%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET991+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 : n006.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 02:12:57 PM UTC 2026
% Result : Theorem 0.16s 10.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET991+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
% 0.12/10.59 % Computer : n006.cluster.edu
% 0.12/10.59 % Model : x86_64 x86_64
% 0.12/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.59 % Memory : 8046.5625MB
% 0.12/10.59 % OS : Linux 6.8.0-71-generic
% 0.12/10.59 % CPULimit : 300
% 0.12/10.59 % WCLimit : 300
% 0.12/10.59 % DateTime : Mon Sep 21 05:46:42 UTC 2026
% 0.12/10.59 % CPUTime :
% 0.16/10.61 % Drodi V4.1.1
% 0.16/10.63 % Refutation found
% 0.16/10.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/10.63 % SZS output start CNFRefutation for theBenchmark
% 0.16/10.63 fof(f30,conjecture,(
% 0.16/10.63 (! [A,B] :( ( relation(B)& function(B) )=> ( in(A,relation_dom(B))=> in(apply(B,A),relation_rng(B)) ) ) )),
% 0.16/10.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/10.63 fof(f31,negated_conjecture,(
% 0.16/10.63 ~((! [A,B] :( ( relation(B)& function(B) )=> ( in(A,relation_dom(B))=> in(apply(B,A),relation_rng(B)) ) ) ))),
% 0.16/10.63 inference(negated_conjecture,[status(cth)],[f30])).
% 0.16/10.63 fof(f32,axiom,(
% 0.16/10.63 (! [A] :( ( relation(A)& function(A) )=> (! [B] :( B = relation_rng(A)<=> (! [C] :( in(C,B)<=> (? [D] :( in(D,relation_dom(A))& C = apply(A,D) ) )) )) )) )),
% 0.16/10.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/10.63 fof(f105,plain,(
% 0.16/10.63 (?[A,B]: ((relation(B)&function(B))&(in(A,relation_dom(B))&~in(apply(B,A),relation_rng(B)))))),
% 0.16/10.63 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.16/10.63 fof(f106,plain,(
% 0.16/10.63 ?[B]: ((relation(B)&function(B))&(?[A]: (in(A,relation_dom(B))&~in(apply(B,A),relation_rng(B)))))),
% 0.16/10.63 inference(miniscoping,[status(thm)],[f105])).
% 0.16/10.63 fof(f107,plain,(
% 0.16/10.63 ((relation(sK9_skl)&function(sK9_skl))&(in(sK10_skl,relation_dom(sK9_skl))&~in(apply(sK9_skl,sK10_skl),relation_rng(sK9_skl))))),
% 0.16/10.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl]),skolemize(B,sK9_skl),skolemize(A,sK10_skl)],[f106])).
% 0.16/10.63 fof(f108,plain,(
% 0.16/10.63 relation(sK9_skl)),
% 0.16/10.63 inference(cnf_transformation,[status(thm)],[f107])).
% 0.16/10.63 fof(f109,plain,(
% 0.16/10.63 function(sK9_skl)),
% 0.16/10.63 inference(cnf_transformation,[status(thm)],[f107])).
% 0.16/10.63 fof(f110,plain,(
% 0.16/10.63 in(sK10_skl,relation_dom(sK9_skl))),
% 0.16/10.63 inference(cnf_transformation,[status(thm)],[f107])).
% 0.16/10.63 fof(f111,plain,(
% 0.16/10.63 ~in(apply(sK9_skl,sK10_skl),relation_rng(sK9_skl))),
% 0.16/10.63 inference(cnf_transformation,[status(thm)],[f107])).
% 0.16/10.63 fof(f112,plain,(
% 0.16/10.63 ![A]: ((~relation(A)|~function(A))|(![B]: (B=relation_rng(A)<=>(![C]: (in(C,B)<=>(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))))))),
% 0.16/10.63 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.16/10.63 fof(f113,plain,(
% 0.16/10.63 ![A]: ((~relation(A)|~function(A))|(![B]: ((~B=relation_rng(A)|(![C]: ((~in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))&(in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D)))))))&(B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))&(in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))))))))),
% 0.16/10.63 inference(NNF_transformation,[status(thm)],[f112])).
% 0.16/10.63 fof(f114,plain,(
% 0.16/10.63 ![A]: ((~relation(A)|~function(A))|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D)))))&(![C]: (in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))))))&(![B]: (B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))&(in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))))))))),
% 0.16/10.63 inference(miniscoping,[status(thm)],[f113])).
% 0.16/10.63 fof(f115,plain,(
% 0.16/10.63 ![A]: ((~relation(A)|~function(A))|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(in(sK11_skl(C,B,A),relation_dom(A))&C=apply(A,sK11_skl(C,B,A)))))&(![C]: (in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))))))&(![B]: (B=relation_rng(A)|((~in(sK12_skl(B,A),B)|(![D]: (~in(D,relation_dom(A))|~sK12_skl(B,A)=apply(A,D))))&(in(sK12_skl(B,A),B)|(in(sK13_skl(B,A),relation_dom(A))&sK12_skl(B,A)=apply(A,sK13_skl(B,A)))))))))),
% 0.16/10.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl]),skolemize(D,sK11_skl(C,B,A)),skolemize(C,sK12_skl(B,A)),skolemize(D,sK13_skl(B,A))],[f114])).
% 0.16/10.63 fof(f118,plain,(
% 0.16/10.63 ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~X1=relation_rng(X0)|in(X2,X1)|~in(X3,relation_dom(X0))|~X2=apply(X0,X3))),
% 0.16/10.63 inference(cnf_transformation,[status(thm)],[f115])).
% 0.16/10.63 fof(f124,plain,(
% 0.16/10.63 ![X0,X1]: (~relation(X0)|~function(X0)|in(apply(X0,X1),relation_rng(X0))|~in(X1,relation_dom(X0)))),
% 0.16/10.63 inference(destructive_equality_resolution,[status(thm)],[f118])).
% 0.16/10.63 fof(f133,plain,(
% 0.16/10.63 ~relation(sK9_skl)|~function(sK9_skl)|in(apply(sK9_skl,sK10_skl),relation_rng(sK9_skl))),
% 0.16/10.63 inference(resolution,[status(thm)],[f124,f110])).
% 0.16/10.63 fof(f134,plain,(
% 0.16/10.63 ~function(sK9_skl)|in(apply(sK9_skl,sK10_skl),relation_rng(sK9_skl))),
% 0.16/10.63 inference(forward_subsumption_resolution,[status(thm)],[f133,f108])).
% 0.16/10.64 fof(f149,plain,(
% 0.16/10.64 in(apply(sK9_skl,sK10_skl),relation_rng(sK9_skl))),
% 0.16/10.64 inference(forward_subsumption_resolution,[status(thm)],[f134,f109])).
% 0.16/10.64 fof(f150,plain,(
% 0.16/10.64 $false),
% 0.16/10.64 inference(backward_subsumption_resolution,[status(thm)],[f111,f149])).
% 0.16/10.64 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/10.66 % Elapsed time: 0.055352 seconds
% 0.16/10.66 % CPU time: 0.157077 seconds
% 0.16/10.66 % Total memory used: 48.326 MB
% 0.16/10.66 % Net memory used: 48.267 MB
%------------------------------------------------------------------------------