TSTP Solution File: FLD018-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD018-3 : 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.GFGEBOMiyU 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 22:39:12 EDT 2023
% Result : Unsatisfiable 1.22s 0.77s
% Output : Refutation 1.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : FLD018-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GFGEBOMiyU true
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 00:46:39 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % 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
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.22/0.77 % Solved by fo/fo1_av.sh.
% 1.22/0.77 % done 42 iterations in 0.025s
% 1.22/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.22/0.77 % SZS output start Refutation
% 1.22/0.77 thf(sum_type, type, sum: $i > $i > $i > $o).
% 1.22/0.77 thf(a_type, type, a: $i).
% 1.22/0.77 thf(additive_identity_type, type, additive_identity: $i).
% 1.22/0.77 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 1.22/0.77 thf(defined_type, type, defined: $i > $o).
% 1.22/0.77 thf(not_sum_3, conjecture,
% 1.22/0.77 (sum @ additive_identity @ ( additive_inverse @ a ) @ additive_identity)).
% 1.22/0.77 thf(zf_stmt_0, negated_conjecture,
% 1.22/0.77 (~( sum @ additive_identity @ ( additive_inverse @ a ) @ additive_identity )),
% 1.22/0.77 inference('cnf.neg', [status(esa)], [not_sum_3])).
% 1.22/0.77 thf(zip_derived_cl28, plain,
% 1.22/0.77 (~ (sum @ additive_identity @ (additive_inverse @ a) @ additive_identity)),
% 1.22/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.22/0.77 thf(existence_of_inverse_addition, axiom,
% 1.22/0.77 (( sum @ ( additive_inverse @ X ) @ X @ additive_identity ) |
% 1.22/0.77 ( ~( defined @ X ) ))).
% 1.22/0.77 thf(zip_derived_cl3, plain,
% 1.22/0.77 (![X0 : $i]:
% 1.22/0.77 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 1.22/0.77 | ~ (defined @ X0))),
% 1.22/0.77 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 1.22/0.77 thf(commutativity_addition, axiom,
% 1.22/0.77 (( sum @ Y @ X @ Z ) | ( ~( sum @ X @ Y @ Z ) ))).
% 1.22/0.77 thf(zip_derived_cl4, plain,
% 1.22/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.77 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 1.22/0.77 inference('cnf', [status(esa)], [commutativity_addition])).
% 1.22/0.77 thf(zip_derived_cl53, plain,
% 1.22/0.77 (![X0 : $i]:
% 1.22/0.77 (~ (defined @ X0)
% 1.22/0.77 | (sum @ X0 @ (additive_inverse @ X0) @ additive_identity))),
% 1.22/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 1.22/0.77 thf(sum_2, conjecture,
% 1.22/0.77 (~( sum @ additive_identity @ a @ additive_identity ))).
% 1.22/0.77 thf(zf_stmt_1, negated_conjecture,
% 1.22/0.77 (sum @ additive_identity @ a @ additive_identity),
% 1.22/0.77 inference('cnf.neg', [status(esa)], [sum_2])).
% 1.22/0.77 thf(zip_derived_cl27, plain,
% 1.22/0.77 ( (sum @ additive_identity @ a @ additive_identity)),
% 1.22/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/0.77 thf(associativity_addition_1, axiom,
% 1.22/0.77 (( sum @ X @ V @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 1.22/0.77 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ U @ Z @ W ) ))).
% 1.22/0.77 thf(zip_derived_cl0, plain,
% 1.22/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/0.77 ( (sum @ X0 @ X1 @ X2)
% 1.22/0.77 | ~ (sum @ X0 @ X3 @ X4)
% 1.22/0.77 | ~ (sum @ X3 @ X5 @ X1)
% 1.22/0.77 | ~ (sum @ X4 @ X5 @ X2))),
% 1.22/0.77 inference('cnf', [status(esa)], [associativity_addition_1])).
% 1.22/0.77 thf(zip_derived_cl29, plain,
% 1.22/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.77 ( (sum @ additive_identity @ X1 @ X0)
% 1.22/0.77 | ~ (sum @ a @ X2 @ X1)
% 1.22/0.77 | ~ (sum @ additive_identity @ X2 @ X0))),
% 1.22/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl0])).
% 1.22/0.77 thf(zip_derived_cl61, plain,
% 1.22/0.77 (![X0 : $i]:
% 1.22/0.77 (~ (defined @ a)
% 1.22/0.77 | (sum @ additive_identity @ additive_identity @ X0)
% 1.22/0.77 | ~ (sum @ additive_identity @ (additive_inverse @ a) @ X0))),
% 1.22/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl29])).
% 1.22/0.77 thf(a_is_defined, axiom, (defined @ a)).
% 1.22/0.77 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 1.22/0.77 inference('cnf', [status(esa)], [a_is_defined])).
% 1.22/0.77 thf(zip_derived_cl64, plain,
% 1.22/0.77 (![X0 : $i]:
% 1.22/0.77 ( (sum @ additive_identity @ additive_identity @ X0)
% 1.22/0.77 | ~ (sum @ additive_identity @ (additive_inverse @ a) @ X0))),
% 1.22/0.77 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl26])).
% 1.22/0.77 thf(existence_of_identity_addition, axiom,
% 1.22/0.77 (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 1.22/0.77 thf(zip_derived_cl2, plain,
% 1.22/0.77 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 1.22/0.77 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 1.22/0.77 thf(zip_derived_cl93, plain,
% 1.22/0.77 (( (sum @ additive_identity @ additive_identity @ (additive_inverse @ a))
% 1.22/0.77 | ~ (defined @ (additive_inverse @ a)))),
% 1.22/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl2])).
