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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR115+28 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 : Tue Sep 29 09:43:23 AM UTC 2026

% Result   : Theorem 2.60s 1.31s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   59 (  15 unt;   5 def)
%            Number of atoms       :  575 (   0 equ)
%            Maximal formula atoms :  106 (   9 avg)
%            Number of connectives :  584 (  68   ~;  50   |; 459   &)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  106 (  11 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   23 (  22 usr;   6 prp; 0-3 aty)
%            Number of functors    :   46 (  46 usr;  44 con; 0-2 aty)
%            Number of variables   :   72 (   0 sgn  57   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_first) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X0,X2)
     => member(X0,cons(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_second) ).

fof(f160,axiom,
    ! [X0,X1,X2] :
      ( ( attr(X2,X0)
        & member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        & sub(X0,X1) )
     => ? [X3] :
          ( mcont(X3,X2)
          & obj(X3,X2)
          & scar(X3,X2)
          & subs(X3,stehen_1_b) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',attr_name__abk__374rzung_stehen_1_b_f__374r) ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5] :
      ( attr(X2,X1)
      & attr(X4,X5)
      & obj(X3,X0)
      & sub(X1,name_1_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_007_mira_news_1201_a19984) ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5] :
        ( attr(X2,X1)
        & attr(X4,X5)
        & obj(X3,X0)
        & sub(X1,name_1_1) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,axiom,
    ( attr(c15,c16)
    & sub(c15,stadt__1_1)
    & sub(c16,name_1_1)
    & val(c16,genf_0)
    & attr(c22,c23)
    & attr(c22,c24)
    & sub(c23,tag_1_1)
    & val(c23,c20)
    & sub(c24,monat_1_1)
    & val(c24,c21)
    & tupl(c75,c15,c22)
    & sort(c15,d)
    & sort(c15,io)
    & card(c15,int1)
    & etype(c15,int0)
    & fact(c15,real)
    & gener(c15,sp)
    & quant(c15,one)
    & refer(c15,det)
    & varia(c15,con)
    & sort(c16,na)
    & card(c16,int1)
    & etype(c16,int0)
    & fact(c16,real)
    & gener(c16,sp)
    & quant(c16,one)
    & refer(c16,indet)
    & varia(c16,varia_c)
    & sort(stadt__1_1,d)
    & sort(stadt__1_1,io)
    & card(stadt__1_1,int1)
    & etype(stadt__1_1,int0)
    & fact(stadt__1_1,real)
    & gener(stadt__1_1,ge)
    & quant(stadt__1_1,one)
    & refer(stadt__1_1,refer_c)
    & varia(stadt__1_1,varia_c)
    & sort(name_1_1,na)
    & card(name_1_1,int1)
    & etype(name_1_1,int0)
    & fact(name_1_1,real)
    & gener(name_1_1,ge)
    & quant(name_1_1,one)
    & refer(name_1_1,refer_c)
    & varia(name_1_1,varia_c)
    & sort(genf_0,fe)
    & sort(c22,t)
    & card(c22,int1)
    & etype(c22,int0)
    & fact(c22,real)
    & gener(c22,sp)
    & quant(c22,one)
    & refer(c22,det)
    & varia(c22,con)
    & sort(c23,me)
    & sort(c23,oa)
    & sort(c23,ta)
    & card(c23,card_c)
    & etype(c23,etype_c)
    & fact(c23,real)
    & gener(c23,sp)
    & quant(c23,quant_c)
    & refer(c23,refer_c)
    & varia(c23,varia_c)
    & sort(c24,me)
    & sort(c24,oa)
    & sort(c24,ta)
    & card(c24,card_c)
    & etype(c24,etype_c)
    & fact(c24,real)
    & gener(c24,sp)
    & quant(c24,quant_c)
    & refer(c24,refer_c)
    & varia(c24,varia_c)
    & sort(tag_1_1,me)
    & sort(tag_1_1,oa)
    & sort(tag_1_1,ta)
    & card(tag_1_1,card_c)
    & etype(tag_1_1,etype_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & quant(tag_1_1,quant_c)
    & refer(tag_1_1,refer_c)
    & varia(tag_1_1,varia_c)
    & sort(c20,nu)
    & card(c20,int7)
    & sort(monat_1_1,me)
    & sort(monat_1_1,oa)
    & sort(monat_1_1,ta)
    & card(monat_1_1,card_c)
    & etype(monat_1_1,etype_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & quant(monat_1_1,quant_c)
    & refer(monat_1_1,refer_c)
    & varia(monat_1_1,varia_c)
    & sort(c21,nu)
    & card(c21,int3)
    & sort(c75,ent)
    & card(c75,card_c)
    & etype(c75,etype_c)
    & fact(c75,real)
    & gener(c75,gener_c)
    & quant(c75,quant_c)
    & refer(c75,refer_c)
    & varia(c75,varia_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1201_a19984) ).

