%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU200+2 : 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 : n011.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 02:21:58 PM UTC 2026
% Result : Theorem 0.16s 5.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU200+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.39 % Computer : n011.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Mon Sep 21 05:57:15 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.16/5.42 % Drodi V4.1.1
% 0.16/5.56 % Refutation found
% 0.16/5.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/5.56 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.56 fof(f8,axiom,(
% 0.16/5.56 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.16/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.56 fof(f61,axiom,(
% 0.16/5.56 (! [A,B] :( relation(B)=> relation(relation_rng_restriction(A,B)) ) )),
% 0.16/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.56 fof(f114,lemma,(
% 0.16/5.56 (! [A,B] :( relation(B)=> subset(relation_rng_restriction(A,B),B) ) )),
% 0.16/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.56 fof(f115,conjecture,(
% 0.16/5.56 (! [A,B] :( relation(B)=> subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ) )),
% 0.16/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.56 fof(f116,negated_conjecture,(
% 0.16/5.56 ~((! [A,B] :( relation(B)=> subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ) ))),
% 0.16/5.56 inference(negated_conjecture,[status(cth)],[f115])).
% 0.16/5.56 fof(f129,lemma,(
% 0.16/5.56 (! [A] :( relation(A)=> (! [B] :( relation(B)=> ( subset(A,B)=> ( subset(relation_dom(A),relation_dom(B))& subset(relation_rng(A),relation_rng(B)) ) ) ) )) )),
% 0.16/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.56 fof(f214,plain,(
% 0.16/5.56 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.16/5.56 inference(NNF_transformation,[status(thm)],[f8])).
% 0.16/5.56 fof(f215,plain,(
% 0.16/5.56 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.16/5.56 inference(miniscoping,[status(thm)],[f214])).
% 0.16/5.56 fof(f216,plain,(
% 0.16/5.56 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 0.16/5.56 inference(cnf_transformation,[status(thm)],[f215])).
% 0.16/5.56 fof(f435,plain,(
% 0.16/5.56 ![A,B]: (~relation(B)|relation(relation_rng_restriction(A,B)))),
% 0.16/5.56 inference(pre_NNF_transformation,[status(thm)],[f61])).
% 0.16/5.56 fof(f436,plain,(
% 0.16/5.56 ![B]: (~relation(B)|(![A]: relation(relation_rng_restriction(A,B))))),
% 0.16/5.56 inference(miniscoping,[status(thm)],[f435])).
% 0.16/5.56 fof(f437,plain,(
% 0.16/5.56 ![X0,X1]: (~relation(X0)|relation(relation_rng_restriction(X1,X0)))),
% 0.16/5.56 inference(cnf_transformation,[status(thm)],[f436])).
% 0.16/5.56 fof(f567,plain,(
% 0.16/5.56 ![A,B]: (~relation(B)|subset(relation_rng_restriction(A,B),B))),
% 0.16/5.56 inference(pre_NNF_transformation,[status(thm)],[f114])).
% 0.16/5.56 fof(f568,plain,(
% 0.16/5.56 ![B]: (~relation(B)|(![A]: subset(relation_rng_restriction(A,B),B)))),
% 0.16/5.56 inference(miniscoping,[status(thm)],[f567])).
% 0.16/5.56 fof(f569,plain,(
% 0.16/5.56 ![X0,X1]: (~relation(X0)|subset(relation_rng_restriction(X1,X0),X0))),
% 0.16/5.56 inference(cnf_transformation,[status(thm)],[f568])).
% 0.16/5.56 fof(f570,plain,(
% 0.16/5.56 (?[A,B]: (relation(B)&~subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))))),
% 0.16/5.56 inference(pre_NNF_transformation,[status(thm)],[f116])).
% 0.16/5.56 fof(f571,plain,(
% 0.16/5.56 ?[B]: (relation(B)&(?[A]: ~subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))))),
% 0.16/5.56 inference(miniscoping,[status(thm)],[f570])).
% 0.16/5.56 fof(f572,plain,(
% 0.16/5.56 (relation(sK53_skl)&~subset(relation_rng(relation_rng_restriction(sK54_skl,sK53_skl)),relation_rng(sK53_skl)))),
% 0.16/5.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK53_skl,sK54_skl]),skolemize(B,sK53_skl),skolemize(A,sK54_skl)],[f571])).
% 0.16/5.56 fof(f573,plain,(
% 0.16/5.56 relation(sK53_skl)),
% 0.16/5.56 inference(cnf_transformation,[status(thm)],[f572])).
% 0.16/5.56 fof(f574,plain,(
% 0.16/5.56 ~subset(relation_rng(relation_rng_restriction(sK54_skl,sK53_skl)),relation_rng(sK53_skl))),
% 0.16/5.56 inference(cnf_transformation,[status(thm)],[f572])).
% 0.16/5.56 fof(f606,plain,(
% 0.16/5.56 ![A]: (~relation(A)|(![B]: (~relation(B)|(~subset(A,B)|(subset(relation_dom(A),relation_dom(B))&subset(relation_rng(A),relation_rng(B)))))))),
% 0.16/5.56 inference(pre_NNF_transformation,[status(thm)],[f129])).
