%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU162+2 : 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 02:21:51 PM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU162+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:54:02 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f6,axiom,(
% 0.11/0.40 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f7,axiom,(
% 0.11/0.40 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f8,axiom,(
% 0.11/0.40 (! [A] :( A = empty_set<=> (! [B] : ~ in(B,A) )) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f16,axiom,(
% 0.11/0.40 (! [A,B,C] :( C = set_difference(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& ~ in(D,B) ) ) )) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f42,lemma,(
% 0.11/0.40 (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f43,lemma,(
% 0.11/0.40 (! [A,B,C] :( subset(A,B)=> ( in(C,A)| subset(A,set_difference(B,singleton(C))) ) ) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f47,axiom,(
% 0.11/0.40 (? [A] : empty(A) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f65,lemma,(
% 0.11/0.40 (! [A,B] : subset(set_difference(A,B),A) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f71,axiom,(
% 0.11/0.40 (! [A] : set_difference(A,empty_set) = A )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f78,axiom,(
% 0.11/0.40 (! [A] : set_difference(empty_set,A) = empty_set )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f82,conjecture,(
% 0.11/0.40 (! [A,B] :( set_difference(A,singleton(B)) = A<=> ~ in(B,A) ) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f83,negated_conjecture,(
% 0.11/0.40 ~((! [A,B] :( set_difference(A,singleton(B)) = A<=> ~ in(B,A) ) ))),
% 0.11/0.40 inference(negated_conjecture,[status(cth)],[f82])).
% 0.11/0.40 fof(f85,axiom,(
% 0.11/0.40 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f101,plain,(
% 0.11/0.40 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f6])).
% 0.11/0.40 fof(f102,plain,(
% 0.11/0.40 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f101])).
% 0.11/0.40 fof(f105,plain,(
% 0.11/0.40 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f102])).
% 0.11/0.40 fof(f106,plain,(
% 0.11/0.40 ![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)))))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f7])).
% 0.11/0.40 fof(f107,plain,(
% 0.11/0.40 (![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)))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f106])).
% 0.11/0.40 fof(f108,plain,(
% 0.11/0.40 (![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))))),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f107])).
% 0.11/0.40 fof(f110,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f108])).
% 0.11/0.40 fof(f113,plain,(
% 0.11/0.40 ![A]: ((~A=empty_set|(![B]: ~in(B,A)))&(A=empty_set|(?[B]: in(B,A))))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f8])).
% 0.11/0.40 fof(f114,plain,(
% 0.11/0.40 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|(?[B]: in(B,A))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f113])).
% 0.11/0.40 fof(f115,plain,(
% 0.11/0.40 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|in(sK1_skl(A),A)))),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(B,sK1_skl(A))],[f114])).
% 0.11/0.40 fof(f116,plain,(
% 0.11/0.40 ![X0,X1]: (~X0=empty_set|~in(X1,X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.11/0.40 fof(f177,plain,(
% 0.11/0.40 ![A,B,C]: ((~C=set_difference(A,B)|(![D]: ((~in(D,C)|(in(D,A)&~in(D,B)))&(in(D,C)|(~in(D,A)|in(D,B))))))&(C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f16])).
% 0.11/0.40 fof(f178,plain,(
% 0.11/0.40 (![A,B,C]: (~C=set_difference(A,B)|((![D]: (~in(D,C)|(in(D,A)&~in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|in(D,B)))))))&(![A,B,C]: (C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f177])).
% 0.11/0.40 fof(f179,plain,(
% 0.11/0.40 (![A,B,C]: (~C=set_difference(A,B)|((![D]: (~in(D,C)|(in(D,A)&~in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|in(D,B)))))))&(![A,B,C]: (C=set_difference(A,B)|((~in(sK15_skl(C,B,A),C)|(~in(sK15_skl(C,B,A),A)|in(sK15_skl(C,B,A),B)))&(in(sK15_skl(C,B,A),C)|(in(sK15_skl(C,B,A),A)&~in(sK15_skl(C,B,A),B))))))),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(D,sK15_skl(C,B,A))],[f178])).
% 0.11/0.40 fof(f181,plain,(
% 0.11/0.40 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|~in(X3,X2))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f179])).
% 0.11/0.40 fof(f221,plain,(
% 0.11/0.40 ![A,B]: ((~set_difference(A,B)=empty_set|subset(A,B))&(set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f42])).
