TSTP Solution File: FLD013-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD013-3 : 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.3UShTlUSux true
% Computer : n005.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 22:39:09 EDT 2023
% Result : Unsatisfiable 7.51s 1.73s
% Output : Refutation 7.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD013-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3UShTlUSux true
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 00:46:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % 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
% 0.14/0.37 % Running in FO mode
% 0.22/0.71 % Total configuration time : 435
% 0.22/0.71 % Estimated wc time : 1092
% 0.22/0.71 % Estimated cpu time (7 cpus) : 156.0
% 1.37/0.80 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.37/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.37/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.37/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.37/0.82 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.37/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.37/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.51/1.73 % Solved by fo/fo13.sh.
% 7.51/1.73 % done 850 iterations in 0.879s
% 7.51/1.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.51/1.73 % SZS output start Refutation
% 7.51/1.73 thf(sum_type, type, sum: $i > $i > $i > $o).
% 7.51/1.73 thf(b_type, type, b: $i).
% 7.51/1.73 thf(a_type, type, a: $i).
% 7.51/1.73 thf(add_type, type, add: $i > $i > $i).
% 7.51/1.73 thf(d_type, type, d: $i).
% 7.51/1.73 thf(additive_identity_type, type, additive_identity: $i).
% 7.51/1.73 thf(c_type, type, c: $i).
% 7.51/1.73 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 7.51/1.73 thf(defined_type, type, defined: $i > $o).
% 7.51/1.73 thf(not_sum_7, conjecture, (sum @ a @ c @ ( add @ d @ b ))).
% 7.51/1.73 thf(zf_stmt_0, negated_conjecture, (~( sum @ a @ c @ ( add @ d @ b ) )),
% 7.51/1.73 inference('cnf.neg', [status(esa)], [not_sum_7])).
% 7.51/1.73 thf(zip_derived_cl32, plain, (~ (sum @ a @ c @ (add @ d @ b))),
% 7.51/1.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.51/1.73 thf(totality_of_addition, axiom,
% 7.51/1.73 (( sum @ X @ Y @ ( add @ X @ Y ) ) | ( ~( defined @ X ) ) |
% 7.51/1.73 ( ~( defined @ Y ) ))).
% 7.51/1.73 thf(zip_derived_cl18, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i]:
% 7.51/1.73 ( (sum @ X0 @ X1 @ (add @ X0 @ X1))
% 7.51/1.73 | ~ (defined @ X0)
% 7.51/1.73 | ~ (defined @ X1))),
% 7.51/1.73 inference('cnf', [status(esa)], [totality_of_addition])).
% 7.51/1.73 thf(commutativity_addition, axiom,
% 7.51/1.73 (( sum @ Y @ X @ Z ) | ( ~( sum @ X @ Y @ Z ) ))).
% 7.51/1.73 thf(zip_derived_cl4, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.51/1.73 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 7.51/1.73 inference('cnf', [status(esa)], [commutativity_addition])).
% 7.51/1.73 thf(zip_derived_cl63, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i]:
% 7.51/1.73 (~ (defined @ X0)
% 7.51/1.73 | ~ (defined @ X1)
% 7.51/1.73 | (sum @ X0 @ X1 @ (add @ X1 @ X0)))),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl4])).
% 7.51/1.73 thf(sum_6, conjecture, (~( sum @ additive_identity @ c @ d ))).
% 7.51/1.73 thf(zf_stmt_1, negated_conjecture, (sum @ additive_identity @ c @ d),
% 7.51/1.73 inference('cnf.neg', [status(esa)], [sum_6])).
% 7.51/1.73 thf(zip_derived_cl31, plain, ( (sum @ additive_identity @ c @ d)),
% 7.51/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.51/1.73 thf(totality_of_order_relation, axiom,
% 7.51/1.73 (( less_or_equal @ X @ Y ) | ( less_or_equal @ Y @ X ) |
% 7.51/1.73 ( ~( defined @ X ) ) | ( ~( defined @ Y ) ))).
% 7.51/1.73 thf(zip_derived_cl22, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i]:
% 7.51/1.73 ( (less_or_equal @ X0 @ X1)
% 7.51/1.73 | (less_or_equal @ X1 @ X0)
% 7.51/1.73 | ~ (defined @ X0)
% 7.51/1.73 | ~ (defined @ X1))),
% 7.51/1.73 inference('cnf', [status(esa)], [totality_of_order_relation])).