fof(f10216,plain,
    ( attr(c15,c16)
    & sub(c15,stadt__1_1)
    & sub(c16,name_1_1)
    & val(c16,genf_0)
    & attr(c22,c23)
    & attr(c22,c24)
    & sub(c23,tag_1_1)
    & val(c23,c20)
    & sub(c24,monat_1_1)
    & val(c24,c21)
    & tupl(c75,c15,c22)
    & card(c15,int1)
    & etype(c15,int0)
    & fact(c15,real)
    & gener(c15,sp)
    & quant(c15,one)
    & refer(c15,det)
    & varia(c15,con)
    & card(c16,int1)
    & etype(c16,int0)
    & fact(c16,real)
    & gener(c16,sp)
    & quant(c16,one)
    & refer(c16,indet)
    & varia(c16,varia_c)
    & card(stadt__1_1,int1)
    & etype(stadt__1_1,int0)
    & fact(stadt__1_1,real)
    & gener(stadt__1_1,ge)
    & quant(stadt__1_1,one)
    & refer(stadt__1_1,refer_c)
    & varia(stadt__1_1,varia_c)
    & card(name_1_1,int1)
    & etype(name_1_1,int0)
    & fact(name_1_1,real)
    & gener(name_1_1,ge)
    & quant(name_1_1,one)
    & refer(name_1_1,refer_c)
    & varia(name_1_1,varia_c)
    & card(c22,int1)
    & etype(c22,int0)
    & fact(c22,real)
    & gener(c22,sp)
    & quant(c22,one)
    & refer(c22,det)
    & varia(c22,con)
    & card(c23,card_c)
    & etype(c23,etype_c)
    & fact(c23,real)
    & gener(c23,sp)
    & quant(c23,quant_c)
    & refer(c23,refer_c)
    & varia(c23,varia_c)
    & card(c24,card_c)
    & etype(c24,etype_c)
    & fact(c24,real)
    & gener(c24,sp)
    & quant(c24,quant_c)
    & refer(c24,refer_c)
    & varia(c24,varia_c)
    & card(tag_1_1,card_c)
    & etype(tag_1_1,etype_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & quant(tag_1_1,quant_c)
    & refer(tag_1_1,refer_c)
    & varia(tag_1_1,varia_c)
    & card(c20,int7)
    & card(monat_1_1,card_c)
    & etype(monat_1_1,etype_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & quant(monat_1_1,quant_c)
    & refer(monat_1_1,refer_c)
    & varia(monat_1_1,varia_c)
    & card(c21,int3)
    & card(c75,card_c)
    & etype(c75,etype_c)
    & fact(c75,real)
    & gener(c75,gener_c)
    & quant(c75,quant_c)
    & refer(c75,refer_c)
    & varia(c75,varia_c) ),
    inference(pure_predicate_removal,[],[f10190]) ).

