TSTP Solution File: NUM027-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM027-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HM7lV3w8u4 true
% Computer : n029.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 : Thu Aug 31 12:39:02 EDT 2023
% Result : Unsatisfiable 0.18s 0.69s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM027-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HM7lV3w8u4 true
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Aug 25 13:00:39 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.18/0.58 % Total configuration time : 435
% 0.18/0.58 % Estimated wc time : 1092
% 0.18/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.64 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.66 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.69 % Solved by fo/fo6_bce.sh.
% 0.18/0.69 % BCE start: 21
% 0.18/0.69 % BCE eliminated: 0
% 0.18/0.69 % PE start: 21
% 0.18/0.69 logic: neq
% 0.18/0.69 % PE eliminated: 0
% 0.18/0.69 % done 67 iterations in 0.029s
% 0.18/0.69 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.18/0.69 % SZS output start Refutation
% 0.18/0.69 thf(c_type, type, c: $i).
% 0.18/0.69 thf(a_type, type, a: $i).
% 0.18/0.69 thf(n0_type, type, n0: $i).
% 0.18/0.69 thf(b_type, type, b: $i).
% 0.18/0.69 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.18/0.69 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.18/0.69 thf(less_type, type, less: $i > $i > $o).
% 0.18/0.69 thf(b_not_less_than_a, axiom, (~( less @ b @ a ))).
% 0.18/0.69 thf(zip_derived_cl18, plain, (~ (less @ b @ a)),
% 0.18/0.69 inference('cnf', [status(esa)], [b_not_less_than_a])).
% 0.18/0.69 thf(numbers_either_less_or_equal, axiom,
% 0.18/0.69 (( less @ A @ B ) | ( equalish @ B @ A ) | ( less @ B @ A ))).
% 0.18/0.69 thf(zip_derived_cl14, plain,
% 0.18/0.69 (![X0 : $i, X1 : $i]:
% 0.18/0.69 ( (less @ X0 @ X1) | (equalish @ X1 @ X0) | (less @ X1 @ X0))),
% 0.18/0.69 inference('cnf', [status(esa)], [numbers_either_less_or_equal])).
% 0.18/0.69 thf(multiply_lemma, axiom,
% 0.18/0.69 (( ~( less @ A @ B ) ) | ( equalish @ C @ n0 ) |
% 0.18/0.69 ( less @ ( multiply @ A @ C ) @ ( multiply @ B @ C ) ))).
% 0.18/0.69 thf(zip_derived_cl17, plain,
% 0.18/0.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.18/0.69 (~ (less @ X0 @ X1)
% 0.18/0.69 | (equalish @ X2 @ n0)
% 0.18/0.69 | (less @ (multiply @ X0 @ X2) @ (multiply @ X1 @ X2)))),
% 0.18/0.69 inference('cnf', [status(esa)], [multiply_lemma])).
% 0.18/0.69 thf(b_times_c_less_than_a_times_c, axiom,
% 0.18/0.69 (less @ ( multiply @ b @ c ) @ ( multiply @ a @ c ))).
% 0.18/0.69 thf(zip_derived_cl19, plain,
% 0.18/0.69 ( (less @ (multiply @ b @ c) @ (multiply @ a @ c))),
% 0.18/0.69 inference('cnf', [status(esa)], [b_times_c_less_than_a_times_c])).
% 0.18/0.69 thf(transitivity_of_less, axiom,
% 0.18/0.69 (( ~( less @ A @ B ) ) | ( ~( less @ C @ A ) ) | ( less @ C @ B ))).
% 0.18/0.69 thf(zip_derived_cl6, plain,
% 0.18/0.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.18/0.69 (~ (less @ X0 @ X1) | ~ (less @ X2 @ X0) | (less @ X2 @ X1))),
% 0.18/0.69 inference('cnf', [status(esa)], [transitivity_of_less])).