% 7.51/1.73 thf(zip_derived_cl159, plain,
% 7.51/1.73 (![X0 : $i]:
% 7.51/1.73 (~ (defined @ X0) | ~ (defined @ X0) | (less_or_equal @ X0 @ X0))),
% 7.51/1.73 inference('eq_fact', [status(thm)], [zip_derived_cl22])).
% 7.51/1.73 thf(zip_derived_cl161, plain,
% 7.51/1.73 (![X0 : $i]: ( (less_or_equal @ X0 @ X0) | ~ (defined @ X0))),
% 7.51/1.73 inference('simplify', [status(thm)], [zip_derived_cl159])).
% 7.51/1.73 thf(zip_derived_cl31, plain, ( (sum @ additive_identity @ c @ d)),
% 7.51/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.51/1.73 thf(compatibility_of_order_relation_and_addition, axiom,
% 7.51/1.73 (( less_or_equal @ U @ V ) | ( ~( less_or_equal @ X @ Y ) ) |
% 7.51/1.73 ( ~( sum @ X @ Z @ U ) ) | ( ~( sum @ Y @ Z @ V ) ))).
% 7.51/1.73 thf(zip_derived_cl23, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.51/1.73 ( (less_or_equal @ X0 @ X1)
% 7.51/1.73 | ~ (less_or_equal @ X2 @ X3)
% 7.51/1.73 | ~ (sum @ X2 @ X4 @ X0)
% 7.51/1.73 | ~ (sum @ X3 @ X4 @ X1))),
% 7.51/1.73 inference('cnf', [status(esa)],
% 7.51/1.73 [compatibility_of_order_relation_and_addition])).
% 7.51/1.73 thf(zip_derived_cl89, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i]:
% 7.51/1.73 ( (less_or_equal @ d @ X0)
% 7.51/1.73 | ~ (less_or_equal @ additive_identity @ X1)
% 7.51/1.73 | ~ (sum @ X1 @ c @ X0))),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl23])).
% 7.51/1.73 thf(zip_derived_cl229, plain,
% 7.51/1.73 (![X0 : $i]:
% 7.51/1.73 (~ (defined @ additive_identity)
% 7.51/1.73 | (less_or_equal @ d @ X0)
% 7.51/1.73 | ~ (sum @ additive_identity @ c @ X0))),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl89])).
% 7.51/1.73 thf(well_definedness_of_additive_identity, axiom,
% 7.51/1.73 (defined @ additive_identity)).
% 7.51/1.73 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 7.51/1.73 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 7.51/1.73 thf(zip_derived_cl238, plain,
% 7.51/1.73 (![X0 : $i]:
% 7.51/1.73 ( (less_or_equal @ d @ X0) | ~ (sum @ additive_identity @ c @ X0))),
% 7.51/1.73 inference('demod', [status(thm)], [zip_derived_cl229, zip_derived_cl13])).
% 7.51/1.73 thf(zip_derived_cl285, plain, ( (less_or_equal @ d @ d)),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl238])).
% 7.51/1.73 thf(antisymmetry_of_order_relation, axiom,
% 7.51/1.73 (( sum @ additive_identity @ X @ Y ) | ( ~( less_or_equal @ X @ Y ) ) |
% 7.51/1.73 ( ~( less_or_equal @ Y @ X ) ))).
% 7.51/1.73 thf(zip_derived_cl20, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i]:
% 7.51/1.73 ( (sum @ additive_identity @ X0 @ X1)
% 7.51/1.73 | ~ (less_or_equal @ X0 @ X1)
% 7.51/1.73 | ~ (less_or_equal @ X1 @ X0))),
% 7.51/1.73 inference('cnf', [status(esa)], [antisymmetry_of_order_relation])).
% 7.51/1.73 thf(zip_derived_cl288, plain, ( (sum @ additive_identity @ d @ d)),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl20])).
% 7.51/1.73 thf(sum_5, conjecture, (~( sum @ additive_identity @ a @ b ))).
% 7.51/1.73 thf(zf_stmt_2, negated_conjecture, (sum @ additive_identity @ a @ b),
% 7.51/1.73 inference('cnf.neg', [status(esa)], [sum_5])).
