%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU219+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 : n026.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 02:22:02 PM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU219+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 06:02:23 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f5,axiom,(
% 0.11/0.40 (! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> function_inverse(A) = relation_inverse(A) ) ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f6,axiom,(
% 0.11/0.40 (! [A] :( ( relation(A)& function(A) )=> ( relation(function_inverse(A))& function(function_inverse(A)) ) ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f19,axiom,(
% 0.11/0.40 (! [A] :( relation(A)=> relation_inverse(relation_inverse(A)) = A ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f33,axiom,(
% 0.11/0.40 (! [A] :( relation(A)=> ( relation_rng(A) = relation_dom(relation_inverse(A))& relation_dom(A) = relation_rng(relation_inverse(A)) ) ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f36,conjecture,(
% 0.11/0.40 (! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> ( relation_rng(A) = relation_dom(function_inverse(A))& relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f37,negated_conjecture,(
% 0.11/0.40 ~((! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> ( relation_rng(A) = relation_dom(function_inverse(A))& relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) ))),
% 0.11/0.40 inference(negated_conjecture,[status(cth)],[f36])).
% 0.11/0.40 fof(f52,plain,(
% 0.11/0.40 ![A]: ((~relation(A)|~function(A))|(~one_to_one(A)|function_inverse(A)=relation_inverse(A)))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.11/0.40 fof(f53,plain,(
% 0.11/0.40 ![X0]: (~relation(X0)|~function(X0)|~one_to_one(X0)|function_inverse(X0)=relation_inverse(X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f52])).
% 0.11/0.40 fof(f54,plain,(
% 0.11/0.40 ![A]: ((~relation(A)|~function(A))|(relation(function_inverse(A))&function(function_inverse(A))))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.11/0.40 fof(f55,plain,(
% 0.11/0.40 ![X0]: (~relation(X0)|~function(X0)|relation(function_inverse(X0)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f54])).
% 0.11/0.40 fof(f84,plain,(
% 0.11/0.40 ![A]: (~relation(A)|relation_inverse(relation_inverse(A))=A)),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.11/0.40 fof(f85,plain,(
% 0.11/0.40 ![X0]: (~relation(X0)|relation_inverse(relation_inverse(X0))=X0)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f84])).
% 0.11/0.40 fof(f123,plain,(
% 0.11/0.40 ![A]: (~relation(A)|(relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.11/0.40 fof(f124,plain,(
% 0.11/0.40 ![X0]: (~relation(X0)|relation_rng(X0)=relation_dom(relation_inverse(X0)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f123])).
% 0.11/0.40 fof(f133,plain,(
% 0.11/0.40 (?[A]: ((relation(A)&function(A))&(one_to_one(A)&(~relation_rng(A)=relation_dom(function_inverse(A))|~relation_dom(A)=relation_rng(function_inverse(A))))))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.11/0.40 fof(f134,plain,(
% 0.11/0.40 ((relation(sK11_skl)&function(sK11_skl))&(one_to_one(sK11_skl)&(~relation_rng(sK11_skl)=relation_dom(function_inverse(sK11_skl))|~relation_dom(sK11_skl)=relation_rng(function_inverse(sK11_skl)))))),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(A,sK11_skl)],[f133])).
% 0.11/0.40 fof(f135,plain,(
% 0.11/0.40 relation(sK11_skl)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f134])).
% 0.11/0.40 fof(f136,plain,(
% 0.11/0.40 function(sK11_skl)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f134])).
% 0.11/0.40 fof(f137,plain,(
% 0.11/0.40 one_to_one(sK11_skl)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f134])).
% 0.11/0.40 fof(f138,plain,(
% 0.11/0.40 ~relation_rng(sK11_skl)=relation_dom(function_inverse(sK11_skl))|~relation_dom(sK11_skl)=relation_rng(function_inverse(sK11_skl))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f134])).
% 0.11/0.40 fof(f152,plain,(
% 0.11/0.40 ~relation(sK11_skl)|~function(sK11_skl)|function_inverse(sK11_skl)=relation_inverse(sK11_skl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f53,f137])).
% 0.11/0.40 fof(f154,plain,(
% 0.11/0.40 ~function(sK11_skl)|function_inverse(sK11_skl)=relation_inverse(sK11_skl)),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f152,f135])).
% 0.11/0.40 fof(f157,plain,(
% 0.11/0.40 ~function(sK11_skl)|relation(function_inverse(sK11_skl))),
% 0.11/0.40 inference(resolution,[status(thm)],[f55,f135])).
% 0.11/0.40 fof(f158,plain,(
% 0.11/0.40 relation(function_inverse(sK11_skl))),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f157,f136])).
% 0.11/0.40 fof(f172,plain,(
% 0.11/0.40 function_inverse(sK11_skl)=relation_inverse(sK11_skl)),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f154,f136])).
% 0.11/0.40 fof(f186,plain,(
% 0.11/0.40 relation_inverse(relation_inverse(sK11_skl))=sK11_skl),
% 0.11/0.40 inference(resolution,[status(thm)],[f85,f135])).
% 0.11/0.40 fof(f187,plain,(
% 0.11/0.40 relation_inverse(function_inverse(sK11_skl))=sK11_skl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f172,f186])).
% 0.11/0.40 fof(f208,plain,(
% 0.11/0.40 relation_rng(function_inverse(sK11_skl))=relation_dom(relation_inverse(function_inverse(sK11_skl)))),
% 0.11/0.40 inference(resolution,[status(thm)],[f124,f158])).
% 0.11/0.40 fof(f210,plain,(
% 0.11/0.40 relation_rng(sK11_skl)=relation_dom(relation_inverse(sK11_skl))),
% 0.11/0.40 inference(resolution,[status(thm)],[f124,f135])).
% 0.11/0.40 fof(f211,plain,(
% 0.11/0.40 relation_rng(function_inverse(sK11_skl))=relation_dom(sK11_skl)),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f187,f208])).
% 0.11/0.40 fof(f212,plain,(
% 0.11/0.40 relation_rng(sK11_skl)=relation_dom(function_inverse(sK11_skl))),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f172,f210])).
% 0.11/0.40 fof(f267,plain,(
% 0.11/0.40 ~relation_rng(sK11_skl)=relation_rng(sK11_skl)|~relation_dom(sK11_skl)=relation_rng(function_inverse(sK11_skl))),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f212,f138])).
% 0.11/0.40 fof(f269,plain,(
% 0.11/0.40 ~relation_dom(sK11_skl)=relation_rng(function_inverse(sK11_skl))),
% 0.11/0.40 inference(trivial_equality_resolution,[status(thm)],[f267])).
% 0.11/0.40 fof(f338,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f211,f269])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.054902 seconds
% 0.11/0.42 % CPU time: 0.158527 seconds
% 0.11/0.42 % Total memory used: 81.932 MB
% 0.11/0.42 % Net memory used: 81.892 MB
%------------------------------------------------------------------------------