%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU210+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 : n026.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 02:21:59 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU210+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.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
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 06:01:07 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.44 % Refutation found
% 0.10/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.44 fof(f5,axiom,(
% 0.10/0.44 (! [A] :( relation(A)=> (! [B] :( B = relation_rng(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(D,C),A) )) )) )) )),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f16,axiom,(
% 0.10/0.44 (! [A] : ~ empty(powerset(A)) )),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f23,axiom,(
% 0.10/0.44 (! [A] :( empty(A)=> ( empty(relation_rng(A))& relation(relation_rng(A)) ) ) )),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f24,axiom,(
% 0.10/0.44 (? [A] :( empty(A)& relation(A) ) )),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f26,axiom,(
% 0.10/0.44 (? [A] : empty(A) )),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f31,axiom,(
% 0.10/0.44 (! [A,B,C] :( relation(C)=> ( in(A,relation_inverse_image(C,B))<=> (? [D] :( in(D,relation_rng(C))& in(ordered_pair(A,D),C)& in(D,B) ) )) ) )),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f32,conjecture,(
% 0.10/0.44 (! [A,B] :( relation(B)=> ~ ( A != empty_set& subset(A,relation_rng(B))& relation_inverse_image(B,A) = empty_set ) ) )),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f33,negated_conjecture,(
% 0.10/0.44 ~((! [A,B] :( relation(B)=> ~ ( A != empty_set& subset(A,relation_rng(B))& relation_inverse_image(B,A) = empty_set ) ) ))),
% 0.10/0.44 inference(negated_conjecture,[status(cth)],[f32])).
% 0.10/0.44 fof(f34,axiom,(
% 0.10/0.44 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f35,axiom,(
% 0.10/0.44 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f36,axiom,(
% 0.10/0.44 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f37,axiom,(
% 0.10/0.44 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f38,axiom,(
% 0.10/0.44 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f39,axiom,(
% 0.10/0.44 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f40,axiom,(
% 0.10/0.44 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f54,plain,(
% 0.10/0.44 ![A]: (~relation(A)|(![B]: (B=relation_rng(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(D,C),A)))))))),
% 0.10/0.44 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.10/0.44 fof(f55,plain,(
% 0.10/0.44 ![A]: (~relation(A)|(![B]: ((~B=relation_rng(A)|(![C]: ((~in(C,B)|(?[D]: in(ordered_pair(D,C),A)))&(in(C,B)|(![D]: ~in(ordered_pair(D,C),A))))))&(B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]: in(ordered_pair(D,C),A)))))))))),
% 0.10/0.44 inference(NNF_transformation,[status(thm)],[f54])).
% 0.10/0.44 fof(f56,plain,(
% 0.10/0.44 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(D,C),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]: in(ordered_pair(D,C),A)))))))))),
% 0.10/0.44 inference(miniscoping,[status(thm)],[f55])).
% 0.10/0.44 fof(f57,plain,(
% 0.10/0.44 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|in(ordered_pair(sK1_skl(C,B,A),C),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|((~in(sK2_skl(B,A),B)|(![D]: ~in(ordered_pair(D,sK2_skl(B,A)),A)))&(in(sK2_skl(B,A),B)|in(ordered_pair(sK3_skl(B,A),sK2_skl(B,A)),A)))))))),
% 0.10/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(D,sK1_skl(C,B,A)),skolemize(C,sK2_skl(B,A)),skolemize(D,sK3_skl(B,A))],[f56])).
% 0.10/0.44 fof(f58,plain,(
% 0.10/0.44 ![X0,X1,X2]: (~relation(X0)|~X1=relation_rng(X0)|~in(X2,X1)|in(ordered_pair(sK1_skl(X2,X1,X0),X2),X0))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f57])).
% 0.10/0.44 fof(f59,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_rng(X0)|in(X2,X1)|~in(ordered_pair(X3,X2),X0))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f57])).