fof(f10219,plain,
    ( attr(c15,c16)
    & sub(c15,stadt__1_1)
    & sub(c16,name_1_1)
    & val(c16,genf_0)
    & attr(c22,c23)
    & attr(c22,c24)
    & sub(c23,tag_1_1)
    & val(c23,c20)
    & sub(c24,monat_1_1)
    & val(c24,c21)
    & tupl(c75,c15,c22)
    & card(c15,int1)
    & etype(c15,int0)
    & fact(c15,real)
    & gener(c15,sp)
    & refer(c15,det)
    & varia(c15,con)
    & card(c16,int1)
    & etype(c16,int0)
    & fact(c16,real)
    & gener(c16,sp)
    & refer(c16,indet)
    & varia(c16,varia_c)
    & card(stadt__1_1,int1)
    & etype(stadt__1_1,int0)
    & fact(stadt__1_1,real)
    & gener(stadt__1_1,ge)
    & refer(stadt__1_1,refer_c)
    & varia(stadt__1_1,varia_c)
    & card(name_1_1,int1)
    & etype(name_1_1,int0)
    & fact(name_1_1,real)
    & gener(name_1_1,ge)
    & refer(name_1_1,refer_c)
    & varia(name_1_1,varia_c)
    & card(c22,int1)
    & etype(c22,int0)
    & fact(c22,real)
    & gener(c22,sp)
    & refer(c22,det)
    & varia(c22,con)
    & card(c23,card_c)
    & etype(c23,etype_c)
    & fact(c23,real)
    & gener(c23,sp)
    & refer(c23,refer_c)
    & varia(c23,varia_c)
    & card(c24,card_c)
    & etype(c24,etype_c)
    & fact(c24,real)
    & gener(c24,sp)
    & refer(c24,refer_c)
    & varia(c24,varia_c)
    & card(tag_1_1,card_c)
    & etype(tag_1_1,etype_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & refer(tag_1_1,refer_c)
    & varia(tag_1_1,varia_c)
    & card(c20,int7)
    & card(monat_1_1,card_c)
    & etype(monat_1_1,etype_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & refer(monat_1_1,refer_c)
    & varia(monat_1_1,varia_c)
    & card(c21,int3)
    & card(c75,card_c)
    & etype(c75,etype_c)
    & fact(c75,real)
    & gener(c75,gener_c)
    & refer(c75,refer_c)
    & varia(c75,varia_c) ),
    inference(pure_predicate_removal,[],[f10216]) ).

fof(f10222,plain,
    ( attr(c15,c16)
    & sub(c15,stadt__1_1)
    & sub(c16,name_1_1)
    & val(c16,genf_0)
    & attr(c22,c23)
    & attr(c22,c24)
    & sub(c23,tag_1_1)
    & val(c23,c20)
    & sub(c24,monat_1_1)
    & val(c24,c21)
    & tupl(c75,c15,c22)
    & etype(c15,int0)
    & fact(c15,real)
    & gener(c15,sp)
    & refer(c15,det)
    & varia(c15,con)
    & etype(c16,int0)
    & fact(c16,real)
    & gener(c16,sp)
    & refer(c16,indet)
    & varia(c16,varia_c)
    & etype(stadt__1_1,int0)
    & fact(stadt__1_1,real)
    & gener(stadt__1_1,ge)
    & refer(stadt__1_1,refer_c)
    & varia(stadt__1_1,varia_c)
    & etype(name_1_1,int0)
    & fact(name_1_1,real)
    & gener(name_1_1,ge)
    & refer(name_1_1,refer_c)
    & varia(name_1_1,varia_c)
    & etype(c22,int0)
    & fact(c22,real)
    & gener(c22,sp)
    & refer(c22,det)
    & varia(c22,con)
    & etype(c23,etype_c)
    & fact(c23,real)
    & gener(c23,sp)
    & refer(c23,refer_c)
    & varia(c23,varia_c)
    & etype(c24,etype_c)
    & fact(c24,real)
    & gener(c24,sp)
    & refer(c24,refer_c)
    & varia(c24,varia_c)
    & etype(tag_1_1,etype_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & refer(tag_1_1,refer_c)
    & varia(tag_1_1,varia_c)
    & etype(monat_1_1,etype_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & refer(monat_1_1,refer_c)
    & varia(monat_1_1,varia_c)
    & etype(c75,etype_c)
    & fact(c75,real)
    & gener(c75,gener_c)
    & refer(c75,refer_c)
    & varia(c75,varia_c) ),
    inference(pure_predicate_removal,[],[f10219]) ).

