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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR114+11 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/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 : Sun Sep 27 07:07:35 AM UTC 2026

% Result   : Theorem 14.21s 2.56s
% Output   : CNFRefutation 14.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   62 (  13 unt;   0 def)
%            Number of atoms       :  576 (   0 equ)
%            Maximal formula atoms :  334 (   9 avg)
%            Number of connectives :  665 ( 151   ~; 133   |; 378   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  334 (  10 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-11 aty)
%            Number of functors    :   84 (  84 usr;  80 con; 0-3 aty)
%            Number of variables   :  168 (  13 sgn  45   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(in_state__state_adjective,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( val(X3,X4)
        & sub(X3,name_1_1)
        & sub(X2,land_1_1)
        & state_adjective_state_binding(X1,X4)
        & loc(X0,X5)
        & attr(X2,X3)
        & in(X5,X2) )
     => prop(X0,X1) ),
    file('theBenchmark.p',in_state__state_adjective) ).

fof(loc__stehen_1_1_loc,axiom,
    ! [X0,X1] :
      ( loc(X0,X1)
     => ? [X2] :
          ( subs(X2,stehen_1_1)
          & scar(X2,X0)
          & loc(X2,X1) ) ),
    file('theBenchmark.p',loc__stehen_1_1_loc) ).

fof(ave07_era5_synth_qa07_004_mira_news_631,axiom,
    ( gener(organisieren_1_1,ge)
    & fact(organisieren_1_1,real)
    & sort(organisieren_1_1,da)
    & varia(c580,varia_c)
    & refer(c580,refer_c)
    & quant(c580,quant_c)
    & gener(c580,gener_c)
    & fact(c580,real)
    & etype(c580,etype_c)
    & card(c580,card_c)
    & sort(c580,ent)
    & card(c47,int3)
    & sort(c47,nu)
    & varia(monat_1_1,varia_c)
    & refer(monat_1_1,refer_c)
    & quant(monat_1_1,quant_c)
    & gener(monat_1_1,ge)
    & fact(monat_1_1,real)
    & etype(monat_1_1,etype_c)
    & card(monat_1_1,card_c)
    & sort(monat_1_1,ta)
    & sort(monat_1_1,oa)
    & sort(monat_1_1,me)
    & card(c46,int28)
    & sort(c46,nu)
    & varia(tag_1_1,varia_c)
    & refer(tag_1_1,refer_c)
    & quant(tag_1_1,quant_c)
    & gener(tag_1_1,ge)
    & fact(tag_1_1,real)
    & etype(tag_1_1,etype_c)
    & card(tag_1_1,card_c)
    & sort(tag_1_1,ta)
    & sort(tag_1_1,oa)
    & sort(tag_1_1,me)
    & varia(c50,varia_c)
    & refer(c50,refer_c)
    & quant(c50,quant_c)
    & gener(c50,sp)
    & fact(c50,real)
    & etype(c50,etype_c)
    & card(c50,card_c)
    & sort(c50,ta)
    & sort(c50,oa)
    & sort(c50,me)
    & varia(c49,varia_c)
    & refer(c49,refer_c)
    & quant(c49,quant_c)
    & gener(c49,sp)
    & fact(c49,real)
    & etype(c49,etype_c)
    & card(c49,card_c)
    & sort(c49,ta)
    & sort(c49,oa)
    & sort(c49,me)
    & varia(kriminalitaet_1_1,varia_c)
    & refer(kriminalitaet_1_1,refer_c)
    & quant(kriminalitaet_1_1,one)
    & gener(kriminalitaet_1_1,ge)
    & fact(kriminalitaet_1_1,real)
    & etype(kriminalitaet_1_1,int0)
    & card(kriminalitaet_1_1,int1)
    & sort(kriminalitaet_1_1,na)
    & sort(kriminalitaet_1_1,io)
    & sort(organisiert_1_1,nq)
    & varia(c448,con)
    & refer(c448,det)
    & quant(c448,one)
    & gener(c448,sp)
    & fact(c448,real)
    & etype(c448,int0)
    & card(c448,int1)
    & sort(c448,na)
