%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : TOP005-2 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 10:10:26 PM UTC 2025
% Result : Unsatisfiable 7.14s 1.21s
% Output : CNFRefutation 7.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named lemma_1e_3)
% Comments :
%------------------------------------------------------------------------------
cnf(11,plain,
~ element_of_collection(union_of_members(g),top_of_basis(f)),
inference(cnf,[status(esa)],[lemma_1e_3]) ).
cnf(l0,plain,
~ element_of_collection(union_of_members(g),top_of_basis(f)),
inference(instantiation,[status(thm)],[11]) ).
cnf(6,plain,
( ~ element_of_set(f11(X0,X1),X2)
| ~ element_of_collection(X2,X0)
| ~ subset_sets(X2,X1)
| element_of_collection(X1,top_of_basis(X0)) ),
inference(cnf,[status(esa)],[topology_generated_41]) ).
cnf(l1,plain,
( ~ element_of_set(f11(f,union_of_members(g)),f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))))
| ~ element_of_collection(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f)
| ~ subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),union_of_members(g))
| element_of_collection(union_of_members(g),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,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(l2,plain,
( ~ element_of_set(f11(f,union_of_members(g)),f1(g,f11(f,union_of_members(g))))
| ~ element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f))
| element_of_set(f11(f,union_of_members(g)),f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,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(l292,plain,
( ~ element_of_set(f11(f,union_of_members(g)),f1(g,f11(f,union_of_members(g))))
| ~ element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f))
| element_of_collection(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(8,plain,
( ~ element_of_collection(X0,X1)
| ~ subset_sets(X2,X0)
| subset_sets(X2,union_of_members(X1)) ),
inference(cnf,[status(esa)],[set_theory_20]) ).
cnf(l4,plain,
( ~ element_of_collection(f1(g,f11(f,union_of_members(g))),g)
| ~ subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f1(g,f11(f,union_of_members(g))))
| subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),union_of_members(g)) ),
inference(instantiation,[status(thm)],[8]) ).
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(l153,plain,
( ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_collection(f1(g,f11(f,union_of_members(g))),g) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(9,plain,
( ~ element_of_collection(X0,X1)
| ~ subset_collections(X1,X2)
| element_of_collection(X0,X2) ),
inference(cnf,[status(esa)],[set_theory_21]) ).
cnf(l3,plain,
( ~ element_of_collection(f1(g,f11(f,union_of_members(g))),g)
| ~ subset_collections(g,top_of_basis(f))
| element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[9]) ).
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(l7,plain,
( ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_set(f11(f,union_of_members(g)),f1(g,f11(f,union_of_members(g)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
( element_of_set(f11(X0,X1),X1)
| element_of_collection(X1,top_of_basis(X0)) ),
inference(cnf,[status(esa)],[topology_generated_40]) ).
cnf(l154,plain,
( element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_collection(union_of_members(g),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l9,plain,
( element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_collection(union_of_members(g),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l325,plain,
( ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_set(f11(f,union_of_members(g)),f1(g,f11(f,union_of_members(g)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
( ~ element_of_set(X0,X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| subset_sets(f10(X2,X1,X0),X1) ),
inference(cnf,[status(esa)],[topology_generated_39]) ).
cnf(l5,plain,
( ~ element_of_set(f11(f,union_of_members(g)),f1(g,f11(f,union_of_members(g))))
| ~ element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f))
| subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f1(g,f11(f,union_of_members(g)))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l102,plain,
( ~ element_of_collection(f1(g,f11(f,union_of_members(g))),g)
| ~ subset_collections(g,top_of_basis(f))
| element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l328,plain,
( element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_collection(union_of_members(g),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l137,plain,
( ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_collection(f1(g,f11(f,union_of_members(g))),g) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l138,plain,
( element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_collection(union_of_members(g),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(10,plain,
subset_collections(g,top_of_basis(f)),
inference(cnf,[status(esa)],[lemma_1e_2]) ).
cnf(l136,plain,
subset_collections(g,top_of_basis(f)),
inference(instantiation,[status(thm)],[10]) ).
cnf(l329,plain,
( ~ element_of_collection(f1(g,f11(f,union_of_members(g))),g)
| ~ subset_collections(g,top_of_basis(f))
| element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l353,plain,
subset_collections(g,top_of_basis(f)),
inference(instantiation,[status(thm)],[10]) ).
cnf(l330,plain,
( ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_collection(f1(g,f11(f,union_of_members(g))),g) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l340,plain,
( element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_collection(union_of_members(g),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l119,plain,
subset_collections(g,top_of_basis(f)),
inference(instantiation,[status(thm)],[10]) ).
cnf(l6,plain,
( ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_set(f11(f,union_of_members(g)),f1(g,f11(f,union_of_members(g)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l379,plain,
( ~ element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_collection(f1(g,f11(f,union_of_members(g))),g) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l10,plain,
( element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_collection(union_of_members(g),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l409,plain,
( element_of_set(f11(f,union_of_members(g)),union_of_members(g))
| element_of_collection(union_of_members(g),top_of_basis(f)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l292,l4,l153,l3,l7,l154,l9,l325,l5,l102,l328,l137,l138,l136,l329,l353,l330,l340,l119,l6,l379,l10,l409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : TOP005-2 : TPTP v9.0.0. Released v1.0.0.
% 0.04/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n028.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 : Tue Jul 22 21:27:49 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.30 % launching worker at depth: 9
% 0.08/0.30 % launching worker at depth: 10
% 0.13/0.31 % launching worker at depth: 11
% 0.13/0.31 % launching worker at depth: 12
% 0.13/0.45 % launching worker at depth: 13
% 7.14/1.21 % SZS status Theorem for theBenchmark
% 7.14/1.21 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------