%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU223+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 02:22:03 PM UTC 2026
% Result : Theorem 0.14s 21.06s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU223+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/21.01 % Computer : n013.cluster.edu
% 0.10/21.01 % Model : x86_64 x86_64
% 0.10/21.01 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/21.01 % Memory : 8046.5625MB
% 0.10/21.01 % OS : Linux 6.8.0-71-generic
% 0.10/21.01 % CPULimit : 300
% 0.10/21.01 % WCLimit : 300
% 0.10/21.01 % DateTime : Mon Sep 21 06:00:01 UTC 2026
% 0.10/21.02 % CPUTime :
% 0.14/21.03 % Drodi V4.1.1
% 0.14/21.06 % Refutation found
% 0.14/21.06 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/21.06 % SZS output start CNFRefutation for theBenchmark
% 0.14/21.06 fof(f23,axiom,(
% 0.14/21.06 (! [A,B] :( relation(A)=> relation(relation_dom_restriction(A,B)) ) )),
% 0.14/21.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/21.06 fof(f24,axiom,(
% 0.14/21.06 (! [A,B] :( ( relation(A)& function(A) )=> ( relation(relation_dom_restriction(A,B))& function(relation_dom_restriction(A,B)) ) ) )),
% 0.14/21.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/21.06 fof(f38,conjecture,(
% 0.14/21.06 (! [A,B,C] :( ( relation(C)& function(C) )=> ( in(B,relation_dom(relation_dom_restriction(C,A)))=> apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) )),
% 0.14/21.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/21.06 fof(f39,negated_conjecture,(
% 0.14/21.06 ~((! [A,B,C] :( ( relation(C)& function(C) )=> ( in(B,relation_dom(relation_dom_restriction(C,A)))=> apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) ))),
% 0.14/21.06 inference(negated_conjecture,[status(cth)],[f38])).
% 0.14/21.06 fof(f40,axiom,(
% 0.14/21.06 (! [A,B] :( ( relation(B)& function(B) )=> (! [C] :( ( relation(C)& function(C) )=> ( B = relation_dom_restriction(C,A)<=> ( relation_dom(B) = set_intersection2(relation_dom(C),A)& (! [D] :( in(D,relation_dom(B))=> apply(B,D) = apply(C,D) ) )) ) ) )) )),
% 0.14/21.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/21.06 fof(f92,plain,(
% 0.14/21.06 ![A,B]: (~relation(A)|relation(relation_dom_restriction(A,B)))),
% 0.14/21.06 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.14/21.06 fof(f93,plain,(
% 0.14/21.06 ![A]: (~relation(A)|(![B]: relation(relation_dom_restriction(A,B))))),
% 0.14/21.06 inference(miniscoping,[status(thm)],[f92])).
% 0.14/21.06 fof(f94,plain,(
% 0.14/21.06 ![X0,X1]: (~relation(X0)|relation(relation_dom_restriction(X0,X1)))),
% 0.14/21.06 inference(cnf_transformation,[status(thm)],[f93])).
% 0.14/21.06 fof(f95,plain,(
% 0.14/21.06 ![A,B]: ((~relation(A)|~function(A))|(relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))))),
% 0.14/21.06 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.14/21.06 fof(f96,plain,(
% 0.14/21.06 ![A]: ((~relation(A)|~function(A))|((![B]: relation(relation_dom_restriction(A,B)))&(![B]: function(relation_dom_restriction(A,B)))))),
% 0.14/21.06 inference(miniscoping,[status(thm)],[f95])).
% 0.14/21.06 fof(f98,plain,(
% 0.14/21.06 ![X0,X1]: (~relation(X0)|~function(X0)|function(relation_dom_restriction(X0,X1)))),
% 0.14/21.06 inference(cnf_transformation,[status(thm)],[f96])).