% 0.10/0.44 fof(f61,plain,(
% 0.10/0.44 ![X0,X1]: (~relation(X0)|X1=relation_rng(X0)|in(sK2_skl(X1,X0),X1)|in(ordered_pair(sK3_skl(X1,X0),sK2_skl(X1,X0)),X0))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f57])).
% 0.10/0.44 fof(f65,plain,(
% 0.10/0.44 ![X0]: (~empty(powerset(X0)))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.44 fof(f74,plain,(
% 0.10/0.44 ![A]: (~empty(A)|(empty(relation_rng(A))&relation(relation_rng(A))))),
% 0.10/0.44 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.10/0.44 fof(f75,plain,(
% 0.10/0.44 ![X0]: (~empty(X0)|empty(relation_rng(X0)))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f74])).
% 0.10/0.44 fof(f77,plain,(
% 0.10/0.44 (empty(sK5_skl)&relation(sK5_skl))),
% 0.10/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(A,sK5_skl)],[f24])).
% 0.10/0.44 fof(f78,plain,(
% 0.10/0.44 empty(sK5_skl)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f77])).
% 0.10/0.44 fof(f79,plain,(
% 0.10/0.44 relation(sK5_skl)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f77])).
% 0.10/0.44 fof(f84,plain,(
% 0.10/0.44 empty(sK7_skl)),
% 0.10/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(A,sK7_skl)],[f26])).
% 0.10/0.44 fof(f85,plain,(
% 0.10/0.44 empty(sK7_skl)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f84])).
% 0.10/0.44 fof(f96,plain,(
% 0.10/0.44 ![A,B,C]: (~relation(C)|(in(A,relation_inverse_image(C,B))<=>(?[D]: ((in(D,relation_rng(C))&in(ordered_pair(A,D),C))&in(D,B)))))),
% 0.10/0.44 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.10/0.44 fof(f97,plain,(
% 0.10/0.44 ![A,B,C]: (~relation(C)|((~in(A,relation_inverse_image(C,B))|(?[D]: ((in(D,relation_rng(C))&in(ordered_pair(A,D),C))&in(D,B))))&(in(A,relation_inverse_image(C,B))|(![D]: ((~in(D,relation_rng(C))|~in(ordered_pair(A,D),C))|~in(D,B))))))),
% 0.10/0.44 inference(NNF_transformation,[status(thm)],[f96])).
% 0.10/0.44 fof(f98,plain,(
% 0.10/0.44 ![C]: (~relation(C)|((![A,B]: (~in(A,relation_inverse_image(C,B))|(?[D]: ((in(D,relation_rng(C))&in(ordered_pair(A,D),C))&in(D,B)))))&(![A,B]: (in(A,relation_inverse_image(C,B))|(![D]: ((~in(D,relation_rng(C))|~in(ordered_pair(A,D),C))|~in(D,B)))))))),
% 0.10/0.44 inference(miniscoping,[status(thm)],[f97])).
% 0.10/0.44 fof(f99,plain,(
% 0.10/0.44 ![C]: (~relation(C)|((![A,B]: (~in(A,relation_inverse_image(C,B))|((in(sK11_skl(B,A,C),relation_rng(C))&in(ordered_pair(A,sK11_skl(B,A,C)),C))&in(sK11_skl(B,A,C),B))))&(![A,B]: (in(A,relation_inverse_image(C,B))|(![D]: ((~in(D,relation_rng(C))|~in(ordered_pair(A,D),C))|~in(D,B)))))))),
% 0.10/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(D,sK11_skl(B,A,C))],[f98])).
% 0.10/0.44 fof(f103,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (~relation(X0)|in(X1,relation_inverse_image(X0,X2))|~in(X3,relation_rng(X0))|~in(ordered_pair(X1,X3),X0)|~in(X3,X2))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f99])).