    & sort(c448,io)
    & varia(schlag_1_1,varia_c)
    & refer(schlag_1_1,refer_c)
    & quant(schlag_1_1,one)
    & gener(schlag_1_1,ge)
    & fact(schlag_1_1,real)
    & etype(schlag_1_1,int0)
    & card(schlag_1_1,int1)
    & sort(schlag_1_1,ad)
    & sort(weit_1_1,mq)
    & varia(c441,varia_c)
    & refer(c441,indet)
    & quant(c441,one)
    & gener(c441,sp)
    & fact(c441,real)
    & etype(c441,int0)
    & card(c441,int1)
    & sort(c441,ad)
    & varia(montag__1_1,varia_c)
    & refer(montag__1_1,refer_c)
    & quant(montag__1_1,one)
    & gener(montag__1_1,ge)
    & fact(montag__1_1,real)
    & etype(montag__1_1,int0)
    & card(montag__1_1,int1)
    & sort(montag__1_1,ta)
    & varia(c421,con)
    & refer(c421,det)
    & quant(c421,one)
    & gener(c421,sp)
    & fact(c421,real)
    & etype(c421,int0)
    & card(c421,int1)
    & sort(c421,ta)
    & varia(polizei__1_1,varia_c)
    & refer(polizei__1_1,refer_c)
    & quant(polizei__1_1,one)
    & gener(polizei__1_1,ge)
    & fact(polizei__1_1,real)
    & etype(polizei__1_1,int0)
    & card(polizei__1_1,int1)
    & sort(polizei__1_1,io)
    & sort(polizei__1_1,d)
    & sort(italienisch__1_1,nq)
    & varia(c417,con)
    & refer(c417,det)
    & quant(c417,one)
    & gener(c417,sp)
    & fact(c417,real)
    & etype(c417,int0)
    & card(c417,int1)
    & sort(c417,io)
    & sort(c417,d)
    & varia(gangstersyndikat_1_1,varia_c)
    & refer(gangstersyndikat_1_1,refer_c)
    & quant(gangstersyndikat_1_1,quant_c)
    & gener(gangstersyndikat_1_1,ge)
    & fact(gangstersyndikat_1_1,real)
    & etype(gangstersyndikat_1_1,int1)
    & card(gangstersyndikat_1_1,card_c)
    & sort(gangstersyndikat_1_1,io)
    & sort(gangstersyndikat_1_1,d)
    & varia(c392,con)
    & refer(c392,det)
    & quant(c392,one)
    & gener(c392,sp)
    & fact(c392,real)
    & etype(c392,int1)
    & card(c392,int1)
    & sort(c392,io)
    & sort(c392,d)
    & varia(c388,varia_c)
    & refer(c388,det)
    & quant(c388,nfquant)
    & gener(c388,sp)
    & fact(c388,real)
    & etype(c388,int1)
    & card(c388,int2)
    & sort(c388,io)
    & sort(c388,d)
    & varia(nummer_1_1,varia_c)
    & refer(nummer_1_1,refer_c)
    & quant(nummer_1_1,one)
    & gener(nummer_1_1,ge)
    & fact(nummer_1_1,real)
    & etype(nummer_1_1,int0)
    & card(nummer_1_1,int1)
    & sort(nummer_1_1,io)
    & sort(nummer_1_1,d)
    & varia(c387,varia_c)
    & refer(c387,refer_c)
    & quant(c387,one)
    & gener(c387,gener_c)
    & fact(c387,real)
    & etype(c387,int0)
    & card(c387,int1)
    & sort(c387,io)
    & sort(c387,d)
    & sort(ferrara_0,fe)
    & varia(c386,varia_c)
    & refer(c386,indet)
    & quant(c386,one)
    & gener(c386,sp)
    & fact(c386,real)
    & etype(c386,int0)
    & card(c386,int1)
    & sort(c386,na)
    & varia(c385,con)
    & refer(c385,det)
    & quant(c385,one)
    & gener(c385,sp)
    & fact(c385,real)
    & etype(c385,int0)
    & card(c385,int1)
    & sort(c385,io)
    & sort(c385,d)
    & sort(sebastiano_0,fe)
    & varia(eigenname_1_1,varia_c)
    & refer(eigenname_1_1,refer_c)
    & quant(eigenname_1_1,one)
    & gener(eigenname_1_1,ge)
    & fact(eigenname_1_1,real)
    & etype(eigenname_1_1,int0)
    & card(eigenname_1_1,int1)
    & sort(eigenname_1_1,na)
    & varia(mensch_1_1,varia_c)
    & refer(mensch_1_1,refer_c)
    & quant(mensch_1_1,one)
    & gener(mensch_1_1,ge)
    & fact(mensch_1_1,real)
