%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET926+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 : 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 02:12:52 PM UTC 2026
% Result : Theorem 0.11s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET926+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.52 % Computer : n003.cluster.edu
% 0.11/0.52 % Model : x86_64 x86_64
% 0.11/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.52 % Memory : 8046.5625MB
% 0.11/0.52 % OS : Linux 6.8.0-71-generic
% 0.11/0.52 % CPULimit : 300
% 0.11/0.52 % WCLimit : 300
% 0.11/0.52 % DateTime : Mon Sep 21 05:45:45 UTC 2026
% 0.11/0.52 % CPUTime :
% 0.11/0.53 % Drodi V4.1.1
% 0.11/0.55 % Refutation found
% 0.11/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.55 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.55 fof(f3,axiom,(
% 0.11/0.55 (! [A,B] :( set_difference(singleton(A),B) = singleton(A)<=> ~ in(A,B) ) )),
% 0.11/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.55 fof(f4,axiom,(
% 0.11/0.55 (! [A,B] :( set_difference(singleton(A),B) = empty_set<=> in(A,B) ) )),
% 0.11/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.55 fof(f7,conjecture,(
% 0.11/0.55 (! [A,B] :( set_difference(singleton(A),B) = empty_set| set_difference(singleton(A),B) = singleton(A) ) )),
% 0.11/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.55 fof(f8,negated_conjecture,(
% 0.11/0.55 ~((! [A,B] :( set_difference(singleton(A),B) = empty_set| set_difference(singleton(A),B) = singleton(A) ) ))),
% 0.11/0.55 inference(negated_conjecture,[status(cth)],[f7])).
% 0.11/0.55 fof(f12,plain,(
% 0.11/0.55 ![A,B]: ((~set_difference(singleton(A),B)=singleton(A)|~in(A,B))&(set_difference(singleton(A),B)=singleton(A)|in(A,B)))),
% 0.11/0.55 inference(NNF_transformation,[status(thm)],[f3])).
% 0.11/0.55 fof(f13,plain,(
% 0.11/0.55 (![A,B]: (~set_difference(singleton(A),B)=singleton(A)|~in(A,B)))&(![A,B]: (set_difference(singleton(A),B)=singleton(A)|in(A,B)))),
% 0.11/0.55 inference(miniscoping,[status(thm)],[f12])).
% 0.11/0.55 fof(f15,plain,(
% 0.11/0.55 ![X0,X1]: (set_difference(singleton(X0),X1)=singleton(X0)|in(X0,X1))),
% 0.11/0.55 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.55 fof(f16,plain,(
% 0.11/0.55 ![A,B]: ((~set_difference(singleton(A),B)=empty_set|in(A,B))&(set_difference(singleton(A),B)=empty_set|~in(A,B)))),
% 0.11/0.55 inference(NNF_transformation,[status(thm)],[f4])).
% 0.11/0.55 fof(f17,plain,(
% 0.11/0.55 (![A,B]: (~set_difference(singleton(A),B)=empty_set|in(A,B)))&(![A,B]: (set_difference(singleton(A),B)=empty_set|~in(A,B)))),
% 0.11/0.55 inference(miniscoping,[status(thm)],[f16])).
% 0.11/0.55 fof(f19,plain,(
% 0.11/0.55 ![X0,X1]: (set_difference(singleton(X0),X1)=empty_set|~in(X0,X1))),
% 0.11/0.55 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.55 fof(f24,plain,(
% 0.11/0.55 (?[A,B]: (~set_difference(singleton(A),B)=empty_set&~set_difference(singleton(A),B)=singleton(A)))),
% 0.11/0.55 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.11/0.55 fof(f25,plain,(
% 0.11/0.55 (~set_difference(singleton(sK2_skl),sK3_skl)=empty_set&~set_difference(singleton(sK2_skl),sK3_skl)=singleton(sK2_skl))),
% 0.11/0.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f24])).
% 0.11/0.55 fof(f26,plain,(
% 0.11/0.55 ~set_difference(singleton(sK2_skl),sK3_skl)=empty_set),
% 0.11/0.55 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.55 fof(f27,plain,(
% 0.11/0.55 ~set_difference(singleton(sK2_skl),sK3_skl)=singleton(sK2_skl)),
% 0.11/0.55 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.55 fof(f28,plain,(
% 0.11/0.55 ![X0,X1]: (set_difference(singleton(X0),X1)=singleton(X0)|set_difference(singleton(X0),X1)=empty_set)),
% 0.11/0.55 inference(resolution,[status(thm)],[f15,f19])).
% 0.11/0.55 fof(f29,plain,(
% 0.11/0.55 set_difference(singleton(sK2_skl),sK3_skl)=empty_set),
% 0.11/0.55 inference(resolution,[status(thm)],[f28,f27])).
% 0.11/0.55 fof(f36,plain,(
% 0.11/0.55 $false),
% 0.11/0.55 inference(forward_subsumption_resolution,[status(thm)],[f29,f26])).
% 0.11/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.57 % Elapsed time: 0.044491 seconds
% 0.11/0.57 % CPU time: 0.125977 seconds
% 0.11/0.57 % Total memory used: 69.823 MB
% 0.11/0.57 % Net memory used: 69.396 MB
%------------------------------------------------------------------------------