%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU217+3 : 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 : n001.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 02:22:01 PM UTC 2026
% Result : Theorem 0.10s 5.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU217+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.56 % Computer : n001.cluster.edu
% 0.10/5.56 % Model : x86_64 x86_64
% 0.10/5.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.56 % Memory : 8046.5625MB
% 0.10/5.56 % OS : Linux 6.8.0-71-generic
% 0.10/5.56 % CPULimit : 300
% 0.10/5.56 % WCLimit : 300
% 0.10/5.56 % DateTime : Mon Sep 21 06:04:50 UTC 2026
% 0.10/5.56 % CPUTime :
% 0.10/5.57 % Drodi V4.1.1
% 0.10/5.59 % Refutation found
% 0.10/5.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/5.59 % SZS output start CNFRefutation for theBenchmark
% 0.10/5.59 fof(f18,axiom,(
% 0.10/5.59 (! [A] : relation(identity_relation(A)) )),
% 0.10/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.59 fof(f19,axiom,(
% 0.10/5.59 (! [A] :( relation(identity_relation(A))& function(identity_relation(A)) ) )),
% 0.10/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.59 fof(f30,conjecture,(
% 0.10/5.59 (! [A,B] :( in(B,A)=> apply(identity_relation(A),B) = B ) )),
% 0.10/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.59 fof(f31,negated_conjecture,(
% 0.10/5.59 ~((! [A,B] :( in(B,A)=> apply(identity_relation(A),B) = B ) ))),
% 0.10/5.59 inference(negated_conjecture,[status(cth)],[f30])).
% 0.10/5.59 fof(f32,axiom,(
% 0.10/5.59 (! [A,B] :( ( relation(B)& function(B) )=> ( B = identity_relation(A)<=> ( relation_dom(B) = A& (! [C] :( in(C,A)=> apply(B,C) = C ) )) ) ) )),
% 0.10/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.59 fof(f72,plain,(
% 0.10/5.59 ![X0]: (relation(identity_relation(X0)))),
% 0.10/5.59 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/5.59 fof(f73,plain,(
% 0.10/5.59 (![A]: relation(identity_relation(A)))&(![A]: function(identity_relation(A)))),
% 0.10/5.59 inference(miniscoping,[status(thm)],[f19])).
% 0.10/5.59 fof(f75,plain,(
% 0.10/5.59 ![X0]: (function(identity_relation(X0)))),
% 0.10/5.59 inference(cnf_transformation,[status(thm)],[f73])).
% 0.10/5.59 fof(f104,plain,(
% 0.10/5.59 (?[A,B]: (in(B,A)&~apply(identity_relation(A),B)=B))),
% 0.10/5.59 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.10/5.59 fof(f105,plain,(
% 0.10/5.59 (in(sK10_skl,sK9_skl)&~apply(identity_relation(sK9_skl),sK10_skl)=sK10_skl)),
% 0.10/5.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl]),skolemize(A,sK9_skl),skolemize(B,sK10_skl)],[f104])).
% 0.10/5.59 fof(f106,plain,(
% 0.10/5.59 in(sK10_skl,sK9_skl)),
% 0.10/5.59 inference(cnf_transformation,[status(thm)],[f105])).
% 0.10/5.59 fof(f107,plain,(
% 0.10/5.59 ~apply(identity_relation(sK9_skl),sK10_skl)=sK10_skl),
% 0.10/5.59 inference(cnf_transformation,[status(thm)],[f105])).
% 0.10/5.59 fof(f108,plain,(
% 0.10/5.59 ![A,B]: ((~relation(B)|~function(B))|(B=identity_relation(A)<=>(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C)))))),
% 0.10/5.59 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.10/5.59 fof(f109,plain,(
% 0.10/5.59 ![A,B]: ((~relation(B)|~function(B))|((~B=identity_relation(A)|(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C))))&(B=identity_relation(A)|(~relation_dom(B)=A|(?[C]: (in(C,A)&~apply(B,C)=C))))))),
% 0.10/5.59 inference(NNF_transformation,[status(thm)],[f108])).
