TSTP Solution File: FLD025-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD025-2 : 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.itb1bu0iI5 true
% Computer : n017.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 22:39:14 EDT 2023
% Result : Unsatisfiable 1.37s 0.88s
% Output : Refutation 1.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : FLD025-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.itb1bu0iI5 true
% 0.16/0.36 % Computer : n017.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Aug 28 00:11:42 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % Running portfolio for 300 s
% 0.16/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 1.18/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.18/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.18/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.18/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.18/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.18/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.18/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.88 % Solved by fo/fo6_bce.sh.
% 1.37/0.88 % BCE start: 38
% 1.37/0.88 % BCE eliminated: 0
% 1.37/0.88 % PE start: 38
% 1.37/0.88 logic: neq
% 1.37/0.88 % PE eliminated: 0
% 1.37/0.88 % done 216 iterations in 0.111s
% 1.37/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/0.88 % SZS output start Refutation
% 1.37/0.88 thf(defined_type, type, defined: $i > $o).
% 1.37/0.88 thf(d_type, type, d: $i).
% 1.37/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.37/0.88 thf(v_type, type, v: $i).
% 1.37/0.88 thf(u_type, type, u: $i).
% 1.37/0.88 thf(b_type, type, b: $i).
% 1.37/0.88 thf(c_type, type, c: $i).
% 1.37/0.88 thf(equalish_type, type, equalish: $i > $i > $o).
% 1.37/0.88 thf(a_type, type, a: $i).
% 1.37/0.88 thf(v_not_equal_to_u_11, conjecture, (equalish @ v @ u)).
% 1.37/0.88 thf(zf_stmt_0, negated_conjecture, (~( equalish @ v @ u )),
% 1.37/0.88 inference('cnf.neg', [status(esa)], [v_not_equal_to_u_11])).
% 1.37/0.88 thf(zip_derived_cl37, plain, (~ (equalish @ v @ u)),
% 1.37/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.88 thf(compatibility_of_equality_and_multiplication, axiom,
% 1.37/0.88 (( equalish @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ) |
% 1.37/0.88 ( ~( defined @ Z ) ) | ( ~( equalish @ X @ Y ) ))).
% 1.37/0.88 thf(zip_derived_cl24, plain,
% 1.37/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.88 ( (equalish @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1))
% 1.37/0.88 | ~ (defined @ X1)
% 1.37/0.88 | ~ (equalish @ X0 @ X2))),
% 1.37/0.88 inference('cnf', [status(esa)],
% 1.37/0.88 [compatibility_of_equality_and_multiplication])).
% 1.37/0.88 thf(multiply_equals_v_10, conjecture,
% 1.37/0.88 (~( equalish @ ( multiply @ d @ b ) @ v ))).
% 1.37/0.88 thf(zf_stmt_1, negated_conjecture, (equalish @ ( multiply @ d @ b ) @ v),
% 1.37/0.88 inference('cnf.neg', [status(esa)], [multiply_equals_v_10])).
% 1.37/0.88 thf(zip_derived_cl36, plain, ( (equalish @ (multiply @ d @ b) @ v)),
% 1.37/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.37/0.88 thf(symmetry_of_equality, axiom,
% 1.37/0.88 (( equalish @ X @ Y ) | ( ~( equalish @ Y @ X ) ))).
% 1.37/0.88 thf(zip_derived_cl21, plain,
% 1.37/0.88 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 1.37/0.88 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 1.37/0.88 thf(zip_derived_cl45, plain, ( (equalish @ v @ (multiply @ d @ b))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl21])).
% 1.37/0.88 thf(transitivity_of_equality, axiom,
% 1.37/0.88 (( equalish @ X @ Z ) | ( ~( equalish @ X @ Y ) ) |
% 1.37/0.88 ( ~( equalish @ Y @ Z ) ))).
% 1.37/0.88 thf(zip_derived_cl22, plain,
% 1.37/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.88 ( (equalish @ X0 @ X1)
% 1.37/0.88 | ~ (equalish @ X0 @ X2)
% 1.37/0.88 | ~ (equalish @ X2 @ X1))),
% 1.37/0.88 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 1.37/0.88 thf(zip_derived_cl72, plain,
% 1.37/0.88 (![X0 : $i]:
% 1.37/0.88 ( (equalish @ v @ X0) | ~ (equalish @ (multiply @ d @ b) @ X0))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl22])).
% 1.37/0.88 thf(zip_derived_cl189, plain,
% 1.37/0.88 (![X0 : $i]:
% 1.37/0.88 (~ (equalish @ d @ X0)
% 1.37/0.88 | ~ (defined @ b)
% 1.37/0.88 | (equalish @ v @ (multiply @ X0 @ b)))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl72])).
% 1.37/0.88 thf(b_is_defined, axiom, (defined @ b)).
% 1.37/0.88 thf(zip_derived_cl28, plain, ( (defined @ b)),
% 1.37/0.88 inference('cnf', [status(esa)], [b_is_defined])).
