%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET900+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 : 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 02:12:49 PM UTC 2026
% Result : Theorem 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET900+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
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:44:18 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f5,conjecture,(
% 0.11/0.41 (! [A,B] :~ ( A != singleton(B)& A != empty_set& (! [C] :~ ( in(C,A)& C != B ) )) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f6,negated_conjecture,(
% 0.11/0.41 ~((! [A,B] :~ ( A != singleton(B)& A != empty_set& (! [C] :~ ( in(C,A)& C != B ) )) ))),
% 0.11/0.41 inference(negated_conjecture,[status(cth)],[f5])).
% 0.11/0.41 fof(f7,axiom,(
% 0.11/0.41 (! [A,B] :~ ( A != singleton(B)& A != empty_set& (! [C] :~ ( in(C,A)& C != B ) )) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f15,plain,(
% 0.11/0.41 (?[A,B]: ((~A=singleton(B)&~A=empty_set)&(![C]: (~in(C,A)|C=B))))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.11/0.41 fof(f16,plain,(
% 0.11/0.41 ((~sK2_skl=singleton(sK3_skl)&~sK2_skl=empty_set)&(![C]: (~in(C,sK2_skl)|C=sK3_skl)))),
% 0.11/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f15])).
% 0.11/0.41 fof(f17,plain,(
% 0.11/0.41 ~sK2_skl=singleton(sK3_skl)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.41 fof(f18,plain,(
% 0.11/0.41 ~sK2_skl=empty_set),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.41 fof(f19,plain,(
% 0.11/0.41 ![X0]: (~in(X0,sK2_skl)|X0=sK3_skl)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.41 fof(f20,plain,(
% 0.11/0.41 ![A,B]: ((A=singleton(B)|A=empty_set)|(?[C]: (in(C,A)&~C=B)))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.11/0.41 fof(f21,plain,(
% 0.11/0.41 ![A,B]: ((A=singleton(B)|A=empty_set)|(in(sK4_skl(B,A),A)&~sK4_skl(B,A)=B))),
% 0.11/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(C,sK4_skl(B,A))],[f20])).
% 0.11/0.41 fof(f22,plain,(
% 0.11/0.41 ![X0,X1]: (X0=singleton(X1)|X0=empty_set|in(sK4_skl(X1,X0),X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.41 fof(f23,plain,(
% 0.11/0.41 ![X0,X1]: (X0=singleton(X1)|X0=empty_set|~sK4_skl(X1,X0)=X1)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.41 fof(f24,plain,(
% 0.11/0.41 ![X0]: (sK2_skl=singleton(X0)|sK2_skl=empty_set|sK4_skl(X0,sK2_skl)=sK3_skl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f22,f19])).
% 0.11/0.41 fof(f26,definition,(
% 0.11/0.41 ![X0]: (sQ0_spl <=> (sK2_skl=singleton(X0)|sK4_skl(X0,sK2_skl)=sK3_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f27,plain,(
% 0.11/0.41 ![X0]: (sK2_skl=singleton(X0)|sK4_skl(X0,sK2_skl)=sK3_skl|~sQ0_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f26])).
% 0.11/0.41 fof(f29,definition,(
% 0.11/0.41 sQ1_spl <=> (sK2_skl=empty_set)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f30,plain,(
% 0.11/0.41 sK2_skl=empty_set|~sQ1_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f29])).
% 0.11/0.41 fof(f32,plain,(
% 0.11/0.41 sQ0_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f24,f26,f29])).
% 0.11/0.41 fof(f33,plain,(
% 0.11/0.41 sK2_skl=singleton(sK3_skl)|sK2_skl=singleton(sK3_skl)|sK2_skl=empty_set|~sQ0_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f27,f23])).
% 0.11/0.41 fof(f36,definition,(
% 0.11/0.41 sQ2_spl <=> (sK2_skl=singleton(sK3_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f37,plain,(
% 0.11/0.41 sK2_skl=singleton(sK3_skl)|~sQ2_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f36])).
% 0.11/0.41 fof(f39,plain,(
% 0.11/0.41 sQ2_spl|sQ1_spl|~sQ0_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f33,f36,f29,f26])).
% 0.11/0.41 fof(f51,plain,(
% 0.11/0.41 $false|~sQ1_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f30,f18])).
% 0.11/0.41 fof(f52,plain,(
% 0.11/0.41 ~sQ1_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f51])).
% 0.11/0.41 fof(f53,plain,(
% 0.11/0.41 $false|~sQ2_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f37,f17])).
% 0.11/0.41 fof(f54,plain,(
% 0.11/0.41 ~sQ2_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f53])).
% 0.11/0.41 fof(f55,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(sat_refutation,[status(thm)],[f32,f39,f52,f54])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.062068 seconds
% 0.11/0.43 % CPU time: 0.155156 seconds
% 0.11/0.43 % Total memory used: 79.753 MB
% 0.11/0.43 % Net memory used: 79.242 MB
%------------------------------------------------------------------------------