% 0.10/0.44 fof(f104,plain,(
% 0.10/0.44 (?[A,B]: (relation(B)&((~A=empty_set&subset(A,relation_rng(B)))&relation_inverse_image(B,A)=empty_set)))),
% 0.10/0.44 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.10/0.44 fof(f105,plain,(
% 0.10/0.44 ?[B]: (relation(B)&(?[A]: ((~A=empty_set&subset(A,relation_rng(B)))&relation_inverse_image(B,A)=empty_set)))),
% 0.10/0.44 inference(miniscoping,[status(thm)],[f104])).
% 0.10/0.44 fof(f106,plain,(
% 0.10/0.44 (relation(sK12_skl)&((~sK13_skl=empty_set&subset(sK13_skl,relation_rng(sK12_skl)))&relation_inverse_image(sK12_skl,sK13_skl)=empty_set))),
% 0.10/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(B,sK12_skl),skolemize(A,sK13_skl)],[f105])).
% 0.10/0.44 fof(f107,plain,(
% 0.10/0.44 relation(sK12_skl)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f106])).
% 0.10/0.44 fof(f108,plain,(
% 0.10/0.44 ~sK13_skl=empty_set),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f106])).
% 0.10/0.44 fof(f109,plain,(
% 0.10/0.44 subset(sK13_skl,relation_rng(sK12_skl))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f106])).
% 0.10/0.44 fof(f110,plain,(
% 0.10/0.44 relation_inverse_image(sK12_skl,sK13_skl)=empty_set),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f106])).
% 0.10/0.44 fof(f111,plain,(
% 0.10/0.44 ![A,B]: (~in(A,B)|element(A,B))),
% 0.10/0.44 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.10/0.44 fof(f112,plain,(
% 0.10/0.44 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f111])).
% 0.10/0.44 fof(f113,plain,(
% 0.10/0.44 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.10/0.44 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.10/0.44 fof(f114,plain,(
% 0.10/0.44 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f113])).
% 0.10/0.44 fof(f115,plain,(
% 0.10/0.44 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.10/0.44 inference(NNF_transformation,[status(thm)],[f36])).
% 0.10/0.44 fof(f116,plain,(
% 0.10/0.44 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.10/0.44 inference(miniscoping,[status(thm)],[f115])).
% 0.10/0.44 fof(f118,plain,(
% 0.10/0.44 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f116])).
% 0.10/0.44 fof(f119,plain,(
% 0.10/0.44 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.10/0.44 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.10/0.44 fof(f120,plain,(
% 0.10/0.44 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.10/0.44 inference(miniscoping,[status(thm)],[f119])).
% 0.10/0.44 fof(f121,plain,(
% 0.10/0.44 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f120])).
% 0.10/0.44 fof(f122,plain,(
% 0.10/0.44 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 0.10/0.44 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.10/0.44 fof(f123,plain,(
% 0.10/0.44 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 0.10/0.44 inference(miniscoping,[status(thm)],[f122])).
% 0.10/0.44 fof(f124,plain,(
% 0.10/0.44 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f123])).
% 0.10/0.44 fof(f125,plain,(
% 0.10/0.44 ![A]: (~empty(A)|A=empty_set)),
% 0.10/0.44 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.10/0.44 fof(f126,plain,(
% 0.10/0.44 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f125])).
% 0.10/0.44 fof(f127,plain,(
% 0.10/0.44 ![A,B]: (~in(A,B)|~empty(B))),
% 0.10/0.44 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.10/0.44 fof(f128,plain,(
% 0.10/0.44 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.10/0.44 inference(miniscoping,[status(thm)],[f127])).
% 0.10/0.44 fof(f129,plain,(
% 0.10/0.44 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f128])).
% 0.10/0.44 fof(f133,plain,(
% 0.10/0.44 ![X0,X1]: (~relation(X0)|~in(X1,relation_rng(X0))|in(ordered_pair(sK1_skl(X1,relation_rng(X0),X0),X1),X0))),
% 0.10/0.44 inference(destructive_equality_resolution,[status(thm)],[f58])).