% 0.10/5.59 fof(f110,plain,(
% 0.10/5.59 ![B]: ((~relation(B)|~function(B))|((![A]: (~B=identity_relation(A)|(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C)))))&(![A]: (B=identity_relation(A)|(~relation_dom(B)=A|(?[C]: (in(C,A)&~apply(B,C)=C)))))))),
% 0.10/5.59 inference(miniscoping,[status(thm)],[f109])).
% 0.10/5.59 fof(f111,plain,(
% 0.10/5.59 ![B]: ((~relation(B)|~function(B))|((![A]: (~B=identity_relation(A)|(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C)))))&(![A]: (B=identity_relation(A)|(~relation_dom(B)=A|(in(sK11_skl(A,B),A)&~apply(B,sK11_skl(A,B))=sK11_skl(A,B)))))))),
% 0.10/5.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(C,sK11_skl(A,B))],[f110])).
% 0.10/5.59 fof(f113,plain,(
% 0.10/5.59 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~X0=identity_relation(X1)|~in(X2,X1)|apply(X0,X2)=X2)),
% 0.10/5.59 inference(cnf_transformation,[status(thm)],[f111])).
% 0.10/5.59 fof(f118,plain,(
% 0.10/5.59 ![X1,X2]: (~relation(identity_relation(X1))|~function(identity_relation(X1))|~in(X2,X1)|apply(identity_relation(X1),X2)=X2)),
% 0.10/5.59 inference(destructive_equality_resolution,[status(thm)],[f113])).
% 0.10/5.59 fof(f119,plain,(
% 0.10/5.59 ![X0,X1]: (~function(identity_relation(X0))|~in(X1,X0)|apply(identity_relation(X0),X1)=X1)),
% 0.10/5.59 inference(forward_subsumption_resolution,[status(thm)],[f118,f72])).
% 0.10/5.59 fof(f125,plain,(
% 0.10/5.59 ~function(identity_relation(sK9_skl))|apply(identity_relation(sK9_skl),sK10_skl)=sK10_skl),
% 0.10/5.59 inference(resolution,[status(thm)],[f119,f106])).
% 0.10/5.59 fof(f126,definition,(
% 0.10/5.59 sQ0_spl <=> (function(identity_relation(sK9_skl)))),
% 0.10/5.59 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/5.59 fof(f128,plain,(
% 0.10/5.59 ~function(identity_relation(sK9_skl))|sQ0_spl),
% 0.10/5.59 inference(component_clause,[status(thm)],[f126])).
% 0.10/5.59 fof(f129,definition,(
% 0.10/5.59 sQ1_spl <=> (apply(identity_relation(sK9_skl),sK10_skl)=sK10_skl)),
% 0.10/5.60 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/5.60 fof(f130,plain,(
% 0.10/5.60 apply(identity_relation(sK9_skl),sK10_skl)=sK10_skl|~sQ1_spl),
% 0.10/5.60 inference(component_clause,[status(thm)],[f129])).
% 0.10/5.60 fof(f132,plain,(
% 0.10/5.60 ~sQ0_spl|sQ1_spl),
% 0.10/5.60 inference(split_clause,[status(thm)],[f125,f126,f129])).
% 0.10/5.60 fof(f133,plain,(
% 0.10/5.60 $false|sQ0_spl),
% 0.10/5.60 inference(forward_subsumption_resolution,[status(thm)],[f128,f75])).
% 0.10/5.60 fof(f134,plain,(
% 0.10/5.60 sQ0_spl),
% 0.10/5.60 inference(contradiction_clause,[status(thm)],[f133])).
% 0.10/5.60 fof(f135,plain,(
% 0.10/5.60 $false|~sQ1_spl),
% 0.10/5.60 inference(forward_subsumption_resolution,[status(thm)],[f130,f107])).
% 0.10/5.60 fof(f136,plain,(
% 0.10/5.60 ~sQ1_spl),
% 0.10/5.60 inference(contradiction_clause,[status(thm)],[f135])).
% 0.10/5.60 fof(f137,plain,(
% 0.10/5.60 $false),
% 0.10/5.60 inference(sat_refutation,[status(thm)],[f132,f134,f136])).
% 0.10/5.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.62 % Elapsed time: 0.048609 seconds
% 0.14/5.62 % CPU time: 0.143092 seconds
% 0.14/5.62 % Total memory used: 73.326 MB
% 0.14/5.62 % Net memory used: 73.250 MB
%------------------------------------------------------------------------------