% 7.51/1.73 thf(zip_derived_cl30, plain, ( (sum @ additive_identity @ a @ b)),
% 7.51/1.73 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.51/1.73 thf(zip_derived_cl4, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.51/1.73 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 7.51/1.73 inference('cnf', [status(esa)], [commutativity_addition])).
% 7.51/1.73 thf(zip_derived_cl42, plain, ( (sum @ a @ additive_identity @ b)),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl4])).
% 7.51/1.73 thf(associativity_addition_1, axiom,
% 7.51/1.73 (( sum @ X @ V @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 7.51/1.73 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ U @ Z @ W ) ))).
% 7.51/1.73 thf(zip_derived_cl0, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.51/1.73 ( (sum @ X0 @ X1 @ X2)
% 7.51/1.73 | ~ (sum @ X0 @ X3 @ X4)
% 7.51/1.73 | ~ (sum @ X3 @ X5 @ X1)
% 7.51/1.73 | ~ (sum @ X4 @ X5 @ X2))),
% 7.51/1.73 inference('cnf', [status(esa)], [associativity_addition_1])).
% 7.51/1.73 thf(zip_derived_cl45, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.51/1.73 ( (sum @ a @ X1 @ X0)
% 7.51/1.73 | ~ (sum @ additive_identity @ X2 @ X1)
% 7.51/1.73 | ~ (sum @ b @ X2 @ X0))),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 7.51/1.73 thf(zip_derived_cl620, plain,
% 7.51/1.73 (![X0 : $i]: ( (sum @ a @ d @ X0) | ~ (sum @ b @ d @ X0))),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl288, zip_derived_cl45])).
% 7.51/1.73 thf(zip_derived_cl2873, plain,
% 7.51/1.73 ((~ (defined @ d) | ~ (defined @ b) | (sum @ a @ d @ (add @ d @ b)))),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl620])).
% 7.51/1.73 thf(d_is_defined, axiom, (defined @ d)).
% 7.51/1.73 thf(zip_derived_cl29, plain, ( (defined @ d)),
% 7.51/1.73 inference('cnf', [status(esa)], [d_is_defined])).
% 7.51/1.73 thf(b_is_defined, axiom, (defined @ b)).
% 7.51/1.73 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 7.51/1.73 inference('cnf', [status(esa)], [b_is_defined])).
% 7.51/1.73 thf(zip_derived_cl2875, plain, ( (sum @ a @ d @ (add @ d @ b))),
% 7.51/1.73 inference('demod', [status(thm)],
% 7.51/1.73 [zip_derived_cl2873, zip_derived_cl29, zip_derived_cl27])).
% 7.51/1.73 thf(zip_derived_cl288, plain, ( (sum @ additive_identity @ d @ d)),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl20])).
% 7.51/1.73 thf(zip_derived_cl42, plain, ( (sum @ a @ additive_identity @ b)),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl4])).
% 7.51/1.73 thf(associativity_addition_2, axiom,
% 7.51/1.73 (( sum @ U @ Z @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 7.51/1.73 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ X @ V @ W ) ))).
% 7.51/1.73 thf(zip_derived_cl1, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.51/1.73 ( (sum @ X0 @ X1 @ X2)
% 7.51/1.73 | ~ (sum @ X3 @ X4 @ X0)
% 7.51/1.73 | ~ (sum @ X4 @ X1 @ X5)
% 7.51/1.73 | ~ (sum @ X3 @ X5 @ X2))),
% 7.51/1.73 inference('cnf', [status(esa)], [associativity_addition_2])).
% 7.51/1.73 thf(zip_derived_cl46, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.51/1.73 ( (sum @ b @ X1 @ X0)
% 7.51/1.73 | ~ (sum @ additive_identity @ X1 @ X2)
% 7.51/1.73 | ~ (sum @ a @ X2 @ X0))),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl1])).
% 7.51/1.73 thf(zip_derived_cl683, plain,
% 7.51/1.73 (![X0 : $i]: ( (sum @ b @ d @ X0) | ~ (sum @ a @ d @ X0))),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl288, zip_derived_cl46])).