    & etype(mensch_1_1,int0)
    & card(mensch_1_1,int1)
    & sort(mensch_1_1,d)
    & varia(c382,varia_c)
    & refer(c382,indet)
    & quant(c382,one)
    & gener(c382,sp)
    & fact(c382,real)
    & etype(c382,int0)
    & card(c382,int1)
    & sort(c382,na)
    & varia(c381,con)
    & refer(c381,det)
    & quant(c381,one)
    & gener(c381,sp)
    & fact(c381,real)
    & etype(c381,int0)
    & card(c381,int1)
    & sort(c381,d)
    & varia(arretierung_1_1,varia_c)
    & refer(arretierung_1_1,refer_c)
    & quant(arretierung_1_1,one)
    & gener(arretierung_1_1,ge)
    & fact(arretierung_1_1,real)
    & etype(arretierung_1_1,int0)
    & card(arretierung_1_1,int1)
    & sort(arretierung_1_1,ad)
    & varia(c374,con)
    & refer(c374,det)
    & quant(c374,one)
    & gener(c374,sp)
    & fact(c374,real)
    & etype(c374,int0)
    & card(c374,int1)
    & sort(c374,ad)
    & sort(messina_0,fe)
    & varia(name_1_1,varia_c)
    & refer(name_1_1,refer_c)
    & quant(name_1_1,one)
    & gener(name_1_1,ge)
    & fact(name_1_1,real)
    & etype(name_1_1,int0)
    & card(name_1_1,int1)
    & sort(name_1_1,na)
    & varia(stadt__1_1,varia_c)
    & refer(stadt__1_1,refer_c)
    & quant(stadt__1_1,one)
    & gener(stadt__1_1,ge)
    & fact(stadt__1_1,real)
    & etype(stadt__1_1,int0)
    & card(stadt__1_1,int1)
    & sort(stadt__1_1,io)
    & sort(stadt__1_1,d)
    & sort(sizilianisch_1_1,ql)
    & varia(c405,varia_c)
    & refer(c405,indet)
    & quant(c405,one)
    & gener(c405,sp)
    & fact(c405,real)
    & etype(c405,int0)
    & card(c405,int1)
    & sort(c405,na)
    & varia(c37,varia_c)
    & refer(c37,indet)
    & quant(c37,one)
    & gener(c37,sp)
    & fact(c37,real)
    & etype(c37,int0)
    & card(c37,int1)
    & sort(c37,na)
    & varia(c48,con)
    & refer(c48,det)
    & quant(c48,one)
    & gener(c48,sp)
    & fact(c48,real)
    & etype(c48,int0)
    & card(c48,int1)
    & sort(c48,t)
    & varia(c36,con)
    & refer(c36,det)
    & quant(c36,one)
    & gener(c36,sp)
    & fact(c36,real)
    & etype(c36,int0)
    & card(c36,int1)
    & sort(c36,io)
    & sort(c36,d)
    & varia(c220,varia_c)
    & refer(c220,refer_c)
    & quant(c220,quant_c)
    & gener(c220,gener_c)
    & fact(c220,real)
    & etype(c220,etype_c)
    & card(c220,card_c)
    & sort(c220,ent)
    & chsp2(organisieren_1_1,organisiert_1_1)
    & tupl_p11(c580,c374,c381,c385,c387,c388,c36,c417,c421,c441,c448)
    & val(c50,c47)
    & sub(c50,monat_1_1)
    & val(c49,c46)
    & sub(c49,tag_1_1)
    & attr(c48,c50)
    & attr(c48,c49)
    & sub(c448,kriminalitaet_1_1)
    & prop(c448,organisiert_1_1)
    & subs(c441,schlag_1_1)
    & prop(c441,weit_1_1)
    & sub(c421,montag__1_1)
    & sub(c417,polizei__1_1)
    & prop(c417,italienisch__1_1)
    & val(c405,messina_0)
    & sub(c405,name_1_1)
    & sub(c392,gangstersyndikat_1_1)
    & subm(c388,c392)
    & sub(c387,nummer_1_1)
    & val(c386,ferrara_0)
    & sub(c386,name_1_1)
    & sub(c385,stadt__1_1)
    & attr(c385,c386)
    & val(c382,sebastiano_0)
    & sub(c382,eigenname_1_1)
    & sub(c381,mensch_1_1)
    & attr(c381,c382)
    & subs(c374,arretierung_1_1)
    & val(c37,messina_0)
    & sub(c37,name_1_1)
    & sub(c36,stadt__1_1)
    & prop(c36,sizilianisch_1_1)
    & attr(c36,c405)
    & attr(c36,c37)
    & tupl(c220,c36,c48) ),
    file('theBenchmark.p',ave07_era5_synth_qa07_004_mira_news_631) ).

