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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR114+27 : 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 : n019.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 09:43:18 AM UTC 2026

% Result   : Theorem 3.09s 1.30s
% Output   : Refutation 4.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   61 (  15 unt;   5 def)
%            Number of atoms       :  668 (   0 equ)
%            Maximal formula atoms :  105 (  10 avg)
%            Number of connectives :  700 (  93   ~;  74   |; 527   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  105 (  13 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   3 prp; 0-2 aty)
%            Number of functors    :   33 (  33 usr;  32 con; 0-2 aty)
%            Number of variables   :   67 (   0 sgn  55   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f180,axiom,
    ! [X0,X1] :
      ( loc(X0,X1)
     => ? [X2] :
          ( loc(X2,X1)
          & scar(X2,X0)
          & subs(X2,stehen_1_1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',loc__stehen_1_1_loc) ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4] :
      ( in(X2,X0)
      & attr(X0,X1)
      & loc(X4,X2)
      & scar(X4,X3)
      & sub(X1,name_1_1)
      & sub(X0,stadt__1_1)
      & sub(X3,kolosseum_1_1)
      & subs(X4,stehen_1_1)
      & val(X1,rom_0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_004_qapw_90) ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4] :
        ( in(X2,X0)
        & attr(X0,X1)
        & loc(X4,X2)
        & scar(X4,X3)
        & sub(X1,name_1_1)
        & sub(X0,stadt__1_1)
        & sub(X3,kolosseum_1_1)
        & subs(X4,stehen_1_1)
        & val(X1,rom_0) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,axiom,
    ( obj(c16,c21)
    & subs(c16,aufnehmen_1_1)
    & loc(c21,c35)
    & sub(c21,konzert__1_1)
    & loc(c25,c34)
    & sub(c25,kolosseum_1_1)
    & attr(c31,c32)
    & sub(c31,stadt__1_1)
    & sub(c32,name_1_1)
    & val(c32,rom_0)
    & in(c34,c31)
    & in(c35,c25)
    & sort(c16,dn)
    & fact(c16,real)
    & gener(c16,sp)
    & sort(c21,ad)
    & sort(c21,d)
    & sort(c21,io)
    & card(c21,int1)
    & etype(c21,int0)
    & fact(c21,real)
    & gener(c21,sp)
    & quant(c21,one)
    & refer(c21,det)
    & varia(c21,con)
    & sort(aufnehmen_1_1,dn)
    & fact(aufnehmen_1_1,real)
    & gener(aufnehmen_1_1,ge)
    & sort(c35,l)
    & card(c35,int1)
    & etype(c35,int0)
    & fact(c35,real)
    & gener(c35,sp)
    & quant(c35,one)
    & refer(c35,det)
    & varia(c35,con)
    & sort(konzert__1_1,ad)
    & sort(konzert__1_1,d)
    & sort(konzert__1_1,io)
    & card(konzert__1_1,int1)
    & etype(konzert__1_1,int0)
    & fact(konzert__1_1,real)
    & gener(konzert__1_1,ge)
    & quant(konzert__1_1,one)
    & refer(konzert__1_1,refer_c)
    & varia(konzert__1_1,varia_c)
    & sort(c25,d)
    & card(c25,int1)
    & etype(c25,int0)
    & fact(c25,real)
    & gener(c25,sp)
    & quant(c25,one)
    & refer(c25,det)
    & varia(c25,con)
    & sort(c34,l)
    & card(c34,int1)
    & etype(c34,int0)
    & fact(c34,real)
    & gener(c34,sp)
    & quant(c34,one)
    & refer(c34,det)
    & varia(c34,con)
    & sort(kolosseum_1_1,d)
    & card(kolosseum_1_1,int1)
    & etype(kolosseum_1_1,int0)
    & fact(kolosseum_1_1,real)
    & gener(kolosseum_1_1,sp)
    & quant(kolosseum_1_1,one)
    & refer(kolosseum_1_1,det)
    & varia(kolosseum_1_1,con)
    & sort(c31,d)
    & sort(c31,io)
    & card(c31,int1)
    & etype(c31,int0)
    & fact(c31,real)
    & gener(c31,sp)
    & quant(c31,one)
    & refer(c31,det)
    & varia(c31,con)
    & sort(c32,na)
    & card(c32,int1)
    & etype(c32,int0)
    & fact(c32,real)
    & gener(c32,sp)
    & quant(c32,one)
    & refer(c32,indet)
    & varia(c32,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(rom_0,fe) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_004_qapw_90) ).

