%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET925+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 0.17s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET925+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n008.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 05:45:09 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.48 fof(f5,conjecture,(
% 0.17/0.48 (! [A,B] :( set_difference(singleton(A),B) = empty_set<=> in(A,B) ) )),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f6,negated_conjecture,(
% 0.17/0.48 ~((! [A,B] :( set_difference(singleton(A),B) = empty_set<=> in(A,B) ) ))),
% 0.17/0.48 inference(negated_conjecture,[status(cth)],[f5])).
% 0.17/0.48 fof(f7,axiom,(
% 0.17/0.48 (! [A,B] :( set_difference(singleton(A),B) = empty_set<=> in(A,B) ) )),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f15,plain,(
% 0.17/0.48 (?[A,B]: (set_difference(singleton(A),B)=empty_set<~>in(A,B)))),
% 0.17/0.48 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.17/0.48 fof(f16,plain,(
% 0.17/0.48 ?[A,B]: ((set_difference(singleton(A),B)=empty_set|in(A,B))&(~set_difference(singleton(A),B)=empty_set|~in(A,B)))),
% 0.17/0.48 inference(NNF_transformation,[status(thm)],[f15])).
% 0.17/0.48 fof(f17,plain,(
% 0.17/0.48 ((set_difference(singleton(sK2_skl),sK3_skl)=empty_set|in(sK2_skl,sK3_skl))&(~set_difference(singleton(sK2_skl),sK3_skl)=empty_set|~in(sK2_skl,sK3_skl)))),
% 0.17/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f16])).
% 0.17/0.48 fof(f18,plain,(
% 0.17/0.48 set_difference(singleton(sK2_skl),sK3_skl)=empty_set|in(sK2_skl,sK3_skl)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f17])).
% 0.17/0.48 fof(f19,plain,(
% 0.17/0.48 ~set_difference(singleton(sK2_skl),sK3_skl)=empty_set|~in(sK2_skl,sK3_skl)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f17])).
% 0.17/0.48 fof(f20,plain,(
% 0.17/0.48 ![A,B]: ((~set_difference(singleton(A),B)=empty_set|in(A,B))&(set_difference(singleton(A),B)=empty_set|~in(A,B)))),
% 0.17/0.48 inference(NNF_transformation,[status(thm)],[f7])).
% 0.17/0.48 fof(f21,plain,(
% 0.17/0.48 (![A,B]: (~set_difference(singleton(A),B)=empty_set|in(A,B)))&(![A,B]: (set_difference(singleton(A),B)=empty_set|~in(A,B)))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f20])).
% 0.17/0.48 fof(f22,plain,(
% 0.17/0.48 ![X0,X1]: (~set_difference(singleton(X0),X1)=empty_set|in(X0,X1))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f21])).
% 0.17/0.48 fof(f23,plain,(
% 0.17/0.48 ![X0,X1]: (set_difference(singleton(X0),X1)=empty_set|~in(X0,X1))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f21])).
% 0.17/0.48 fof(f24,plain,(
% 0.17/0.48 in(sK2_skl,sK3_skl)),
% 0.17/0.48 inference(backward_subsumption_resolution,[status(thm)],[f18,f22])).
% 0.17/0.48 fof(f25,plain,(
% 0.17/0.48 ~set_difference(singleton(sK2_skl),sK3_skl)=empty_set),
% 0.17/0.48 inference(backward_subsumption_resolution,[status(thm)],[f19,f22])).
% 0.17/0.48 fof(f27,plain,(
% 0.17/0.48 set_difference(singleton(sK2_skl),sK3_skl)=empty_set),
% 0.17/0.48 inference(resolution,[status(thm)],[f23,f24])).
% 0.17/0.48 fof(f28,plain,(
% 0.17/0.48 $false),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f27,f25])).
% 0.17/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.52 % Elapsed time: 0.067522 seconds
% 0.21/0.52 % CPU time: 0.181363 seconds
% 0.21/0.52 % Total memory used: 69.797 MB
% 0.21/0.52 % Net memory used: 69.311 MB
%------------------------------------------------------------------------------