fof(f10225,plain,
    ( attr(c15,c16)
    & sub(c15,stadt__1_1)
    & sub(c16,name_1_1)
    & val(c16,genf_0)
    & attr(c22,c23)
    & attr(c22,c24)
    & sub(c23,tag_1_1)
    & val(c23,c20)
    & sub(c24,monat_1_1)
    & val(c24,c21)
    & tupl(c75,c15,c22)
    & etype(c15,int0)
    & fact(c15,real)
    & gener(c15,sp)
    & varia(c15,con)
    & etype(c16,int0)
    & fact(c16,real)
    & gener(c16,sp)
    & varia(c16,varia_c)
    & etype(stadt__1_1,int0)
    & fact(stadt__1_1,real)
    & gener(stadt__1_1,ge)
    & varia(stadt__1_1,varia_c)
    & etype(name_1_1,int0)
    & fact(name_1_1,real)
    & gener(name_1_1,ge)
    & varia(name_1_1,varia_c)
    & etype(c22,int0)
    & fact(c22,real)
    & gener(c22,sp)
    & varia(c22,con)
    & etype(c23,etype_c)
    & fact(c23,real)
    & gener(c23,sp)
    & varia(c23,varia_c)
    & etype(c24,etype_c)
    & fact(c24,real)
    & gener(c24,sp)
    & varia(c24,varia_c)
    & etype(tag_1_1,etype_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & varia(tag_1_1,varia_c)
    & etype(monat_1_1,etype_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & varia(monat_1_1,varia_c)
    & etype(c75,etype_c)
    & fact(c75,real)
    & gener(c75,gener_c)
    & varia(c75,varia_c) ),
    inference(pure_predicate_removal,[],[f10222]) ).

fof(f10230,plain,
    ( attr(c15,c16)
    & sub(c15,stadt__1_1)
    & sub(c16,name_1_1)
    & val(c16,genf_0)
    & attr(c22,c23)
    & attr(c22,c24)
    & sub(c23,tag_1_1)
    & val(c23,c20)
    & sub(c24,monat_1_1)
    & val(c24,c21)
    & tupl(c75,c15,c22)
    & etype(c15,int0)
    & fact(c15,real)
    & gener(c15,sp)
    & etype(c16,int0)
    & fact(c16,real)
    & gener(c16,sp)
    & etype(stadt__1_1,int0)
    & fact(stadt__1_1,real)
    & gener(stadt__1_1,ge)
    & etype(name_1_1,int0)
    & fact(name_1_1,real)
    & gener(name_1_1,ge)
    & etype(c22,int0)
    & fact(c22,real)
    & gener(c22,sp)
    & etype(c23,etype_c)
    & fact(c23,real)
    & gener(c23,sp)
    & etype(c24,etype_c)
    & fact(c24,real)
    & gener(c24,sp)
    & etype(tag_1_1,etype_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & etype(monat_1_1,etype_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & etype(c75,etype_c)
    & fact(c75,real)
    & gener(c75,gener_c) ),
    inference(pure_predicate_removal,[],[f10225]) ).

fof(f10235,plain,
    ( attr(c15,c16)
    & sub(c15,stadt__1_1)
    & sub(c16,name_1_1)
    & val(c16,genf_0)
    & attr(c22,c23)
    & attr(c22,c24)
    & sub(c23,tag_1_1)
    & val(c23,c20)
    & sub(c24,monat_1_1)
    & val(c24,c21)
    & tupl(c75,c15,c22)
    & etype(c15,int0)
    & fact(c15,real)
    & etype(c16,int0)
    & fact(c16,real)
    & etype(stadt__1_1,int0)
    & fact(stadt__1_1,real)
    & etype(name_1_1,int0)
    & fact(name_1_1,real)
    & etype(c22,int0)
    & fact(c22,real)
    & etype(c23,etype_c)
    & fact(c23,real)
    & etype(c24,etype_c)
    & fact(c24,real)
    & etype(tag_1_1,etype_c)
    & fact(tag_1_1,real)
    & etype(monat_1_1,etype_c)
    & fact(monat_1_1,real)
    & etype(c75,etype_c)
    & fact(c75,real) ),
    inference(pure_predicate_removal,[],[f10230]) ).