fof(f10193,plain,
    ( obj(c16,c21)
    & subs(c16,aufnehmen_1_1)
    & loc(c21,c35)
    & sub(c21,konzert__1_1)
    & loc(c25,c34)
    & sub(c25,kolosseum_1_1)
    & attr(c31,c32)
    & sub(c31,stadt__1_1)
    & sub(c32,name_1_1)
    & val(c32,rom_0)
    & in(c34,c31)
    & in(c35,c25)
    & sort(c16,dn)
    & fact(c16,real)
    & gener(c16,sp)
    & sort(c21,ad)
    & sort(c21,d)
    & sort(c21,io)
    & card(c21,int1)
    & fact(c21,real)
    & gener(c21,sp)
    & quant(c21,one)
    & refer(c21,det)
    & varia(c21,con)
    & sort(aufnehmen_1_1,dn)
    & fact(aufnehmen_1_1,real)
    & gener(aufnehmen_1_1,ge)
    & sort(c35,l)
    & card(c35,int1)
    & fact(c35,real)
    & gener(c35,sp)
    & quant(c35,one)
    & refer(c35,det)
    & varia(c35,con)
    & sort(konzert__1_1,ad)
    & sort(konzert__1_1,d)
    & sort(konzert__1_1,io)
    & card(konzert__1_1,int1)
    & fact(konzert__1_1,real)
    & gener(konzert__1_1,ge)
    & quant(konzert__1_1,one)
    & refer(konzert__1_1,refer_c)
    & varia(konzert__1_1,varia_c)
    & sort(c25,d)
    & card(c25,int1)
    & fact(c25,real)
    & gener(c25,sp)
    & quant(c25,one)
    & refer(c25,det)
    & varia(c25,con)
    & sort(c34,l)
    & card(c34,int1)
    & fact(c34,real)
    & gener(c34,sp)
    & quant(c34,one)
    & refer(c34,det)
    & varia(c34,con)
    & sort(kolosseum_1_1,d)
    & card(kolosseum_1_1,int1)
    & fact(kolosseum_1_1,real)
    & gener(kolosseum_1_1,sp)
    & quant(kolosseum_1_1,one)
    & refer(kolosseum_1_1,det)
    & varia(kolosseum_1_1,con)
    & sort(c31,d)
    & sort(c31,io)
    & card(c31,int1)
    & fact(c31,real)
    & gener(c31,sp)
    & quant(c31,one)
    & refer(c31,det)
    & varia(c31,con)
    & sort(c32,na)
    & card(c32,int1)
    & fact(c32,real)
    & gener(c32,sp)
    & quant(c32,one)
    & refer(c32,indet)
    & varia(c32,varia_c)
    & sort(stadt__1_1,d)
    & sort(stadt__1_1,io)
    & card(stadt__1_1,int1)
    & 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)
    & 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(rom_0,fe) ),
    inference(pure_predicate_removal,[],[f10190]) ).

fof(f10202,plain,
    ( obj(c16,c21)
    & subs(c16,aufnehmen_1_1)
    & loc(c21,c35)
    & sub(c21,konzert__1_1)
    & loc(c25,c34)
    & sub(c25,kolosseum_1_1)
    & attr(c31,c32)
    & sub(c31,stadt__1_1)
    & sub(c32,name_1_1)
    & val(c32,rom_0)
    & in(c34,c31)
    & in(c35,c25)
    & fact(c16,real)
    & gener(c16,sp)
    & card(c21,int1)
    & fact(c21,real)
    & gener(c21,sp)
    & quant(c21,one)
    & refer(c21,det)
    & varia(c21,con)
    & fact(aufnehmen_1_1,real)
    & gener(aufnehmen_1_1,ge)
    & card(c35,int1)
    & fact(c35,real)
    & gener(c35,sp)
    & quant(c35,one)
    & refer(c35,det)
    & varia(c35,con)
    & card(konzert__1_1,int1)
    & fact(konzert__1_1,real)
    & gener(konzert__1_1,ge)
    & quant(konzert__1_1,one)
    & refer(konzert__1_1,refer_c)
    & varia(konzert__1_1,varia_c)
    & card(c25,int1)
    & fact(c25,real)
    & gener(c25,sp)
    & quant(c25,one)
    & refer(c25,det)
    & varia(c25,con)
    & card(c34,int1)
    & fact(c34,real)
    & gener(c34,sp)
    & quant(c34,one)
    & refer(c34,det)
    & varia(c34,con)
    & card(kolosseum_1_1,int1)
    & fact(kolosseum_1_1,real)
    & gener(kolosseum_1_1,sp)
    & quant(kolosseum_1_1,one)
    & refer(kolosseum_1_1,det)
    & varia(kolosseum_1_1,con)
    & card(c31,int1)
    & fact(c31,real)
    & gener(c31,sp)
    & quant(c31,one)
    & refer(c31,det)
    & varia(c31,con)
    & card(c32,int1)
    & fact(c32,real)
    & gener(c32,sp)
    & quant(c32,one)
    & refer(c32,indet)
    & varia(c32,varia_c)
    & card(stadt__1_1,int1)
    & 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)
    & 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) ),
    inference(pure_predicate_removal,[],[f10193]) ).