fof(state_adjective__in_state,axiom,
    ! [X0,X1,X2] :
      ( ( state_adjective_state_binding(X1,X2)
        & prop(X0,X1) )
     => ? [X3,X4,X5] :
          ( val(X4,X2)
          & sub(X4,name_1_1)
          & sub(X3,land_1_1)
          & loc(X0,X5)
          & attr(X3,X4)
          & in(X5,X3) ) ),
    file('theBenchmark.p',state_adjective__in_state) ).

fof(synth_qa07_004_mira_news_631,conjecture,
    ? [X0,X1,X2,X3,X4] :
      ( subs(X4,stehen_1_1)
      & sub(X1,name_1_1)
      & scar(X4,X3)
      & loc(X4,X2)
      & attr(X0,X1)
      & in(X2,X0) ),
    file('theBenchmark.p',synth_qa07_004_mira_news_631) ).

fof(synth_qa07_004_mira_news_631_neg,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4] :
        ( subs(X4,stehen_1_1)
        & sub(X1,name_1_1)
        & scar(X4,X3)
        & loc(X4,X2)
        & attr(X0,X1)
        & in(X2,X0) ),
    inference(assume_negation,[status(cth)],[synth_qa07_004_mira_news_631]) ).

fof(nnf_62,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( val(X4,X2)
          & sub(X4,name_1_1)
          & sub(X3,land_1_1)
          & loc(X0,X5)
          & attr(X3,X4)
          & in(X5,X3) )
      | ~ state_adjective_state_binding(X1,X2)
      | ~ prop(X0,X1) ),
    inference(fof_nnf,[status(thm)],[state_adjective__in_state]) ).

fof(sk_state_adjective__in_state_sk,plain,
    ! [X0,X1,X2] :
      ( ( val(sK2(X0,X1,X2),X2)
        & sub(sK2(X0,X1,X2),name_1_1)
        & sub(sK1(X0,X1,X2),land_1_1)
        & loc(X0,sK0(X0,X1,X2))
        & attr(sK1(X0,X1,X2),sK2(X0,X1,X2))
        & in(sK0(X0,X1,X2),sK1(X0,X1,X2)) )
      | ~ state_adjective_state_binding(X1,X2)
      | ~ prop(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK1(X0,X1,X2)),skolemize(X4,sK2(X0,X1,X2)),skolemize(X5,sK0(X0,X1,X2))],[nnf_62]) ).