% 0.14/21.06 fof(f137,plain,(
% 0.14/21.06 (?[A,B,C]: ((relation(C)&function(C))&(in(B,relation_dom(relation_dom_restriction(C,A)))&~apply(relation_dom_restriction(C,A),B)=apply(C,B))))),
% 0.14/21.06 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.14/21.06 fof(f138,plain,(
% 0.14/21.06 ?[C]: ((relation(C)&function(C))&(?[A,B]: (in(B,relation_dom(relation_dom_restriction(C,A)))&~apply(relation_dom_restriction(C,A),B)=apply(C,B))))),
% 0.14/21.06 inference(miniscoping,[status(thm)],[f137])).
% 0.14/21.06 fof(f139,plain,(
% 0.14/21.06 ((relation(sK11_skl)&function(sK11_skl))&(in(sK13_skl,relation_dom(relation_dom_restriction(sK11_skl,sK12_skl)))&~apply(relation_dom_restriction(sK11_skl,sK12_skl),sK13_skl)=apply(sK11_skl,sK13_skl)))),
% 0.14/21.06 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl]),skolemize(C,sK11_skl),skolemize(A,sK12_skl),skolemize(B,sK13_skl)],[f138])).
% 0.14/21.06 fof(f140,plain,(
% 0.14/21.06 relation(sK11_skl)),
% 0.14/21.06 inference(cnf_transformation,[status(thm)],[f139])).
% 0.14/21.06 fof(f141,plain,(
% 0.14/21.06 function(sK11_skl)),
% 0.14/21.06 inference(cnf_transformation,[status(thm)],[f139])).
% 0.14/21.06 fof(f142,plain,(
% 0.14/21.06 in(sK13_skl,relation_dom(relation_dom_restriction(sK11_skl,sK12_skl)))),
% 0.14/21.06 inference(cnf_transformation,[status(thm)],[f139])).
% 0.14/21.06 fof(f143,plain,(
% 0.14/21.06 ~apply(relation_dom_restriction(sK11_skl,sK12_skl),sK13_skl)=apply(sK11_skl,sK13_skl)),
% 0.14/21.06 inference(cnf_transformation,[status(thm)],[f139])).
% 0.14/21.06 fof(f144,plain,(
% 0.14/21.06 ![A,B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|(B=relation_dom_restriction(C,A)<=>(relation_dom(B)=set_intersection2(relation_dom(C),A)&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D))))))))),
% 0.14/21.06 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.14/21.06 fof(f145,plain,(
% 0.14/21.06 ![A,B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|((~B=relation_dom_restriction(C,A)|(relation_dom(B)=set_intersection2(relation_dom(C),A)&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D)))))&(B=relation_dom_restriction(C,A)|(~relation_dom(B)=set_intersection2(relation_dom(C),A)|(?[D]: (in(D,relation_dom(B))&~apply(B,D)=apply(C,D)))))))))),
% 0.14/21.06 inference(NNF_transformation,[status(thm)],[f144])).
% 0.14/21.06 fof(f146,plain,(
% 0.14/21.06 ![B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|((![A]: (~B=relation_dom_restriction(C,A)|(relation_dom(B)=set_intersection2(relation_dom(C),A)&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D))))))&(![A]: (B=relation_dom_restriction(C,A)|(~relation_dom(B)=set_intersection2(relation_dom(C),A)|(?[D]: (in(D,relation_dom(B))&~apply(B,D)=apply(C,D))))))))))),
% 0.14/21.06 inference(miniscoping,[status(thm)],[f145])).
% 0.14/21.06 fof(f147,plain,(
% 0.14/21.06 ![B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|((![A]: (~B=relation_dom_restriction(C,A)|(relation_dom(B)=set_intersection2(relation_dom(C),A)&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D))))))&(![A]: (B=relation_dom_restriction(C,A)|(~relation_dom(B)=set_intersection2(relation_dom(C),A)|(in(sK14_skl(A,C,B),relation_dom(B))&~apply(B,sK14_skl(A,C,B))=apply(C,sK14_skl(A,C,B))))))))))),
% 0.14/21.06 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl]),skolemize(D,sK14_skl(A,C,B))],[f146])).