% 0.16/5.56 fof(f608,plain,(
% 0.16/5.56 ![X0,X1]: (~relation(X0)|~relation(X1)|~subset(X0,X1)|subset(relation_rng(X0),relation_rng(X1)))),
% 0.16/5.56 inference(cnf_transformation,[status(thm)],[f606])).
% 0.16/5.56 fof(f800,plain,(
% 0.16/5.56 ![X0]: (subset(X0,X0))),
% 0.16/5.56 inference(destructive_equality_resolution,[status(thm)],[f216])).
% 0.16/5.56 fof(f809,plain,(
% 0.16/5.56 ~relation(relation_rng_restriction(sK54_skl,sK53_skl))|~relation(sK53_skl)|~subset(relation_rng_restriction(sK54_skl,sK53_skl),sK53_skl)),
% 0.16/5.56 inference(resolution,[status(thm)],[f608,f574])).
% 0.16/5.56 fof(f811,definition,(
% 0.16/5.56 sQ0_spl <=> (relation(relation_rng_restriction(sK54_skl,sK53_skl)))),
% 0.16/5.56 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/5.56 fof(f813,plain,(
% 0.16/5.56 ~relation(relation_rng_restriction(sK54_skl,sK53_skl))|sQ0_spl),
% 0.16/5.56 inference(component_clause,[status(thm)],[f811])).
% 0.16/5.56 fof(f814,definition,(
% 0.16/5.56 sQ1_spl <=> (relation(sK53_skl))),
% 0.16/5.56 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/5.56 fof(f816,plain,(
% 0.16/5.56 ~relation(sK53_skl)|sQ1_spl),
% 0.16/5.56 inference(component_clause,[status(thm)],[f814])).
% 0.16/5.56 fof(f817,definition,(
% 0.16/5.56 sQ2_spl <=> (subset(relation_rng_restriction(sK54_skl,sK53_skl),sK53_skl))),
% 0.16/5.56 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/5.56 fof(f819,plain,(
% 0.16/5.56 ~subset(relation_rng_restriction(sK54_skl,sK53_skl),sK53_skl)|sQ2_spl),
% 0.16/5.56 inference(component_clause,[status(thm)],[f817])).
% 0.16/5.56 fof(f820,plain,(
% 0.16/5.56 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.16/5.56 inference(split_clause,[status(thm)],[f809,f811,f814,f817])).
% 0.16/5.56 fof(f825,plain,(
% 0.16/5.56 ~relation(sK53_skl)|sQ2_spl),
% 0.16/5.56 inference(resolution,[status(thm)],[f819,f569])).
% 0.16/5.56 fof(f826,plain,(
% 0.16/5.56 $false|sQ2_spl),
% 0.16/5.56 inference(forward_subsumption_resolution,[status(thm)],[f825,f573])).
% 0.16/5.56 fof(f827,plain,(
% 0.16/5.56 sQ2_spl),
% 0.16/5.56 inference(contradiction_clause,[status(thm)],[f826])).
% 0.16/5.56 fof(f881,definition,(
% 0.16/5.56 sQ4_spl <=> (subset(sK53_skl,sK53_skl))),
% 0.16/5.56 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.16/5.56 fof(f883,plain,(
% 0.16/5.56 ~subset(sK53_skl,sK53_skl)|sQ4_spl),
% 0.16/5.56 inference(component_clause,[status(thm)],[f881])).
% 0.16/5.56 fof(f888,plain,(
% 0.16/5.56 $false|sQ1_spl),
% 0.16/5.56 inference(forward_subsumption_resolution,[status(thm)],[f816,f573])).
% 0.16/5.56 fof(f889,plain,(
% 0.16/5.56 sQ1_spl),
% 0.16/5.56 inference(contradiction_clause,[status(thm)],[f888])).
% 0.16/5.56 fof(f891,plain,(
% 0.16/5.56 $false|sQ4_spl),
% 0.16/5.56 inference(forward_subsumption_resolution,[status(thm)],[f883,f800])).
% 0.16/5.56 fof(f892,plain,(
% 0.16/5.56 sQ4_spl),
% 0.16/5.56 inference(contradiction_clause,[status(thm)],[f891])).
% 0.16/5.56 fof(f908,plain,(
% 0.16/5.56 ~relation(sK53_skl)|sQ0_spl),
% 0.16/5.56 inference(resolution,[status(thm)],[f813,f437])).
% 0.16/5.56 fof(f909,plain,(
% 0.16/5.56 ~sQ1_spl|sQ0_spl),
% 0.16/5.56 inference(split_clause,[status(thm)],[f908,f814,f811])).
% 0.16/5.56 fof(f910,plain,(
% 0.16/5.56 $false),
% 0.16/5.56 inference(sat_refutation,[status(thm)],[f820,f827,f889,f892,f909])).
% 0.16/5.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/5.58 % Elapsed time: 0.171108 seconds
% 0.16/5.58 % CPU time: 0.993680 seconds
% 0.16/5.58 % Total memory used: 124.849 MB
% 0.16/5.58 % Net memory used: 123.333 MB
%------------------------------------------------------------------------------