%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU010+1 : 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 : n009.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 02:21:34 PM UTC 2026
% Result : Theorem 0.16s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU010+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n009.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 05:46:57 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.49 % Refutation found
% 0.16/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.49 fof(f22,axiom,(
% 0.16/0.49 (! [A,B] : subset(A,A) )),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f36,conjecture,(
% 0.16/0.49 (! [A] :( ( relation(A)& function(A) )=> ( relation_composition(identity_relation(relation_dom(A)),A) = A& relation_composition(A,identity_relation(relation_rng(A))) = A ) ) )),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f37,negated_conjecture,(
% 0.16/0.49 ~((! [A] :( ( relation(A)& function(A) )=> ( relation_composition(identity_relation(relation_dom(A)),A) = A& relation_composition(A,identity_relation(relation_rng(A))) = A ) ) ))),
% 0.16/0.49 inference(negated_conjecture,[status(cth)],[f36])).
% 0.16/0.49 fof(f38,axiom,(
% 0.16/0.49 (! [A,B] :( relation(B)=> ( subset(relation_dom(B),A)=> relation_composition(identity_relation(A),B) = B ) ) )),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f39,axiom,(
% 0.16/0.49 (! [A,B] :( relation(B)=> ( subset(relation_rng(B),A)=> relation_composition(B,identity_relation(A)) = B ) ) )),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f89,plain,(
% 0.16/0.49 ![A]: subset(A,A)),
% 0.16/0.49 inference(miniscoping,[status(thm)],[f22])).
% 0.16/0.49 fof(f90,plain,(
% 0.16/0.49 ![X0]: (subset(X0,X0))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f89])).
% 0.16/0.49 fof(f127,plain,(
% 0.16/0.49 (?[A]: ((relation(A)&function(A))&(~relation_composition(identity_relation(relation_dom(A)),A)=A|~relation_composition(A,identity_relation(relation_rng(A)))=A)))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.16/0.49 fof(f128,plain,(
% 0.16/0.49 ((relation(sK9_skl)&function(sK9_skl))&(~relation_composition(identity_relation(relation_dom(sK9_skl)),sK9_skl)=sK9_skl|~relation_composition(sK9_skl,identity_relation(relation_rng(sK9_skl)))=sK9_skl))),
% 0.16/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(A,sK9_skl)],[f127])).
% 0.16/0.49 fof(f129,plain,(
% 0.16/0.49 relation(sK9_skl)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f128])).
% 0.16/0.49 fof(f131,plain,(
% 0.16/0.49 ~relation_composition(identity_relation(relation_dom(sK9_skl)),sK9_skl)=sK9_skl|~relation_composition(sK9_skl,identity_relation(relation_rng(sK9_skl)))=sK9_skl),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f128])).
% 0.16/0.49 fof(f132,plain,(
% 0.16/0.49 ![A,B]: (~relation(B)|(~subset(relation_dom(B),A)|relation_composition(identity_relation(A),B)=B))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.16/0.49 fof(f133,plain,(
% 0.16/0.49 ![B]: (~relation(B)|(![A]: (~subset(relation_dom(B),A)|relation_composition(identity_relation(A),B)=B)))),
% 0.16/0.49 inference(miniscoping,[status(thm)],[f132])).
% 0.16/0.49 fof(f134,plain,(
% 0.16/0.49 ![X0,X1]: (~relation(X0)|~subset(relation_dom(X0),X1)|relation_composition(identity_relation(X1),X0)=X0)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f133])).
% 0.16/0.49 fof(f135,plain,(
% 0.16/0.49 ![A,B]: (~relation(B)|(~subset(relation_rng(B),A)|relation_composition(B,identity_relation(A))=B))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.16/0.49 fof(f136,plain,(
% 0.16/0.49 ![B]: (~relation(B)|(![A]: (~subset(relation_rng(B),A)|relation_composition(B,identity_relation(A))=B)))),
% 0.16/0.49 inference(miniscoping,[status(thm)],[f135])).
% 0.16/0.49 fof(f137,plain,(
% 0.16/0.49 ![X0,X1]: (~relation(X0)|~subset(relation_rng(X0),X1)|relation_composition(X0,identity_relation(X1))=X0)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f136])).
% 0.16/0.49 fof(f147,plain,(
% 0.16/0.49 ![X0]: (~relation(X0)|relation_composition(identity_relation(relation_dom(X0)),X0)=X0)),
% 0.16/0.49 inference(resolution,[status(thm)],[f134,f90])).
% 0.16/0.49 fof(f148,plain,(
% 0.16/0.49 ![X0]: (~relation(X0)|relation_composition(X0,identity_relation(relation_rng(X0)))=X0)),
% 0.16/0.49 inference(resolution,[status(thm)],[f137,f90])).
% 0.16/0.49 fof(f175,plain,(
% 0.16/0.49 relation_composition(identity_relation(relation_dom(sK9_skl)),sK9_skl)=sK9_skl),
% 0.16/0.49 inference(resolution,[status(thm)],[f147,f129])).
% 0.16/0.49 fof(f176,plain,(
% 0.16/0.49 ~sK9_skl=sK9_skl|~relation_composition(sK9_skl,identity_relation(relation_rng(sK9_skl)))=sK9_skl),
% 0.16/0.49 inference(backward_demodulation,[status(thm)],[f175,f131])).
% 0.16/0.49 fof(f177,plain,(
% 0.16/0.49 ~relation_composition(sK9_skl,identity_relation(relation_rng(sK9_skl)))=sK9_skl),
% 0.16/0.49 inference(trivial_equality_resolution,[status(thm)],[f176])).
% 0.16/0.49 fof(f186,plain,(
% 0.16/0.49 relation_composition(sK9_skl,identity_relation(relation_rng(sK9_skl)))=sK9_skl),
% 0.16/0.49 inference(resolution,[status(thm)],[f148,f129])).
% 0.16/0.49 fof(f187,plain,(
% 0.16/0.49 $false),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f186,f177])).
% 0.16/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.53 % Elapsed time: 0.081888 seconds
% 0.23/0.53 % CPU time: 0.258790 seconds
% 0.23/0.53 % Total memory used: 82.808 MB
% 0.23/0.53 % Net memory used: 82.693 MB
%------------------------------------------------------------------------------