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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : CSR114+21 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p 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 : Fri Sep 25 01:11:01 PM UTC 2026

% Result   : Theorem 7.14s 1.94s
% Output   : CNFRefutation 7.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   48 (  15 unt;   0 def)
%            Number of atoms       :  502 (   0 equ)
%            Maximal formula atoms :   74 (  10 avg)
%            Number of connectives :  536 (  82   ~;  69   |; 384   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   74 (  12 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  16 usr;   1 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  28 con; 0-2 aty)
%            Number of variables   :   63 (   0 sgn  51   !;  12   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f180,axiom,
    ! [X0,X1] :
      ( loc(X0,X1)
     => ? [X2] :
          ( subs(X2,stehen_1_1)
          & scar(X2,X0)
          & loc(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',loc__stehen_1_1_loc) ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4] :
      ( val(X1,rom_0)
      & subs(X4,stehen_1_1)
      & sub(X3,kolosseum_1_1)
      & sub(X0,stadt__1_1)
      & sub(X1,name_1_1)
      & scar(X4,X3)
      & loc(X4,X2)
      & attr(X0,X1)
      & in(X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',synth_qa07_004_qapn_68) ).

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

fof(f10190,axiom,
    ( varia(kolosseum_1_1,con)
    & refer(kolosseum_1_1,det)
    & quant(kolosseum_1_1,one)
    & gener(kolosseum_1_1,sp)
    & fact(kolosseum_1_1,real)
    & etype(kolosseum_1_1,int0)
    & card(kolosseum_1_1,int1)
    & sort(kolosseum_1_1,d)
    & varia(c30,con)
    & refer(c30,det)
    & quant(c30,one)
    & gener(c30,sp)
    & fact(c30,real)
    & etype(c30,int0)
    & card(c30,int1)
    & sort(c30,l)
    & gener(restaurieren_1_1,ge)
    & fact(restaurieren_1_1,real)
    & sort(restaurieren_1_1,da)
    & varia(c5,con)
    & refer(c5,det)
    & quant(c5,one)
    & gener(c5,sp)
    & fact(c5,real)
    & etype(c5,int0)
    & card(c5,int1)
    & sort(c5,d)
    & gener(c19,sp)
    & fact(c19,real)
    & sort(c19,da)
    & sort(rom_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)
    & varia(c13,varia_c)
    & refer(c13,indet)
    & quant(c13,one)
    & gener(c13,sp)
    & fact(c13,real)
    & etype(c13,int0)
    & card(c13,int1)
    & sort(c13,na)
    & varia(c12,con)
    & refer(c12,det)
    & quant(c12,one)
    & gener(c12,sp)
    & fact(c12,real)
    & etype(c12,int0)
    & card(c12,int1)
    & sort(c12,io)
    & sort(c12,d)
    & sub(c5,kolosseum_1_1)
    & loc(c5,c30)
    & in(c30,c12)
    & subs(c19,restaurieren_1_1)
    & aff(c19,c5)
    & val(c13,rom_0)
    & sub(c13,name_1_1)
    & sub(c12,stadt__1_1)
    & attr(c12,c13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ave07_era5_synth_qa07_004_qapn_68) ).

