%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET924+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 : n020.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 02:12:52 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET924+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.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 05:45:17 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f4,conjecture,(
% 0.09/0.40 (! [A,B] :( set_difference(singleton(A),B) = singleton(A)<=> ~ in(A,B) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,negated_conjecture,(
% 0.09/0.40 ~((! [A,B] :( set_difference(singleton(A),B) = singleton(A)<=> ~ in(A,B) ) ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f4])).
% 0.09/0.40 fof(f6,axiom,(
% 0.09/0.40 (! [A,B] :( set_difference(singleton(A),B) = singleton(A)<=> ~ in(A,B) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f13,plain,(
% 0.09/0.40 (?[A,B]: (set_difference(singleton(A),B)=singleton(A)<~>~in(A,B)))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f14,plain,(
% 0.09/0.40 ?[A,B]: ((set_difference(singleton(A),B)=singleton(A)|~in(A,B))&(~set_difference(singleton(A),B)=singleton(A)|in(A,B)))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f13])).
% 0.09/0.40 fof(f15,plain,(
% 0.09/0.40 ((set_difference(singleton(sK2_skl),sK3_skl)=singleton(sK2_skl)|~in(sK2_skl,sK3_skl))&(~set_difference(singleton(sK2_skl),sK3_skl)=singleton(sK2_skl)|in(sK2_skl,sK3_skl)))),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f14])).
% 0.09/0.40 fof(f16,plain,(
% 0.09/0.40 set_difference(singleton(sK2_skl),sK3_skl)=singleton(sK2_skl)|~in(sK2_skl,sK3_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.40 fof(f17,plain,(
% 0.09/0.40 ~set_difference(singleton(sK2_skl),sK3_skl)=singleton(sK2_skl)|in(sK2_skl,sK3_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.40 fof(f18,plain,(
% 0.09/0.40 ![A,B]: ((~set_difference(singleton(A),B)=singleton(A)|~in(A,B))&(set_difference(singleton(A),B)=singleton(A)|in(A,B)))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f6])).
% 0.09/0.40 fof(f19,plain,(
% 0.09/0.40 (![A,B]: (~set_difference(singleton(A),B)=singleton(A)|~in(A,B)))&(![A,B]: (set_difference(singleton(A),B)=singleton(A)|in(A,B)))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f18])).
% 0.09/0.40 fof(f20,plain,(
% 0.09/0.40 ![X0,X1]: (~set_difference(singleton(X0),X1)=singleton(X0)|~in(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.40 fof(f21,plain,(
% 0.09/0.40 ![X0,X1]: (set_difference(singleton(X0),X1)=singleton(X0)|in(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.40 fof(f22,plain,(
% 0.09/0.40 ~in(sK2_skl,sK3_skl)),
% 0.09/0.40 inference(backward_subsumption_resolution,[status(thm)],[f16,f20])).
% 0.09/0.40 fof(f23,plain,(
% 0.09/0.40 ~set_difference(singleton(sK2_skl),sK3_skl)=singleton(sK2_skl)),
% 0.09/0.40 inference(backward_subsumption_resolution,[status(thm)],[f17,f20])).
% 0.09/0.40 fof(f24,plain,(
% 0.09/0.40 set_difference(singleton(sK2_skl),sK3_skl)=singleton(sK2_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f21,f22])).
% 0.09/0.40 fof(f26,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f24,f23])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.051620 seconds
% 0.09/0.42 % CPU time: 0.140644 seconds
% 0.09/0.42 % Total memory used: 79.762 MB
% 0.09/0.42 % Net memory used: 79.182 MB
%------------------------------------------------------------------------------