%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET015-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n023.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 03:31:06 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_commutativity)
% Comments :
%------------------------------------------------------------------------------
cnf(21,plain,
~ equal_sets(union(as,bs),union(bs,as)),
inference(cnf,[status(esa)],[prove_commutativity]) ).
cnf(l0,plain,
~ equal_sets(union(as,bs),union(bs,as)),
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(union(bs,as),union(as,bs))
| ~ subset(union(as,bs),union(bs,as))
| equal_sets(union(as,bs),union(bs,as)) ),
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(union(bs,as),union(as,bs)),union(as,bs))
| subset(union(bs,as),union(as,bs)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(6,plain,
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf,[status(esa)],[member_of_set1_is_member_of_union]) ).
cnf(l4,plain,
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),as)
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(as,bs)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subsets_axiom1]) ).
cnf(l3,plain,
( member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(as,bs))
| subset(union(as,bs),union(bs,as)) ),
inference(instantiation,[status(thm)],[2]) ).
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(l7,plain,
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(bs,as))
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),bs)
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),as) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l15,plain,
( member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(bs,as))
| subset(union(bs,as),union(as,bs)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l5,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(as,bs))
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),as)
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),bs) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(7,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf,[status(esa)],[member_of_set2_is_member_of_union]) ).
cnf(l16,plain,
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),bs)
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(as,bs)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l10,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),as)
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(bs,as)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l31,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),bs)
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(bs,as)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l33,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(bs,as))
| subset(union(as,bs),union(bs,as)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l11,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(bs,as))
| subset(union(as,bs),union(bs,as)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l3,l7,l15,l5,l16,l10,l31,l33,l11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET015-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 19:14:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.12/0.35 % launching worker at depth: 12
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------