%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU303+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 : n005.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 02:22:16 PM UTC 2026
% Result : Theorem 0.14s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU303+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
% 0.09/5.37 % Computer : n005.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 06:09:23 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.39 % Drodi V4.1.1
% 0.14/5.41 % Refutation found
% 0.14/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.41 fof(f15,axiom,(
% 0.14/5.41 (! [A,B] :( ( relation(A)& function(A)& finite(B) )=> finite(relation_image(A,B)) ) )),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f53,axiom,(
% 0.14/5.41 (! [A] :( relation(A)=> relation_image(A,relation_dom(A)) = relation_rng(A) ) )),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f56,conjecture,(
% 0.14/5.41 (! [A] :( ( relation(A)& function(A) )=> ( finite(relation_dom(A))=> finite(relation_rng(A)) ) ) )),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f57,negated_conjecture,(
% 0.14/5.41 ~((! [A] :( ( relation(A)& function(A) )=> ( finite(relation_dom(A))=> finite(relation_rng(A)) ) ) ))),
% 0.14/5.41 inference(negated_conjecture,[status(cth)],[f56])).
% 0.14/5.41 fof(f107,plain,(
% 0.14/5.41 ![A,B]: (((~relation(A)|~function(A))|~finite(B))|finite(relation_image(A,B)))),
% 0.14/5.41 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.14/5.41 fof(f108,plain,(
% 0.14/5.41 ![X0,X1]: (~relation(X0)|~function(X0)|~finite(X1)|finite(relation_image(X0,X1)))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f107])).
% 0.14/5.41 fof(f252,plain,(
% 0.14/5.41 ![A]: (~relation(A)|relation_image(A,relation_dom(A))=relation_rng(A))),
% 0.14/5.41 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.14/5.41 fof(f253,plain,(
% 0.14/5.41 ![X0]: (~relation(X0)|relation_image(X0,relation_dom(X0))=relation_rng(X0))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f252])).
% 0.14/5.41 fof(f259,plain,(
% 0.14/5.41 (?[A]: ((relation(A)&function(A))&(finite(relation_dom(A))&~finite(relation_rng(A)))))),
% 0.14/5.41 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.14/5.41 fof(f260,plain,(
% 0.14/5.41 ((relation(sK26_skl)&function(sK26_skl))&(finite(relation_dom(sK26_skl))&~finite(relation_rng(sK26_skl))))),
% 0.14/5.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl]),skolemize(A,sK26_skl)],[f259])).
% 0.14/5.41 fof(f261,plain,(
% 0.14/5.41 relation(sK26_skl)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f260])).
% 0.14/5.41 fof(f262,plain,(
% 0.14/5.41 function(sK26_skl)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f260])).
% 0.14/5.41 fof(f263,plain,(
% 0.14/5.41 finite(relation_dom(sK26_skl))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f260])).
% 0.14/5.41 fof(f264,plain,(
% 0.14/5.41 ~finite(relation_rng(sK26_skl))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f260])).
% 0.14/5.41 fof(f380,plain,(
% 0.14/5.41 ![X0]: (~function(sK26_skl)|~finite(X0)|finite(relation_image(sK26_skl,X0)))),
% 0.14/5.41 inference(resolution,[status(thm)],[f108,f261])).
% 0.14/5.41 fof(f384,plain,(
% 0.14/5.41 ![X0]: (~finite(X0)|finite(relation_image(sK26_skl,X0)))),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f380,f262])).
% 0.14/5.41 fof(f387,plain,(
% 0.14/5.41 finite(relation_image(sK26_skl,relation_dom(sK26_skl)))),
% 0.14/5.41 inference(resolution,[status(thm)],[f384,f263])).
% 0.14/5.41 fof(f941,plain,(
% 0.14/5.41 relation_image(sK26_skl,relation_dom(sK26_skl))=relation_rng(sK26_skl)),
% 0.14/5.41 inference(resolution,[status(thm)],[f253,f261])).
% 0.14/5.41 fof(f969,plain,(
% 0.14/5.41 finite(relation_rng(sK26_skl))),
% 0.14/5.41 inference(backward_demodulation,[status(thm)],[f941,f387])).
% 0.14/5.41 fof(f970,plain,(
% 0.14/5.41 $false),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f969,f264])).
% 0.14/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.44 % Elapsed time: 0.056154 seconds
% 0.14/5.44 % CPU time: 0.184689 seconds
% 0.14/5.44 % Total memory used: 57.280 MB
% 0.14/5.44 % Net memory used: 57.038 MB
%------------------------------------------------------------------------------