fof(f10203,plain,
    ( obj(c16,c21)
    & subs(c16,aufnehmen_1_1)
    & loc(c21,c35)
    & sub(c21,konzert__1_1)
    & loc(c25,c34)
    & sub(c25,kolosseum_1_1)
    & attr(c31,c32)
    & sub(c31,stadt__1_1)
    & sub(c32,name_1_1)
    & val(c32,rom_0)
    & in(c34,c31)
    & in(c35,c25)
    & fact(c16,real)
    & gener(c16,sp)
    & card(c21,int1)
    & fact(c21,real)
    & gener(c21,sp)
    & refer(c21,det)
    & varia(c21,con)
    & fact(aufnehmen_1_1,real)
    & gener(aufnehmen_1_1,ge)
    & card(c35,int1)
    & fact(c35,real)
    & gener(c35,sp)
    & refer(c35,det)
    & varia(c35,con)
    & card(konzert__1_1,int1)
    & fact(konzert__1_1,real)
    & gener(konzert__1_1,ge)
    & refer(konzert__1_1,refer_c)
    & varia(konzert__1_1,varia_c)
    & card(c25,int1)
    & fact(c25,real)
    & gener(c25,sp)
    & refer(c25,det)
    & varia(c25,con)
    & card(c34,int1)
    & fact(c34,real)
    & gener(c34,sp)
    & refer(c34,det)
    & varia(c34,con)
    & card(kolosseum_1_1,int1)
    & fact(kolosseum_1_1,real)
    & gener(kolosseum_1_1,sp)
    & refer(kolosseum_1_1,det)
    & varia(kolosseum_1_1,con)
    & card(c31,int1)
    & fact(c31,real)
    & gener(c31,sp)
    & refer(c31,det)
    & varia(c31,con)
    & card(c32,int1)
    & fact(c32,real)
    & gener(c32,sp)
    & refer(c32,indet)
    & varia(c32,varia_c)
    & card(stadt__1_1,int1)
    & 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)
    & fact(name_1_1,real)
    & gener(name_1_1,ge)
    & refer(name_1_1,refer_c)
    & varia(name_1_1,varia_c) ),
    inference(pure_predicate_removal,[],[f10202]) ).

fof(f10204,plain,
    ( obj(c16,c21)
    & subs(c16,aufnehmen_1_1)
    & loc(c21,c35)
    & sub(c21,konzert__1_1)
    & loc(c25,c34)
    & sub(c25,kolosseum_1_1)
    & attr(c31,c32)
    & sub(c31,stadt__1_1)
    & sub(c32,name_1_1)
    & val(c32,rom_0)
    & in(c34,c31)
    & in(c35,c25)
    & fact(c16,real)
    & gener(c16,sp)
    & fact(c21,real)
    & gener(c21,sp)
    & refer(c21,det)
    & varia(c21,con)
    & fact(aufnehmen_1_1,real)
    & gener(aufnehmen_1_1,ge)
    & fact(c35,real)
    & gener(c35,sp)
    & refer(c35,det)
    & varia(c35,con)
    & fact(konzert__1_1,real)
    & gener(konzert__1_1,ge)
    & refer(konzert__1_1,refer_c)
    & varia(konzert__1_1,varia_c)
    & fact(c25,real)
    & gener(c25,sp)
    & refer(c25,det)
    & varia(c25,con)
    & fact(c34,real)
    & gener(c34,sp)
    & refer(c34,det)
    & varia(c34,con)
    & fact(kolosseum_1_1,real)
    & gener(kolosseum_1_1,sp)
    & refer(kolosseum_1_1,det)
    & varia(kolosseum_1_1,con)
    & fact(c31,real)
    & gener(c31,sp)
    & refer(c31,det)
    & varia(c31,con)
    & fact(c32,real)
    & gener(c32,sp)
    & refer(c32,indet)
    & varia(c32,varia_c)
    & fact(stadt__1_1,real)
    & gener(stadt__1_1,ge)
    & refer(stadt__1_1,refer_c)
    & varia(stadt__1_1,varia_c)
    & fact(name_1_1,real)
    & gener(name_1_1,ge)
    & refer(name_1_1,refer_c)
    & varia(name_1_1,varia_c) ),
    inference(pure_predicate_removal,[],[f10203]) ).