% 0.14/21.06 fof(f149,plain,(
% 0.14/21.06 ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|~X0=relation_dom_restriction(X1,X2)|~in(X3,relation_dom(X0))|apply(X0,X3)=apply(X1,X3))),
% 0.14/21.06 inference(cnf_transformation,[status(thm)],[f147])).
% 0.14/21.06 fof(f153,plain,(
% 0.14/21.06 ![X0,X1,X2]: (~relation(relation_dom_restriction(X0,X1))|~function(relation_dom_restriction(X0,X1))|~relation(X0)|~function(X0)|~in(X2,relation_dom(relation_dom_restriction(X0,X1)))|apply(relation_dom_restriction(X0,X1),X2)=apply(X0,X2))),
% 0.14/21.06 inference(destructive_equality_resolution,[status(thm)],[f149])).
% 0.14/21.06 fof(f168,plain,(
% 0.14/21.06 ![X0,X1,X2]: (~function(relation_dom_restriction(X0,X1))|~relation(X0)|~function(X0)|~in(X2,relation_dom(relation_dom_restriction(X0,X1)))|apply(relation_dom_restriction(X0,X1),X2)=apply(X0,X2))),
% 0.14/21.06 inference(forward_subsumption_resolution,[status(thm)],[f153,f94])).
% 0.14/21.06 fof(f169,plain,(
% 0.14/21.06 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~in(X1,relation_dom(relation_dom_restriction(X0,X2)))|apply(relation_dom_restriction(X0,X2),X1)=apply(X0,X1)|~relation(X0)|~function(X0))),
% 0.14/21.06 inference(resolution,[status(thm)],[f168,f98])).
% 0.14/21.06 fof(f171,plain,(
% 0.14/21.06 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~in(X1,relation_dom(relation_dom_restriction(X0,X2)))|apply(relation_dom_restriction(X0,X2),X1)=apply(X0,X1))),
% 0.14/21.06 inference(duplicate_literals_removal,[status(thm)],[f169])).
% 0.14/21.06 fof(f175,plain,(
% 0.14/21.06 ~relation(sK11_skl)|~function(sK11_skl)|apply(relation_dom_restriction(sK11_skl,sK12_skl),sK13_skl)=apply(sK11_skl,sK13_skl)),
% 0.14/21.06 inference(resolution,[status(thm)],[f171,f142])).
% 0.14/21.06 fof(f177,plain,(
% 0.14/21.06 ~function(sK11_skl)|apply(relation_dom_restriction(sK11_skl,sK12_skl),sK13_skl)=apply(sK11_skl,sK13_skl)),
% 0.14/21.06 inference(forward_subsumption_resolution,[status(thm)],[f175,f140])).
% 0.14/21.06 fof(f204,plain,(
% 0.14/21.06 ~apply(sK11_skl,sK13_skl)=apply(sK11_skl,sK13_skl)),
% 0.14/21.06 inference(backward_demodulation,[status(thm)],[f205,f143])).
% 0.14/21.06 fof(f205,plain,(
% 0.14/21.06 apply(relation_dom_restriction(sK11_skl,sK12_skl),sK13_skl)=apply(sK11_skl,sK13_skl)),
% 0.14/21.06 inference(forward_subsumption_resolution,[status(thm)],[f177,f141])).
% 0.14/21.06 fof(f206,plain,(
% 0.14/21.06 $false),
% 0.14/21.06 inference(trivial_equality_resolution,[status(thm)],[f204])).
% 0.14/21.06 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/21.09 % Elapsed time: 0.059963 seconds
% 0.14/21.09 % CPU time: 0.151128 seconds
% 0.14/21.09 % Total memory used: 103.262 MB
% 0.14/21.09 % Net memory used: 103.198 MB
%------------------------------------------------------------------------------