% 0.11/0.40 fof(f222,plain,(
% 0.11/0.40 (![A,B]: (~set_difference(A,B)=empty_set|subset(A,B)))&(![A,B]: (set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f221])).
% 0.11/0.40 fof(f223,plain,(
% 0.11/0.40 ![X0,X1]: (~set_difference(X0,X1)=empty_set|subset(X0,X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f222])).
% 0.11/0.40 fof(f224,plain,(
% 0.11/0.40 ![X0,X1]: (set_difference(X0,X1)=empty_set|~subset(X0,X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f222])).
% 0.11/0.40 fof(f225,plain,(
% 0.11/0.40 ![A,B,C]: (~subset(A,B)|(in(C,A)|subset(A,set_difference(B,singleton(C)))))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.11/0.40 fof(f226,plain,(
% 0.11/0.40 ![A,B]: (~subset(A,B)|(![C]: (in(C,A)|subset(A,set_difference(B,singleton(C))))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f225])).
% 0.11/0.40 fof(f227,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~subset(X0,X1)|in(X2,X0)|subset(X0,set_difference(X1,singleton(X2))))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f226])).
% 0.11/0.40 fof(f240,plain,(
% 0.11/0.40 empty(sK16_skl)),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl]),skolemize(A,sK16_skl)],[f47])).
% 0.11/0.40 fof(f241,plain,(
% 0.11/0.40 empty(sK16_skl)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f240])).
% 0.11/0.40 fof(f279,plain,(
% 0.11/0.40 ![X0,X1]: (subset(set_difference(X0,X1),X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.11/0.40 fof(f299,plain,(
% 0.11/0.40 ![X0]: (set_difference(X0,empty_set)=X0)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f71])).
% 0.11/0.40 fof(f314,plain,(
% 0.11/0.40 ![X0]: (set_difference(empty_set,X0)=empty_set)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f78])).
% 0.11/0.40 fof(f325,plain,(
% 0.11/0.40 (?[A,B]: (set_difference(A,singleton(B))=A<~>~in(B,A)))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 0.11/0.40 fof(f326,plain,(
% 0.11/0.40 ?[A,B]: ((set_difference(A,singleton(B))=A|~in(B,A))&(~set_difference(A,singleton(B))=A|in(B,A)))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f325])).
% 0.11/0.40 fof(f327,plain,(
% 0.11/0.40 ((set_difference(sK21_skl,singleton(sK22_skl))=sK21_skl|~in(sK22_skl,sK21_skl))&(~set_difference(sK21_skl,singleton(sK22_skl))=sK21_skl|in(sK22_skl,sK21_skl)))),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl]),skolemize(A,sK21_skl),skolemize(B,sK22_skl)],[f326])).
% 0.11/0.40 fof(f328,plain,(
% 0.11/0.40 set_difference(sK21_skl,singleton(sK22_skl))=sK21_skl|~in(sK22_skl,sK21_skl)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f327])).
% 0.11/0.40 fof(f329,plain,(
% 0.11/0.40 ~set_difference(sK21_skl,singleton(sK22_skl))=sK21_skl|in(sK22_skl,sK21_skl)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f327])).
% 0.11/0.40 fof(f331,plain,(
% 0.11/0.40 ![A]: (~empty(A)|A=empty_set)),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f85])).
% 0.11/0.40 fof(f332,plain,(
% 0.11/0.40 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f331])).
% 0.11/0.40 fof(f360,definition,(
% 0.11/0.40 sQ0_spl <=> (set_difference(sK21_skl,singleton(sK22_skl))=sK21_skl)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f361,plain,(
% 0.11/0.40 set_difference(sK21_skl,singleton(sK22_skl))=sK21_skl|~sQ0_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f360])).
% 0.11/0.40 fof(f363,definition,(
% 0.11/0.40 sQ1_spl <=> (in(sK22_skl,sK21_skl))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f365,plain,(
% 0.11/0.40 ~in(sK22_skl,sK21_skl)|sQ1_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f363])).
% 0.11/0.40 fof(f366,plain,(
% 0.11/0.40 sQ0_spl|~sQ1_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f328,f360,f363])).
% 0.11/0.40 fof(f367,plain,(
% 0.11/0.40 ~sQ0_spl|sQ1_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f329,f360,f363])).
