%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET917+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 02:12:51 PM UTC 2026
% Result : Theorem 0.10s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET917+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:45:15 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f2,axiom,(
% 0.10/0.38 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f4,axiom,(
% 0.10/0.38 (! [A,B] :( ~ in(A,B)=> disjoint(singleton(A),B) ) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f5,axiom,(
% 0.10/0.38 (! [A,B] :( in(A,B)=> set_intersection2(B,singleton(A)) = singleton(A) ) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f9,conjecture,(
% 0.10/0.38 (! [A,B] :( disjoint(singleton(A),B)| set_intersection2(singleton(A),B) = singleton(A) ) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f10,negated_conjecture,(
% 0.10/0.38 ~((! [A,B] :( disjoint(singleton(A),B)| set_intersection2(singleton(A),B) = singleton(A) ) ))),
% 0.10/0.38 inference(negated_conjecture,[status(cth)],[f9])).
% 0.10/0.38 fof(f13,plain,(
% 0.10/0.38 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.38 fof(f16,plain,(
% 0.10/0.38 ![A,B]: (in(A,B)|disjoint(singleton(A),B))),
% 0.10/0.38 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.10/0.38 fof(f17,plain,(
% 0.10/0.38 ![X0,X1]: (in(X0,X1)|disjoint(singleton(X0),X1))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.38 fof(f18,plain,(
% 0.10/0.38 ![A,B]: (~in(A,B)|set_intersection2(B,singleton(A))=singleton(A))),
% 0.10/0.38 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.10/0.38 fof(f19,plain,(
% 0.10/0.38 ![X0,X1]: (~in(X0,X1)|set_intersection2(X1,singleton(X0))=singleton(X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.38 fof(f26,plain,(
% 0.10/0.38 (?[A,B]: (~disjoint(singleton(A),B)&~set_intersection2(singleton(A),B)=singleton(A)))),
% 0.10/0.38 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.10/0.38 fof(f27,plain,(
% 0.10/0.38 (~disjoint(singleton(sK2_skl),sK3_skl)&~set_intersection2(singleton(sK2_skl),sK3_skl)=singleton(sK2_skl))),
% 0.10/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f26])).
% 0.10/0.38 fof(f28,plain,(
% 0.10/0.38 ~disjoint(singleton(sK2_skl),sK3_skl)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.38 fof(f29,plain,(
% 0.10/0.38 ~set_intersection2(singleton(sK2_skl),sK3_skl)=singleton(sK2_skl)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.38 fof(f34,plain,(
% 0.10/0.38 ~set_intersection2(sK3_skl,singleton(sK2_skl))=singleton(sK2_skl)),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f13,f29])).
% 0.10/0.38 fof(f36,plain,(
% 0.10/0.38 in(sK2_skl,sK3_skl)),
% 0.10/0.38 inference(resolution,[status(thm)],[f17,f28])).
% 0.10/0.38 fof(f40,plain,(
% 0.10/0.38 set_intersection2(sK3_skl,singleton(sK2_skl))=singleton(sK2_skl)),
% 0.10/0.38 inference(resolution,[status(thm)],[f19,f36])).
% 0.10/0.38 fof(f41,plain,(
% 0.10/0.38 $false),
% 0.10/0.38 inference(forward_subsumption_resolution,[status(thm)],[f40,f34])).
% 0.10/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.043555 seconds
% 0.13/0.41 % CPU time: 0.069902 seconds
% 0.13/0.41 % Total memory used: 6.328 MB
% 0.13/0.41 % Net memory used: 6.311 MB
%------------------------------------------------------------------------------