fof(f10193,plain,
    ( varia(kolosseum_1_1,con)
    & refer(kolosseum_1_1,det)
    & quant(kolosseum_1_1,one)
    & gener(kolosseum_1_1,sp)
    & fact(kolosseum_1_1,real)
    & card(kolosseum_1_1,int1)
    & sort(kolosseum_1_1,d)
    & varia(c30,con)
    & refer(c30,det)
    & quant(c30,one)
    & gener(c30,sp)
    & fact(c30,real)
    & card(c30,int1)
    & sort(c30,l)
    & gener(restaurieren_1_1,ge)
    & fact(restaurieren_1_1,real)
    & sort(restaurieren_1_1,da)
    & varia(c5,con)
    & refer(c5,det)
    & quant(c5,one)
    & gener(c5,sp)
    & fact(c5,real)
    & card(c5,int1)
    & sort(c5,d)
    & gener(c19,sp)
    & fact(c19,real)
    & sort(c19,da)
    & sort(rom_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)
    & 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)
    & card(stadt__1_1,int1)
    & sort(stadt__1_1,io)
    & sort(stadt__1_1,d)
    & varia(c13,varia_c)
    & refer(c13,indet)
    & quant(c13,one)
    & gener(c13,sp)
    & fact(c13,real)
    & card(c13,int1)
    & sort(c13,na)
    & varia(c12,con)
    & refer(c12,det)
    & quant(c12,one)
    & gener(c12,sp)
    & fact(c12,real)
    & card(c12,int1)
    & sort(c12,io)
    & sort(c12,d)
    & sub(c5,kolosseum_1_1)
    & loc(c5,c30)
    & in(c30,c12)
    & subs(c19,restaurieren_1_1)
    & aff(c19,c5)
    & val(c13,rom_0)
    & sub(c13,name_1_1)
    & sub(c12,stadt__1_1)
    & attr(c12,c13) ),
    inference(pure_predicate_removal,[],[f10190]) ).

fof(f10217,plain,
    ( varia(kolosseum_1_1,con)
    & refer(kolosseum_1_1,det)
    & quant(kolosseum_1_1,one)
    & gener(kolosseum_1_1,sp)
    & fact(kolosseum_1_1,real)
    & card(kolosseum_1_1,int1)
    & varia(c30,con)
    & refer(c30,det)
    & quant(c30,one)
    & gener(c30,sp)
    & fact(c30,real)
    & card(c30,int1)
    & gener(restaurieren_1_1,ge)
    & fact(restaurieren_1_1,real)
    & varia(c5,con)
    & refer(c5,det)
    & quant(c5,one)
    & gener(c5,sp)
    & fact(c5,real)
    & card(c5,int1)
    & gener(c19,sp)
    & fact(c19,real)
    & 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)
    & card(name_1_1,int1)
    & 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)
    & card(stadt__1_1,int1)
    & varia(c13,varia_c)
    & refer(c13,indet)
    & quant(c13,one)
    & gener(c13,sp)
    & fact(c13,real)
    & card(c13,int1)
    & varia(c12,con)
    & refer(c12,det)
    & quant(c12,one)
    & gener(c12,sp)
    & fact(c12,real)
    & card(c12,int1)
    & sub(c5,kolosseum_1_1)
    & loc(c5,c30)
    & in(c30,c12)
    & subs(c19,restaurieren_1_1)
    & aff(c19,c5)
    & val(c13,rom_0)
    & sub(c13,name_1_1)
    & sub(c12,stadt__1_1)
    & attr(c12,c13) ),
    inference(pure_predicate_removal,[],[f10193]) ).

fof(f10219,plain,
    ( varia(kolosseum_1_1,con)
    & refer(kolosseum_1_1,det)
    & gener(kolosseum_1_1,sp)
    & fact(kolosseum_1_1,real)
    & card(kolosseum_1_1,int1)
    & varia(c30,con)
    & refer(c30,det)
    & gener(c30,sp)
    & fact(c30,real)
    & card(c30,int1)
    & gener(restaurieren_1_1,ge)
    & fact(restaurieren_1_1,real)
    & varia(c5,con)
    & refer(c5,det)
    & gener(c5,sp)
    & fact(c5,real)
    & card(c5,int1)
    & gener(c19,sp)
    & fact(c19,real)
    & varia(name_1_1,varia_c)
    & refer(name_1_1,refer_c)
    & gener(name_1_1,ge)
    & fact(name_1_1,real)
    & card(name_1_1,int1)
    & varia(stadt__1_1,varia_c)
    & refer(stadt__1_1,refer_c)
    & gener(stadt__1_1,ge)
    & fact(stadt__1_1,real)
    & card(stadt__1_1,int1)
    & varia(c13,varia_c)
    & refer(c13,indet)
    & gener(c13,sp)
    & fact(c13,real)
    & card(c13,int1)
    & varia(c12,con)
    & refer(c12,det)
    & gener(c12,sp)
    & fact(c12,real)
    & card(c12,int1)
    & sub(c5,kolosseum_1_1)
    & loc(c5,c30)
    & in(c30,c12)
    & subs(c19,restaurieren_1_1)
    & aff(c19,c5)
    & val(c13,rom_0)
    & sub(c13,name_1_1)
    & sub(c12,stadt__1_1)
    & attr(c12,c13) ),
    inference(pure_predicate_removal,[],[f10217]) ).