fof(f10207,plain,
    ( obj(c16,c21)
    & subs(c16,aufnehmen_1_1)
    & loc(c21,c35)
    & sub(c21,konzert__1_1)
    & loc(c25,c34)
    & sub(c25,kolosseum_1_1)
    & attr(c31,c32)
    & sub(c31,stadt__1_1)
    & sub(c32,name_1_1)
    & val(c32,rom_0)
    & in(c34,c31)
    & in(c35,c25)
    & fact(c16,real)
    & gener(c16,sp)
    & fact(c21,real)
    & gener(c21,sp)
    & varia(c21,con)
    & fact(aufnehmen_1_1,real)
    & gener(aufnehmen_1_1,ge)
    & fact(c35,real)
    & gener(c35,sp)
    & varia(c35,con)
    & fact(konzert__1_1,real)
    & gener(konzert__1_1,ge)
    & varia(konzert__1_1,varia_c)
    & fact(c25,real)
    & gener(c25,sp)
    & varia(c25,con)
    & fact(c34,real)
    & gener(c34,sp)
    & varia(c34,con)
    & fact(kolosseum_1_1,real)
    & gener(kolosseum_1_1,sp)
    & varia(kolosseum_1_1,con)
    & fact(c31,real)
    & gener(c31,sp)
    & varia(c31,con)
    & fact(c32,real)
    & gener(c32,sp)
    & varia(c32,varia_c)
    & fact(stadt__1_1,real)
    & gener(stadt__1_1,ge)
    & varia(stadt__1_1,varia_c)
    & fact(name_1_1,real)
    & gener(name_1_1,ge)
    & varia(name_1_1,varia_c) ),
    inference(pure_predicate_removal,[],[f10204]) ).

fof(f10210,plain,
    ( obj(c16,c21)
    & subs(c16,aufnehmen_1_1)
    & loc(c21,c35)
    & sub(c21,konzert__1_1)
    & loc(c25,c34)
    & sub(c25,kolosseum_1_1)
    & attr(c31,c32)
    & sub(c31,stadt__1_1)
    & sub(c32,name_1_1)
    & val(c32,rom_0)
    & in(c34,c31)
    & in(c35,c25)
    & gener(c16,sp)
    & gener(c21,sp)
    & varia(c21,con)
    & gener(aufnehmen_1_1,ge)
    & gener(c35,sp)
    & varia(c35,con)
    & gener(konzert__1_1,ge)
    & varia(konzert__1_1,varia_c)
    & gener(c25,sp)
    & varia(c25,con)
    & gener(c34,sp)
    & varia(c34,con)
    & gener(kolosseum_1_1,sp)
    & varia(kolosseum_1_1,con)
    & gener(c31,sp)
    & varia(c31,con)
    & gener(c32,sp)
    & varia(c32,varia_c)
    & gener(stadt__1_1,ge)
    & varia(stadt__1_1,varia_c)
    & gener(name_1_1,ge)
    & varia(name_1_1,varia_c) ),
    inference(pure_predicate_removal,[],[f10207]) ).

fof(f10212,plain,
    ( obj(c16,c21)
    & subs(c16,aufnehmen_1_1)
    & loc(c21,c35)
    & sub(c21,konzert__1_1)
    & loc(c25,c34)
    & sub(c25,kolosseum_1_1)
    & attr(c31,c32)
    & sub(c31,stadt__1_1)
    & sub(c32,name_1_1)
    & val(c32,rom_0)
    & in(c34,c31)
    & in(c35,c25)
    & gener(c16,sp)
    & gener(c21,sp)
    & gener(aufnehmen_1_1,ge)
    & gener(c35,sp)
    & gener(konzert__1_1,ge)
    & gener(c25,sp)
    & gener(c34,sp)
    & gener(kolosseum_1_1,sp)
    & gener(c31,sp)
    & gener(c32,sp)
    & gener(stadt__1_1,ge)
    & gener(name_1_1,ge) ),
    inference(pure_predicate_removal,[],[f10210]) ).