% 0.11/0.40 fof(f371,plain,(
% 0.11/0.40 ![X0]: (in(X0,singleton(X0)))),
% 0.11/0.40 inference(destructive_equality_resolution,[status(thm)],[f110])).
% 0.11/0.40 fof(f372,plain,(
% 0.11/0.40 ![X0]: (~in(X0,empty_set))),
% 0.11/0.40 inference(destructive_equality_resolution,[status(thm)],[f116])).
% 0.11/0.40 fof(f390,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|~in(X0,X2))),
% 0.11/0.40 inference(destructive_equality_resolution,[status(thm)],[f181])).
% 0.11/0.40 fof(f398,plain,(
% 0.11/0.40 ![X0]: (subset(X0,X0))),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f299,f279])).
% 0.11/0.40 fof(f408,plain,(
% 0.11/0.40 ![X0]: (~empty_set=empty_set|subset(empty_set,X0))),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f314,f223])).
% 0.11/0.40 fof(f410,definition,(
% 0.11/0.40 sQ2_spl <=> (empty_set=empty_set)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f412,plain,(
% 0.11/0.40 ~empty_set=empty_set|sQ2_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f410])).
% 0.11/0.40 fof(f413,definition,(
% 0.11/0.40 ![X0]: (sQ3_spl <=> (subset(empty_set,X0)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f416,plain,(
% 0.11/0.40 ~sQ2_spl|sQ3_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f408,f410,f413])).
% 0.11/0.40 fof(f418,plain,(
% 0.11/0.40 $false|sQ2_spl),
% 0.11/0.40 inference(trivial_equality_resolution,[status(thm)],[f412])).
% 0.11/0.40 fof(f419,plain,(
% 0.11/0.40 sQ2_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f418])).
% 0.11/0.40 fof(f435,plain,(
% 0.11/0.40 ![X0]: (~in(X0,sK21_skl)|~in(X0,singleton(sK22_skl))|~sQ0_spl)),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f361,f390])).
% 0.11/0.40 fof(f446,plain,(
% 0.11/0.40 ~in(sK22_skl,sK21_skl)|~sQ0_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f435,f371])).
% 0.11/0.40 fof(f447,plain,(
% 0.11/0.40 ~sQ1_spl|~sQ0_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f446,f363,f360])).
% 0.11/0.40 fof(f449,plain,(
% 0.11/0.40 ![X0,X1]: (set_difference(set_difference(X0,X1),X0)=empty_set)),
% 0.11/0.40 inference(resolution,[status(thm)],[f224,f279])).
% 0.11/0.40 fof(f450,plain,(
% 0.11/0.40 ![X0]: (set_difference(X0,X0)=empty_set)),
% 0.11/0.40 inference(resolution,[status(thm)],[f224,f398])).
% 0.11/0.40 fof(f458,plain,(
% 0.11/0.40 ![X0]: (~empty_set=empty_set|subset(X0,X0))),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f450,f223])).
% 0.11/0.40 fof(f460,definition,(
% 0.11/0.40 ![X0]: (sQ6_spl <=> (subset(X0,X0)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f463,plain,(
% 0.11/0.40 ~sQ2_spl|sQ6_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f458,f410,f460])).
% 0.11/0.40 fof(f473,plain,(
% 0.11/0.40 ![X0,X1]: (~empty_set=empty_set|subset(set_difference(X0,X1),X0))),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f449,f223])).
% 0.11/0.40 fof(f475,definition,(
% 0.11/0.40 ![X0,X1]: (sQ7_spl <=> (subset(set_difference(X0,X1),X0)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f478,plain,(
% 0.11/0.40 ~sQ2_spl|sQ7_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f473,f410,f475])).
% 0.11/0.40 fof(f482,plain,(
% 0.11/0.40 ![X0,X1]: (in(X0,X1)|subset(X1,set_difference(X1,singleton(X0))))),
% 0.11/0.40 inference(resolution,[status(thm)],[f227,f398])).
% 0.11/0.40 fof(f489,plain,(
% 0.11/0.40 sK16_skl=empty_set),
% 0.11/0.40 inference(resolution,[status(thm)],[f332,f241])).
% 0.11/0.40 fof(f497,plain,(
% 0.11/0.40 ![X0]: (~in(X0,sK16_skl))),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f489,f372])).