% 7.51/1.73 thf(zip_derived_cl3256, plain, ( (sum @ b @ d @ (add @ d @ b))),
% 7.51/1.73 inference('s_sup-', [status(thm)],
% 7.51/1.73 [zip_derived_cl2875, zip_derived_cl683])).
% 7.51/1.73 thf(existence_of_identity_addition, axiom,
% 7.51/1.73 (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 7.51/1.73 thf(zip_derived_cl2, plain,
% 7.51/1.73 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 7.51/1.73 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 7.51/1.73 thf(zip_derived_cl31, plain, ( (sum @ additive_identity @ c @ d)),
% 7.51/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.51/1.73 thf(zip_derived_cl2, plain,
% 7.51/1.73 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 7.51/1.73 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 7.51/1.73 thf(zip_derived_cl0, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.51/1.73 ( (sum @ X0 @ X1 @ X2)
% 7.51/1.73 | ~ (sum @ X0 @ X3 @ X4)
% 7.51/1.73 | ~ (sum @ X3 @ X5 @ X1)
% 7.51/1.73 | ~ (sum @ X4 @ X5 @ X2))),
% 7.51/1.73 inference('cnf', [status(esa)], [associativity_addition_1])).
% 7.51/1.73 thf(zip_derived_cl35, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.51/1.73 (~ (defined @ X0)
% 7.51/1.73 | (sum @ additive_identity @ X2 @ X1)
% 7.51/1.73 | ~ (sum @ X0 @ X3 @ X2)
% 7.51/1.73 | ~ (sum @ X0 @ X3 @ X1))),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 7.51/1.73 thf(zip_derived_cl315, plain,
% 7.51/1.73 (![X0 : $i]:
% 7.51/1.73 (~ (defined @ additive_identity)
% 7.51/1.73 | (sum @ additive_identity @ d @ X0)
% 7.51/1.73 | ~ (sum @ additive_identity @ c @ X0))),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl35])).
% 7.51/1.73 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 7.51/1.73 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 7.51/1.73 thf(zip_derived_cl335, plain,
% 7.51/1.73 (![X0 : $i]:
% 7.51/1.73 ( (sum @ additive_identity @ d @ X0)
% 7.51/1.73 | ~ (sum @ additive_identity @ c @ X0))),
% 7.51/1.73 inference('demod', [status(thm)], [zip_derived_cl315, zip_derived_cl13])).
% 7.51/1.73 thf(zip_derived_cl742, plain,
% 7.51/1.73 ((~ (defined @ c) | (sum @ additive_identity @ d @ c))),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl335])).
% 7.51/1.73 thf(c_is_defined, axiom, (defined @ c)).
% 7.51/1.73 thf(zip_derived_cl28, plain, ( (defined @ c)),
% 7.51/1.73 inference('cnf', [status(esa)], [c_is_defined])).
% 7.51/1.73 thf(zip_derived_cl746, plain, ( (sum @ additive_identity @ d @ c)),
% 7.51/1.73 inference('demod', [status(thm)], [zip_derived_cl742, zip_derived_cl28])).
% 7.51/1.73 thf(zip_derived_cl45, plain,
% 7.51/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.51/1.73 ( (sum @ a @ X1 @ X0)
% 7.51/1.73 | ~ (sum @ additive_identity @ X2 @ X1)
% 7.51/1.73 | ~ (sum @ b @ X2 @ X0))),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 7.51/1.73 thf(zip_derived_cl776, plain,
% 7.51/1.73 (![X0 : $i]: ( (sum @ a @ c @ X0) | ~ (sum @ b @ d @ X0))),
% 7.51/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl746, zip_derived_cl45])).
% 7.51/1.73 thf(zip_derived_cl3641, plain, ( (sum @ a @ c @ (add @ d @ b))),
% 7.51/1.73 inference('s_sup-', [status(thm)],
% 7.51/1.73 [zip_derived_cl3256, zip_derived_cl776])).
% 7.51/1.73 thf(zip_derived_cl4529, plain, ($false),
% 7.51/1.73 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl3641])).
% 7.51/1.73
% 7.51/1.73 % SZS output end Refutation
% 7.51/1.73
% 7.51/1.73
% 7.51/1.73 % Terminating...
% 7.93/1.83 % Runner terminated.
% 7.93/1.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------