fof(sk_state_adjective__in_state,plain,
    ( ! [VAR_0,VAR_1,VAR_2] :
        ( val(sK2(VAR_0,VAR_1,VAR_2),VAR_2)
        | ~ state_adjective_state_binding(VAR_1,VAR_2)
        | ~ prop(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1,VAR_2] :
        ( sub(sK2(VAR_0,VAR_1,VAR_2),name_1_1)
        | ~ state_adjective_state_binding(VAR_1,VAR_2)
        | ~ prop(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1,VAR_2] :
        ( sub(sK1(VAR_0,VAR_1,VAR_2),land_1_1)
        | ~ state_adjective_state_binding(VAR_1,VAR_2)
        | ~ prop(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1,VAR_2] :
        ( loc(VAR_0,sK0(VAR_0,VAR_1,VAR_2))
        | ~ state_adjective_state_binding(VAR_1,VAR_2)
        | ~ prop(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1,VAR_2] :
        ( attr(sK1(VAR_0,VAR_1,VAR_2),sK2(VAR_0,VAR_1,VAR_2))
        | ~ state_adjective_state_binding(VAR_1,VAR_2)
        | ~ prop(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1,VAR_2] :
        ( in(sK0(VAR_0,VAR_1,VAR_2),sK1(VAR_0,VAR_1,VAR_2))
        | ~ state_adjective_state_binding(VAR_1,VAR_2)
        | ~ prop(VAR_0,VAR_1) ) ),
    inference(cnf_transformation,[status(thm)],[sk_state_adjective__in_state_sk]) ).

cnf(c_114,plain,
    ( in(sK0(A,B,C),sK1(A,B,C))
    | ~ state_adjective_state_binding(B,C)
    | ~ prop(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).

cnf(c_115,plain,
    ( attr(sK1(A,B,C),sK2(A,B,C))
    | ~ state_adjective_state_binding(B,C)
    | ~ prop(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).

cnf(c_116,plain,
    ( loc(A,sK0(A,B,C))
    | ~ state_adjective_state_binding(B,C)
    | ~ prop(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).

cnf(c_117,plain,
    ( sub(sK1(A,B,C),land_1_1)
    | ~ state_adjective_state_binding(B,C)
    | ~ prop(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).

cnf(c_118,plain,
    ( sub(sK2(A,B,C),name_1_1)
    | ~ state_adjective_state_binding(B,C)
    | ~ prop(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).

cnf(c_119,plain,
    ( val(sK2(A,B,C),C)
    | ~ state_adjective_state_binding(B,C)
    | ~ prop(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).

fof(fact_8886,axiom,
    state_adjective_state_binding(italienisch__1_1,italien_0),
    file('theBenchmark.p',fact_8886) ).

cnf(c_154,plain,
    state_adjective_state_binding(italienisch__1_1,italien_0),
    inference(clausify,[status(thm)],[fact_8886]) ).

cnf(c_228,plain,
    ( prop(D,E)
    | ~ val(C,F)
    | ~ sub(C,name_1_1)
    | ~ sub(B,land_1_1)
    | ~ state_adjective_state_binding(E,F)
    | ~ loc(D,A)
    | ~ attr(B,C)
    | ~ in(A,B) ),
    inference(clausify,[status(thm)],[in_state__state_adjective]) ).

fof(nnf_41,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( subs(X2,stehen_1_1)
          & scar(X2,X0)
          & loc(X2,X1) )
      | ~ loc(X0,X1) ),
    inference(fof_nnf,[status(thm)],[loc__stehen_1_1_loc]) ).

fof(sk_loc__stehen_1_1_loc_sk,plain,
    ! [X0,X1] :
      ( ( subs(sK3(X0,X1),stehen_1_1)
        & scar(sK3(X0,X1),X0)
        & loc(sK3(X0,X1),X1) )
      | ~ loc(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[nnf_41]) ).

fof(sk_loc__stehen_1_1_loc,plain,
    ( ! [VAR_0,VAR_1] :
        ( subs(sK3(VAR_0,VAR_1),stehen_1_1)
        | ~ loc(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1] :
        ( scar(sK3(VAR_0,VAR_1),VAR_0)
        | ~ loc(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1] :
        ( loc(sK3(VAR_0,VAR_1),VAR_1)
        | ~ loc(VAR_0,VAR_1) ) ),
    inference(cnf_transformation,[status(thm)],[sk_loc__stehen_1_1_loc_sk]) ).

cnf(c_249,plain,
    ( loc(sK3(A,B),B)
    | ~ loc(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).

cnf(c_250,plain,
    ( scar(sK3(A,B),A)
    | ~ loc(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).

cnf(c_251,plain,
    ( subs(sK3(A,B),stehen_1_1)
    | ~ loc(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).

cnf(c_282,plain,
    prop(c417,italienisch__1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_mira_news_631]) ).

