TSTP Solution File: FLD022-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD022-3 : 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.xYRCVOl9XK true
% Computer : n001.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 22:39:13 EDT 2023
% Result : Unsatisfiable 1.30s 0.94s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD022-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xYRCVOl9XK true
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 01:16:19 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.67 % Total configuration time : 435
% 0.20/0.67 % Estimated wc time : 1092
% 0.20/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.04/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.04/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.04/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.04/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.04/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.94 % Solved by fo/fo5.sh.
% 1.30/0.94 % done 369 iterations in 0.154s
% 1.30/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.30/0.94 % SZS output start Refutation
% 1.30/0.94 thf(sum_type, type, sum: $i > $i > $i > $o).
% 1.30/0.94 thf(b_type, type, b: $i).
% 1.30/0.94 thf(a_type, type, a: $i).
% 1.30/0.94 thf(u_type, type, u: $i).
% 1.30/0.94 thf(additive_identity_type, type, additive_identity: $i).
% 1.30/0.94 thf(c_type, type, c: $i).
% 1.30/0.94 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 1.30/0.94 thf(defined_type, type, defined: $i > $o).
% 1.30/0.94 thf(not_sum_7, conjecture, (sum @ additive_identity @ a @ b)).
% 1.30/0.94 thf(zf_stmt_0, negated_conjecture, (~( sum @ additive_identity @ a @ b )),
% 1.30/0.94 inference('cnf.neg', [status(esa)], [not_sum_7])).
% 1.30/0.94 thf(zip_derived_cl32, plain, (~ (sum @ additive_identity @ a @ b)),
% 1.30/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.94 thf(sum_6, conjecture, (~( sum @ b @ c @ u ))).
% 1.30/0.94 thf(zf_stmt_1, negated_conjecture, (sum @ b @ c @ u),
% 1.30/0.94 inference('cnf.neg', [status(esa)], [sum_6])).
% 1.30/0.94 thf(zip_derived_cl31, plain, ( (sum @ b @ c @ u)),
% 1.30/0.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.30/0.94 thf(commutativity_addition, axiom,
% 1.30/0.94 (( sum @ Y @ X @ Z ) | ( ~( sum @ X @ Y @ Z ) ))).
% 1.30/0.94 thf(zip_derived_cl4, plain,
% 1.30/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.94 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 1.30/0.94 inference('cnf', [status(esa)], [commutativity_addition])).
% 1.30/0.94 thf(zip_derived_cl53, plain, ( (sum @ c @ b @ u)),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl4])).
% 1.30/0.94 thf(existence_of_inverse_addition, axiom,
% 1.30/0.94 (( sum @ ( additive_inverse @ X ) @ X @ additive_identity ) |
% 1.30/0.94 ( ~( defined @ X ) ))).
% 1.30/0.94 thf(zip_derived_cl3, plain,
% 1.30/0.94 (![X0 : $i]:
% 1.30/0.94 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 1.30/0.94 | ~ (defined @ X0))),
% 1.30/0.94 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 1.30/0.94 thf(zip_derived_cl4, plain,
% 1.30/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.94 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 1.30/0.94 inference('cnf', [status(esa)], [commutativity_addition])).
% 1.30/0.94 thf(zip_derived_cl60, plain,
% 1.30/0.94 (![X0 : $i]:
% 1.30/0.94 (~ (defined @ X0)
% 1.30/0.94 | (sum @ X0 @ (additive_inverse @ X0) @ additive_identity))),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 1.30/0.94 thf(existence_of_identity_addition, axiom,
% 1.30/0.94 (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 1.30/0.94 thf(zip_derived_cl2, plain,
% 1.30/0.94 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 1.30/0.94 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 1.30/0.94 thf(zip_derived_cl4, plain,
% 1.30/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.94 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 1.30/0.94 inference('cnf', [status(esa)], [commutativity_addition])).
% 1.30/0.94 thf(zip_derived_cl51, plain,
% 1.30/0.94 (![X0 : $i]: (~ (defined @ X0) | (sum @ X0 @ additive_identity @ X0))),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 1.30/0.94 thf(sum_5, conjecture, (~( sum @ a @ c @ u ))).
% 1.30/0.94 thf(zf_stmt_2, negated_conjecture, (sum @ a @ c @ u),
% 1.30/0.94 inference('cnf.neg', [status(esa)], [sum_5])).
% 1.30/0.94 thf(zip_derived_cl30, plain, ( (sum @ a @ c @ u)),
% 1.30/0.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.30/0.94 thf(associativity_addition_2, axiom,
% 1.30/0.94 (( sum @ U @ Z @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 1.30/0.94 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ X @ V @ W ) ))).
