TSTP Solution File: SET009-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.l8k7CpPkNG true
% Computer : n026.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 16:11:37 EDT 2023
% Result : Unsatisfiable 0.23s 0.76s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.l8k7CpPkNG true
% 0.18/0.36 % Computer : n026.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Sat Aug 26 11:42:33 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % Running portfolio for 300 s
% 0.18/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.37 % Python version: Python 3.6.8
% 0.18/0.37 % Running in FO mode
% 0.23/0.69 % Total configuration time : 435
% 0.23/0.69 % Estimated wc time : 1092
% 0.23/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.76 % Solved by fo/fo6_bce.sh.
% 0.23/0.76 % BCE start: 16
% 0.23/0.76 % BCE eliminated: 0
% 0.23/0.76 % PE start: 16
% 0.23/0.76 logic: neq
% 0.23/0.76 % PE eliminated: 3
% 0.23/0.76 % done 38 iterations in 0.023s
% 0.23/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.76 % SZS output start Refutation
% 0.23/0.76 thf(subset_type, type, subset: $i > $i > $o).
% 0.23/0.76 thf(difference_type, type, difference: $i > $i > $i > $o).
% 0.23/0.76 thf(b_type, type, b: $i).
% 0.23/0.76 thf(member_of_1_not_of_2_type, type, member_of_1_not_of_2: $i > $i > $i).
% 0.23/0.76 thf(bDd_type, type, bDd: $i).
% 0.23/0.76 thf(bDa_type, type, bDa: $i).
% 0.23/0.76 thf(a_type, type, a: $i).
% 0.23/0.76 thf(member_type, type, member: $i > $i > $o).
% 0.23/0.76 thf(d_type, type, d: $i).
% 0.23/0.76 thf(prove_bDa_is_a_subset_of_bDd, conjecture, (subset @ bDa @ bDd)).
% 0.23/0.76 thf(zf_stmt_0, negated_conjecture, (~( subset @ bDa @ bDd )),
% 0.23/0.76 inference('cnf.neg', [status(esa)], [prove_bDa_is_a_subset_of_bDd])).
% 0.23/0.76 thf(zip_derived_cl15, plain, (~ (subset @ bDa @ bDd)),
% 0.23/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.23/0.76 thf(subsets_axiom1, axiom,
% 0.23/0.76 (( subset @ Subset @ Superset ) |
% 0.23/0.76 ( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Subset ))).
% 0.23/0.76 thf(zip_derived_cl1, plain,
% 0.23/0.76 (![X0 : $i, X1 : $i]:
% 0.23/0.76 ( (subset @ X0 @ X1)
% 0.23/0.76 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 0.23/0.76 inference('cnf', [status(esa)], [subsets_axiom1])).
% 0.23/0.76 thf(zip_derived_cl1, plain,
% 0.23/0.76 (![X0 : $i, X1 : $i]:
% 0.23/0.76 ( (subset @ X0 @ X1)
% 0.23/0.76 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 0.23/0.76 inference('cnf', [status(esa)], [subsets_axiom1])).
% 0.23/0.76 thf(b_minus_a, axiom, (difference @ b @ a @ bDa)).
% 0.23/0.76 thf(zip_derived_cl13, plain, ( (difference @ b @ a @ bDa)),
% 0.23/0.76 inference('cnf', [status(esa)], [b_minus_a])).
% 0.23/0.76 thf(member_of_difference, axiom,
% 0.23/0.76 (( ~( difference @ Set1 @ Set2 @ Difference ) ) |
% 0.23/0.76 ( ~( member @ Element @ Difference ) ) | ( member @ Element @ Set1 ))).
% 0.23/0.76 thf(zip_derived_cl6, plain,
% 0.23/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.23/0.76 (~ (difference @ X0 @ X1 @ X2)
% 0.23/0.76 | ~ (member @ X3 @ X2)
% 0.23/0.76 | (member @ X3 @ X0))),
% 0.23/0.76 inference('cnf', [status(esa)], [member_of_difference])).
% 0.23/0.76 thf(zip_derived_cl46, plain,
% 0.23/0.76 (![X0 : $i]: (~ (member @ X0 @ bDa) | (member @ X0 @ b))),
% 0.23/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl6])).
% 0.23/0.76 thf(zip_derived_cl69, plain,
% 0.23/0.76 (![X0 : $i]:
% 0.23/0.76 ( (subset @ bDa @ X0)
% 0.23/0.76 | (member @ (member_of_1_not_of_2 @ bDa @ X0) @ b))),
% 0.23/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl46])).
% 0.23/0.76 thf(b_minus_d, axiom, (difference @ b @ d @ bDd)).
% 0.23/0.76 thf(zip_derived_cl14, plain, ( (difference @ b @ d @ bDd)),
% 0.23/0.76 inference('cnf', [status(esa)], [b_minus_d])).
% 0.23/0.76 thf(member_of_difference_or_set2, axiom,
% 0.23/0.76 (( ~( member @ Element @ Set1 ) ) |
% 0.23/0.76 ( ~( difference @ Set1 @ Set2 @ Difference ) ) |
% 0.23/0.76 ( member @ Element @ Difference ) | ( member @ Element @ Set2 ))).
% 0.23/0.76 thf(zip_derived_cl8, plain,
% 0.23/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.23/0.76 (~ (member @ X0 @ X1)
% 0.23/0.76 | ~ (difference @ X1 @ X2 @ X3)
% 0.23/0.76 | (member @ X0 @ X3)
% 0.23/0.76 | (member @ X0 @ X2))),
% 0.23/0.76 inference('cnf', [status(esa)], [member_of_difference_or_set2])).