fof(f10238,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ attr(X2,X1)
      | ~ attr(X4,X5)
      | ~ obj(X3,X0)
      | ~ sub(X1,name_1_1) ),
    inference(ennf_transformation,[],[f10189]) ).

fof(f10329,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( mcont(X3,X2)
          & obj(X3,X2)
          & scar(X3,X2)
          & subs(X3,stehen_1_b) )
      | ~ attr(X2,X0)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X0,X1) ),
    inference(ennf_transformation,[],[f160]) ).

fof(f10330,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( mcont(X3,X2)
          & obj(X3,X2)
          & scar(X3,X2)
          & subs(X3,stehen_1_b) )
      | ~ attr(X2,X0)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X0,X1) ),
    inference(flattening,[],[f10329]) ).

fof(f10358,plain,
    ! [X0,X1,X2] :
      ( member(X0,cons(X1,X2))
      | ~ member(X0,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f10397,plain,
    ! [X0,X1,X2] :
      ( ( mcont(sK25(X2),X2)
        & obj(sK25(X2),X2)
        & scar(sK25(X2),X2)
        & subs(sK25(X2),stehen_1_b) )
      | ~ attr(X2,X0)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X3,sK25(X2))],[f10330]) ).

fof(f10410,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ attr(X2,X1)
      | ~ attr(X4,X5)
      | ~ obj(X3,X0)
      | ~ sub(X1,name_1_1) ),
    inference(cnf_transformation,[],[f10238]) ).

fof(f10436,plain,
    attr(c22,c24),
    inference(cnf_transformation,[],[f10235]) ).

fof(f10439,plain,
    sub(c16,name_1_1),
    inference(cnf_transformation,[],[f10235]) ).

fof(f10441,plain,
    attr(c15,c16),
    inference(cnf_transformation,[],[f10235]) ).

fof(f10597,plain,
    ! [X2,X0,X1] :
      ( ~ attr(X2,X0)
      | obj(sK25(X2),X2)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X0,X1) ),
    inference(cnf_transformation,[],[f10397]) ).

fof(f10649,plain,
    ! [X2,X0,X1] :
      ( member(X0,cons(X1,X2))
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f10358]) ).

fof(f10650,plain,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    inference(cnf_transformation,[],[f1]) ).

fof(f10712,definition,
    ( spl42_1
  <=> ! [X0,X3] : ~ obj(X3,X0) ),
    introduced(definition,[new_symbols(definition,[spl42_1])],[avatar_definition]) ).

fof(f10713,plain,
    ( ! [X3,X0] : ~ obj(X3,X0)
    | ~ spl42_1 ),
    inference(avatar_component_clause,[],[f10712]) ).

fof(f10715,definition,
    ( spl42_2
  <=> ! [X4,X5] : ~ attr(X4,X5) ),
    introduced(definition,[new_symbols(definition,[spl42_2])],[avatar_definition]) ).

fof(f10716,plain,
    ( ! [X4,X5] : ~ attr(X4,X5)
    | ~ spl42_2 ),
    inference(avatar_component_clause,[],[f10715]) ).

fof(f10718,definition,
    ( spl42_3
  <=> ! [X2,X1] :
        ( ~ attr(X2,X1)
        | ~ sub(X1,name_1_1) ) ),
    introduced(definition,[new_symbols(definition,[spl42_3])],[avatar_definition]) ).

fof(f10719,plain,
    ( ! [X2,X1] :
        ( ~ attr(X2,X1)
        | ~ sub(X1,name_1_1) )
    | ~ spl42_3 ),
    inference(avatar_component_clause,[],[f10718]) ).