% 0.10/0.44 fof(f134,plain,(
% 0.10/0.44 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_rng(X0))|~in(ordered_pair(X2,X1),X0))),
% 0.10/0.44 inference(destructive_equality_resolution,[status(thm)],[f59])).
% 0.10/0.44 fof(f148,plain,(
% 0.10/0.44 ![X0]: (relation_rng(X0)=empty_set|~empty(X0))),
% 0.10/0.44 inference(resolution,[status(thm)],[f126,f75])).
% 0.10/0.44 fof(f149,plain,(
% 0.10/0.44 sK7_skl=empty_set),
% 0.10/0.44 inference(resolution,[status(thm)],[f126,f85])).
% 0.10/0.44 fof(f150,plain,(
% 0.10/0.44 sK5_skl=empty_set),
% 0.10/0.44 inference(resolution,[status(thm)],[f126,f78])).
% 0.10/0.44 fof(f152,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (~relation(X0)|in(X1,relation_inverse_image(X0,X2))|~in(ordered_pair(X1,X3),X0)|~in(X3,X2))),
% 0.10/0.44 inference(forward_subsumption_resolution,[status(thm)],[f103,f134])).
% 0.10/0.44 fof(f153,plain,(
% 0.10/0.44 ![X0,X1,X2]: (~relation(X0)|in(sK1_skl(X1,relation_rng(X0),X0),relation_inverse_image(X0,X2))|~in(X1,X2)|~relation(X0)|~in(X1,relation_rng(X0)))),
% 0.10/0.44 inference(resolution,[status(thm)],[f152,f133])).
% 0.10/0.44 fof(f155,plain,(
% 0.10/0.44 ![X0,X1,X2]: (~relation(X0)|in(sK1_skl(X1,relation_rng(X0),X0),relation_inverse_image(X0,X2))|~in(X1,X2)|~in(X1,relation_rng(X0)))),
% 0.10/0.44 inference(duplicate_literals_removal,[status(thm)],[f153])).
% 0.10/0.44 fof(f177,plain,(
% 0.10/0.44 relation_inverse_image(sK12_skl,sK13_skl)=sK7_skl),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f149,f110])).
% 0.10/0.44 fof(f180,plain,(
% 0.10/0.44 ~sK13_skl=sK7_skl),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f149,f108])).
% 0.10/0.44 fof(f181,plain,(
% 0.10/0.44 sK7_skl=sK5_skl),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f150,f149])).
% 0.10/0.44 fof(f185,plain,(
% 0.10/0.44 ~sK13_skl=sK5_skl),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f181,f180])).
% 0.10/0.44 fof(f187,plain,(
% 0.10/0.44 relation_inverse_image(sK12_skl,sK13_skl)=sK5_skl),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f181,f177])).
% 0.10/0.44 fof(f206,plain,(
% 0.10/0.44 ![X0]: (relation_rng(X0)=sK5_skl|~empty(X0))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f150,f148])).
% 0.10/0.44 fof(f208,plain,(
% 0.10/0.44 relation_rng(sK5_skl)=sK5_skl),
% 0.10/0.44 inference(resolution,[status(thm)],[f206,f78])).
% 0.10/0.44 fof(f231,plain,(
% 0.10/0.44 ![X0,X1]: (empty(powerset(X0))|in(X1,powerset(X0))|~subset(X1,X0))),
% 0.10/0.44 inference(resolution,[status(thm)],[f114,f118])).
% 0.10/0.44 fof(f235,plain,(
% 0.10/0.44 ![X0,X1]: (in(X0,powerset(X1))|~subset(X0,X1))),
% 0.10/0.44 inference(forward_subsumption_resolution,[status(thm)],[f231,f65])).
% 0.10/0.44 fof(f237,plain,(
% 0.10/0.44 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|empty(X2)|in(X0,X2))),
% 0.10/0.44 inference(resolution,[status(thm)],[f121,f114])).
