TSTP Solution File: FLD008-4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD008-4 : 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.a5P1V5saMP true
% Computer : n032.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 22:39:06 EDT 2023
% Result : Unsatisfiable 8.63s 1.72s
% Output : Refutation 8.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : FLD008-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.a5P1V5saMP true
% 0.12/0.29 % Computer : n032.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8042.1875MB
% 0.12/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Mon Aug 28 00:40:15 EDT 2023
% 0.12/0.29 % CPUTime :
% 0.12/0.29 % Running portfolio for 300 s
% 0.12/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.29 % Number of cores: 8
% 0.12/0.29 % Python version: Python 3.6.8
% 0.12/0.30 % Running in FO mode
% 0.14/0.53 % Total configuration time : 435
% 0.14/0.53 % Estimated wc time : 1092
% 0.14/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.63/1.72 % Solved by fo/fo13.sh.
% 8.63/1.72 % done 1587 iterations in 1.109s
% 8.63/1.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.63/1.72 % SZS output start Refutation
% 8.63/1.72 thf(sum_type, type, sum: $i > $i > $i > $o).
% 8.63/1.72 thf(b_type, type, b: $i).
% 8.63/1.72 thf(a_type, type, a: $i).
% 8.63/1.72 thf(d_type, type, d: $i).
% 8.63/1.72 thf(additive_identity_type, type, additive_identity: $i).
% 8.63/1.72 thf(c_type, type, c: $i).
% 8.63/1.72 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 8.63/1.72 thf(defined_type, type, defined: $i > $o).
% 8.63/1.72 thf(not_sum_7, conjecture,
% 8.63/1.72 (sum @ additive_identity @ ( additive_inverse @ c ) @ d)).
% 8.63/1.72 thf(zf_stmt_0, negated_conjecture,
% 8.63/1.72 (~( sum @ additive_identity @ ( additive_inverse @ c ) @ d )),
% 8.63/1.72 inference('cnf.neg', [status(esa)], [not_sum_7])).
% 8.63/1.72 thf(zip_derived_cl32, plain,
% 8.63/1.72 (~ (sum @ additive_identity @ (additive_inverse @ c) @ d)),
% 8.63/1.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.63/1.72 thf(existence_of_inverse_addition, axiom,
% 8.63/1.72 (( sum @ ( additive_inverse @ X ) @ X @ additive_identity ) |
% 8.63/1.72 ( ~( defined @ X ) ))).
% 8.63/1.72 thf(zip_derived_cl3, plain,
% 8.63/1.72 (![X0 : $i]:
% 8.63/1.72 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 8.63/1.72 | ~ (defined @ X0))),
% 8.63/1.72 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 8.63/1.72 thf(commutativity_addition, axiom,
% 8.63/1.72 (( sum @ Y @ X @ Z ) | ( ~( sum @ X @ Y @ Z ) ))).
% 8.63/1.72 thf(zip_derived_cl4, plain,
% 8.63/1.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.63/1.72 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 8.63/1.72 inference('cnf', [status(esa)], [commutativity_addition])).
% 8.63/1.72 thf(zip_derived_cl42, plain,
% 8.63/1.72 (![X0 : $i]:
% 8.63/1.72 (~ (defined @ X0)
% 8.63/1.72 | (sum @ X0 @ (additive_inverse @ X0) @ additive_identity))),
% 8.63/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 8.63/1.72 thf(well_definedness_of_additive_inverse, axiom,
% 8.63/1.72 (( defined @ ( additive_inverse @ X ) ) | ( ~( defined @ X ) ))).
% 8.63/1.72 thf(zip_derived_cl14, plain,
% 8.63/1.72 (![X0 : $i]: ( (defined @ (additive_inverse @ X0)) | ~ (defined @ X0))),
% 8.63/1.72 inference('cnf', [status(esa)], [well_definedness_of_additive_inverse])).
% 8.63/1.72 thf(existence_of_identity_addition, axiom,
% 8.63/1.72 (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 8.63/1.72 thf(zip_derived_cl2, plain,
% 8.63/1.72 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 8.63/1.72 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 8.63/1.72 thf(zip_derived_cl4, plain,
% 8.63/1.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.63/1.72 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 8.63/1.72 inference('cnf', [status(esa)], [commutativity_addition])).
% 8.63/1.72 thf(zip_derived_cl41, plain,
% 8.63/1.72 (![X0 : $i]: (~ (defined @ X0) | (sum @ X0 @ additive_identity @ X0))),
% 8.63/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 8.63/1.72 thf(zip_derived_cl3, plain,
% 8.63/1.72 (![X0 : $i]:
% 8.63/1.72 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 8.63/1.72 | ~ (defined @ X0))),
% 8.63/1.72 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 8.63/1.72 thf(sum_6, conjecture,
% 8.63/1.72 (~( sum @ ( additive_inverse @ a ) @ ( additive_inverse @ b ) @ d ))).
