cnf', [status(esa)],
% 11.23/2.20 [well_definedness_of_multiplicative_identity])).
% 11.23/2.20 thf(zip_derived_cl9330, plain,
% 11.23/2.20 (~ (equalish @ multiplicative_identity @
% 11.23/2.20 (multiply @ a @ (multiplicative_inverse @ a)))),
% 11.23/2.20 inference('demod', [status(thm)], [zip_derived_cl9328, zip_derived_cl13])).
% 11.23/2.20 thf(zip_derived_cl9336, plain,
% 11.23/2.20 ((~ (defined @ a) | (equalish @ a @ additive_identity))),
% 11.23/2.20 inference('s_sup-', [status(thm)],
% 11.23/2.20 [zip_derived_cl125, zip_derived_cl9330])).
% 11.23/2.20 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 11.23/2.20 inference('cnf', [status(esa)], [a_is_defined])).
% 11.23/2.20 thf(zip_derived_cl9337, plain, ( (equalish @ a @ additive_identity)),
% 11.23/2.20 inference('demod', [status(thm)], [zip_derived_cl9336, zip_derived_cl27])).
% 11.23/2.20 thf(zip_derived_cl9352, plain, ($false),
% 11.23/2.20 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl9337])).
% 11.23/2.20
% 11.23/2.20 % SZS output end Refutation
% 11.23/2.20
% 11.23/2.20
% 11.23/2.20 % Terminating...
% 11.49/2.24 % Runner terminated.
% 11.49/2.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------