fof(f10215,plain,
    ( obj(c16,c21)
    & subs(c16,aufnehmen_1_1)
    & loc(c21,c35)
    & sub(c21,konzert__1_1)
    & loc(c25,c34)
    & sub(c25,kolosseum_1_1)
    & attr(c31,c32)
    & sub(c31,stadt__1_1)
    & sub(c32,name_1_1)
    & val(c32,rom_0)
    & in(c34,c31)
    & in(c35,c25) ),
    inference(pure_predicate_removal,[],[f10212]) ).

fof(f10216,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ in(X2,X0)
      | ~ attr(X0,X1)
      | ~ loc(X4,X2)
      | ~ scar(X4,X3)
      | ~ sub(X1,name_1_1)
      | ~ sub(X0,stadt__1_1)
      | ~ sub(X3,kolosseum_1_1)
      | ~ subs(X4,stehen_1_1)
      | ~ val(X1,rom_0) ),
    inference(ennf_transformation,[],[f10189]) ).

fof(f10231,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( loc(X2,X1)
          & scar(X2,X0)
          & subs(X2,stehen_1_1) )
      | ~ loc(X0,X1) ),
    inference(ennf_transformation,[],[f180]) ).

fof(f10238,plain,
    ! [X0,X1] :
      ( ( loc(sK2(X0,X1),X1)
        & scar(sK2(X0,X1),X0)
        & subs(sK2(X0,X1),stehen_1_1) )
      | ~ loc(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f10231]) ).

fof(f10239,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ in(X2,X0)
      | ~ attr(X0,X1)
      | ~ loc(X4,X2)
      | ~ scar(X4,X3)
      | ~ sub(X1,name_1_1)
      | ~ sub(X0,stadt__1_1)
      | ~ sub(X3,kolosseum_1_1)
      | ~ subs(X4,stehen_1_1)
      | ~ val(X1,rom_0) ),
    inference(cnf_transformation,[],[f10216]) ).

fof(f10241,plain,
    in(c34,c31),
    inference(cnf_transformation,[],[f10215]) ).

fof(f10242,plain,
    val(c32,rom_0),
    inference(cnf_transformation,[],[f10215]) ).

fof(f10243,plain,
    sub(c32,name_1_1),
    inference(cnf_transformation,[],[f10215]) ).

fof(f10244,plain,
    sub(c31,stadt__1_1),
    inference(cnf_transformation,[],[f10215]) ).

fof(f10245,plain,
    attr(c31,c32),
    inference(cnf_transformation,[],[f10215]) ).

fof(f10246,plain,
    sub(c25,kolosseum_1_1),
    inference(cnf_transformation,[],[f10215]) ).

fof(f10247,plain,
    loc(c25,c34),
    inference(cnf_transformation,[],[f10215]) ).

fof(f10261,plain,
    ! [X0,X1] :
      ( subs(sK2(X0,X1),stehen_1_1)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[],[f10238]) ).

fof(f10262,plain,
    ! [X0,X1] :
      ( scar(sK2(X0,X1),X0)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[],[f10238]) ).

fof(f10263,plain,
    ! [X0,X1] :
      ( loc(sK2(X0,X1),X1)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[],[f10238]) ).

fof(f10266,plain,
    ! [X3,X4] :
      ( ~ scar(X4,X3)
      | ~ sub(X3,kolosseum_1_1)
      | sP3(X4) ),
    inference(cnf_transformation,[],[f10266_D]) ).

fof(f10266_D,definition,
    ! [X4] :
      ( ! [X3] :
          ( ~ scar(X4,X3)
          | ~ sub(X3,kolosseum_1_1) )
    <=> ~ sP3(X4) ),
    introduced(definition,[new_symbols(definition,[sP3])],[general_splitting_component_introduction]) ).

fof(f10267,plain,
    ! [X2,X0,X1,X4] :
      ( ~ in(X2,X0)
      | ~ attr(X0,X1)
      | ~ loc(X4,X2)
      | ~ sub(X1,name_1_1)
      | ~ sub(X0,stadt__1_1)
      | ~ subs(X4,stehen_1_1)
      | ~ val(X1,rom_0)
      | ~ sP3(X4) ),
    inference(general_splitting,[],[f10239,f10266_D]) ).

