%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU134+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:21:45 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU134+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:47:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f11,axiom,(
% 0.14/0.40 (! [A] : set_difference(empty_set,A) = empty_set )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f13,conjecture,(
% 0.14/0.40 (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f14,negated_conjecture,(
% 0.14/0.40 ~((! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f13])).
% 0.14/0.40 fof(f15,axiom,(
% 0.14/0.40 (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f32,plain,(
% 0.14/0.40 ![X0]: (set_difference(empty_set,X0)=empty_set)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.40 fof(f35,plain,(
% 0.14/0.40 (?[A,B]: (set_difference(A,B)=empty_set<~>subset(A,B)))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.14/0.40 fof(f36,plain,(
% 0.14/0.40 ?[A,B]: ((set_difference(A,B)=empty_set|subset(A,B))&(~set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f35])).
% 0.14/0.40 fof(f37,plain,(
% 0.14/0.40 ((set_difference(sK2_skl,sK3_skl)=empty_set|subset(sK2_skl,sK3_skl))&(~set_difference(sK2_skl,sK3_skl)=empty_set|~subset(sK2_skl,sK3_skl)))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f36])).
% 0.14/0.40 fof(f38,plain,(
% 0.14/0.40 set_difference(sK2_skl,sK3_skl)=empty_set|subset(sK2_skl,sK3_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.40 fof(f39,plain,(
% 0.14/0.40 ~set_difference(sK2_skl,sK3_skl)=empty_set|~subset(sK2_skl,sK3_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.40 fof(f40,plain,(
% 0.14/0.40 ![A,B]: ((~set_difference(A,B)=empty_set|subset(A,B))&(set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f15])).
% 0.14/0.40 fof(f41,plain,(
% 0.14/0.40 (![A,B]: (~set_difference(A,B)=empty_set|subset(A,B)))&(![A,B]: (set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f40])).
% 0.14/0.40 fof(f42,plain,(
% 0.14/0.40 ![X0,X1]: (~set_difference(X0,X1)=empty_set|subset(X0,X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.14/0.40 fof(f43,plain,(
% 0.14/0.40 ![X0,X1]: (set_difference(X0,X1)=empty_set|~subset(X0,X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.14/0.40 fof(f44,definition,(
% 0.14/0.40 sQ0_spl <=> (set_difference(sK2_skl,sK3_skl)=empty_set)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f45,plain,(
% 0.14/0.40 set_difference(sK2_skl,sK3_skl)=empty_set|~sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f44])).
% 0.14/0.40 fof(f47,definition,(
% 0.14/0.40 sQ1_spl <=> (subset(sK2_skl,sK3_skl))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f48,plain,(
% 0.14/0.40 subset(sK2_skl,sK3_skl)|~sQ1_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f47])).
% 0.14/0.40 fof(f50,plain,(
% 0.14/0.40 sQ0_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f38,f44,f47])).
% 0.14/0.40 fof(f51,plain,(
% 0.14/0.40 ~sQ0_spl|~sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f39,f44,f47])).
% 0.14/0.40 fof(f56,plain,(
% 0.14/0.40 ![X0]: (~empty_set=empty_set|subset(empty_set,X0))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f32,f42])).
% 0.14/0.40 fof(f58,definition,(
% 0.14/0.40 sQ2_spl <=> (empty_set=empty_set)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f60,plain,(
% 0.14/0.40 ~empty_set=empty_set|sQ2_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f58])).
% 0.14/0.40 fof(f61,definition,(
% 0.14/0.40 ![X0]: (sQ3_spl <=> (subset(empty_set,X0)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f64,plain,(
% 0.14/0.40 ~sQ2_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f56,f58,f61])).
% 0.14/0.40 fof(f66,plain,(
% 0.14/0.40 $false|sQ2_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f60])).
% 0.14/0.40 fof(f67,plain,(
% 0.14/0.40 sQ2_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f66])).
% 0.14/0.40 fof(f71,plain,(
% 0.14/0.40 ~empty_set=empty_set|subset(sK2_skl,sK3_skl)|~sQ0_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f45,f42])).
% 0.14/0.40 fof(f73,plain,(
% 0.14/0.40 ~sQ2_spl|sQ1_spl|~sQ0_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f71,f58,f47,f44])).
% 0.14/0.41 fof(f74,plain,(
% 0.14/0.41 set_difference(sK2_skl,sK3_skl)=empty_set|~sQ1_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f48,f43])).
% 0.14/0.41 fof(f75,plain,(
% 0.14/0.41 sQ0_spl|~sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f74,f44,f47])).
% 0.14/0.41 fof(f76,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(sat_refutation,[status(thm)],[f50,f51,f64,f67,f73,f75])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.058728 seconds
% 0.14/0.43 % CPU time: 0.153709 seconds
% 0.14/0.43 % Total memory used: 101.355 MB
% 0.14/0.43 % Net memory used: 100.916 MB
%------------------------------------------------------------------------------