% 1.30/0.94 thf(zip_derived_cl1, plain,
% 1.30/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.30/0.94 ( (sum @ X0 @ X1 @ X2)
% 1.30/0.94 | ~ (sum @ X3 @ X4 @ X0)
% 1.30/0.94 | ~ (sum @ X4 @ X1 @ X5)
% 1.30/0.94 | ~ (sum @ X3 @ X5 @ X2))),
% 1.30/0.94 inference('cnf', [status(esa)], [associativity_addition_2])).
% 1.30/0.94 thf(zip_derived_cl68, plain,
% 1.30/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.94 (~ (sum @ a @ X1 @ X0) | ~ (sum @ c @ X2 @ X1) | (sum @ u @ X2 @ X0))),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 1.30/0.94 thf(zip_derived_cl1380, plain,
% 1.30/0.94 (![X0 : $i]:
% 1.30/0.94 (~ (defined @ a)
% 1.30/0.94 | (sum @ u @ X0 @ a)
% 1.30/0.94 | ~ (sum @ c @ X0 @ additive_identity))),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl68])).
% 1.30/0.94 thf(a_is_defined, axiom, (defined @ a)).
% 1.30/0.94 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 1.30/0.94 inference('cnf', [status(esa)], [a_is_defined])).
% 1.30/0.94 thf(zip_derived_cl1390, plain,
% 1.30/0.94 (![X0 : $i]: ( (sum @ u @ X0 @ a) | ~ (sum @ c @ X0 @ additive_identity))),
% 1.30/0.94 inference('demod', [status(thm)], [zip_derived_cl1380, zip_derived_cl26])).
% 1.30/0.94 thf(zip_derived_cl1430, plain,
% 1.30/0.94 ((~ (defined @ c) | (sum @ u @ (additive_inverse @ c) @ a))),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl1390])).
% 1.30/0.94 thf(c_is_defined, axiom, (defined @ c)).
% 1.30/0.94 thf(zip_derived_cl28, plain, ( (defined @ c)),
% 1.30/0.94 inference('cnf', [status(esa)], [c_is_defined])).
% 1.30/0.94 thf(zip_derived_cl1432, plain, ( (sum @ u @ (additive_inverse @ c) @ a)),
% 1.30/0.94 inference('demod', [status(thm)], [zip_derived_cl1430, zip_derived_cl28])).
% 1.30/0.94 thf(zip_derived_cl4, plain,
% 1.30/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.94 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 1.30/0.94 inference('cnf', [status(esa)], [commutativity_addition])).
% 1.30/0.94 thf(zip_derived_cl1436, plain, ( (sum @ (additive_inverse @ c) @ u @ a)),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl1432, zip_derived_cl4])).
% 1.30/0.94 thf(zip_derived_cl3, plain,
% 1.30/0.94 (![X0 : $i]:
% 1.30/0.94 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 1.30/0.94 | ~ (defined @ X0))),
% 1.30/0.94 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 1.30/0.94 thf(zip_derived_cl1, plain,
% 1.30/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.30/0.94 ( (sum @ X0 @ X1 @ X2)
% 1.30/0.94 | ~ (sum @ X3 @ X4 @ X0)
% 1.30/0.94 | ~ (sum @ X4 @ X1 @ X5)
% 1.30/0.94 | ~ (sum @ X3 @ X5 @ X2))),
% 1.30/0.94 inference('cnf', [status(esa)], [associativity_addition_2])).
% 1.30/0.94 thf(zip_derived_cl67, plain,
% 1.30/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.94 (~ (defined @ X0)
% 1.30/0.94 | ~ (sum @ (additive_inverse @ X0) @ X2 @ X1)
% 1.30/0.94 | ~ (sum @ X0 @ X3 @ X2)
% 1.30/0.94 | (sum @ additive_identity @ X3 @ X1))),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.30/0.94 thf(zip_derived_cl1450, plain,
% 1.30/0.94 (![X0 : $i]:
% 1.30/0.94 ( (sum @ additive_identity @ X0 @ a)
% 1.30/0.94 | ~ (sum @ c @ X0 @ u)
% 1.30/0.94 | ~ (defined @ c))),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl1436, zip_derived_cl67])).
% 1.30/0.94 thf(zip_derived_cl28, plain, ( (defined @ c)),
% 1.30/0.94 inference('cnf', [status(esa)], [c_is_defined])).
% 1.30/0.94 thf(zip_derived_cl1451, plain,
% 1.30/0.94 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ a) | ~ (sum @ c @ X0 @ u))),
% 1.30/0.94 inference('demod', [status(thm)], [zip_derived_cl1450, zip_derived_cl28])).
% 1.30/0.94 thf(zip_derived_cl1471, plain, ( (sum @ additive_identity @ b @ a)),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl1451])).