fof(f10268,plain,
    ! [X0,X1] :
      ( ~ val(X1,rom_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1)
      | sP4(X0) ),
    inference(cnf_transformation,[],[f10268_D]) ).

fof(f10268_D,definition,
    ! [X0] :
      ( ! [X1] :
          ( ~ val(X1,rom_0)
          | ~ sub(X1,name_1_1)
          | ~ attr(X0,X1) )
    <=> ~ sP4(X0) ),
    introduced(definition,[new_symbols(definition,[sP4])],[general_splitting_component_introduction]) ).

fof(f10269,plain,
    ! [X2,X0,X4] :
      ( ~ in(X2,X0)
      | ~ loc(X4,X2)
      | ~ sub(X0,stadt__1_1)
      | ~ subs(X4,stehen_1_1)
      | ~ sP3(X4)
      | ~ sP4(X0) ),
    inference(general_splitting,[],[f10267,f10268_D]) ).

fof(f10270,plain,
    ! [X2,X0] :
      ( ~ in(X2,X0)
      | ~ sub(X0,stadt__1_1)
      | ~ sP4(X0)
      | sP5(X2) ),
    inference(cnf_transformation,[],[f10270_D]) ).

fof(f10270_D,definition,
    ! [X2] :
      ( ! [X0] :
          ( ~ in(X2,X0)
          | ~ sub(X0,stadt__1_1)
          | ~ sP4(X0) )
    <=> ~ sP5(X2) ),
    introduced(definition,[new_symbols(definition,[sP5])],[general_splitting_component_introduction]) ).

fof(f10271,plain,
    ! [X2,X4] :
      ( ~ loc(X4,X2)
      | ~ subs(X4,stehen_1_1)
      | ~ sP3(X4)
      | ~ sP5(X2) ),
    inference(general_splitting,[],[f10269,f10270_D]) ).

fof(f10272,plain,
    ! [X0,X1] :
      ( sP3(sK2(X0,X1))
      | ~ sub(X0,kolosseum_1_1)
      | ~ loc(X0,X1) ),
    inference(resolution,[],[f10266,f10262]) ).

fof(f10273,plain,
    ! [X0,X1] :
      ( ~ subs(sK2(X0,X1),stehen_1_1)
      | ~ sP3(sK2(X0,X1))
      | ~ sP5(X1)
      | ~ loc(X0,X1) ),
    inference(resolution,[],[f10271,f10263]) ).

fof(f10274,plain,
    ! [X0,X1] :
      ( ~ sP3(sK2(X0,X1))
      | ~ sP5(X1)
      | ~ loc(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f10273,f10261]) ).

fof(f10289,plain,
    ( ~ sub(c31,stadt__1_1)
    | ~ sP4(c31)
    | sP5(c34) ),
    inference(resolution,[],[f10241,f10270]) ).

fof(f10290,plain,
    ( ~ sP4(c31)
    | sP5(c34) ),
    inference(forward_subsumption_resolution,[],[f10289,f10244]) ).

fof(f10292,definition,
    ( spl6_4
  <=> sP5(c34) ),
    introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).

fof(f10294,plain,
    ( sP5(c34)
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f10292]) ).

fof(f10296,definition,
    ( spl6_5
  <=> sP4(c31) ),
    introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).

fof(f10298,plain,
    ( ~ sP4(c31)
    | spl6_5 ),
    inference(avatar_component_clause,[],[f10296]) ).

fof(f10299,plain,
    ( spl6_4
    | ~ spl6_5 ),
    inference(avatar_split_clause,[],[f10290,f10296,f10292]) ).

fof(f10300,plain,
    ! [X0] :
      ( ~ sub(c32,name_1_1)
      | ~ attr(X0,c32)
      | sP4(X0) ),
    inference(resolution,[],[f10242,f10268]) ).

fof(f10301,plain,
    ! [X0] :
      ( ~ attr(X0,c32)
      | sP4(X0) ),
    inference(forward_subsumption_resolution,[],[f10300,f10243]) ).

fof(f10303,plain,
    ! [X0,X1] :
      ( ~ sub(X0,kolosseum_1_1)
      | ~ loc(X0,X1)
      | ~ sP5(X1)
      | ~ loc(X0,X1) ),
    inference(resolution,[],[f10272,f10274]) ).

