%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU303+1 : 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 : n008.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 0.18s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU303+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n008.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 06:10:23 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.47 % Refutation found
% 0.18/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.47 fof(f4,axiom,(
% 0.18/0.47 (! [A,B] :( ( relation(A)& function(A)& finite(B) )=> finite(relation_image(A,B)) ) )),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f6,axiom,(
% 0.18/0.47 (! [A] :( relation(A)=> relation_image(A,relation_dom(A)) = relation_rng(A) ) )),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f8,conjecture,(
% 0.18/0.47 (! [A] :( ( relation(A)& function(A) )=> ( finite(relation_dom(A))=> finite(relation_rng(A)) ) ) )),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f9,negated_conjecture,(
% 0.18/0.47 ~((! [A] :( ( relation(A)& function(A) )=> ( finite(relation_dom(A))=> finite(relation_rng(A)) ) ) ))),
% 0.18/0.47 inference(negated_conjecture,[status(cth)],[f8])).
% 0.18/0.47 fof(f10,plain,(
% 0.18/0.47 ![A,B]: (((~relation(A)|~function(A))|~finite(B))|finite(relation_image(A,B)))),
% 0.18/0.47 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.18/0.47 fof(f11,plain,(
% 0.18/0.47 ![X0,X1]: (~relation(X0)|~function(X0)|~finite(X1)|finite(relation_image(X0,X1)))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f10])).
% 0.18/0.47 fof(f15,plain,(
% 0.18/0.47 ![A]: (~relation(A)|relation_image(A,relation_dom(A))=relation_rng(A))),
% 0.18/0.47 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.18/0.47 fof(f16,plain,(
% 0.18/0.47 ![X0]: (~relation(X0)|relation_image(X0,relation_dom(X0))=relation_rng(X0))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f15])).
% 0.18/0.47 fof(f20,plain,(
% 0.18/0.47 (?[A]: ((relation(A)&function(A))&(finite(relation_dom(A))&~finite(relation_rng(A)))))),
% 0.18/0.47 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.18/0.47 fof(f21,plain,(
% 0.18/0.47 ((relation(sK1_skl)&function(sK1_skl))&(finite(relation_dom(sK1_skl))&~finite(relation_rng(sK1_skl))))),
% 0.18/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(A,sK1_skl)],[f20])).
% 0.18/0.47 fof(f22,plain,(
% 0.18/0.47 relation(sK1_skl)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f21])).
% 0.18/0.47 fof(f23,plain,(
% 0.18/0.47 function(sK1_skl)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f21])).
% 0.18/0.47 fof(f24,plain,(
% 0.18/0.47 finite(relation_dom(sK1_skl))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f21])).
% 0.18/0.47 fof(f25,plain,(
% 0.18/0.47 ~finite(relation_rng(sK1_skl))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f21])).
% 0.18/0.47 fof(f26,plain,(
% 0.18/0.47 relation_image(sK1_skl,relation_dom(sK1_skl))=relation_rng(sK1_skl)),
% 0.18/0.47 inference(resolution,[status(thm)],[f16,f22])).
% 0.18/0.47 fof(f28,plain,(
% 0.18/0.47 ~relation(sK1_skl)|~function(sK1_skl)|~finite(relation_dom(sK1_skl))|finite(relation_rng(sK1_skl))),
% 0.18/0.47 inference(paramodulation,[status(thm)],[f26,f11])).
% 0.18/0.47 fof(f29,plain,(
% 0.18/0.47 ~function(sK1_skl)|~finite(relation_dom(sK1_skl))|finite(relation_rng(sK1_skl))),
% 0.18/0.47 inference(forward_subsumption_resolution,[status(thm)],[f28,f22])).
% 0.18/0.47 fof(f32,plain,(
% 0.18/0.47 ~finite(relation_dom(sK1_skl))|finite(relation_rng(sK1_skl))),
% 0.18/0.47 inference(forward_subsumption_resolution,[status(thm)],[f29,f23])).
% 0.18/0.47 fof(f33,plain,(
% 0.18/0.47 ~finite(relation_dom(sK1_skl))),
% 0.18/0.47 inference(resolution,[status(thm)],[f32,f25])).
% 0.18/0.47 fof(f34,plain,(
% 0.18/0.47 $false),
% 0.18/0.47 inference(forward_subsumption_resolution,[status(thm)],[f33,f24])).
% 0.18/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.50 % Elapsed time: 0.060561 seconds
% 0.18/0.50 % CPU time: 0.158171 seconds
% 0.18/0.50 % Total memory used: 44.072 MB
% 0.18/0.50 % Net memory used: 43.562 MB
%------------------------------------------------------------------------------