% 1.37/0.88 thf(zip_derived_cl193, plain,
% 1.37/0.88 (![X0 : $i]:
% 1.37/0.88 (~ (equalish @ d @ X0) | (equalish @ v @ (multiply @ X0 @ b)))),
% 1.37/0.88 inference('demod', [status(thm)], [zip_derived_cl189, zip_derived_cl28])).
% 1.37/0.88 thf(zip_derived_cl36, plain, ( (equalish @ (multiply @ d @ b) @ v)),
% 1.37/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.37/0.88 thf(zip_derived_cl22, plain,
% 1.37/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.88 ( (equalish @ X0 @ X1)
% 1.37/0.88 | ~ (equalish @ X0 @ X2)
% 1.37/0.88 | ~ (equalish @ X2 @ X1))),
% 1.37/0.88 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 1.37/0.88 thf(zip_derived_cl66, plain,
% 1.37/0.88 (![X0 : $i]:
% 1.37/0.88 ( (equalish @ (multiply @ d @ b) @ X0) | ~ (equalish @ v @ X0))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl22])).
% 1.37/0.88 thf(zip_derived_cl21, plain,
% 1.37/0.88 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 1.37/0.88 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 1.37/0.88 thf(zip_derived_cl77, plain,
% 1.37/0.88 (![X0 : $i]:
% 1.37/0.88 (~ (equalish @ v @ X0) | (equalish @ X0 @ (multiply @ d @ b)))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl21])).
% 1.37/0.88 thf(commutativity_multiplication, axiom,
% 1.37/0.88 (( equalish @ ( multiply @ X @ Y ) @ ( multiply @ Y @ X ) ) |
% 1.37/0.88 ( ~( defined @ X ) ) | ( ~( defined @ Y ) ))).
% 1.37/0.88 thf(zip_derived_cl7, plain,
% 1.37/0.88 (![X0 : $i, X1 : $i]:
% 1.37/0.88 ( (equalish @ (multiply @ X0 @ X1) @ (multiply @ X1 @ X0))
% 1.37/0.88 | ~ (defined @ X0)
% 1.37/0.88 | ~ (defined @ X1))),
% 1.37/0.88 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 1.37/0.88 thf(a_equals_b_7, conjecture, (~( equalish @ a @ b ))).
% 1.37/0.88 thf(zf_stmt_2, negated_conjecture, (equalish @ a @ b),
% 1.37/0.88 inference('cnf.neg', [status(esa)], [a_equals_b_7])).
% 1.37/0.88 thf(zip_derived_cl33, plain, ( (equalish @ a @ b)),
% 1.37/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.37/0.88 thf(zip_derived_cl24, plain,
% 1.37/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.88 ( (equalish @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1))
% 1.37/0.88 | ~ (defined @ X1)
% 1.37/0.88 | ~ (equalish @ X0 @ X2))),
% 1.37/0.88 inference('cnf', [status(esa)],
% 1.37/0.88 [compatibility_of_equality_and_multiplication])).
% 1.37/0.88 thf(multiply_equals_u_9, conjecture,
% 1.37/0.88 (~( equalish @ ( multiply @ a @ c ) @ u ))).
% 1.37/0.88 thf(zf_stmt_3, negated_conjecture, (equalish @ ( multiply @ a @ c ) @ u),
% 1.37/0.88 inference('cnf.neg', [status(esa)], [multiply_equals_u_9])).
% 1.37/0.88 thf(zip_derived_cl35, plain, ( (equalish @ (multiply @ a @ c) @ u)),
% 1.37/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.37/0.88 thf(zip_derived_cl21, plain,
% 1.37/0.88 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 1.37/0.88 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 1.37/0.88 thf(zip_derived_cl44, plain, ( (equalish @ u @ (multiply @ a @ c))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl21])).
% 1.37/0.88 thf(zip_derived_cl22, plain,
% 1.37/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.88 ( (equalish @ X0 @ X1)
% 1.37/0.88 | ~ (equalish @ X0 @ X2)
% 1.37/0.88 | ~ (equalish @ X2 @ X1))),
% 1.37/0.88 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 1.37/0.88 thf(zip_derived_cl71, plain,
% 1.37/0.88 (![X0 : $i]:
% 1.37/0.88 ( (equalish @ u @ X0) | ~ (equalish @ (multiply @ a @ c) @ X0))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl22])).
% 1.37/0.88 thf(zip_derived_cl186, plain,
% 1.37/0.88 (![X0 : $i]:
% 1.37/0.88 (~ (equalish @ a @ X0)
% 1.37/0.88 | ~ (defined @ c)
% 1.37/0.88 | (equalish @ u @ (multiply @ X0 @ c)))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl71])).
% 1.37/0.88 thf(c_is_defined, axiom, (defined @ c)).
% 1.37/0.88 thf(zip_derived_cl29, plain, ( (defined @ c)),
% 1.37/0.88 inference('cnf', [status(esa)], [c_is_defined])).
% 1.37/0.88 thf(zip_derived_cl190, plain,
% 1.37/0.88 (![X0 : $i]:
% 1.37/0.88 (~ (equalish @ a @ X0) | (equalish @ u @ (multiply @ X0 @ c)))),
% 1.37/0.88 inference('demod', [status(thm)], [zip_derived_cl186, zip_derived_cl29])).
