%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU053+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 : n014.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 02:21:37 PM UTC 2026
% Result : Theorem 37.02s 5.16s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU053+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 05:48:06 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 37.02/5.16 % Refutation found
% 37.02/5.16 % SZS status Theorem for theBenchmark: Theorem is valid
% 37.02/5.16 % SZS output start CNFRefutation for theBenchmark
% 37.02/5.16 fof(f5,axiom,(
% 37.02/5.16 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 37.02/5.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.02/5.16 fof(f6,axiom,(
% 37.02/5.16 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 37.02/5.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.02/5.16 fof(f7,axiom,(
% 37.02/5.16 (! [A,B] :( disjoint(A,B)<=> set_intersection2(A,B) = empty_set ) )),
% 37.02/5.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.02/5.16 fof(f8,axiom,(
% 37.02/5.16 (! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)<=> (! [B,C] :( ( in(B,relation_dom(A))& in(C,relation_dom(A))& apply(A,B) = apply(A,C) )=> B = C ) )) ) )),
% 37.02/5.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.02/5.16 fof(f10,axiom,(
% 37.02/5.16 ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 37.02/5.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.02/5.16 fof(f18,axiom,(
% 37.02/5.16 (! [A,B] : set_intersection2(A,A) = A )),
% 37.02/5.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.02/5.16 fof(f34,axiom,(
% 37.02/5.16 (! [A,B] :( ( relation(B)& function(B) )=> ( in(A,relation_dom(B))=> relation_image(B,singleton(A)) = singleton(apply(B,A)) ) ) )),
% 37.02/5.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.02/5.16 fof(f35,conjecture,(
% 37.02/5.16 (! [A] :( ( relation(A)& function(A) )=> ( (! [B,C] : relation_image(A,set_intersection2(B,C)) = set_intersection2(relation_image(A,B),relation_image(A,C)))=> one_to_one(A) ) ) )),
% 37.02/5.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.02/5.16 fof(f36,negated_conjecture,(
% 37.02/5.16 ~((! [A] :( ( relation(A)& function(A) )=> ( (! [B,C] : relation_image(A,set_intersection2(B,C)) = set_intersection2(relation_image(A,B),relation_image(A,C)))=> one_to_one(A) ) ) ))),
% 37.02/5.16 inference(negated_conjecture,[status(cth)],[f35])).
% 37.02/5.16 fof(f37,axiom,(
% 37.02/5.16 (! [A] :( relation(A)=> relation_image(A,empty_set) = empty_set ) )),
% 37.02/5.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.02/5.16 fof(f38,axiom,(
% 37.02/5.16 (! [A,B] :( A != B=> disjoint(singleton(A),singleton(B)) ) )),
% 37.02/5.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.02/5.16 fof(f46,axiom,(
% 37.02/5.16 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 37.02/5.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.02/5.16 fof(f58,plain,(
% 37.02/5.16 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f5])).
% 37.02/5.16 fof(f59,plain,(
% 37.02/5.16 ![A,B]: ((~B=singleton(A)|(![C]: ((~in(C,B)|C=A)&(in(C,B)|~C=A))))&(B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 37.02/5.16 inference(NNF_transformation,[status(thm)],[f6])).
% 37.02/5.16 fof(f60,plain,(
% 37.02/5.16 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 37.02/5.16 inference(miniscoping,[status(thm)],[f59])).
% 37.02/5.16 fof(f61,plain,(
% 37.02/5.16 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sK0_skl(B,A),B)|~sK0_skl(B,A)=A)&(in(sK0_skl(B,A),B)|sK0_skl(B,A)=A))))),
% 37.02/5.16 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f60])).
% 37.02/5.16 fof(f63,plain,(
% 37.02/5.16 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f61])).
% 37.02/5.16 fof(f66,plain,(
% 37.02/5.16 ![A,B]: ((~disjoint(A,B)|set_intersection2(A,B)=empty_set)&(disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 37.02/5.16 inference(NNF_transformation,[status(thm)],[f7])).
% 37.02/5.16 fof(f67,plain,(
% 37.02/5.16 (![A,B]: (~disjoint(A,B)|set_intersection2(A,B)=empty_set))&(![A,B]: (disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 37.02/5.16 inference(miniscoping,[status(thm)],[f66])).
% 37.02/5.16 fof(f68,plain,(
% 37.02/5.16 ![X0,X1]: (~disjoint(X0,X1)|set_intersection2(X0,X1)=empty_set)),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f67])).