cnf(c_595,negated_conjecture,
    ( ~ subs(D,stehen_1_1)
    | ~ sub(C,name_1_1)
    | ~ scar(D,E)
    | ~ loc(D,A)
    | ~ attr(B,C)
    | ~ in(A,B) ),
    inference(clausify,[status(thm)],[synth_qa07_004_mira_news_631_neg]) ).

cnf(c_597,plain,
    ( ~ state_adjective_state_binding(B,C)
    | ~ prop(A,B)
    | ~ subs(A,stehen_1_1)
    | ~ sub(E,name_1_1)
    | ~ scar(A,F)
    | ~ attr(D,E)
    | ~ in(sK0(A,B,C),D) ),
    inference(resolve,[status(thm)],[c_595,c_116]) ).

cnf(c_7408,plain,
    ( ~ state_adjective_state_binding(B,C)
    | ~ prop(A,B)
    | ~ state_adjective_state_binding(B,C)
    | ~ prop(A,B)
    | ~ subs(A,stehen_1_1)
    | ~ sub(D,name_1_1)
    | ~ scar(A,E)
    | ~ attr(sK1(A,B,C),D) ),
    inference(resolve,[status(thm)],[c_597,c_114]) ).

cnf(c_7409,plain,
    ( ~ state_adjective_state_binding(B,C)
    | ~ state_adjective_state_binding(B,C)
    | ~ prop(A,B)
    | ~ subs(A,stehen_1_1)
    | ~ sub(D,name_1_1)
    | ~ scar(A,E)
    | ~ attr(sK1(A,B,C),D) ),
    inference(copy,[status(thm)],[c_7408]) ).

cnf(c_602,plain,
    ( ~ state_adjective_state_binding(B,C)
    | ~ prop(A,B)
    | ~ subs(A,stehen_1_1)
    | ~ sub(D,name_1_1)
    | ~ scar(A,E)
    | ~ attr(sK1(A,B,C),D) ),
    inference(copy,[status(thm)],[c_7409]) ).

cnf(c_7410,plain,
    ( ~ state_adjective_state_binding(C,D)
    | ~ prop(A,C)
    | ~ state_adjective_state_binding(C,D)
    | ~ prop(A,C)
    | ~ subs(A,stehen_1_1)
    | ~ sub(sK2(A,C,D),name_1_1)
    | ~ scar(A,B) ),
    inference(resolve,[status(thm)],[c_602,c_115]) ).

cnf(c_7411,plain,
    ( ~ state_adjective_state_binding(C,D)
    | ~ state_adjective_state_binding(C,D)
    | ~ prop(A,C)
    | ~ subs(A,stehen_1_1)
    | ~ sub(sK2(A,C,D),name_1_1)
    | ~ scar(A,B) ),
    inference(copy,[status(thm)],[c_7410]) ).

cnf(c_604,plain,
    ( ~ state_adjective_state_binding(C,D)
    | ~ prop(A,C)
    | ~ subs(A,stehen_1_1)
    | ~ sub(sK2(A,C,D),name_1_1)
    | ~ scar(A,B) ),
    inference(copy,[status(thm)],[c_7411]) ).

cnf(c_7412,plain,
    ( ~ state_adjective_state_binding(C,D)
    | ~ prop(A,C)
    | ~ state_adjective_state_binding(C,D)
    | ~ prop(A,C)
    | ~ subs(A,stehen_1_1)
    | ~ scar(A,B) ),
    inference(resolve,[status(thm)],[c_604,c_118]) ).

cnf(c_7413,plain,
    ( ~ state_adjective_state_binding(C,D)
    | ~ state_adjective_state_binding(C,D)
    | ~ prop(A,C)
    | ~ subs(A,stehen_1_1)
    | ~ scar(A,B) ),
    inference(copy,[status(thm)],[c_7412]) ).

cnf(c_608,plain,
    ( ~ state_adjective_state_binding(C,D)
    | ~ prop(A,C)
    | ~ subs(A,stehen_1_1)
    | ~ scar(A,B) ),
    inference(copy,[status(thm)],[c_7413]) ).

cnf(c_621,plain,
    ( ~ prop(A,italienisch__1_1)
    | ~ subs(A,stehen_1_1)
    | ~ scar(A,B) ),
    inference(resolve,[status(thm)],[c_608,c_154]) ).

