%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU217+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 : 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 02:22:01 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU217+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n005.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Mon Sep 21 05:59:03 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.39 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f22,axiom,(
% 0.14/0.40 (! [A] : relation(identity_relation(A)) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f24,axiom,(
% 0.14/0.40 (! [A] :( relation(identity_relation(A))& function(identity_relation(A)) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f27,conjecture,(
% 0.14/0.40 (! [A,B] :( in(B,A)=> apply(identity_relation(A),B) = B ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f28,negated_conjecture,(
% 0.14/0.40 ~((! [A,B] :( in(B,A)=> apply(identity_relation(A),B) = B ) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f27])).
% 0.14/0.40 fof(f29,axiom,(
% 0.14/0.40 (! [A,B] :( ( relation(B)& function(B) )=> ( B = identity_relation(A)<=> ( relation_dom(B) = A& (! [C] :( in(C,A)=> apply(B,C) = C ) )) ) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f69,plain,(
% 0.14/0.40 ![X0]: (relation(identity_relation(X0)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.40 fof(f73,plain,(
% 0.14/0.40 (![A]: relation(identity_relation(A)))&(![A]: function(identity_relation(A)))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f24])).
% 0.14/0.40 fof(f75,plain,(
% 0.14/0.40 ![X0]: (function(identity_relation(X0)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f73])).
% 0.14/0.40 fof(f81,plain,(
% 0.14/0.40 (?[A,B]: (in(B,A)&~apply(identity_relation(A),B)=B))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.14/0.40 fof(f82,plain,(
% 0.14/0.40 (in(sK8_skl,sK7_skl)&~apply(identity_relation(sK7_skl),sK8_skl)=sK8_skl)),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(A,sK7_skl),skolemize(B,sK8_skl)],[f81])).
% 0.14/0.40 fof(f83,plain,(
% 0.14/0.40 in(sK8_skl,sK7_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f82])).
% 0.14/0.40 fof(f84,plain,(
% 0.14/0.40 ~apply(identity_relation(sK7_skl),sK8_skl)=sK8_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f82])).
% 0.14/0.40 fof(f85,plain,(
% 0.14/0.40 ![A,B]: ((~relation(B)|~function(B))|(B=identity_relation(A)<=>(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C)))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.14/0.40 fof(f86,plain,(
% 0.14/0.40 ![A,B]: ((~relation(B)|~function(B))|((~B=identity_relation(A)|(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C))))&(B=identity_relation(A)|(~relation_dom(B)=A|(?[C]: (in(C,A)&~apply(B,C)=C))))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f85])).
% 0.14/0.40 fof(f87,plain,(
% 0.14/0.40 ![B]: ((~relation(B)|~function(B))|((![A]: (~B=identity_relation(A)|(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C)))))&(![A]: (B=identity_relation(A)|(~relation_dom(B)=A|(?[C]: (in(C,A)&~apply(B,C)=C)))))))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f86])).
% 0.14/0.40 fof(f88,plain,(
% 0.14/0.40 ![B]: ((~relation(B)|~function(B))|((![A]: (~B=identity_relation(A)|(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C)))))&(![A]: (B=identity_relation(A)|(~relation_dom(B)=A|(in(sK9_skl(A,B),A)&~apply(B,sK9_skl(A,B))=sK9_skl(A,B)))))))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(C,sK9_skl(A,B))],[f87])).
% 0.14/0.40 fof(f90,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~X0=identity_relation(X1)|~in(X2,X1)|apply(X0,X2)=X2)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f88])).
% 0.14/0.40 fof(f95,plain,(
% 0.14/0.40 ![X1,X2]: (~relation(identity_relation(X1))|~function(identity_relation(X1))|~in(X2,X1)|apply(identity_relation(X1),X2)=X2)),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f90])).
% 0.14/0.40 fof(f96,plain,(
% 0.14/0.40 ![X0,X1]: (~function(identity_relation(X0))|~in(X1,X0)|apply(identity_relation(X0),X1)=X1)),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f95,f69])).
% 0.14/0.40 fof(f101,plain,(
% 0.14/0.40 ~function(identity_relation(sK7_skl))|apply(identity_relation(sK7_skl),sK8_skl)=sK8_skl),
% 0.14/0.40 inference(resolution,[status(thm)],[f96,f83])).
% 0.14/0.40 fof(f102,definition,(
% 0.14/0.40 sQ0_spl <=> (function(identity_relation(sK7_skl)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f104,plain,(
% 0.14/0.40 ~function(identity_relation(sK7_skl))|sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f102])).
% 0.14/0.40 fof(f105,definition,(
% 0.14/0.40 sQ1_spl <=> (apply(identity_relation(sK7_skl),sK8_skl)=sK8_skl)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f106,plain,(
% 0.14/0.41 apply(identity_relation(sK7_skl),sK8_skl)=sK8_skl|~sQ1_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f105])).
% 0.14/0.41 fof(f108,plain,(
% 0.14/0.41 ~sQ0_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f101,f102,f105])).
% 0.14/0.41 fof(f109,plain,(
% 0.14/0.41 $false|sQ0_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f104,f75])).
% 0.14/0.41 fof(f110,plain,(
% 0.14/0.41 sQ0_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f109])).
% 0.14/0.41 fof(f111,plain,(
% 0.14/0.41 $false|~sQ1_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f106,f84])).
% 0.14/0.41 fof(f112,plain,(
% 0.14/0.41 ~sQ1_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f111])).
% 0.14/0.41 fof(f113,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(sat_refutation,[status(thm)],[f108,f110,f112])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.041193 seconds
% 0.14/0.43 % CPU time: 0.109738 seconds
% 0.14/0.43 % Total memory used: 42.951 MB
% 0.14/0.43 % Net memory used: 42.849 MB
%------------------------------------------------------------------------------