% 37.02/5.16 fof(f70,plain,(
% 37.02/5.16 ![A]: ((~relation(A)|~function(A))|(one_to_one(A)<=>(![B,C]: (((~in(B,relation_dom(A))|~in(C,relation_dom(A)))|~apply(A,B)=apply(A,C))|B=C))))),
% 37.02/5.16 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 37.02/5.16 fof(f71,plain,(
% 37.02/5.16 ![A]: ((~relation(A)|~function(A))|((~one_to_one(A)|(![B,C]: (((~in(B,relation_dom(A))|~in(C,relation_dom(A)))|~apply(A,B)=apply(A,C))|B=C)))&(one_to_one(A)|(?[B,C]: (((in(B,relation_dom(A))&in(C,relation_dom(A)))&apply(A,B)=apply(A,C))&~B=C)))))),
% 37.02/5.16 inference(NNF_transformation,[status(thm)],[f70])).
% 37.02/5.16 fof(f72,plain,(
% 37.02/5.16 ![A]: ((~relation(A)|~function(A))|((~one_to_one(A)|(![B,C]: (((~in(B,relation_dom(A))|~in(C,relation_dom(A)))|~apply(A,B)=apply(A,C))|B=C)))&(one_to_one(A)|(((in(sK1_skl(A),relation_dom(A))&in(sK2_skl(A),relation_dom(A)))&apply(A,sK1_skl(A))=apply(A,sK2_skl(A)))&~sK1_skl(A)=sK2_skl(A)))))),
% 37.02/5.16 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(B,sK1_skl(A)),skolemize(C,sK2_skl(A))],[f71])).
% 37.02/5.16 fof(f74,plain,(
% 37.02/5.16 ![X0]: (~relation(X0)|~function(X0)|one_to_one(X0)|in(sK1_skl(X0),relation_dom(X0)))),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f72])).
% 37.02/5.16 fof(f75,plain,(
% 37.02/5.16 ![X0]: (~relation(X0)|~function(X0)|one_to_one(X0)|in(sK2_skl(X0),relation_dom(X0)))),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f72])).
% 37.02/5.16 fof(f76,plain,(
% 37.02/5.16 ![X0]: (~relation(X0)|~function(X0)|one_to_one(X0)|apply(X0,sK1_skl(X0))=apply(X0,sK2_skl(X0)))),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f72])).
% 37.02/5.16 fof(f77,plain,(
% 37.02/5.16 ![X0]: (~relation(X0)|~function(X0)|one_to_one(X0)|~sK1_skl(X0)=sK2_skl(X0))),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f72])).
% 37.02/5.16 fof(f80,plain,(
% 37.02/5.16 empty(empty_set)),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f10])).
% 37.02/5.16 fof(f95,plain,(
% 37.02/5.16 ![A]: set_intersection2(A,A)=A),
% 37.02/5.16 inference(miniscoping,[status(thm)],[f18])).
% 37.02/5.16 fof(f96,plain,(
% 37.02/5.16 ![X0]: (set_intersection2(X0,X0)=X0)),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f95])).
% 37.02/5.16 fof(f141,plain,(
% 37.02/5.16 ![A,B]: ((~relation(B)|~function(B))|(~in(A,relation_dom(B))|relation_image(B,singleton(A))=singleton(apply(B,A))))),
% 37.02/5.16 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 37.02/5.16 fof(f142,plain,(
% 37.02/5.16 ![B]: ((~relation(B)|~function(B))|(![A]: (~in(A,relation_dom(B))|relation_image(B,singleton(A))=singleton(apply(B,A)))))),
% 37.02/5.16 inference(miniscoping,[status(thm)],[f141])).
% 37.02/5.16 fof(f143,plain,(
% 37.02/5.16 ![X0,X1]: (~relation(X0)|~function(X0)|~in(X1,relation_dom(X0))|relation_image(X0,singleton(X1))=singleton(apply(X0,X1)))),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f142])).
% 37.02/5.16 fof(f144,plain,(
% 37.02/5.16 (?[A]: ((relation(A)&function(A))&((![B,C]: relation_image(A,set_intersection2(B,C))=set_intersection2(relation_image(A,B),relation_image(A,C)))&~one_to_one(A))))),
% 37.02/5.16 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 37.02/5.16 fof(f145,plain,(
% 37.02/5.16 ((relation(sK14_skl)&function(sK14_skl))&((![B,C]: relation_image(sK14_skl,set_intersection2(B,C))=set_intersection2(relation_image(sK14_skl,B),relation_image(sK14_skl,C)))&~one_to_one(sK14_skl)))),
% 37.02/5.16 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl]),skolemize(A,sK14_skl)],[f144])).