fof(f10221,plain,
    ( varia(kolosseum_1_1,con)
    & refer(kolosseum_1_1,det)
    & gener(kolosseum_1_1,sp)
    & fact(kolosseum_1_1,real)
    & varia(c30,con)
    & refer(c30,det)
    & gener(c30,sp)
    & fact(c30,real)
    & gener(restaurieren_1_1,ge)
    & fact(restaurieren_1_1,real)
    & varia(c5,con)
    & refer(c5,det)
    & gener(c5,sp)
    & fact(c5,real)
    & gener(c19,sp)
    & fact(c19,real)
    & varia(name_1_1,varia_c)
    & refer(name_1_1,refer_c)
    & gener(name_1_1,ge)
    & fact(name_1_1,real)
    & varia(stadt__1_1,varia_c)
    & refer(stadt__1_1,refer_c)
    & gener(stadt__1_1,ge)
    & fact(stadt__1_1,real)
    & varia(c13,varia_c)
    & refer(c13,indet)
    & gener(c13,sp)
    & fact(c13,real)
    & varia(c12,con)
    & refer(c12,det)
    & gener(c12,sp)
    & fact(c12,real)
    & sub(c5,kolosseum_1_1)
    & loc(c5,c30)
    & in(c30,c12)
    & subs(c19,restaurieren_1_1)
    & aff(c19,c5)
    & val(c13,rom_0)
    & sub(c13,name_1_1)
    & sub(c12,stadt__1_1)
    & attr(c12,c13) ),
    inference(pure_predicate_removal,[],[f10219]) ).

fof(f10224,plain,
    ( varia(kolosseum_1_1,con)
    & gener(kolosseum_1_1,sp)
    & fact(kolosseum_1_1,real)
    & varia(c30,con)
    & gener(c30,sp)
    & fact(c30,real)
    & gener(restaurieren_1_1,ge)
    & fact(restaurieren_1_1,real)
    & varia(c5,con)
    & gener(c5,sp)
    & fact(c5,real)
    & gener(c19,sp)
    & fact(c19,real)
    & varia(name_1_1,varia_c)
    & gener(name_1_1,ge)
    & fact(name_1_1,real)
    & varia(stadt__1_1,varia_c)
    & gener(stadt__1_1,ge)
    & fact(stadt__1_1,real)
    & varia(c13,varia_c)
    & gener(c13,sp)
    & fact(c13,real)
    & varia(c12,con)
    & gener(c12,sp)
    & fact(c12,real)
    & sub(c5,kolosseum_1_1)
    & loc(c5,c30)
    & in(c30,c12)
    & subs(c19,restaurieren_1_1)
    & aff(c19,c5)
    & val(c13,rom_0)
    & sub(c13,name_1_1)
    & sub(c12,stadt__1_1)
    & attr(c12,c13) ),
    inference(pure_predicate_removal,[],[f10221]) ).

fof(f10229,plain,
    ( varia(kolosseum_1_1,con)
    & gener(kolosseum_1_1,sp)
    & varia(c30,con)
    & gener(c30,sp)
    & gener(restaurieren_1_1,ge)
    & varia(c5,con)
    & gener(c5,sp)
    & gener(c19,sp)
    & varia(name_1_1,varia_c)
    & gener(name_1_1,ge)
    & varia(stadt__1_1,varia_c)
    & gener(stadt__1_1,ge)
    & varia(c13,varia_c)
    & gener(c13,sp)
    & varia(c12,con)
    & gener(c12,sp)
    & sub(c5,kolosseum_1_1)
    & loc(c5,c30)
    & in(c30,c12)
    & subs(c19,restaurieren_1_1)
    & aff(c19,c5)
    & val(c13,rom_0)
    & sub(c13,name_1_1)
    & sub(c12,stadt__1_1)
    & attr(c12,c13) ),
    inference(pure_predicate_removal,[],[f10224]) ).