% 0.18/0.69 thf(zip_derived_cl34, plain,
% 0.18/0.69 (![X0 : $i]:
% 0.18/0.69 (~ (less @ X0 @ (multiply @ b @ c))
% 0.18/0.69 | (less @ X0 @ (multiply @ a @ c)))),
% 0.18/0.69 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl6])).
% 0.18/0.69 thf(number_not_less_than_itself, axiom, (~( less @ A @ A ))).
% 0.18/0.69 thf(zip_derived_cl15, plain, (![X0 : $i]: ~ (less @ X0 @ X0)),
% 0.18/0.69 inference('cnf', [status(esa)], [number_not_less_than_itself])).
% 0.18/0.69 thf(zip_derived_cl130, plain,
% 0.18/0.69 (~ (less @ (multiply @ a @ c) @ (multiply @ b @ c))),
% 0.18/0.69 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl15])).
% 0.18/0.69 thf(zip_derived_cl143, plain, (( (equalish @ c @ n0) | ~ (less @ a @ b))),
% 0.18/0.69 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl130])).
% 0.18/0.69 thf(prove_c_is_0, conjecture, (equalish @ c @ n0)).
% 0.18/0.69 thf(zf_stmt_0, negated_conjecture, (~( equalish @ c @ n0 )),
% 0.18/0.69 inference('cnf.neg', [status(esa)], [prove_c_is_0])).
% 0.18/0.69 thf(zip_derived_cl20, plain, (~ (equalish @ c @ n0)),
% 0.18/0.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.18/0.69 thf(zip_derived_cl145, plain, (~ (less @ a @ b)),
% 0.18/0.69 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl20])).
% 0.18/0.69 thf(zip_derived_cl150, plain, (( (less @ b @ a) | (equalish @ b @ a))),
% 0.18/0.69 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl145])).
% 0.18/0.69 thf(equality_preserved_over_times, axiom,
% 0.18/0.69 (( ~( equalish @ A @ B ) ) |
% 0.18/0.69 ( equalish @ ( multiply @ A @ C ) @ ( multiply @ B @ C ) ))).
% 0.18/0.69 thf(zip_derived_cl12, plain,
% 0.18/0.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.18/0.69 (~ (equalish @ X0 @ X1)
% 0.18/0.69 | (equalish @ (multiply @ X0 @ X2) @ (multiply @ X1 @ X2)))),
% 0.18/0.69 inference('cnf', [status(esa)], [equality_preserved_over_times])).
% 0.18/0.69 thf(zip_derived_cl19, plain,
% 0.18/0.69 ( (less @ (multiply @ b @ c) @ (multiply @ a @ c))),
% 0.18/0.69 inference('cnf', [status(esa)], [b_times_c_less_than_a_times_c])).
% 0.18/0.69 thf(not_less_and_equal, axiom,
% 0.18/0.69 (( ~( less @ A @ B ) ) | ( ~( equalish @ A @ B ) ))).
% 0.18/0.69 thf(zip_derived_cl13, plain,
% 0.18/0.69 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (equalish @ X0 @ X1))),
% 0.18/0.69 inference('cnf', [status(esa)], [not_less_and_equal])).
% 0.18/0.69 thf(zip_derived_cl27, plain,
% 0.18/0.69 (~ (equalish @ (multiply @ b @ c) @ (multiply @ a @ c))),
% 0.18/0.69 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl13])).
% 0.18/0.69 thf(zip_derived_cl58, plain, (~ (equalish @ b @ a)),
% 0.18/0.69 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl27])).
% 0.18/0.69 thf(zip_derived_cl152, plain, ( (less @ b @ a)),
% 0.18/0.69 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl58])).
% 0.18/0.69 thf(zip_derived_cl155, plain, ($false),
% 0.18/0.69 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl152])).
% 0.18/0.69
% 0.18/0.69 % SZS output end Refutation
% 0.18/0.69
% 0.18/0.69
% 0.18/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.69 % Terminating...
% 0.18/0.79 % Runner terminated.
% 0.18/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------