% 37.02/5.16 fof(f146,plain,(
% 37.02/5.16 relation(sK14_skl)),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f145])).
% 37.02/5.16 fof(f147,plain,(
% 37.02/5.16 function(sK14_skl)),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f145])).
% 37.02/5.16 fof(f148,plain,(
% 37.02/5.16 ![X0,X1]: (relation_image(sK14_skl,set_intersection2(X0,X1))=set_intersection2(relation_image(sK14_skl,X0),relation_image(sK14_skl,X1)))),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f145])).
% 37.02/5.16 fof(f149,plain,(
% 37.02/5.16 ~one_to_one(sK14_skl)),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f145])).
% 37.02/5.16 fof(f150,plain,(
% 37.02/5.16 ![A]: (~relation(A)|relation_image(A,empty_set)=empty_set)),
% 37.02/5.16 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 37.02/5.16 fof(f151,plain,(
% 37.02/5.16 ![X0]: (~relation(X0)|relation_image(X0,empty_set)=empty_set)),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f150])).
% 37.02/5.16 fof(f152,plain,(
% 37.02/5.16 ![A,B]: (A=B|disjoint(singleton(A),singleton(B)))),
% 37.02/5.16 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 37.02/5.16 fof(f153,plain,(
% 37.02/5.16 ![X0,X1]: (X0=X1|disjoint(singleton(X0),singleton(X1)))),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f152])).
% 37.02/5.16 fof(f171,plain,(
% 37.02/5.16 ![A,B]: (~in(A,B)|~empty(B))),
% 37.02/5.16 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 37.02/5.16 fof(f172,plain,(
% 37.02/5.16 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 37.02/5.16 inference(miniscoping,[status(thm)],[f171])).
% 37.02/5.16 fof(f173,plain,(
% 37.02/5.16 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 37.02/5.16 inference(cnf_transformation,[status(thm)],[f172])).
% 37.02/5.16 fof(f178,plain,(
% 37.02/5.16 ![X0]: (in(X0,singleton(X0)))),
% 37.02/5.16 inference(destructive_equality_resolution,[status(thm)],[f63])).
% 37.02/5.16 fof(f182,plain,(
% 37.02/5.16 ![X0,X1]: (relation_image(sK14_skl,set_intersection2(X0,X1))=set_intersection2(relation_image(sK14_skl,X1),relation_image(sK14_skl,X0)))),
% 37.02/5.16 inference(paramodulation,[status(thm)],[f148,f58])).
% 37.02/5.16 fof(f224,plain,(
% 37.02/5.16 relation_image(sK14_skl,empty_set)=empty_set),
% 37.02/5.16 inference(resolution,[status(thm)],[f151,f146])).
% 37.02/5.16 fof(f228,plain,(
% 37.02/5.16 ![X0]: (~relation(X0)|~function(X0)|one_to_one(X0)|~relation(X0)|~function(X0)|relation_image(X0,singleton(sK1_skl(X0)))=singleton(apply(X0,sK1_skl(X0))))),
% 37.02/5.16 inference(resolution,[status(thm)],[f74,f143])).
% 37.02/5.16 fof(f230,plain,(
% 37.02/5.16 ![X0]: (~relation(X0)|~function(X0)|one_to_one(X0)|relation_image(X0,singleton(sK1_skl(X0)))=singleton(apply(X0,sK1_skl(X0))))),
% 37.02/5.16 inference(duplicate_literals_removal,[status(thm)],[f228])).
% 37.02/5.16 fof(f231,plain,(
% 37.02/5.16 ![X0]: (~relation(X0)|~function(X0)|one_to_one(X0)|~relation(X0)|~function(X0)|relation_image(X0,singleton(sK2_skl(X0)))=singleton(apply(X0,sK2_skl(X0))))),
% 37.02/5.16 inference(resolution,[status(thm)],[f75,f143])).
% 37.02/5.16 fof(f233,plain,(
% 37.02/5.16 ![X0]: (~relation(X0)|~function(X0)|one_to_one(X0)|relation_image(X0,singleton(sK2_skl(X0)))=singleton(apply(X0,sK2_skl(X0))))),
% 37.02/5.16 inference(duplicate_literals_removal,[status(thm)],[f231])).