fof(f10720,plain,
    ( spl42_1
    | spl42_2
    | spl42_3 ),
    inference(avatar_split_clause,[],[f10410,f10718,f10715,f10712]) ).

fof(f10721,plain,
    ( $false
    | ~ spl42_2 ),
    inference(resolution,[],[f10436,f10716]) ).

fof(f10722,plain,
    ~ spl42_2,
    inference(avatar_contradiction_clause,[],[f10721]) ).

fof(f10725,plain,
    ( ~ sub(c16,name_1_1)
    | ~ spl42_3 ),
    inference(resolution,[],[f10441,f10719]) ).

fof(f10726,plain,
    ( $false
    | ~ spl42_3 ),
    inference(resolution,[],[f10725,f10439]) ).

fof(f10727,plain,
    ~ spl42_3,
    inference(avatar_contradiction_clause,[],[f10726]) ).

fof(f11337,definition,
    ( spl42_33
  <=> ! [X0] :
        ( ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(c16,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl42_33])],[avatar_definition]) ).

fof(f11338,plain,
    ( ! [X0] :
        ( ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(c16,X0) )
    | ~ spl42_33 ),
    inference(avatar_component_clause,[],[f11337]) ).

fof(f11355,plain,
    ( ! [X0] :
        ( ~ member(X0,cons(familiename_1_1,cons(name_1_1,nil)))
        | ~ sub(c16,X0) )
    | ~ spl42_33 ),
    inference(resolution,[],[f11338,f10649]) ).

fof(f11361,plain,
    ( ! [X0] :
        ( ~ member(X0,cons(name_1_1,nil))
        | ~ sub(c16,X0) )
    | ~ spl42_33 ),
    inference(resolution,[],[f11355,f10649]) ).

fof(f11363,plain,
    ( ~ sub(c16,name_1_1)
    | ~ spl42_33 ),
    inference(resolution,[],[f11361,f10650]) ).

fof(f11379,plain,
    ( $false
    | ~ spl42_33 ),
    inference(resolution,[],[f11363,f10439]) ).

fof(f11381,plain,
    ~ spl42_33,
    inference(avatar_contradiction_clause,[],[f11379]) ).

fof(f11556,plain,
    ! [X0] :
      ( obj(sK25(c15),c15)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(c16,X0) ),
    inference(resolution,[],[f10597,f10441]) ).

fof(f11558,definition,
    ( spl42_63
  <=> obj(sK25(c15),c15) ),
    introduced(definition,[new_symbols(definition,[spl42_63])],[avatar_definition]) ).

fof(f11559,plain,
    ( obj(sK25(c15),c15)
    | ~ spl42_63 ),
    inference(avatar_component_clause,[],[f11558]) ).

fof(f11560,plain,
    ( spl42_33
    | spl42_63 ),
    inference(avatar_split_clause,[],[f11556,f11558,f11337]) ).

fof(f11561,plain,
    ( $false
    | ~ spl42_1
    | ~ spl42_63 ),
    inference(resolution,[],[f11559,f10713]) ).

fof(f11562,plain,
    ( ~ spl42_1
    | ~ spl42_63 ),
    inference(avatar_contradiction_clause,[],[f11561]) ).

cnf(s1,plain,
    ( spl42_1
    | spl42_2
    | spl42_3 ),
    inference(sat_conversion,[],[f10720]) ).

cnf(s2,plain,
    ~ spl42_2,
    inference(sat_conversion,[],[f10722]) ).

cnf(s3,plain,
    ~ spl42_3,
    inference(sat_conversion,[],[f10727]) ).

cnf(s26,plain,
    ~ spl42_33,
    inference(sat_conversion,[],[f11381]) ).

cnf(s46,plain,
    ( spl42_33
    | spl42_63 ),
    inference(sat_conversion,[],[f11560]) ).

cnf(s47,plain,
    ( ~ spl42_1
    | ~ spl42_63 ),
    inference(sat_conversion,[],[f11562]) ).

