%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU303+2 : TPTP v9.3.1. Released v3.3.0.
% 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 02:22:16 PM UTC 2026
% Result : Theorem 5.23s 1.19s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU303+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 06:09:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.42 % Drodi V4.1.1
% 5.23/1.19 % Refutation found
% 5.23/1.19 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.23/1.19 % SZS output start CNFRefutation for theBenchmark
% 5.23/1.19 fof(f138,axiom,(
% 5.23/1.19 (! [A,B] :( ( relation(A)& function(A)& finite(B) )=> finite(relation_image(A,B)) ) )),
% 5.23/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.23/1.19 fof(f277,lemma,(
% 5.23/1.19 (! [A] :( relation(A)=> relation_image(A,relation_dom(A)) = relation_rng(A) ) )),
% 5.23/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.23/1.19 fof(f318,conjecture,(
% 5.23/1.19 (! [A] :( ( relation(A)& function(A) )=> ( finite(relation_dom(A))=> finite(relation_rng(A)) ) ) )),
% 5.23/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.23/1.19 fof(f319,negated_conjecture,(
% 5.23/1.19 ~((! [A] :( ( relation(A)& function(A) )=> ( finite(relation_dom(A))=> finite(relation_rng(A)) ) ) ))),
% 5.23/1.19 inference(negated_conjecture,[status(cth)],[f318])).
% 5.23/1.19 fof(f1031,plain,(
% 5.23/1.19 ![A,B]: (((~relation(A)|~function(A))|~finite(B))|finite(relation_image(A,B)))),
% 5.23/1.19 inference(pre_NNF_transformation,[status(thm)],[f138])).
% 5.23/1.19 fof(f1032,plain,(
% 5.23/1.19 ![X0,X1]: (~relation(X0)|~function(X0)|~finite(X1)|finite(relation_image(X0,X1)))),
% 5.23/1.19 inference(cnf_transformation,[status(thm)],[f1031])).
% 5.23/1.19 fof(f1712,plain,(
% 5.23/1.19 ![A]: (~relation(A)|relation_image(A,relation_dom(A))=relation_rng(A))),
% 5.23/1.19 inference(pre_NNF_transformation,[status(thm)],[f277])).
% 5.23/1.19 fof(f1713,plain,(
% 5.23/1.19 ![X0]: (~relation(X0)|relation_image(X0,relation_dom(X0))=relation_rng(X0))),
% 5.23/1.19 inference(cnf_transformation,[status(thm)],[f1712])).
% 5.23/1.19 fof(f1844,plain,(
% 5.23/1.19 (?[A]: ((relation(A)&function(A))&(finite(relation_dom(A))&~finite(relation_rng(A)))))),
% 5.23/1.19 inference(pre_NNF_transformation,[status(thm)],[f319])).
% 5.23/1.19 fof(f1845,plain,(
% 5.23/1.19 ((relation(sK248_skl)&function(sK248_skl))&(finite(relation_dom(sK248_skl))&~finite(relation_rng(sK248_skl))))),
% 5.23/1.19 inference(skolemize,[status(esa),new_symbols(skolem,[sK248_skl]),skolemize(A,sK248_skl)],[f1844])).
% 5.23/1.19 fof(f1846,plain,(
% 5.23/1.19 relation(sK248_skl)),
% 5.23/1.19 inference(cnf_transformation,[status(thm)],[f1845])).
% 5.23/1.19 fof(f1847,plain,(
% 5.23/1.19 function(sK248_skl)),
% 5.23/1.19 inference(cnf_transformation,[status(thm)],[f1845])).
% 5.23/1.19 fof(f1848,plain,(
% 5.23/1.19 finite(relation_dom(sK248_skl))),
% 5.23/1.19 inference(cnf_transformation,[status(thm)],[f1845])).
% 5.23/1.19 fof(f1849,plain,(
% 5.23/1.19 ~finite(relation_rng(sK248_skl))),
% 5.23/1.19 inference(cnf_transformation,[status(thm)],[f1845])).
% 5.23/1.19 fof(f4538,definition,(
% 5.23/1.19 sQ172_spl <=> (finite(relation_dom(sK248_skl)))),
% 5.23/1.19 introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition])).
% 5.23/1.19 fof(f4540,plain,(
% 5.23/1.19 ~finite(relation_dom(sK248_skl))|sQ172_spl),
% 5.23/1.19 inference(component_clause,[status(thm)],[f4538])).