fof(f10233,plain,
    ( gener(kolosseum_1_1,sp)
    & gener(c30,sp)
    & gener(restaurieren_1_1,ge)
    & gener(c5,sp)
    & gener(c19,sp)
    & gener(name_1_1,ge)
    & gener(stadt__1_1,ge)
    & gener(c13,sp)
    & gener(c12,sp)
    & sub(c5,kolosseum_1_1)
    & loc(c5,c30)
    & in(c30,c12)
    & subs(c19,restaurieren_1_1)
    & aff(c19,c5)
    & val(c13,rom_0)
    & sub(c13,name_1_1)
    & sub(c12,stadt__1_1)
    & attr(c12,c13) ),
    inference(pure_predicate_removal,[],[f10229]) ).

fof(f10237,plain,
    ( sub(c5,kolosseum_1_1)
    & loc(c5,c30)
    & in(c30,c12)
    & subs(c19,restaurieren_1_1)
    & aff(c19,c5)
    & val(c13,rom_0)
    & sub(c13,name_1_1)
    & sub(c12,stadt__1_1)
    & attr(c12,c13) ),
    inference(pure_predicate_removal,[],[f10233]) ).

fof(f10240,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ val(X1,rom_0)
      | ~ subs(X4,stehen_1_1)
      | ~ sub(X3,kolosseum_1_1)
      | ~ sub(X0,stadt__1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X4,X3)
      | ~ loc(X4,X2)
      | ~ attr(X0,X1)
      | ~ in(X2,X0) ),
    inference(ennf_transformation,[],[f10189]) ).

fof(f10257,plain,
    ! [X0,X1] :
      ( ~ loc(X0,X1)
      | ? [X2] :
          ( subs(X2,stehen_1_1)
          & scar(X2,X0)
          & loc(X2,X1) ) ),
    inference(ennf_transformation,[],[f180]) ).

fof(f10278,plain,
    ! [X0,X1] :
      ( ~ loc(X0,X1)
      | ( subs(sK2(X0,X1),stehen_1_1)
        & scar(sK2(X0,X1),X0)
        & loc(sK2(X0,X1),X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f10257]) ).

fof(f10280,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ val(X1,rom_0)
      | ~ subs(X4,stehen_1_1)
      | ~ sub(X3,kolosseum_1_1)
      | ~ sub(X0,stadt__1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X4,X3)
      | ~ loc(X4,X2)
      | ~ attr(X0,X1)
      | ~ in(X2,X0) ),
    inference(cnf_transformation,[],[f10240]) ).

fof(f10281,plain,
    sub(c5,kolosseum_1_1),
    inference(cnf_transformation,[],[f10237]) ).

fof(f10282,plain,
    loc(c5,c30),
    inference(cnf_transformation,[],[f10237]) ).

fof(f10283,plain,
    in(c30,c12),
    inference(cnf_transformation,[],[f10237]) ).

fof(f10286,plain,
    val(c13,rom_0),
    inference(cnf_transformation,[],[f10237]) ).

fof(f10287,plain,
    sub(c13,name_1_1),
    inference(cnf_transformation,[],[f10237]) ).

fof(f10288,plain,
    sub(c12,stadt__1_1),
    inference(cnf_transformation,[],[f10237]) ).

fof(f10289,plain,
    attr(c12,c13),
    inference(cnf_transformation,[],[f10237]) ).

fof(f10300,plain,
    ! [X0,X1] :
      ( ~ loc(X0,X1)
      | subs(sK2(X0,X1),stehen_1_1) ),
    inference(cnf_transformation,[],[f10278]) ).

fof(f10301,plain,
    ! [X0,X1] :
      ( ~ loc(X0,X1)
      | scar(sK2(X0,X1),X0) ),
    inference(cnf_transformation,[],[f10278]) ).