% 1.37/0.88 thf(zip_derived_cl22, plain,
% 1.37/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.88 ( (equalish @ X0 @ X1)
% 1.37/0.88 | ~ (equalish @ X0 @ X2)
% 1.37/0.88 | ~ (equalish @ X2 @ X1))),
% 1.37/0.88 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 1.37/0.88 thf(zip_derived_cl385, plain,
% 1.37/0.88 (![X0 : $i, X1 : $i]:
% 1.37/0.88 (~ (equalish @ a @ X0)
% 1.37/0.88 | (equalish @ u @ X1)
% 1.37/0.88 | ~ (equalish @ (multiply @ X0 @ c) @ X1))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl190, zip_derived_cl22])).
% 1.37/0.88 thf(zip_derived_cl492, plain,
% 1.37/0.88 (![X0 : $i]:
% 1.37/0.88 ( (equalish @ u @ X0) | ~ (equalish @ (multiply @ b @ c) @ X0))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl385])).
% 1.37/0.88 thf(zip_derived_cl507, plain,
% 1.37/0.88 ((~ (defined @ c)
% 1.37/0.88 | ~ (defined @ b)
% 1.37/0.88 | (equalish @ u @ (multiply @ c @ b)))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl492])).
% 1.37/0.88 thf(zip_derived_cl29, plain, ( (defined @ c)),
% 1.37/0.88 inference('cnf', [status(esa)], [c_is_defined])).
% 1.37/0.88 thf(zip_derived_cl28, plain, ( (defined @ b)),
% 1.37/0.88 inference('cnf', [status(esa)], [b_is_defined])).
% 1.37/0.88 thf(zip_derived_cl510, plain, ( (equalish @ u @ (multiply @ c @ b))),
% 1.37/0.88 inference('demod', [status(thm)],
% 1.37/0.88 [zip_derived_cl507, zip_derived_cl29, zip_derived_cl28])).
% 1.37/0.88 thf(zip_derived_cl22, plain,
% 1.37/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.88 ( (equalish @ X0 @ X1)
% 1.37/0.88 | ~ (equalish @ X0 @ X2)
% 1.37/0.88 | ~ (equalish @ X2 @ X1))),
% 1.37/0.88 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 1.37/0.88 thf(zip_derived_cl514, plain,
% 1.37/0.88 (![X0 : $i]:
% 1.37/0.88 ( (equalish @ u @ X0) | ~ (equalish @ (multiply @ c @ b) @ X0))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl510, zip_derived_cl22])).
% 1.37/0.88 thf(zip_derived_cl656, plain,
% 1.37/0.88 ((~ (equalish @ v @ (multiply @ c @ b))
% 1.37/0.88 | (equalish @ u @ (multiply @ d @ b)))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl514])).
% 1.37/0.88 thf(zip_derived_cl670, plain,
% 1.37/0.88 ((~ (equalish @ d @ c) | (equalish @ u @ (multiply @ d @ b)))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl656])).
% 1.37/0.88 thf(c_equals_d_8, conjecture, (~( equalish @ c @ d ))).
% 1.37/0.88 thf(zf_stmt_4, negated_conjecture, (equalish @ c @ d),
% 1.37/0.88 inference('cnf.neg', [status(esa)], [c_equals_d_8])).
% 1.37/0.88 thf(zip_derived_cl34, plain, ( (equalish @ c @ d)),
% 1.37/0.88 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.37/0.88 thf(zip_derived_cl21, plain,
% 1.37/0.88 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 1.37/0.88 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 1.37/0.88 thf(zip_derived_cl47, plain, ( (equalish @ d @ c)),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl21])).
% 1.37/0.88 thf(zip_derived_cl671, plain, ( (equalish @ u @ (multiply @ d @ b))),
% 1.37/0.88 inference('demod', [status(thm)], [zip_derived_cl670, zip_derived_cl47])).
% 1.37/0.88 thf(zip_derived_cl21, plain,
% 1.37/0.88 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 1.37/0.88 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 1.37/0.88 thf(zip_derived_cl672, plain, ( (equalish @ (multiply @ d @ b) @ u)),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl671, zip_derived_cl21])).
% 1.37/0.88 thf(zip_derived_cl72, plain,
% 1.37/0.88 (![X0 : $i]:
% 1.37/0.88 ( (equalish @ v @ X0) | ~ (equalish @ (multiply @ d @ b) @ X0))),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl22])).
% 1.37/0.88 thf(zip_derived_cl678, plain, ( (equalish @ v @ u)),
% 1.37/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl672, zip_derived_cl72])).
% 1.37/0.88 thf(zip_derived_cl684, plain, ($false),
% 1.37/0.88 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl678])).
% 1.37/0.88
% 1.37/0.88 % SZS output end Refutation
% 1.37/0.88
% 1.37/0.88
% 1.37/0.88 % Terminating...
% 1.61/0.97 % Runner terminated.
% 1.61/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------