% 5.23/1.19 fof(f4792,plain,(
% 5.23/1.19 relation_image(sK248_skl,relation_dom(sK248_skl))=relation_rng(sK248_skl)),
% 5.23/1.19 inference(resolution,[status(thm)],[f1713,f1846])).
% 5.23/1.19 fof(f4851,definition,(
% 5.23/1.19 sQ198_spl <=> (relation(sK248_skl))),
% 5.23/1.19 introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition])).
% 5.23/1.19 fof(f4853,plain,(
% 5.23/1.19 ~relation(sK248_skl)|sQ198_spl),
% 5.23/1.19 inference(component_clause,[status(thm)],[f4851])).
% 5.23/1.19 fof(f4858,plain,(
% 5.23/1.19 $false|sQ198_spl),
% 5.23/1.19 inference(forward_subsumption_resolution,[status(thm)],[f4853,f1846])).
% 5.23/1.19 fof(f4859,plain,(
% 5.23/1.19 sQ198_spl),
% 5.23/1.19 inference(contradiction_clause,[status(thm)],[f4858])).
% 5.23/1.19 fof(f5124,plain,(
% 5.23/1.19 ![X0]: (~relation(sK248_skl)|~finite(X0)|finite(relation_image(sK248_skl,X0)))),
% 5.23/1.19 inference(resolution,[status(thm)],[f1032,f1847])).
% 5.23/1.19 fof(f5141,definition,(
% 5.23/1.19 ![X0]: (sQ225_spl <=> (~finite(X0)|finite(relation_image(sK248_skl,X0))))),
% 5.23/1.19 introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition])).
% 5.23/1.19 fof(f5142,plain,(
% 5.23/1.19 ![X0]: (~finite(X0)|finite(relation_image(sK248_skl,X0))|~sQ225_spl)),
% 5.23/1.19 inference(component_clause,[status(thm)],[f5141])).
% 5.23/1.19 fof(f5144,plain,(
% 5.23/1.19 ~sQ198_spl|sQ225_spl),
% 5.23/1.19 inference(split_clause,[status(thm)],[f5124,f4851,f5141])).
% 5.23/1.19 fof(f5162,plain,(
% 5.23/1.19 ~finite(relation_dom(sK248_skl))|finite(relation_rng(sK248_skl))|~sQ225_spl),
% 5.23/1.19 inference(paramodulation,[status(thm)],[f4792,f5142])).
% 5.23/1.19 fof(f5163,definition,(
% 5.23/1.19 sQ227_spl <=> (finite(relation_rng(sK248_skl)))),
% 5.23/1.19 introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition])).
% 5.23/1.20 fof(f5164,plain,(
% 5.23/1.20 finite(relation_rng(sK248_skl))|~sQ227_spl),
% 5.23/1.20 inference(component_clause,[status(thm)],[f5163])).
% 5.23/1.20 fof(f5166,plain,(
% 5.23/1.20 ~sQ172_spl|sQ227_spl|~sQ225_spl),
% 5.23/1.20 inference(split_clause,[status(thm)],[f5162,f4538,f5163,f5141])).
% 5.23/1.20 fof(f5167,plain,(
% 5.23/1.20 $false|~sQ227_spl),
% 5.23/1.20 inference(forward_subsumption_resolution,[status(thm)],[f5164,f1849])).
% 5.23/1.20 fof(f5168,plain,(
% 5.23/1.20 ~sQ227_spl),
% 5.23/1.20 inference(contradiction_clause,[status(thm)],[f5167])).
% 5.23/1.20 fof(f5169,plain,(
% 5.23/1.20 $false|sQ172_spl),
% 5.23/1.20 inference(forward_subsumption_resolution,[status(thm)],[f4540,f1848])).
% 5.23/1.20 fof(f5170,plain,(
% 5.23/1.20 sQ172_spl),
% 5.23/1.20 inference(contradiction_clause,[status(thm)],[f5169])).
% 5.23/1.20 fof(f5171,plain,(
% 5.23/1.20 $false),
% 5.23/1.20 inference(sat_refutation,[status(thm)],[f4859,f5144,f5166,f5168,f5170])).
% 5.23/1.20 % SZS output end CNFRefutation for theBenchmark.p
% 5.23/1.20 % Elapsed time: 0.831721 seconds
% 5.23/1.20 % CPU time: 6.070799 seconds
% 5.23/1.20 % Total memory used: 229.799 MB
% 5.23/1.20 % Net memory used: 219.164 MB
%------------------------------------------------------------------------------