%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET012-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.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 : Fri Jul 25 03:31:04 PM UTC 2025
% Result : Unsatisfiable 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_involution)
% Comments :
%------------------------------------------------------------------------------
cnf(21,plain,
~ equal_sets(complement(complement(a)),a),
inference(cnf,[status(esa)],[prove_involution]) ).
cnf(l0,plain,
~ equal_sets(complement(complement(a)),a),
inference(instantiation,[status(thm)],[21]) ).
cnf(14,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_sets(X1,X0) ),
inference(cnf,[status(esa)],[subsets_are_set_equal_sets]) ).
cnf(l1,plain,
( ~ subset(a,complement(complement(a)))
| ~ subset(complement(complement(a)),a)
| equal_sets(complement(complement(a)),a) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(3,plain,
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subsets_axiom2]) ).
cnf(l2,plain,
( ~ member(member_of_1_not_of_2(a,complement(complement(a))),complement(complement(a)))
| subset(a,complement(complement(a))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(8,plain,
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf,[status(esa)],[member_of_union_is_member_of_one_set]) ).
cnf(l4,plain,
( ~ member(member_of_1_not_of_2(a,complement(complement(a))),union(a,complement(complement(a))))
| member(member_of_1_not_of_2(a,complement(complement(a))),a)
| member(member_of_1_not_of_2(a,complement(complement(a))),complement(complement(a))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l3,plain,
( ~ member(member_of_1_not_of_2(complement(complement(a)),a),a)
| subset(complement(complement(a)),a) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(5,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[not_member_of_set_and_complement]) ).
cnf(l6,plain,
( ~ member(member_of_1_not_of_2(a,complement(complement(a))),a)
| ~ member(member_of_1_not_of_2(a,complement(complement(a))),complement(a)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
( member(X0,X1)
| member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[member_of_set_or_complement]) ).
cnf(l5,plain,
( member(member_of_1_not_of_2(complement(complement(a)),a),a)
| member(member_of_1_not_of_2(complement(complement(a)),a),complement(a)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(6,plain,
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf,[status(esa)],[member_of_set1_is_member_of_union]) ).
cnf(l7,plain,
( ~ member(member_of_1_not_of_2(a,complement(complement(a))),a)
| member(member_of_1_not_of_2(a,complement(complement(a))),union(a,complement(complement(a)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l10,plain,
( ~ member(member_of_1_not_of_2(complement(complement(a)),a),complement(a))
| ~ member(member_of_1_not_of_2(complement(complement(a)),a),complement(complement(a))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(2,plain,
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subsets_axiom1]) ).
cnf(l11,plain,
( member(member_of_1_not_of_2(complement(complement(a)),a),complement(complement(a)))
| subset(complement(complement(a)),a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l17,plain,
( member(member_of_1_not_of_2(a,complement(complement(a))),complement(a))
| member(member_of_1_not_of_2(a,complement(complement(a))),complement(complement(a))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l15,plain,
( member(member_of_1_not_of_2(a,complement(complement(a))),a)
| subset(a,complement(complement(a))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l3,l6,l5,l7,l10,l11,l17,l15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET012-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n024.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Jul 21 19:12:49 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 9
% 0.14/0.29 % launching worker at depth: 4
% 0.14/0.29 % launching worker at depth: 8
% 0.14/0.29 % launching worker at depth: 10
% 0.14/0.29 % launching worker at depth: 11
% 0.14/0.31 % launching worker at depth: 12
% 0.14/0.42 % SZS status Theorem for theBenchmark
% 0.14/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------