%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : TOP001-2 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Fri Jul 25 10:10:25 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named lemma_1a_2)
% Comments :
%------------------------------------------------------------------------------
cnf(12,plain,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
inference(cnf,[status(esa)],[lemma_1a_2]) ).
cnf(l0,plain,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
inference(instantiation,[status(thm)],[12]) ).
cnf(10,plain,
( ~ element_of_set(in_1st_set(X0,X1),X1)
| subset_sets(X0,X1) ),
inference(cnf,[status(esa)],[set_theory_5]) ).
cnf(l1,plain,
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),cx)
| subset_sets(union_of_members(top_of_basis(f)),cx) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(7,plain,
( ~ element_of_set(X0,X1)
| ~ subset_sets(X1,X2)
| element_of_set(X0,X2) ),
inference(cnf,[status(esa)],[set_theory_2]) ).
cnf(l18,plain,
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(f))
| ~ subset_sets(union_of_members(f),cx)
| element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),cx) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(8,plain,
( ~ equal_sets(X0,X1)
| subset_sets(X0,X1) ),
inference(cnf,[status(esa)],[set_theory_3]) ).
cnf(l19,plain,
( ~ equal_sets(union_of_members(f),cx)
| subset_sets(union_of_members(f),cx) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(3,plain,
( ~ basis(X0,X1)
| equal_sets(union_of_members(X1),X0) ),
inference(cnf,[status(esa)],[basis_for_topology_28]) ).
cnf(l20,plain,
( ~ basis(cx,f)
| equal_sets(union_of_members(f),cx) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(11,plain,
basis(cx,f),
inference(cnf,[status(esa)],[lemma_1a_1]) ).
cnf(l21,plain,
basis(cx,f),
inference(instantiation,[status(thm)],[11]) ).
cnf(2,plain,
( ~ element_of_set(X0,X1)
| ~ element_of_collection(X1,X2)
| element_of_set(X0,union_of_members(X2)) ),
inference(cnf,[status(esa)],[union_of_members_3]) ).
cnf(l22,plain,
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),f10(f,f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),in_1st_set(union_of_members(top_of_basis(f)),cx)))
| ~ element_of_collection(f10(f,f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),in_1st_set(union_of_members(top_of_basis(f)),cx)),f)
| element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(f)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(5,plain,
( ~ element_of_set(X0,X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| element_of_collection(f10(X2,X1,X0),X2) ),
inference(cnf,[status(esa)],[topology_generated_38]) ).
cnf(l23,plain,
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)))
| ~ element_of_collection(f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),top_of_basis(f))
| element_of_collection(f10(f,f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),in_1st_set(union_of_members(top_of_basis(f)),cx)),f) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
( ~ element_of_set(X0,X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| element_of_set(X0,f10(X2,X1,X0)) ),
inference(cnf,[status(esa)],[topology_generated_37]) ).
cnf(l25,plain,
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)))
| ~ element_of_collection(f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),top_of_basis(f))
| element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),f10(f,f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),in_1st_set(union_of_members(top_of_basis(f)),cx))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
( ~ element_of_set(X0,union_of_members(X1))
| element_of_collection(f1(X1,X0),X1) ),
inference(cnf,[status(esa)],[union_of_members_2]) ).
cnf(l24,plain,
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f)))
| element_of_collection(f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
( ~ element_of_set(X0,union_of_members(X1))
| element_of_set(X0,f1(X1,X0)) ),
inference(cnf,[status(esa)],[union_of_members_1]) ).
cnf(l31,plain,
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f)))
| element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l30,plain,
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f)))
| element_of_collection(f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l28,plain,
( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f)))
| element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(9,plain,
( element_of_set(in_1st_set(X0,X1),X0)
| subset_sets(X0,X1) ),
inference(cnf,[status(esa)],[set_theory_4]) ).
cnf(l34,plain,
( element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f)))
| subset_sets(union_of_members(top_of_basis(f)),cx) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l29,plain,
( element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f)))
| subset_sets(union_of_members(top_of_basis(f)),cx) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l32,plain,
( element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f)))
| subset_sets(union_of_members(top_of_basis(f)),cx) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l26,plain,
( element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f)))
| subset_sets(union_of_members(top_of_basis(f)),cx) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l18,l19,l20,l21,l22,l23,l25,l24,l31,l30,l28,l34,l29,l32,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : TOP001-2 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 21:27:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.34 % launching worker at depth: 11
% 0.13/0.35 % launching worker at depth: 12
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------