fof(f10302,plain,
    ! [X0,X1] :
      ( ~ loc(X0,X1)
      | loc(sK2(X0,X1),X1) ),
    inference(cnf_transformation,[],[f10278]) ).

tcf(c_49,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ val(X2,rom_0)
      | ~ subs(X3,stehen_1_1)
      | ~ sub(X4,kolosseum_1_1)
      | ~ sub(X2,name_1_1)
      | ~ sub(X1,stadt__1_1)
      | ~ scar(X3,X4)
      | ~ loc(X3,X0)
      | ~ attr(X1,X2)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f10280]) ).

tcf(c_50,plain,
    attr(c12,c13),
    inference(cnf_transformation,[],[f10289]) ).

tcf(c_51,plain,
    sub(c12,stadt__1_1),
    inference(cnf_transformation,[],[f10288]) ).

tcf(c_52,plain,
    sub(c13,name_1_1),
    inference(cnf_transformation,[],[f10287]) ).

tcf(c_53,plain,
    val(c13,rom_0),
    inference(cnf_transformation,[],[f10286]) ).

tcf(c_56,plain,
    in(c30,c12),
    inference(cnf_transformation,[],[f10283]) ).

tcf(c_57,plain,
    loc(c5,c30),
    inference(cnf_transformation,[],[f10282]) ).

tcf(c_58,plain,
    sub(c5,kolosseum_1_1),
    inference(cnf_transformation,[],[f10281]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i] :
      ( loc(sK2(X0,X1),X1)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[],[f10302]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i] :
      ( scar(sK2(X0,X1),X0)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[],[f10301]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i] :
      ( subs(sK2(X0,X1),stehen_1_1)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[],[f10300]) ).

tcf(c_288,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ sub(c12,stadt__1_1)
      | ~ val(X2,rom_0)
      | ~ subs(X0,stehen_1_1)
      | ~ sub(X2,name_1_1)
      | ~ sub(X1,kolosseum_1_1)
      | ~ loc(X0,c30)
      | ~ attr(c12,X2)
      | ~ scar(X0,X1) ),
    inference(resolution,[status(thm)],[c_49,c_56]) ).

tcf(c_290,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ scar(X0,X1)
      | ~ attr(c12,X2)
      | ~ loc(X0,c30)
      | ~ sub(X1,kolosseum_1_1)
      | ~ sub(X2,name_1_1)
      | ~ subs(X0,stehen_1_1)
      | ~ val(X2,rom_0) ),
    inference(global_subsumption_just,[status(thm)],[c_288,c_51,c_288]) ).

tcf(c_291,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ val(X2,rom_0)
      | ~ subs(X0,stehen_1_1)
      | ~ sub(X2,name_1_1)
      | ~ sub(X1,kolosseum_1_1)
      | ~ loc(X0,c30)
      | ~ attr(c12,X2)
      | ~ scar(X0,X1) ),
    inference(renaming,[status(thm)],[c_290]) ).

tcf(c_321,plain,
    ! [X0: $i,X1: $i] :
      ( ~ val(c13,rom_0)
      | ~ sub(c13,name_1_1)
      | ~ subs(X0,stehen_1_1)
      | ~ sub(X1,kolosseum_1_1)
      | ~ loc(X0,c30)
      | ~ scar(X0,X1) ),
    inference(resolution,[status(thm)],[c_50,c_291]) ).

tcf(c_323,plain,
    ! [X0: $i,X1: $i] :
      ( ~ subs(X0,stehen_1_1)
      | ~ sub(X1,kolosseum_1_1)
      | ~ loc(X0,c30)
      | ~ scar(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_321,c_53,c_52,c_321]) ).

tcf(c_342,plain,
    ! [X0: $i,X1: $i] :
      ( ~ sub(X0,kolosseum_1_1)
      | ~ loc(X0,X1)
      | ~ subs(sK2(X0,X1),stehen_1_1)
      | ~ loc(sK2(X0,X1),c30) ),
    inference(resolution,[status(thm)],[c_323,c_70]) ).