% 0.23/0.76 thf(zip_derived_cl54, plain,
% 0.23/0.76 (![X0 : $i]:
% 0.23/0.76 (~ (member @ X0 @ b) | (member @ X0 @ bDd) | (member @ X0 @ d))),
% 0.23/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl8])).
% 0.23/0.76 thf(subsets_axiom2, axiom,
% 0.23/0.76 (( ~( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Superset ) ) |
% 0.23/0.76 ( subset @ Subset @ Superset ))).
% 0.23/0.76 thf(zip_derived_cl2, plain,
% 0.23/0.76 (![X0 : $i, X1 : $i]:
% 0.23/0.76 (~ (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X1)
% 0.23/0.76 | (subset @ X0 @ X1))),
% 0.23/0.76 inference('cnf', [status(esa)], [subsets_axiom2])).
% 0.23/0.76 thf(zip_derived_cl89, plain,
% 0.23/0.76 (![X0 : $i]:
% 0.23/0.76 ( (member @ (member_of_1_not_of_2 @ X0 @ bDd) @ d)
% 0.23/0.76 | ~ (member @ (member_of_1_not_of_2 @ X0 @ bDd) @ b)
% 0.23/0.76 | (subset @ X0 @ bDd))),
% 0.23/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl2])).
% 0.23/0.76 thf(zip_derived_cl100, plain,
% 0.23/0.76 (( (subset @ bDa @ bDd)
% 0.23/0.76 | (member @ (member_of_1_not_of_2 @ bDa @ bDd) @ d)
% 0.23/0.76 | (subset @ bDa @ bDd))),
% 0.23/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl89])).
% 0.23/0.76 thf(zip_derived_cl15, plain, (~ (subset @ bDa @ bDd)),
% 0.23/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.23/0.76 thf(zip_derived_cl15, plain, (~ (subset @ bDa @ bDd)),
% 0.23/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.23/0.76 thf(zip_derived_cl103, plain,
% 0.23/0.76 ( (member @ (member_of_1_not_of_2 @ bDa @ bDd) @ d)),
% 0.23/0.76 inference('demod', [status(thm)],
% 0.23/0.76 [zip_derived_cl100, zip_derived_cl15, zip_derived_cl15])).
% 0.23/0.76 thf(d_is_a_subset_of_a, axiom, (subset @ d @ a)).
% 0.23/0.76 thf(zip_derived_cl12, plain, ( (subset @ d @ a)),
% 0.23/0.76 inference('cnf', [status(esa)], [d_is_a_subset_of_a])).
% 0.23/0.76 thf(membership_in_subsets, axiom,
% 0.23/0.76 (( ~( member @ Element @ Subset ) ) |
% 0.23/0.76 ( ~( subset @ Subset @ Superset ) ) | ( member @ Element @ Superset ))).
% 0.23/0.76 thf(zip_derived_cl0, plain,
% 0.23/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.23/0.76 (~ (member @ X0 @ X1) | ~ (subset @ X1 @ X2) | (member @ X0 @ X2))),
% 0.23/0.76 inference('cnf', [status(esa)], [membership_in_subsets])).
% 0.23/0.76 thf(zip_derived_cl38, plain,
% 0.23/0.76 (![X0 : $i]: (~ (member @ X0 @ d) | (member @ X0 @ a))),
% 0.23/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 0.23/0.76 thf(zip_derived_cl13, plain, ( (difference @ b @ a @ bDa)),
% 0.23/0.76 inference('cnf', [status(esa)], [b_minus_a])).
% 0.23/0.76 thf(not_member_of_difference, axiom,
% 0.23/0.76 (( ~( member @ Element @ Set1 ) ) | ( ~( member @ Element @ Set2 ) ) |
% 0.23/0.76 ( ~( difference @ A_set @ Set1 @ Set2 ) ))).
% 0.23/0.76 thf(zip_derived_cl7, plain,
% 0.23/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.23/0.76 (~ (member @ X0 @ X1)
% 0.23/0.76 | ~ (member @ X0 @ X2)
% 0.23/0.76 | ~ (difference @ X3 @ X1 @ X2))),
% 0.23/0.76 inference('cnf', [status(esa)], [not_member_of_difference])).
% 0.23/0.76 thf(zip_derived_cl48, plain,
% 0.23/0.76 (![X0 : $i]: (~ (member @ X0 @ a) | ~ (member @ X0 @ bDa))),
% 0.23/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl7])).
% 0.23/0.76 thf(zip_derived_cl50, plain,
% 0.23/0.76 (![X0 : $i]: (~ (member @ X0 @ d) | ~ (member @ X0 @ bDa))),
% 0.23/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl48])).
% 0.23/0.76 thf(zip_derived_cl107, plain,
% 0.23/0.76 (~ (member @ (member_of_1_not_of_2 @ bDa @ bDd) @ bDa)),
% 0.23/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl50])).
% 0.23/0.76 thf(zip_derived_cl111, plain, ( (subset @ bDa @ bDd)),
% 0.23/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl107])).
% 0.23/0.76 thf(zip_derived_cl121, plain, ($false),
% 0.23/0.76 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl111])).
% 0.23/0.76
% 0.23/0.76 % SZS output end Refutation
% 0.23/0.76
% 0.23/0.76
% 0.23/0.77 % Terminating...
% 1.45/0.88 % Runner terminated.
% 1.59/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------