% 0.11/0.40 fof(f500,plain,(
% 0.11/0.40 ![X0,X1]: (~set_difference(X0,X1)=sK16_skl|subset(X0,X1))),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f489,f223])).
% 0.11/0.40 fof(f501,plain,(
% 0.11/0.40 ![X0]: (set_difference(empty_set,X0)=sK16_skl)),
% 0.11/0.40 inference(backward_demodulation,[status(thm)],[f489,f314])).
% 0.11/0.40 fof(f503,plain,(
% 0.11/0.40 ![X0]: (set_difference(sK16_skl,X0)=sK16_skl)),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f489,f501])).
% 0.11/0.40 fof(f537,plain,(
% 0.11/0.40 ![X0,X1]: (X0=set_difference(X0,X1)|~subset(X0,set_difference(X0,X1)))),
% 0.11/0.40 inference(resolution,[status(thm)],[f105,f279])).
% 0.11/0.40 fof(f571,plain,(
% 0.11/0.40 ![X0]: (~sK16_skl=sK16_skl|subset(sK16_skl,X0))),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f503,f500])).
% 0.11/0.40 fof(f574,definition,(
% 0.11/0.40 sQ8_spl <=> (sK16_skl=sK16_skl)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f576,plain,(
% 0.11/0.40 ~sK16_skl=sK16_skl|sQ8_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f574])).
% 0.11/0.40 fof(f578,definition,(
% 0.11/0.40 ![X0]: (sQ9_spl <=> (subset(sK16_skl,X0)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f581,plain,(
% 0.11/0.40 ~sQ8_spl|sQ9_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f571,f574,f578])).
% 0.11/0.40 fof(f584,plain,(
% 0.11/0.40 $false|sQ8_spl),
% 0.11/0.40 inference(trivial_equality_resolution,[status(thm)],[f576])).
% 0.11/0.40 fof(f585,plain,(
% 0.11/0.40 sQ8_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f584])).
% 0.11/0.40 fof(f588,plain,(
% 0.11/0.40 ![X0]: (sK16_skl=set_difference(sK16_skl,X0)|~subset(sK16_skl,sK16_skl))),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f503,f537])).
% 0.11/0.40 fof(f592,definition,(
% 0.11/0.40 ![X0]: (sQ10_spl <=> (sK16_skl=set_difference(sK16_skl,X0)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f595,definition,(
% 0.11/0.40 sQ11_spl <=> (subset(sK16_skl,sK16_skl))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f598,plain,(
% 0.11/0.41 sQ10_spl|~sQ11_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f588,f592,f595])).
% 0.11/0.41 fof(f608,plain,(
% 0.11/0.41 ![X0,X1]: (in(X0,X1)|X1=set_difference(X1,singleton(X0)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f482,f537])).
% 0.11/0.41 fof(f614,plain,(
% 0.11/0.41 ![X0]: (in(X0,sK16_skl)|subset(sK16_skl,sK16_skl))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f503,f482])).
% 0.11/0.41 fof(f617,definition,(
% 0.11/0.41 ![X0]: (sQ12_spl <=> (in(X0,sK16_skl)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f618,plain,(
% 0.11/0.41 ![X0]: (in(X0,sK16_skl)|~sQ12_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f617])).
% 0.11/0.41 fof(f620,plain,(
% 0.11/0.41 sQ12_spl|sQ11_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f614,f617,f595])).
% 0.11/0.41 fof(f621,plain,(
% 0.11/0.41 $false|~sQ12_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f618,f497])).
% 0.11/0.41 fof(f622,plain,(
% 0.11/0.41 ~sQ12_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f621])).
% 0.11/0.41 fof(f624,plain,(
% 0.11/0.41 sK21_skl=set_difference(sK21_skl,singleton(sK22_skl))|sQ1_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f608,f365])).
% 0.11/0.41 fof(f633,plain,(
% 0.11/0.41 sQ0_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f624,f360,f363])).
% 0.11/0.41 fof(f634,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(sat_refutation,[status(thm)],[f366,f367,f416,f419,f447,f463,f478,f581,f585,f598,f620,f622,f633])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.062731 seconds
% 0.11/0.43 % CPU time: 0.174607 seconds
% 0.11/0.43 % Total memory used: 107.042 MB
% 0.11/0.43 % Net memory used: 106.908 MB
%------------------------------------------------------------------------------