cnf(c_7414,plain,
    ( val(sK2(c417,italienisch__1_1,A),A)
    | ~ state_adjective_state_binding(italienisch__1_1,A) ),
    inference(resolve,[status(thm)],[c_119,c_282]) ).

cnf(c_788,plain,
    val(sK2(c417,italienisch__1_1,italien_0),italien_0),
    inference(resolve,[status(thm)],[c_7414,c_154]) ).

cnf(c_7415,plain,
    ( sub(sK2(c417,italienisch__1_1,A),name_1_1)
    | ~ state_adjective_state_binding(italienisch__1_1,A) ),
    inference(resolve,[status(thm)],[c_118,c_282]) ).

cnf(c_789,plain,
    sub(sK2(c417,italienisch__1_1,italien_0),name_1_1),
    inference(resolve,[status(thm)],[c_7415,c_154]) ).

cnf(c_7416,plain,
    ( sub(sK1(c417,italienisch__1_1,A),land_1_1)
    | ~ state_adjective_state_binding(italienisch__1_1,A) ),
    inference(resolve,[status(thm)],[c_117,c_282]) ).

cnf(c_790,plain,
    sub(sK1(c417,italienisch__1_1,italien_0),land_1_1),
    inference(resolve,[status(thm)],[c_7416,c_154]) ).

cnf(c_7417,plain,
    ( loc(c417,sK0(c417,italienisch__1_1,A))
    | ~ state_adjective_state_binding(italienisch__1_1,A) ),
    inference(resolve,[status(thm)],[c_116,c_282]) ).

cnf(c_791,plain,
    loc(c417,sK0(c417,italienisch__1_1,italien_0)),
    inference(resolve,[status(thm)],[c_7417,c_154]) ).

cnf(c_7418,plain,
    ( attr(sK1(c417,italienisch__1_1,A),sK2(c417,italienisch__1_1,A))
    | ~ state_adjective_state_binding(italienisch__1_1,A) ),
    inference(resolve,[status(thm)],[c_115,c_282]) ).

cnf(c_792,plain,
    attr(sK1(c417,italienisch__1_1,italien_0),sK2(c417,italienisch__1_1,italien_0)),
    inference(resolve,[status(thm)],[c_7418,c_154]) ).

cnf(c_7419,plain,
    ( in(sK0(c417,italienisch__1_1,A),sK1(c417,italienisch__1_1,A))
    | ~ state_adjective_state_binding(italienisch__1_1,A) ),
    inference(resolve,[status(thm)],[c_114,c_282]) ).

cnf(c_793,plain,
    in(sK0(c417,italienisch__1_1,italien_0),sK1(c417,italienisch__1_1,italien_0)),
    inference(resolve,[status(thm)],[c_7419,c_154]) ).

cnf(c_2279,plain,
    ( ~ prop(sK3(A,B),italienisch__1_1)
    | ~ subs(sK3(A,B),stehen_1_1)
    | ~ loc(A,B) ),
    inference(resolve,[status(thm)],[c_250,c_621]) ).

cnf(c_7420,plain,
    ( ~ loc(A,B)
    | ~ prop(sK3(A,B),italienisch__1_1)
    | ~ loc(A,B) ),
    inference(resolve,[status(thm)],[c_2279,c_251]) ).

cnf(c_3621,plain,
    ( ~ prop(sK3(A,B),italienisch__1_1)
    | ~ loc(A,B) ),
    inference(copy,[status(thm)],[c_7420]) ).

cnf(c_7286,plain,
    ~ prop(sK3(c417,sK0(c417,italienisch__1_1,italien_0)),italienisch__1_1),
    inference(resolve,[status(thm)],[c_791,c_3621]) ).

cnf(c_7381,plain,
    loc(sK3(c417,sK0(c417,italienisch__1_1,italien_0)),sK0(c417,italienisch__1_1,italien_0)),
    inference(resolve,[status(thm)],[c_249,c_791]) ).