cnf(s48,plain,
    spl42_63,
    inference(rat,[],[s46,s26]) ).

cnf(s50,plain,
    ~ spl42_1,
    inference(rat,[],[s47,s48]) ).

cnf(s52,plain,
    $false,
    inference(rat,[],[s1,s3,s2,s50]) ).

fof(f11563,plain,
    $false,
    inference(avatar_sat_refutation,[],[s52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+28 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n006.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 23:13:40 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.60/1.31  % (302641)Detected formulas, will run a generic FOF schedule.
% 2.60/1.31  % (302651)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3014333437:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 2.60/1.31  % (302651)Instruction limit reached! 
% 2.60/1.31  % (302651)------------------------------
% 2.60/1.31  % (302651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.31  % (302651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.31  % (302651)CaDiCaL version: 2.1.3
% 2.60/1.31  % (302651)Termination reason: Instruction limit
% 2.60/1.31  % (302651)Termination phase: Saturation
% 2.60/1.31  % (302651)Time elapsed: 0.037 s
% 2.60/1.31  % (302651)Peak memory usage: 97 MB
% 2.60/1.31  % (302651)Instructions burned: 141 (million)
% 2.60/1.31  % (302652)dis-21_1_sil=8000:lcm=predicate:random_seed=1686547382:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 2.60/1.31  % (302649)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3169443972:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 2.60/1.31  % (302650)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3099451216:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 2.60/1.31  % (302647)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=566085484:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 2.60/1.31  % (302648)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=477611957:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 2.60/1.31  % (302646)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1083314818:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 2.60/1.31  % (302649)Refutation not found, incomplete strategy
% 2.60/1.31  % (302649)------------------------------
% 2.60/1.31  % (302649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.31  % (302649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.31  % (302649)CaDiCaL version: 2.1.3
% 2.60/1.31  % (302649)Termination reason: Refutation not found, incomplete strategy
% 2.60/1.31  % (302649)Time elapsed: 0.026 s
% 2.60/1.31  % (302649)Peak memory usage: 97 MB
% 2.60/1.31  % (302649)Instructions burned: 53 (million)
% 2.60/1.31  % (302650)Refutation not found, incomplete strategy
% 2.60/1.31  % (302650)------------------------------
% 2.60/1.31  % (302650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.31  % (302650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.31  % (302650)CaDiCaL version: 2.1.3
% 2.60/1.31  % (302650)Termination reason: Refutation not found, incomplete strategy
% 2.60/1.31  % (302650)Time elapsed: 0.027 s
% 2.60/1.31  % (302650)Peak memory usage: 97 MB
% 2.60/1.31  % (302650)Instructions burned: 54 (million)
% 2.60/1.31  % (302652)First to succeed.
% 2.60/1.31  % (302652)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-302641"
% 2.60/1.31  % (302660)lrs+10_1_sil=8000:sp=occurrence:random_seed=3095055714:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 2.60/1.31  % (302660)Also succeeded, but the first one will report.
% 2.60/1.31  % (302650)------------------------------
% 2.60/1.31  % (302650)------------------------------
% 2.60/1.31  % (302649)------------------------------
% 2.60/1.31  % (302649)------------------------------
% 2.60/1.31  % (302652)Refutation found. Thanks to Tanya!
% 2.60/1.31  % SZS status Theorem for theBenchmark
% 2.60/1.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.50  % (302652)------------------------------
% 0.19/1.50  % (302652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.50  % (302652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.50  % (302652)CaDiCaL version: 2.1.3
% 0.19/1.50  % (302652)Termination reason: Refutation
% 0.19/1.50  % (302652)Time elapsed: 0.058 s
% 0.19/1.50  % (302652)Peak memory usage: 99 MB
% 0.19/1.50  % (302652)Instructions burned: 101 (million)
% 0.19/1.50  % (302652)------------------------------
% 0.19/1.50  % (302652)------------------------------
% 0.19/1.50  % (302641)Success in time 0.644 s
% 0.19/1.50  % Vampire exiting
%------------------------------------------------------------------------------