TSTP Solution File: FLD018-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD018-1 : 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.53ZB5Ar2LP true
% Computer : n031.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 22:39:11 EDT 2023
% Result : Unsatisfiable 6.11s 1.50s
% Output : Refutation 6.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD018-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.53ZB5Ar2LP true
% 0.14/0.35 % Computer : n031.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 : Mon Aug 28 00:45:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.09/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.09/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.09/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.09/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.09/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.09/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.11/1.50 % Solved by fo/fo13.sh.
% 6.11/1.50 % done 1261 iterations in 0.730s
% 6.11/1.50 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.11/1.50 % SZS output start Refutation
% 6.11/1.50 thf(defined_type, type, defined: $i > $o).
% 6.11/1.50 thf(additive_identity_type, type, additive_identity: $i).
% 6.11/1.50 thf(add_type, type, add: $i > $i > $i).
% 6.11/1.50 thf(equalish_type, type, equalish: $i > $i > $o).
% 6.11/1.50 thf(a_type, type, a: $i).
% 6.11/1.50 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 6.11/1.50 thf(additive_inverse_not_equal_to_additive_identity_3, conjecture,
% 6.11/1.50 (equalish @ ( additive_inverse @ a ) @ additive_identity)).
% 6.11/1.50 thf(zf_stmt_0, negated_conjecture,
% 6.11/1.50 (~( equalish @ ( additive_inverse @ a ) @ additive_identity )),
% 6.11/1.50 inference('cnf.neg', [status(esa)],
% 6.11/1.50 [additive_inverse_not_equal_to_additive_identity_3])).
% 6.11/1.50 thf(zip_derived_cl29, plain,
% 6.11/1.50 (~ (equalish @ (additive_inverse @ a) @ additive_identity)),
% 6.11/1.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.11/1.50 thf(well_definedness_of_additive_inverse, axiom,
% 6.11/1.50 (( defined @ ( additive_inverse @ X ) ) | ( ~( defined @ X ) ))).
% 6.11/1.50 thf(zip_derived_cl11, plain,
% 6.11/1.50 (![X0 : $i]: ( (defined @ (additive_inverse @ X0)) | ~ (defined @ X0))),
% 6.11/1.50 inference('cnf', [status(esa)], [well_definedness_of_additive_inverse])).
% 6.11/1.50 thf(a_equals_additive_identity_2, conjecture,
% 6.11/1.50 (~( equalish @ a @ additive_identity ))).
% 6.11/1.50 thf(zf_stmt_1, negated_conjecture, (equalish @ a @ additive_identity),
% 6.11/1.50 inference('cnf.neg', [status(esa)], [a_equals_additive_identity_2])).
% 6.11/1.50 thf(zip_derived_cl28, plain, ( (equalish @ a @ additive_identity)),
% 6.11/1.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.11/1.50 thf(symmetry_of_equality, axiom,
% 6.11/1.50 (( equalish @ X @ Y ) | ( ~( equalish @ Y @ X ) ))).
% 6.11/1.50 thf(zip_derived_cl21, plain,
% 6.11/1.50 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 6.11/1.50 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 6.11/1.50 thf(zip_derived_cl32, plain, ( (equalish @ additive_identity @ a)),
% 6.11/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl21])).
% 6.11/1.50 thf(compatibility_of_equality_and_addition, axiom,
% 6.11/1.50 (( equalish @ ( add @ X @ Z ) @ ( add @ Y @ Z ) ) | ( ~( defined @ Z ) ) |
% 6.11/1.50 ( ~( equalish @ X @ Y ) ))).
% 6.11/1.50 thf(zip_derived_cl23, plain,
% 6.11/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.50 ( (equalish @ (add @ X0 @ X1) @ (add @ X2 @ X1))
% 6.11/1.50 | ~ (defined @ X1)
% 6.11/1.50 | ~ (equalish @ X0 @ X2))),
% 6.11/1.50 inference('cnf', [status(esa)], [compatibility_of_equality_and_addition])).
% 6.11/1.50 thf(zip_derived_cl282, plain,
% 6.11/1.50 (![X0 : $i]:
% 6.11/1.50 ( (equalish @ (add @ additive_identity @ X0) @ (add @ a @ X0))
% 6.11/1.50 | ~ (defined @ X0))),
% 6.11/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl23])).
% 6.11/1.50 thf(existence_of_identity_addition, axiom,
% 6.11/1.50 (( equalish @ ( add @ additive_identity @ X ) @ X ) | ( ~( defined @ X ) ))).
% 6.11/1.50 thf(zip_derived_cl1, plain,
% 6.11/1.50 (![X0 : $i]:
% 6.11/1.50 ( (equalish @ (add @ additive_identity @ X0) @ X0) | ~ (defined @ X0))),
% 6.11/1.50 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 6.11/1.50 thf(zip_derived_cl21, plain,
% 6.11/1.50 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 6.11/1.50 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 6.11/1.50 thf(zip_derived_cl34, plain,
% 6.11/1.50 (![X0 : $i]:
% 6.11/1.50 (~ (defined @ X0) | (equalish @ X0 @ (add @ additive_identity @ X0)))),
% 6.11/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 6.11/1.50 thf(transitivity_of_equality, axiom,
% 6.11/1.50 (( equalish @ X @ Z ) | ( ~( equalish @ X @ Y ) ) |
% 6.11/1.50 ( ~( equalish @ Y @ Z ) ))).
