%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU219+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 02:22:02 PM UTC 2026
% Result : Theorem 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU219+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % 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 05:59:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f1,axiom,(
% 0.09/0.41 (! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> function_inverse(A) = relation_inverse(A) ) ) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f3,axiom,(
% 0.09/0.41 (! [A] :( ( relation(A)& function(A) )=> ( relation(function_inverse(A))& function(function_inverse(A)) ) ) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f7,axiom,(
% 0.09/0.41 (! [A] :( relation(A)=> relation_inverse(relation_inverse(A)) = A ) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f10,axiom,(
% 0.09/0.41 (! [A] :( relation(A)=> ( relation_rng(A) = relation_dom(relation_inverse(A))& relation_dom(A) = relation_rng(relation_inverse(A)) ) ) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f11,conjecture,(
% 0.09/0.41 (! [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)) ) ) ) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f12,negated_conjecture,(
% 0.09/0.41 ~((! [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)) ) ) ) ))),
% 0.09/0.41 inference(negated_conjecture,[status(cth)],[f11])).
% 0.09/0.41 fof(f13,plain,(
% 0.09/0.41 ![A]: ((~relation(A)|~function(A))|(~one_to_one(A)|function_inverse(A)=relation_inverse(A)))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.09/0.41 fof(f14,plain,(
% 0.09/0.41 ![X0]: (~relation(X0)|~function(X0)|~one_to_one(X0)|function_inverse(X0)=relation_inverse(X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.41 fof(f15,plain,(
% 0.09/0.41 ![A]: ((~relation(A)|~function(A))|(relation(function_inverse(A))&function(function_inverse(A))))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/0.41 fof(f16,plain,(
% 0.09/0.41 ![X0]: (~relation(X0)|~function(X0)|relation(function_inverse(X0)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.41 fof(f23,plain,(
% 0.09/0.41 ![A]: (~relation(A)|relation_inverse(relation_inverse(A))=A)),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.09/0.41 fof(f24,plain,(
% 0.09/0.41 ![X0]: (~relation(X0)|relation_inverse(relation_inverse(X0))=X0)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.41 fof(f32,plain,(
% 0.09/0.41 ![A]: (~relation(A)|(relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.09/0.41 fof(f33,plain,(
% 0.09/0.41 ![X0]: (~relation(X0)|relation_rng(X0)=relation_dom(relation_inverse(X0)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.41 fof(f35,plain,(
% 0.09/0.41 (?[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))))))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.09/0.41 fof(f36,plain,(
% 0.09/0.41 ((relation(sK2_skl)&function(sK2_skl))&(one_to_one(sK2_skl)&(~relation_rng(sK2_skl)=relation_dom(function_inverse(sK2_skl))|~relation_dom(sK2_skl)=relation_rng(function_inverse(sK2_skl)))))),
% 0.09/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(A,sK2_skl)],[f35])).
% 0.09/0.41 fof(f37,plain,(
% 0.09/0.41 relation(sK2_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.41 fof(f38,plain,(
% 0.09/0.41 function(sK2_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.41 fof(f39,plain,(
% 0.09/0.41 one_to_one(sK2_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.41 fof(f40,plain,(
% 0.09/0.41 ~relation_rng(sK2_skl)=relation_dom(function_inverse(sK2_skl))|~relation_dom(sK2_skl)=relation_rng(function_inverse(sK2_skl))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.41 fof(f41,plain,(
% 0.09/0.41 ~relation(sK2_skl)|~one_to_one(sK2_skl)|function_inverse(sK2_skl)=relation_inverse(sK2_skl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f14,f38])).
% 0.09/0.41 fof(f42,plain,(
% 0.09/0.41 ~one_to_one(sK2_skl)|function_inverse(sK2_skl)=relation_inverse(sK2_skl)),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f41,f37])).
% 0.09/0.41 fof(f49,plain,(
% 0.09/0.41 function_inverse(sK2_skl)=relation_inverse(sK2_skl)),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f42,f39])).
% 0.09/0.41 fof(f53,plain,(
% 0.09/0.41 ~relation_rng(sK2_skl)=relation_dom(relation_inverse(sK2_skl))|~relation_dom(sK2_skl)=relation_rng(function_inverse(sK2_skl))),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f49,f40])).
% 0.09/0.41 fof(f54,plain,(
% 0.09/0.41 ~relation_rng(sK2_skl)=relation_dom(relation_inverse(sK2_skl))|~relation_dom(sK2_skl)=relation_rng(relation_inverse(sK2_skl))),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f49,f53])).
% 0.09/0.41 fof(f60,plain,(
% 0.09/0.41 ![X0]: (relation_rng(function_inverse(X0))=relation_dom(relation_inverse(function_inverse(X0)))|~relation(X0)|~function(X0))),
% 0.09/0.41 inference(resolution,[status(thm)],[f33,f16])).
% 0.09/0.41 fof(f61,plain,(
% 0.09/0.41 relation_rng(sK2_skl)=relation_dom(relation_inverse(sK2_skl))),
% 0.09/0.41 inference(resolution,[status(thm)],[f33,f37])).
% 0.09/0.41 fof(f77,plain,(
% 0.09/0.41 relation_inverse(relation_inverse(sK2_skl))=sK2_skl),
% 0.09/0.41 inference(resolution,[status(thm)],[f24,f37])).
% 0.09/0.41 fof(f88,plain,(
% 0.09/0.41 ~relation_rng(sK2_skl)=relation_rng(sK2_skl)|~relation_dom(sK2_skl)=relation_rng(relation_inverse(sK2_skl))),
% 0.09/0.41 inference(backward_demodulation,[status(thm)],[f61,f54])).
% 0.09/0.41 fof(f89,plain,(
% 0.09/0.41 ~relation_dom(sK2_skl)=relation_rng(relation_inverse(sK2_skl))),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f88])).
% 0.09/0.41 fof(f94,plain,(
% 0.09/0.41 relation_rng(function_inverse(sK2_skl))=relation_dom(relation_inverse(function_inverse(sK2_skl)))|~function(sK2_skl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f60,f37])).
% 0.09/0.41 fof(f98,plain,(
% 0.09/0.41 relation_rng(relation_inverse(sK2_skl))=relation_dom(relation_inverse(function_inverse(sK2_skl)))|~function(sK2_skl)),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f49,f94])).
% 0.09/0.41 fof(f99,plain,(
% 0.09/0.41 relation_rng(relation_inverse(sK2_skl))=relation_dom(relation_inverse(relation_inverse(sK2_skl)))|~function(sK2_skl)),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f49,f98])).
% 0.09/0.41 fof(f100,plain,(
% 0.09/0.41 relation_rng(relation_inverse(sK2_skl))=relation_dom(sK2_skl)|~function(sK2_skl)),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f77,f99])).
% 0.09/0.41 fof(f101,plain,(
% 0.09/0.41 ~function(sK2_skl)),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f100,f89])).
% 0.09/0.41 fof(f102,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f101,f38])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.46 % Elapsed time: 0.083557 seconds
% 0.09/0.46 % CPU time: 0.098283 seconds
% 0.09/0.46 % Total memory used: 2.901 MB
% 0.09/0.46 % Net memory used: 2.897 MB
%------------------------------------------------------------------------------