fof(f10304,plain,
    ! [X0,X1] :
      ( ~ loc(X0,X1)
      | ~ sub(X0,kolosseum_1_1)
      | ~ sP5(X1) ),
    inference(duplicate_literal_removal,[],[f10303]) ).

fof(f10307,plain,
    sP4(c31),
    inference(resolution,[],[f10245,f10301]) ).

fof(f10308,plain,
    ( $false
    | spl6_5 ),
    inference(forward_subsumption_resolution,[],[f10307,f10298]) ).

fof(f10309,plain,
    spl6_5,
    inference(avatar_contradiction_clause,[],[f10308]) ).

fof(f10311,plain,
    ( ~ sub(c25,kolosseum_1_1)
    | ~ sP5(c34) ),
    inference(resolution,[],[f10247,f10304]) ).

fof(f10314,plain,
    ~ sP5(c34),
    inference(forward_subsumption_resolution,[],[f10311,f10246]) ).

fof(f10324,plain,
    ( $false
    | ~ spl6_4 ),
    inference(forward_subsumption_resolution,[],[f10314,f10294]) ).

fof(f10325,plain,
    ~ spl6_4,
    inference(avatar_contradiction_clause,[],[f10324]) ).

cnf(s2,plain,
    ( spl6_4
    | ~ spl6_5 ),
    inference(sat_conversion,[],[f10299]) ).

cnf(s3,plain,
    spl6_5,
    inference(sat_conversion,[],[f10309]) ).

cnf(s5,plain,
    ~ spl6_4,
    inference(sat_conversion,[],[f10325]) ).

cnf(s6,plain,
    $false,
    inference(rat,[],[s2,s3,s5]) ).

fof(f10326,plain,
    $false,
    inference(avatar_sat_refutation,[],[s6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR114+27 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n019.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 23:09:48 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  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
% 3.09/1.30  % (368171)Detected formulas, will run a generic FOF schedule.
% 3.09/1.30  % (368181)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=874603829:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 3.09/1.30  % (368180)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2400865101:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 3.09/1.30  % (368176)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=1654131848:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 3.09/1.30  % (368179)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3153479649:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 3.09/1.30  % (368178)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=3395463065:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 3.09/1.30  % (368177)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=4280099985:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 3.09/1.30  % (368181)Instruction limit reached! 
% 3.09/1.30  % (368181)------------------------------
% 3.09/1.30  % (368181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.30  % (368181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.30  % (368181)CaDiCaL version: 2.1.3
% 3.09/1.30  % (368181)Termination reason: Instruction limit
% 3.09/1.30  % (368181)Termination phase: Saturation
% 3.09/1.30  % (368181)Time elapsed: 0.038 s
% 3.09/1.30  % (368181)Peak memory usage: 97 MB
% 3.09/1.30  % (368181)Instructions burned: 144 (million)
% 3.09/1.30  % (368182)dis-21_1_sil=8000:lcm=predicate:random_seed=2172178110: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)
% 3.09/1.30  % (368179)First to succeed.
% 3.09/1.30  % (368180)Also succeeded, but the first one will report.
% 3.09/1.30  % (368179)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-368171"
% 3.09/1.30  % (368182)Also succeeded, but the first one will report.
% 3.09/1.30  % (368189)lrs+10_1_sil=8000:sp=occurrence:random_seed=3509344437:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.09/1.30  % (368189)Also succeeded, but the first one will report.
% 3.09/1.30  % (368179)Refutation found. Thanks to Tanya!
% 3.09/1.30  % SZS status Theorem for theBenchmark
% 3.09/1.30  % SZS output start Proof for theBenchmark
% See solution above
% 4.07/1.44  % (368179)------------------------------
% 4.07/1.44  % (368179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.44  % (368179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.44  % (368179)CaDiCaL version: 2.1.3
% 4.07/1.44  % (368179)Termination reason: Refutation
% 4.07/1.44  % (368179)Time elapsed: 0.031 s
% 4.07/1.44  % (368179)Peak memory usage: 99 MB
% 4.07/1.44  % (368179)Instructions burned: 60 (million)
% 4.07/1.44  % (368179)------------------------------
% 4.07/1.44  % (368179)------------------------------
% 4.07/1.44  % (368171)Success in time 0.625 s
% 4.07/1.44  % Vampire exiting
%------------------------------------------------------------------------------