% 37.02/5.16 fof(f234,plain,(
% 37.02/5.16 ~relation(sK14_skl)|~function(sK14_skl)|apply(sK14_skl,sK1_skl(sK14_skl))=apply(sK14_skl,sK2_skl(sK14_skl))),
% 37.02/5.16 inference(resolution,[status(thm)],[f76,f149])).
% 37.02/5.16 fof(f235,plain,(
% 37.02/5.16 ~function(sK14_skl)|apply(sK14_skl,sK1_skl(sK14_skl))=apply(sK14_skl,sK2_skl(sK14_skl))),
% 37.02/5.16 inference(forward_subsumption_resolution,[status(thm)],[f234,f146])).
% 37.02/5.16 fof(f236,plain,(
% 37.02/5.16 ~relation(sK14_skl)|~function(sK14_skl)|~sK1_skl(sK14_skl)=sK2_skl(sK14_skl)),
% 37.02/5.16 inference(resolution,[status(thm)],[f77,f149])).
% 37.02/5.16 fof(f237,plain,(
% 37.02/5.16 ~function(sK14_skl)|~sK1_skl(sK14_skl)=sK2_skl(sK14_skl)),
% 37.02/5.16 inference(forward_subsumption_resolution,[status(thm)],[f236,f146])).
% 37.02/5.16 fof(f255,plain,(
% 37.02/5.16 apply(sK14_skl,sK1_skl(sK14_skl))=apply(sK14_skl,sK2_skl(sK14_skl))),
% 37.02/5.16 inference(forward_subsumption_resolution,[status(thm)],[f235,f147])).
% 37.02/5.16 fof(f280,plain,(
% 37.02/5.16 ~sK1_skl(sK14_skl)=sK2_skl(sK14_skl)),
% 37.02/5.16 inference(forward_subsumption_resolution,[status(thm)],[f237,f147])).
% 37.02/5.16 fof(f321,plain,(
% 37.02/5.16 ~relation(sK14_skl)|~function(sK14_skl)|relation_image(sK14_skl,singleton(sK1_skl(sK14_skl)))=singleton(apply(sK14_skl,sK1_skl(sK14_skl)))),
% 37.02/5.16 inference(resolution,[status(thm)],[f230,f149])).
% 37.02/5.16 fof(f322,plain,(
% 37.02/5.16 ~function(sK14_skl)|relation_image(sK14_skl,singleton(sK1_skl(sK14_skl)))=singleton(apply(sK14_skl,sK1_skl(sK14_skl)))),
% 37.02/5.16 inference(forward_subsumption_resolution,[status(thm)],[f321,f146])).
% 37.02/5.16 fof(f323,plain,(
% 37.02/5.16 ~relation(sK14_skl)|~function(sK14_skl)|relation_image(sK14_skl,singleton(sK2_skl(sK14_skl)))=singleton(apply(sK14_skl,sK2_skl(sK14_skl)))),
% 37.02/5.16 inference(resolution,[status(thm)],[f233,f149])).
% 37.02/5.16 fof(f324,plain,(
% 37.02/5.16 ~relation(sK14_skl)|~function(sK14_skl)|relation_image(sK14_skl,singleton(sK2_skl(sK14_skl)))=singleton(apply(sK14_skl,sK1_skl(sK14_skl)))),
% 37.02/5.16 inference(forward_demodulation,[status(thm)],[f255,f323])).
% 37.02/5.16 fof(f325,plain,(
% 37.02/5.16 ~function(sK14_skl)|relation_image(sK14_skl,singleton(sK2_skl(sK14_skl)))=singleton(apply(sK14_skl,sK1_skl(sK14_skl)))),
% 37.02/5.16 inference(forward_subsumption_resolution,[status(thm)],[f324,f146])).
% 37.02/5.16 fof(f399,plain,(
% 37.02/5.16 relation_image(sK14_skl,singleton(sK1_skl(sK14_skl)))=singleton(apply(sK14_skl,sK1_skl(sK14_skl)))),
% 37.02/5.16 inference(forward_subsumption_resolution,[status(thm)],[f322,f147])).
% 37.02/5.16 fof(f401,plain,(
% 37.02/5.16 in(apply(sK14_skl,sK1_skl(sK14_skl)),relation_image(sK14_skl,singleton(sK1_skl(sK14_skl))))),
% 37.02/5.16 inference(paramodulation,[status(thm)],[f399,f178])).
