%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU275+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:22:12 PM UTC 2026
% Result : Theorem 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU275+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 06:05:40 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f3,axiom,(
% 0.09/0.37 (! [A] :( relation(A)=> ( well_ordering(A)<=> ( reflexive(A)& transitive(A)& antisymmetric(A)& connected(A)& well_founded_relation(A) ) ) ) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f4,axiom,(
% 0.09/0.37 (! [A] : relation(inclusion_relation(A)) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f6,axiom,(
% 0.09/0.37 (! [A] : reflexive(inclusion_relation(A)) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f7,axiom,(
% 0.09/0.37 (! [A] : transitive(inclusion_relation(A)) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f8,axiom,(
% 0.09/0.37 (! [A] :( ordinal(A)=> connected(inclusion_relation(A)) ) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f9,axiom,(
% 0.09/0.37 (! [A] : antisymmetric(inclusion_relation(A)) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f10,axiom,(
% 0.09/0.37 (! [A] :( ordinal(A)=> well_founded_relation(inclusion_relation(A)) ) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f11,conjecture,(
% 0.09/0.37 (! [A] :( ordinal(A)=> well_ordering(inclusion_relation(A)) ) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f12,negated_conjecture,(
% 0.09/0.37 ~((! [A] :( ordinal(A)=> well_ordering(inclusion_relation(A)) ) ))),
% 0.09/0.37 inference(negated_conjecture,[status(cth)],[f11])).
% 0.09/0.37 fof(f18,plain,(
% 0.09/0.37 ![A]: (~relation(A)|(well_ordering(A)<=>((((reflexive(A)&transitive(A))&antisymmetric(A))&connected(A))&well_founded_relation(A))))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/0.37 fof(f19,plain,(
% 0.09/0.37 ![A]: (~relation(A)|((~well_ordering(A)|((((reflexive(A)&transitive(A))&antisymmetric(A))&connected(A))&well_founded_relation(A)))&(well_ordering(A)|((((~reflexive(A)|~transitive(A))|~antisymmetric(A))|~connected(A))|~well_founded_relation(A)))))),
% 0.09/0.37 inference(NNF_transformation,[status(thm)],[f18])).
% 0.09/0.37 fof(f25,plain,(
% 0.09/0.37 ![X0]: (~relation(X0)|well_ordering(X0)|~reflexive(X0)|~transitive(X0)|~antisymmetric(X0)|~connected(X0)|~well_founded_relation(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.37 fof(f26,plain,(
% 0.09/0.37 ![X0]: (relation(inclusion_relation(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.37 fof(f31,plain,(
% 0.09/0.37 ![X0]: (reflexive(inclusion_relation(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.37 fof(f32,plain,(
% 0.09/0.37 ![X0]: (transitive(inclusion_relation(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.37 fof(f33,plain,(
% 0.09/0.37 ![A]: (~ordinal(A)|connected(inclusion_relation(A)))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.37 fof(f34,plain,(
% 0.09/0.37 ![X0]: (~ordinal(X0)|connected(inclusion_relation(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f33])).
% 0.09/0.37 fof(f35,plain,(
% 0.09/0.37 ![X0]: (antisymmetric(inclusion_relation(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.37 fof(f36,plain,(
% 0.09/0.37 ![A]: (~ordinal(A)|well_founded_relation(inclusion_relation(A)))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.09/0.37 fof(f37,plain,(
% 0.09/0.37 ![X0]: (~ordinal(X0)|well_founded_relation(inclusion_relation(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.37 fof(f38,plain,(
% 0.09/0.37 (?[A]: (ordinal(A)&~well_ordering(inclusion_relation(A))))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.09/0.37 fof(f39,plain,(
% 0.09/0.37 (ordinal(sK1_skl)&~well_ordering(inclusion_relation(sK1_skl)))),
% 0.09/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(A,sK1_skl)],[f38])).
% 0.09/0.37 fof(f40,plain,(
% 0.09/0.37 ordinal(sK1_skl)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f39])).
% 0.09/0.37 fof(f41,plain,(
% 0.09/0.37 ~well_ordering(inclusion_relation(sK1_skl))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f39])).
% 0.09/0.37 fof(f44,plain,(
% 0.09/0.37 ![X0]: (well_ordering(inclusion_relation(X0))|~reflexive(inclusion_relation(X0))|~transitive(inclusion_relation(X0))|~antisymmetric(inclusion_relation(X0))|~connected(inclusion_relation(X0))|~well_founded_relation(inclusion_relation(X0)))),
% 0.09/0.37 inference(resolution,[status(thm)],[f25,f26])).
% 0.09/0.37 fof(f45,plain,(
% 0.09/0.37 ![X0]: (well_ordering(inclusion_relation(X0))|~transitive(inclusion_relation(X0))|~antisymmetric(inclusion_relation(X0))|~connected(inclusion_relation(X0))|~well_founded_relation(inclusion_relation(X0)))),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f44,f31])).
% 0.09/0.37 fof(f46,plain,(
% 0.09/0.37 ![X0]: (well_ordering(inclusion_relation(X0))|~antisymmetric(inclusion_relation(X0))|~connected(inclusion_relation(X0))|~well_founded_relation(inclusion_relation(X0)))),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f45,f32])).
% 0.09/0.37 fof(f47,plain,(
% 0.09/0.37 ![X0]: (well_ordering(inclusion_relation(X0))|~antisymmetric(inclusion_relation(X0))|~well_founded_relation(inclusion_relation(X0))|~ordinal(X0))),
% 0.09/0.37 inference(resolution,[status(thm)],[f46,f34])).
% 0.09/0.37 fof(f51,plain,(
% 0.09/0.37 ![X0]: (well_ordering(inclusion_relation(X0))|~well_founded_relation(inclusion_relation(X0))|~ordinal(X0))),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f47,f35])).
% 0.09/0.37 fof(f53,plain,(
% 0.09/0.37 ![X0]: (well_ordering(inclusion_relation(X0))|~ordinal(X0))),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f51,f37])).
% 0.09/0.37 fof(f54,plain,(
% 0.09/0.37 ~ordinal(sK1_skl)),
% 0.09/0.37 inference(resolution,[status(thm)],[f53,f41])).
% 0.09/0.37 fof(f55,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f54,f40])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.036185 seconds
% 0.12/0.40 % CPU time: 0.063733 seconds
% 0.12/0.40 % Total memory used: 3.492 MB
% 0.12/0.40 % Net memory used: 3.479 MB
%------------------------------------------------------------------------------