cnf(c_7421,plain,
    ( prop(B,C)
    | ~ val(A,D)
    | ~ sub(A,name_1_1)
    | ~ sub(sK1(c417,italienisch__1_1,italien_0),land_1_1)
    | ~ state_adjective_state_binding(C,D)
    | ~ loc(B,sK0(c417,italienisch__1_1,italien_0))
    | ~ attr(sK1(c417,italienisch__1_1,italien_0),A) ),
    inference(resolve,[status(thm)],[c_228,c_793]) ).

cnf(c_7422,plain,
    ( prop(A,B)
    | ~ val(sK2(c417,italienisch__1_1,italien_0),C)
    | ~ sub(sK2(c417,italienisch__1_1,italien_0),name_1_1)
    | ~ sub(sK1(c417,italienisch__1_1,italien_0),land_1_1)
    | ~ state_adjective_state_binding(B,C)
    | ~ loc(A,sK0(c417,italienisch__1_1,italien_0)) ),
    inference(resolve,[status(thm)],[c_7421,c_792]) ).

cnf(c_7423,plain,
    ( prop(A,italienisch__1_1)
    | ~ val(sK2(c417,italienisch__1_1,italien_0),italien_0)
    | ~ sub(sK2(c417,italienisch__1_1,italien_0),name_1_1)
    | ~ sub(sK1(c417,italienisch__1_1,italien_0),land_1_1)
    | ~ loc(A,sK0(c417,italienisch__1_1,italien_0)) ),
    inference(resolve,[status(thm)],[c_7422,c_154]) ).

cnf(c_7424,plain,
    ( prop(A,italienisch__1_1)
    | ~ val(sK2(c417,italienisch__1_1,italien_0),italien_0)
    | ~ sub(sK2(c417,italienisch__1_1,italien_0),name_1_1)
    | ~ loc(A,sK0(c417,italienisch__1_1,italien_0)) ),
    inference(resolve,[status(thm)],[c_7423,c_790]) ).

cnf(c_7425,plain,
    ( prop(A,italienisch__1_1)
    | ~ val(sK2(c417,italienisch__1_1,italien_0),italien_0)
    | ~ loc(A,sK0(c417,italienisch__1_1,italien_0)) ),
    inference(resolve,[status(thm)],[c_7424,c_789]) ).

cnf(c_7426,plain,
    ( prop(A,italienisch__1_1)
    | ~ loc(A,sK0(c417,italienisch__1_1,italien_0)) ),
    inference(resolve,[status(thm)],[c_7425,c_788]) ).

cnf(c_7427,plain,
    ~ loc(sK3(c417,sK0(c417,italienisch__1_1,italien_0)),sK0(c417,italienisch__1_1,italien_0)),
    inference(resolve,[status(thm)],[c_7426,c_7286]) ).

cnf(c_7407,plain,
    $false,
    inference(resolve,[status(thm)],[c_7381,c_7427]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR114+11 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38  % Computer : n026.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 27 01:07:25 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38  % Process 2331520 was started by sandbox on n026,
% 0.10/0.38  % Sun Sep 27 01:07:25 2026
% 0.10/0.38  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 14.21/2.56  
% 14.21/2.56  % SInE (scan): 98 to sos (tol 1.5x), 21 to usable (tol 2.0x), 10069 zapped, of 10188 axioms (depth 3).
% 14.21/2.56  
% 14.21/2.56  % From the command line: assign(max_seconds, 300).
% 14.21/2.56  
% 14.21/2.56  % given #500 (F,wt=14): 2929 -in(A,c36) | -scar(arretierung_1_1,B) | -subs(arretierung_1_1,stehen_1_1) | -loc(fassung_1_3,A).  [resolve(1574,d,150,a)].
% 14.21/2.56  
% 14.21/2.56  % given #1000 (T,wt=5): 1655 has_card_leq(arretierung_1_1,int1).  [ur(173,a,366,a)].
% 14.21/2.56  
% 14.21/2.56  % SZS status Theorem for theBenchmark
% 14.21/2.56  
% 14.21/2.56  % Proof 1 at 1.59 (+ 0.37) seconds.
% 14.21/2.56  % Length of proof is 34.
% 14.21/2.56  % Level of proof is 10.
% 14.21/2.56  % Maximum clause weight is 28.000.
% 14.21/2.56  % Given clauses 1311.
% 14.21/2.56  
% 14.21/2.56  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------