% 8.63/1.72 thf(zf_stmt_1, negated_conjecture,
% 8.63/1.72 (sum @ ( additive_inverse @ a ) @ ( additive_inverse @ b ) @ d),
% 8.63/1.72 inference('cnf.neg', [status(esa)], [sum_6])).
% 8.63/1.72 thf(zip_derived_cl31, plain,
% 8.63/1.72 ( (sum @ (additive_inverse @ a) @ (additive_inverse @ b) @ d)),
% 8.63/1.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.63/1.72 thf(associativity_addition_2, axiom,
% 8.63/1.72 (( sum @ U @ Z @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 8.63/1.72 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ X @ V @ W ) ))).
% 8.63/1.72 thf(zip_derived_cl1, plain,
% 8.63/1.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.63/1.72 ( (sum @ X0 @ X1 @ X2)
% 8.63/1.72 | ~ (sum @ X3 @ X4 @ X0)
% 8.63/1.72 | ~ (sum @ X4 @ X1 @ X5)
% 8.63/1.72 | ~ (sum @ X3 @ X5 @ X2))),
% 8.63/1.72 inference('cnf', [status(esa)], [associativity_addition_2])).
% 8.63/1.72 thf(zip_derived_cl39, plain,
% 8.63/1.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.63/1.72 ( (sum @ d @ X1 @ X0)
% 8.63/1.72 | ~ (sum @ (additive_inverse @ b) @ X1 @ X2)
% 8.63/1.72 | ~ (sum @ (additive_inverse @ a) @ X2 @ X0))),
% 8.63/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 8.63/1.72 thf(zip_derived_cl412, plain,
% 8.63/1.72 (![X0 : $i]:
% 8.63/1.72 (~ (defined @ b)
% 8.63/1.72 | (sum @ d @ b @ X0)
% 8.63/1.72 | ~ (sum @ (additive_inverse @ a) @ additive_identity @ X0))),
% 8.63/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl39])).
% 8.63/1.72 thf(b_is_defined, axiom, (defined @ b)).
% 8.63/1.72 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 8.63/1.72 inference('cnf', [status(esa)], [b_is_defined])).
% 8.63/1.72 thf(zip_derived_cl414, plain,
% 8.63/1.72 (![X0 : $i]:
% 8.63/1.72 ( (sum @ d @ b @ X0)
% 8.63/1.72 | ~ (sum @ (additive_inverse @ a) @ additive_identity @ X0))),
% 8.63/1.72 inference('demod', [status(thm)], [zip_derived_cl412, zip_derived_cl27])).
% 8.63/1.72 thf(zip_derived_cl627, plain,
% 8.63/1.72 ((~ (defined @ (additive_inverse @ a))
% 8.63/1.72 | (sum @ d @ b @ (additive_inverse @ a)))),
% 8.63/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl414])).
% 8.63/1.72 thf(zip_derived_cl659, plain,
% 8.63/1.72 ((~ (defined @ a) | (sum @ d @ b @ (additive_inverse @ a)))),
% 8.63/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl627])).
% 8.63/1.72 thf(a_is_defined, axiom, (defined @ a)).
% 8.63/1.72 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 8.63/1.72 inference('cnf', [status(esa)], [a_is_defined])).
% 8.63/1.72 thf(zip_derived_cl660, plain, ( (sum @ d @ b @ (additive_inverse @ a))),
% 8.63/1.72 inference('demod', [status(thm)], [zip_derived_cl659, zip_derived_cl26])).
% 8.63/1.72 thf(zip_derived_cl4, plain,
% 8.63/1.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.63/1.72 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 8.63/1.72 inference('cnf', [status(esa)], [commutativity_addition])).
% 8.63/1.72 thf(zip_derived_cl690, plain, ( (sum @ b @ d @ (additive_inverse @ a))),
% 8.63/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl660, zip_derived_cl4])).
% 8.63/1.72 thf(sum_5, conjecture, (~( sum @ a @ b @ c ))).
% 8.63/1.72 thf(zf_stmt_2, negated_conjecture, (sum @ a @ b @ c),
% 8.63/1.72 inference('cnf.neg', [status(esa)], [sum_5])).
% 8.63/1.72 thf(zip_derived_cl30, plain, ( (sum @ a @ b @ c)),
% 8.63/1.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.63/1.72 thf(zip_derived_cl1, plain,
% 8.63/1.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.63/1.72 ( (sum @ X0 @ X1 @ X2)
% 8.63/1.72 | ~ (sum @ X3 @ X4 @ X0)
% 8.63/1.72 | ~ (sum @ X4 @ X1 @ X5)
% 8.63/1.72 | ~ (sum @ X3 @ X5 @ X2))),
% 8.63/1.72 inference('cnf', [status(esa)], [associativity_addition_2])).