% 1.30/0.94 thf(zip_derived_cl2, plain,
% 1.30/0.94 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 1.30/0.94 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 1.30/0.94 thf(zip_derived_cl2, plain,
% 1.30/0.94 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 1.30/0.94 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 1.30/0.94 thf(zip_derived_cl2, plain,
% 1.30/0.94 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 1.30/0.94 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 1.30/0.94 thf(associativity_addition_1, axiom,
% 1.30/0.94 (( sum @ X @ V @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 1.30/0.94 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ U @ Z @ W ) ))).
% 1.30/0.94 thf(zip_derived_cl0, plain,
% 1.30/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.30/0.94 ( (sum @ X0 @ X1 @ X2)
% 1.30/0.94 | ~ (sum @ X0 @ X3 @ X4)
% 1.30/0.94 | ~ (sum @ X3 @ X5 @ X1)
% 1.30/0.94 | ~ (sum @ X4 @ X5 @ X2))),
% 1.30/0.94 inference('cnf', [status(esa)], [associativity_addition_1])).
% 1.30/0.94 thf(zip_derived_cl37, plain,
% 1.30/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.94 (~ (sum @ X0 @ X1 @ X0)
% 1.30/0.94 | ~ (sum @ X1 @ X1 @ X2)
% 1.30/0.94 | (sum @ X0 @ X2 @ X0))),
% 1.30/0.94 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 1.30/0.94 thf(zip_derived_cl46, plain,
% 1.30/0.94 (![X0 : $i]:
% 1.30/0.94 (~ (defined @ additive_identity)
% 1.30/0.94 | (sum @ additive_identity @ X0 @ additive_identity)
% 1.30/0.94 | ~ (sum @ additive_identity @ additive_identity @ X0))),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl37])).
% 1.30/0.94 thf(well_definedness_of_additive_identity, axiom,
% 1.30/0.94 (defined @ additive_identity)).
% 1.30/0.94 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 1.30/0.94 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 1.30/0.94 thf(zip_derived_cl47, plain,
% 1.30/0.94 (![X0 : $i]:
% 1.30/0.94 ( (sum @ additive_identity @ X0 @ additive_identity)
% 1.30/0.94 | ~ (sum @ additive_identity @ additive_identity @ X0))),
% 1.30/0.94 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl13])).
% 1.30/0.94 thf(zip_derived_cl48, plain,
% 1.30/0.94 ((~ (defined @ additive_identity)
% 1.30/0.94 | (sum @ additive_identity @ additive_identity @ additive_identity))),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl47])).
% 1.30/0.94 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 1.30/0.94 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 1.30/0.94 thf(zip_derived_cl50, plain,
% 1.30/0.94 ( (sum @ additive_identity @ additive_identity @ additive_identity)),
% 1.30/0.94 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl13])).
% 1.30/0.94 thf(zip_derived_cl0, plain,
% 1.30/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.30/0.94 ( (sum @ X0 @ X1 @ X2)
% 1.30/0.94 | ~ (sum @ X0 @ X3 @ X4)
% 1.30/0.94 | ~ (sum @ X3 @ X5 @ X1)
% 1.30/0.94 | ~ (sum @ X4 @ X5 @ X2))),
% 1.30/0.94 inference('cnf', [status(esa)], [associativity_addition_1])).
% 1.30/0.94 thf(zip_derived_cl61, plain,
% 1.30/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.94 (~ (sum @ additive_identity @ X1 @ X0)
% 1.30/0.94 | ~ (sum @ additive_identity @ X1 @ X2)
% 1.30/0.94 | (sum @ additive_identity @ X2 @ X0))),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 1.30/0.94 thf(zip_derived_cl119, plain,
% 1.30/0.94 (![X0 : $i, X1 : $i]:
% 1.30/0.94 (~ (defined @ X0)
% 1.30/0.94 | (sum @ additive_identity @ X1 @ X0)
% 1.30/0.94 | ~ (sum @ additive_identity @ X0 @ X1))),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl61])).
% 1.30/0.94 thf(zip_derived_cl1505, plain,
% 1.30/0.94 (( (sum @ additive_identity @ a @ b) | ~ (defined @ b))),
% 1.30/0.94 inference('sup-', [status(thm)], [zip_derived_cl1471, zip_derived_cl119])).
% 1.30/0.94 thf(b_is_defined, axiom, (defined @ b)).
% 1.30/0.94 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 1.30/0.94 inference('cnf', [status(esa)], [b_is_defined])).
% 1.30/0.94 thf(zip_derived_cl1513, plain, ( (sum @ additive_identity @ a @ b)),
% 1.30/0.94 inference('demod', [status(thm)], [zip_derived_cl1505, zip_derived_cl27])).
% 1.30/0.94 thf(zip_derived_cl1541, plain, ($false),
% 1.30/0.94 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl1513])).
% 1.30/0.94
% 1.30/0.94 % SZS output end Refutation
% 1.30/0.94
% 1.30/0.94
% 1.30/0.94 % Terminating...
% 1.51/0.99 % Runner terminated.
% 1.51/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------