% 6.11/1.50 thf(zip_derived_cl22, plain,
% 6.11/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.50 ( (equalish @ X0 @ X1)
% 6.11/1.50 | ~ (equalish @ X0 @ X2)
% 6.11/1.50 | ~ (equalish @ X2 @ X1))),
% 6.11/1.50 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 6.11/1.50 thf(zip_derived_cl41, plain,
% 6.11/1.50 (![X0 : $i, X1 : $i]:
% 6.11/1.50 (~ (defined @ X0)
% 6.11/1.50 | (equalish @ X0 @ X1)
% 6.11/1.50 | ~ (equalish @ (add @ additive_identity @ X0) @ X1))),
% 6.11/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl22])).
% 6.11/1.50 thf(zip_derived_cl6729, plain,
% 6.11/1.50 (![X0 : $i]:
% 6.11/1.50 (~ (defined @ X0)
% 6.11/1.50 | ~ (defined @ X0)
% 6.11/1.50 | (equalish @ X0 @ (add @ a @ X0)))),
% 6.11/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl282, zip_derived_cl41])).
% 6.11/1.50 thf(zip_derived_cl6755, plain,
% 6.11/1.50 (![X0 : $i]: ( (equalish @ X0 @ (add @ a @ X0)) | ~ (defined @ X0))),
% 6.11/1.50 inference('simplify', [status(thm)], [zip_derived_cl6729])).
% 6.11/1.50 thf(zip_derived_cl21, plain,
% 6.11/1.50 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 6.11/1.50 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 6.11/1.50 thf(zip_derived_cl6765, plain,
% 6.11/1.50 (![X0 : $i]: (~ (defined @ X0) | (equalish @ (add @ a @ X0) @ X0))),
% 6.11/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl6755, zip_derived_cl21])).
% 6.11/1.50 thf(existence_of_inverse_addition, axiom,
% 6.11/1.50 (( equalish @ ( add @ X @ ( additive_inverse @ X ) ) @ additive_identity ) |
% 6.11/1.50 ( ~( defined @ X ) ))).
% 6.11/1.50 thf(zip_derived_cl2, plain,
% 6.11/1.50 (![X0 : $i]:
% 6.11/1.50 ( (equalish @ (add @ X0 @ (additive_inverse @ X0)) @ additive_identity)
% 6.11/1.50 | ~ (defined @ X0))),
% 6.11/1.50 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 6.11/1.50 thf(zip_derived_cl21, plain,
% 6.11/1.50 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 6.11/1.50 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 6.11/1.50 thf(zip_derived_cl36, plain,
% 6.11/1.50 (![X0 : $i]:
% 6.11/1.50 (~ (defined @ X0)
% 6.11/1.50 | (equalish @ additive_identity @
% 6.11/1.50 (add @ X0 @ (additive_inverse @ X0))))),
% 6.11/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl21])).
% 6.11/1.50 thf(zip_derived_cl22, plain,
% 6.11/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.50 ( (equalish @ X0 @ X1)
% 6.11/1.50 | ~ (equalish @ X0 @ X2)
% 6.11/1.50 | ~ (equalish @ X2 @ X1))),
% 6.11/1.50 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 6.11/1.50 thf(zip_derived_cl46, plain,
% 6.11/1.50 (![X0 : $i, X1 : $i]:
% 6.11/1.50 (~ (defined @ X0)
% 6.11/1.50 | (equalish @ additive_identity @ X1)
% 6.11/1.50 | ~ (equalish @ (add @ X0 @ (additive_inverse @ X0)) @ X1))),
% 6.11/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl22])).
% 6.11/1.50 thf(zip_derived_cl6863, plain,
% 6.11/1.50 ((~ (defined @ (additive_inverse @ a))
% 6.11/1.50 | ~ (defined @ a)
% 6.11/1.50 | (equalish @ additive_identity @ (additive_inverse @ a)))),
% 6.11/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl6765, zip_derived_cl46])).
% 6.11/1.50 thf(a_is_defined, axiom, (defined @ a)).
% 6.11/1.50 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 6.11/1.50 inference('cnf', [status(esa)], [a_is_defined])).
% 6.11/1.50 thf(zip_derived_cl6872, plain,
% 6.11/1.50 ((~ (defined @ (additive_inverse @ a))
% 6.11/1.50 | (equalish @ additive_identity @ (additive_inverse @ a)))),
% 6.11/1.50 inference('demod', [status(thm)], [zip_derived_cl6863, zip_derived_cl27])).
% 6.11/1.50 thf(zip_derived_cl7259, plain,
% 6.11/1.50 ((~ (defined @ a)
% 6.11/1.50 | (equalish @ additive_identity @ (additive_inverse @ a)))),
% 6.11/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl6872])).
% 6.11/1.50 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 6.11/1.50 inference('cnf', [status(esa)], [a_is_defined])).
% 6.11/1.50 thf(zip_derived_cl7260, plain,
% 6.11/1.50 ( (equalish @ additive_identity @ (additive_inverse @ a))),
% 6.11/1.50 inference('demod', [status(thm)], [zip_derived_cl7259, zip_derived_cl27])).
% 6.11/1.50 thf(zip_derived_cl21, plain,
% 6.11/1.50 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 6.11/1.50 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 6.11/1.50 thf(zip_derived_cl7263, plain,
% 6.11/1.50 ( (equalish @ (additive_inverse @ a) @ additive_identity)),
% 6.11/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl7260, zip_derived_cl21])).
% 6.11/1.50 thf(zip_derived_cl7276, plain, ($false),
% 6.11/1.50 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl7263])).
% 6.11/1.50
% 6.11/1.50 % SZS output end Refutation
% 6.11/1.50
% 6.11/1.50
% 6.11/1.50 % Terminating...
% 6.66/1.56 % Runner terminated.
% 6.66/1.57 % Zipperpin 1.5 exiting
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