%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET910+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 : n009.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 02:12:50 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 : SET910+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
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:43:12 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % 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(f6,conjecture,(
% 0.14/0.40 (! [A,B] :( set_intersection2(A,singleton(B)) = singleton(B)=> in(B,A) ) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f7,negated_conjecture,(
% 0.14/0.40 ~((! [A,B] :( set_intersection2(A,singleton(B)) = singleton(B)=> in(B,A) ) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f6])).
% 0.14/0.40 fof(f8,axiom,(
% 0.14/0.40 (! [A,B] :( set_intersection2(A,singleton(B)) = singleton(B)=> in(B,A) ) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f18,plain,(
% 0.14/0.40 (?[A,B]: (set_intersection2(A,singleton(B))=singleton(B)&~in(B,A)))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.14/0.40 fof(f19,plain,(
% 0.14/0.40 (set_intersection2(sK2_skl,singleton(sK3_skl))=singleton(sK3_skl)&~in(sK3_skl,sK2_skl))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f18])).
% 0.14/0.40 fof(f20,plain,(
% 0.14/0.40 set_intersection2(sK2_skl,singleton(sK3_skl))=singleton(sK3_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f21,plain,(
% 0.14/0.40 ~in(sK3_skl,sK2_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f22,plain,(
% 0.14/0.40 ![A,B]: (~set_intersection2(A,singleton(B))=singleton(B)|in(B,A))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.14/0.40 fof(f23,plain,(
% 0.14/0.40 ![X0,X1]: (~set_intersection2(X0,singleton(X1))=singleton(X1)|in(X1,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.40 fof(f28,plain,(
% 0.14/0.40 in(sK3_skl,sK2_skl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f23,f20])).
% 0.14/0.40 fof(f34,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f28,f21])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.049174 seconds
% 0.14/0.43 % CPU time: 0.144264 seconds
% 0.14/0.43 % Total memory used: 66.263 MB
% 0.14/0.43 % Net memory used: 65.716 MB
%------------------------------------------------------------------------------