% 8.63/1.72 thf(zip_derived_cl40, plain,
% 8.63/1.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.63/1.72 ( (sum @ c @ X1 @ X0) | ~ (sum @ b @ X1 @ X2) | ~ (sum @ a @ X2 @ X0))),
% 8.63/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 8.63/1.72 thf(zip_derived_cl703, plain,
% 8.63/1.72 (![X0 : $i]:
% 8.63/1.72 ( (sum @ c @ d @ X0) | ~ (sum @ a @ (additive_inverse @ a) @ X0))),
% 8.63/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl690, zip_derived_cl40])).
% 8.63/1.72 thf(zip_derived_cl1028, plain,
% 8.63/1.72 ((~ (defined @ a) | (sum @ c @ d @ additive_identity))),
% 8.63/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl703])).
% 8.63/1.72 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 8.63/1.72 inference('cnf', [status(esa)], [a_is_defined])).
% 8.63/1.72 thf(zip_derived_cl1030, plain, ( (sum @ c @ d @ additive_identity)),
% 8.63/1.72 inference('demod', [status(thm)], [zip_derived_cl1028, zip_derived_cl26])).
% 8.63/1.72 thf(zip_derived_cl2, plain,
% 8.63/1.72 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 8.63/1.72 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 8.63/1.72 thf(zip_derived_cl3, plain,
% 8.63/1.72 (![X0 : $i]:
% 8.63/1.72 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 8.63/1.72 | ~ (defined @ X0))),
% 8.63/1.72 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 8.63/1.72 thf(associativity_addition_1, axiom,
% 8.63/1.72 (( sum @ X @ V @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 8.63/1.72 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ U @ Z @ W ) ))).
% 8.63/1.72 thf(zip_derived_cl0, plain,
% 8.63/1.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.63/1.72 ( (sum @ X0 @ X1 @ X2)
% 8.63/1.72 | ~ (sum @ X0 @ X3 @ X4)
% 8.63/1.72 | ~ (sum @ X3 @ X5 @ X1)
% 8.63/1.72 | ~ (sum @ X4 @ X5 @ X2))),
% 8.63/1.72 inference('cnf', [status(esa)], [associativity_addition_1])).
% 8.63/1.72 thf(zip_derived_cl36, plain,
% 8.63/1.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.63/1.72 (~ (defined @ X0)
% 8.63/1.72 | (sum @ (additive_inverse @ X0) @ X2 @ X1)
% 8.63/1.72 | ~ (sum @ X0 @ X3 @ X2)
% 8.63/1.72 | ~ (sum @ additive_identity @ X3 @ X1))),
% 8.63/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 8.63/1.72 thf(zip_derived_cl291, plain,
% 8.63/1.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.63/1.72 (~ (defined @ X0)
% 8.63/1.72 | ~ (defined @ X1)
% 8.63/1.72 | (sum @ (additive_inverse @ X1) @ X2 @ X0)
% 8.63/1.72 | ~ (sum @ X1 @ X0 @ X2))),
% 8.63/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl36])).
% 8.63/1.72 thf(zip_derived_cl8997, plain,
% 8.63/1.72 ((~ (defined @ d)
% 8.63/1.72 | ~ (defined @ c)
% 8.63/1.72 | (sum @ (additive_inverse @ c) @ additive_identity @ d))),
% 8.63/1.72 inference('s_sup-', [status(thm)],
% 8.63/1.72 [zip_derived_cl1030, zip_derived_cl291])).
% 8.63/1.72 thf(d_is_defined, axiom, (defined @ d)).
% 8.63/1.72 thf(zip_derived_cl29, plain, ( (defined @ d)),
% 8.63/1.72 inference('cnf', [status(esa)], [d_is_defined])).
% 8.63/1.72 thf(c_is_defined, axiom, (defined @ c)).
% 8.63/1.72 thf(zip_derived_cl28, plain, ( (defined @ c)),
% 8.63/1.72 inference('cnf', [status(esa)], [c_is_defined])).
% 8.63/1.72 thf(zip_derived_cl9242, plain,
% 8.63/1.72 ( (sum @ (additive_inverse @ c) @ additive_identity @ d)),
% 8.63/1.72 inference('demod', [status(thm)],
% 8.63/1.72 [zip_derived_cl8997, zip_derived_cl29, zip_derived_cl28])).
% 8.63/1.72 thf(zip_derived_cl4, plain,
% 8.63/1.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.63/1.72 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 8.63/1.72 inference('cnf', [status(esa)], [commutativity_addition])).
% 8.63/1.72 thf(zip_derived_cl9348, plain,
% 8.63/1.72 ( (sum @ additive_identity @ (additive_inverse @ c) @ d)),
% 8.63/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl9242, zip_derived_cl4])).
% 8.63/1.72 thf(zip_derived_cl9427, plain, ($false),
% 8.63/1.72 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl9348])).
% 8.63/1.72
% 8.63/1.72 % SZS output end Refutation
% 8.63/1.72
% 8.63/1.72
% 8.63/1.72 % Terminating...
% 9.16/1.84 % Runner terminated.
% 9.16/1.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------