% 0.10/0.44 fof(f245,plain,(
% 0.10/0.44 ![X0]: (~relation(sK12_skl)|in(sK1_skl(X0,relation_rng(sK12_skl),sK12_skl),sK5_skl)|~in(X0,sK13_skl)|~in(X0,relation_rng(sK12_skl)))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f187,f155])).
% 0.10/0.44 fof(f248,plain,(
% 0.10/0.44 ![X0]: (in(sK1_skl(X0,relation_rng(sK12_skl),sK12_skl),sK5_skl)|~in(X0,sK13_skl)|~in(X0,relation_rng(sK12_skl)))),
% 0.10/0.44 inference(forward_subsumption_resolution,[status(thm)],[f245,f107])).
% 0.10/0.44 fof(f255,plain,(
% 0.10/0.44 ![X0]: (~in(X0,sK5_skl))),
% 0.10/0.44 inference(resolution,[status(thm)],[f129,f78])).
% 0.10/0.44 fof(f257,plain,(
% 0.10/0.44 ![X0]: (~relation(sK5_skl)|X0=relation_rng(sK5_skl)|in(sK2_skl(X0,sK5_skl),X0))),
% 0.10/0.44 inference(resolution,[status(thm)],[f255,f61])).
% 0.10/0.44 fof(f262,plain,(
% 0.10/0.44 ![X0]: (~relation(sK5_skl)|X0=sK5_skl|in(sK2_skl(X0,sK5_skl),X0))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f208,f257])).
% 0.10/0.44 fof(f263,plain,(
% 0.10/0.44 ![X0]: (X0=sK5_skl|in(sK2_skl(X0,sK5_skl),X0))),
% 0.10/0.44 inference(forward_subsumption_resolution,[status(thm)],[f262,f79])).
% 0.10/0.44 fof(f309,plain,(
% 0.10/0.44 ![X0]: (~in(X0,sK13_skl)|~in(X0,relation_rng(sK12_skl)))),
% 0.10/0.44 inference(forward_subsumption_resolution,[status(thm)],[f248,f255])).
% 0.10/0.44 fof(f400,plain,(
% 0.10/0.44 in(sK13_skl,powerset(relation_rng(sK12_skl)))),
% 0.10/0.44 inference(resolution,[status(thm)],[f235,f109])).
% 0.10/0.44 fof(f437,plain,(
% 0.10/0.44 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|in(X0,X2))),
% 0.10/0.44 inference(forward_subsumption_resolution,[status(thm)],[f237,f124])).
% 0.10/0.44 fof(f443,plain,(
% 0.10/0.44 ![X0,X1,X2]: (~in(X0,X1)|in(X0,X2)|~in(X1,powerset(X2)))),
% 0.10/0.44 inference(resolution,[status(thm)],[f437,f112])).
% 0.10/0.44 fof(f1450,plain,(
% 0.10/0.44 ![X0]: (~in(X0,sK13_skl)|in(X0,relation_rng(sK12_skl)))),
% 0.10/0.44 inference(resolution,[status(thm)],[f443,f400])).
% 0.10/0.44 fof(f1466,plain,(
% 0.10/0.44 ![X0]: (~in(X0,sK13_skl))),
% 0.10/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1450,f309])).
% 0.10/0.44 fof(f1476,plain,(
% 0.10/0.44 sK13_skl=sK5_skl),
% 0.10/0.44 inference(resolution,[status(thm)],[f1466,f263])).
% 0.10/0.44 fof(f1485,plain,(
% 0.10/0.44 $false),
% 0.10/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1476,f185])).
% 0.10/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.46 % Elapsed time: 0.099041 seconds
% 0.10/0.46 % CPU time: 0.449670 seconds
% 0.10/0.46 % Total memory used: 109.136 MB
% 0.10/0.46 % Net memory used: 108.229 MB
%------------------------------------------------------------------------------