% 37.02/5.16 fof(f442,plain,(
% 37.02/5.16 ![X0,X1]: (X0=X1|set_intersection2(singleton(X0),singleton(X1))=empty_set)),
% 37.02/5.16 inference(resolution,[status(thm)],[f153,f68])).
% 37.02/5.16 fof(f450,plain,(
% 37.02/5.16 ~function(sK14_skl)|relation_image(sK14_skl,singleton(sK2_skl(sK14_skl)))=relation_image(sK14_skl,singleton(sK1_skl(sK14_skl)))),
% 37.02/5.16 inference(forward_demodulation,[status(thm)],[f399,f325])).
% 37.02/5.16 fof(f451,plain,(
% 37.02/5.16 relation_image(sK14_skl,singleton(sK2_skl(sK14_skl)))=relation_image(sK14_skl,singleton(sK1_skl(sK14_skl)))),
% 37.02/5.20 inference(forward_subsumption_resolution,[status(thm)],[f450,f147])).
% 37.02/5.20 fof(f452,plain,(
% 37.02/5.20 ![X0]: (relation_image(sK14_skl,set_intersection2(singleton(sK2_skl(sK14_skl)),X0))=set_intersection2(relation_image(sK14_skl,X0),relation_image(sK14_skl,singleton(sK1_skl(sK14_skl)))))),
% 37.02/5.20 inference(paramodulation,[status(thm)],[f451,f182])).
% 37.02/5.20 fof(f456,plain,(
% 37.02/5.20 ![X0]: (relation_image(sK14_skl,set_intersection2(singleton(sK2_skl(sK14_skl)),X0))=relation_image(sK14_skl,set_intersection2(singleton(sK1_skl(sK14_skl)),X0)))),
% 37.02/5.20 inference(forward_demodulation,[status(thm)],[f182,f452])).
% 37.02/5.20 fof(f516,plain,(
% 37.02/5.20 ![X0]: (~in(X0,empty_set))),
% 37.02/5.20 inference(resolution,[status(thm)],[f173,f80])).
% 37.02/5.20 fof(f1648,plain,(
% 37.02/5.20 ![X0]: (relation_image(sK14_skl,empty_set)=relation_image(sK14_skl,set_intersection2(singleton(sK1_skl(sK14_skl)),singleton(X0)))|sK2_skl(sK14_skl)=X0)),
% 37.02/5.20 inference(paramodulation,[status(thm)],[f442,f456])).
% 37.02/5.20 fof(f1666,plain,(
% 37.02/5.20 ![X0]: (empty_set=relation_image(sK14_skl,set_intersection2(singleton(sK1_skl(sK14_skl)),singleton(X0)))|sK2_skl(sK14_skl)=X0)),
% 37.02/5.20 inference(forward_demodulation,[status(thm)],[f224,f1648])).
% 37.02/5.20 fof(f23612,plain,(
% 37.02/5.20 empty_set=relation_image(sK14_skl,singleton(sK1_skl(sK14_skl)))|sK2_skl(sK14_skl)=sK1_skl(sK14_skl)),
% 37.02/5.20 inference(paramodulation,[status(thm)],[f96,f1666])).
% 37.02/5.20 fof(f23640,plain,(
% 37.02/5.20 empty_set=relation_image(sK14_skl,singleton(sK1_skl(sK14_skl)))),
% 37.02/5.20 inference(forward_subsumption_resolution,[status(thm)],[f23612,f280])).
% 37.02/5.20 fof(f23683,plain,(
% 37.02/5.20 in(apply(sK14_skl,sK1_skl(sK14_skl)),empty_set)),
% 37.02/5.20 inference(backward_demodulation,[status(thm)],[f23640,f401])).
% 37.02/5.20 fof(f23695,plain,(
% 37.02/5.20 $false),
% 37.02/5.20 inference(forward_subsumption_resolution,[status(thm)],[f23683,f516])).
% 37.02/5.20 % SZS output end CNFRefutation for theBenchmark.p
% 4.57/5.23 % Elapsed time: 4.856527 seconds
% 4.57/5.23 % CPU time: 37.783941 seconds
% 4.57/5.23 % Total memory used: 378.409 MB
% 4.57/5.23 % Net memory used: 360.945 MB
%------------------------------------------------------------------------------