% 1.22/0.77 thf(zip_derived_cl95, plain,
% 1.22/0.77 (( (sum @ additive_identity @ additive_identity @ (additive_inverse @ a)))
% 1.22/0.77 <= (( (sum @ additive_identity @ additive_identity @
% 1.22/0.77 (additive_inverse @ a))))),
% 1.22/0.77 inference('split', [status(esa)], [zip_derived_cl93])).
% 1.22/0.77 thf(zip_derived_cl2, plain,
% 1.22/0.77 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 1.22/0.77 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 1.22/0.77 thf(zip_derived_cl0, plain,
% 1.22/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/0.77 ( (sum @ X0 @ X1 @ X2)
% 1.22/0.77 | ~ (sum @ X0 @ X3 @ X4)
% 1.22/0.77 | ~ (sum @ X3 @ X5 @ X1)
% 1.22/0.77 | ~ (sum @ X4 @ X5 @ X2))),
% 1.22/0.77 inference('cnf', [status(esa)], [associativity_addition_1])).
% 1.22/0.77 thf(zip_derived_cl32, plain,
% 1.22/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.77 (~ (sum @ X0 @ X1 @ X0)
% 1.22/0.77 | ~ (sum @ X1 @ X1 @ X2)
% 1.22/0.77 | (sum @ X0 @ X2 @ X0))),
% 1.22/0.77 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 1.22/0.77 thf(zip_derived_cl76, plain,
% 1.22/0.77 (![X0 : $i]:
% 1.22/0.77 (~ (defined @ additive_identity)
% 1.22/0.77 | ~ (sum @ additive_identity @ additive_identity @ X0)
% 1.22/0.77 | (sum @ additive_identity @ X0 @ additive_identity))),
% 1.22/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl32])).
% 1.22/0.77 thf(well_definedness_of_additive_identity, axiom,
% 1.22/0.77 (defined @ additive_identity)).
% 1.22/0.77 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 1.22/0.77 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 1.22/0.77 thf(zip_derived_cl82, plain,
% 1.22/0.77 (![X0 : $i]:
% 1.22/0.77 (~ (sum @ additive_identity @ additive_identity @ X0)
% 1.22/0.77 | (sum @ additive_identity @ X0 @ additive_identity))),
% 1.22/0.77 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl13])).
% 1.22/0.77 thf(zip_derived_cl100, plain,
% 1.22/0.77 (( (sum @ additive_identity @ (additive_inverse @ a) @ additive_identity))
% 1.22/0.77 <= (( (sum @ additive_identity @ additive_identity @
% 1.22/0.77 (additive_inverse @ a))))),
% 1.22/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl82])).
% 1.22/0.77 thf(well_definedness_of_additive_inverse, axiom,
% 1.22/0.77 (( defined @ ( additive_inverse @ X ) ) | ( ~( defined @ X ) ))).
% 1.22/0.77 thf(zip_derived_cl14, plain,
% 1.22/0.77 (![X0 : $i]: ( (defined @ (additive_inverse @ X0)) | ~ (defined @ X0))),
% 1.22/0.77 inference('cnf', [status(esa)], [well_definedness_of_additive_inverse])).
% 1.22/0.77 thf(zip_derived_cl96, plain,
% 1.22/0.77 ((~ (defined @ (additive_inverse @ a)))
% 1.22/0.77 <= (~ ( (defined @ (additive_inverse @ a))))),
% 1.22/0.77 inference('split', [status(esa)], [zip_derived_cl93])).
% 1.22/0.77 thf(zip_derived_cl107, plain,
% 1.22/0.77 ((~ (defined @ a)) <= (~ ( (defined @ (additive_inverse @ a))))),
% 1.22/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl96])).
% 1.22/0.77 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 1.22/0.77 inference('cnf', [status(esa)], [a_is_defined])).
% 1.22/0.77 thf('0', plain, (( (defined @ (additive_inverse @ a)))),
% 1.22/0.77 inference('demod', [status(thm)], [zip_derived_cl107, zip_derived_cl26])).
% 1.22/0.77 thf('1', plain,
% 1.22/0.77 (( (sum @ additive_identity @ additive_identity @ (additive_inverse @ a))) |
% 1.22/0.77 ~ ( (defined @ (additive_inverse @ a)))),
% 1.22/0.77 inference('split', [status(esa)], [zip_derived_cl93])).
% 1.22/0.77 thf('2', plain,
% 1.22/0.77 (( (sum @ additive_identity @ additive_identity @ (additive_inverse @ a)))),
% 1.22/0.77 inference('sat_resolution*', [status(thm)], ['0', '1'])).
% 1.22/0.77 thf(zip_derived_cl110, plain,
% 1.22/0.77 ( (sum @ additive_identity @ (additive_inverse @ a) @ additive_identity)),
% 1.22/0.77 inference('simpl_trail', [status(thm)], [zip_derived_cl100, '2'])).
% 1.22/0.77 thf(zip_derived_cl111, plain, ($false),
% 1.22/0.77 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl110])).
% 1.22/0.77
% 1.22/0.77 % SZS output end Refutation
% 1.22/0.77
% 1.22/0.77
% 1.22/0.77 % Terminating...
% 1.35/0.85 % Runner terminated.
% 1.75/0.86 % Zipperpin 1.5 exiting
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