tcf(c_344,plain,
    ! [X0: $i,X1: $i] :
      ( ~ sub(X0,kolosseum_1_1)
      | ~ loc(X0,X1)
      | ~ loc(sK2(X0,X1),c30) ),
    inference(global_subsumption_just,[status(thm)],[c_342,c_71,c_342]) ).

tcf(c_439,plain,
    ( loc(sK2(c5,c30),c30)
    | ~ loc(c5,c30) ),
    inference(instantiation,[status(thm)],[c_69]) ).

tcf(c_440,plain,
    ! [X0: $i] :
      ( ~ sub(c5,kolosseum_1_1)
      | ~ loc(c5,X0)
      | ~ loc(sK2(c5,X0),c30) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_458,plain,
    ( ~ sub(c5,kolosseum_1_1)
    | ~ loc(c5,c30)
    | ~ loc(sK2(c5,c30),c30) ),
    inference(instantiation,[status(thm)],[c_440]) ).

tcf(c_459,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_458,c_439,c_57,c_58]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR114+21 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40  % Computer : n006.cluster.edu
% 0.14/0.40  % Model    : x86_64 x86_64
% 0.14/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40  % Memory   : 8046.5625MB
% 0.14/0.40  % OS       : Linux 6.8.0-71-generic
% 0.14/0.40  % CPULimit : 300
% 0.14/0.40  % WCLimit  : 300
% 0.14/0.40  % DateTime : Fri Sep 25 09:22:41 UTC 2026
% 0.14/0.40  % CPUTime  : 
% 0.14/0.40  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.47  Running first-order theorem proving
% 0.14/0.47  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.48  
% 0.14/0.48  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.48  
% 0.14/0.48  % Detected problem language: tptp
% 0.24/0.50  % Proving...
% 7.14/1.94  % SZS status Started for theBenchmark.p
% 7.14/1.94  ERROR - "ProverProcess:heur/409474:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 7.14/1.94  Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 7.14/1.94  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 4 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution false --res_forward_subs subset_subsumption --res_forward_subs_resolution true --res_lit_sel pos_max --res_lit_sel_side num_var --res_ordering kbo_pred --res_passive_queue_type priority_queues --res_passive_queues "[[-num_lits];[-conj_symb;-num_symb;+num_symb]]" --res_passive_queues_freq "[15;3]" --res_prop_simpl_given false --res_prop_simpl_new true --res_sim_input true --res_time_limit 202.80 --res_to_prop_solver passive --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify   -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_n5ktfj6k/t781hzgx 2>> /export/starexec/sandbox2/tmp/iprover_out_n5ktfj6k/t781hzgx_error
% 7.14/1.94  ERROR - "ProverProcess:heur/469571:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 7.14/1.94  Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 7.14/1.94  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 6 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3.0 --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 32 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp false --inst_learning_factor 10 --inst_learning_loop_flag true --inst_learning_start 256 --inst_lit_activity_flag true --inst_lit_sel "[+sign;-ground;-non_prol_conj_symb;-num_var]" --inst_lit_sel_side num_lit --inst_orphan_elimination true --inst_passive_queue_type list --inst_passive_queues "[[-ground;-epr]]" --inst_passive_queues_freq "[2]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 0.6939020527068606 --inst_solver_per_active 8 --inst_sos_flag false --inst_start_prop_sim_after_learn 9 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 2048 --prop_solver_per_cl 128 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[DemodLightNormLoopTriv;ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 640 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify   -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_n5ktfj6k/2nq72rr_ 2>> /export/starexec/sandbox2/tmp/iprover_out_n5ktfj6k/2nq72rr__error
% 7.14/1.94  ERROR - "ProverProcess:heur/381325:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 7.14/1.94  Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 7.14/1.94  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 1 --comb_sup_mult 3 --conj_cone_tolerance 3. --demod_completeness_check full --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[Demod;DemodLoopTriv;LightNorm;ACNormalisation]" --sup_full_triv "[]" --sup_fun_splitting true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes]" --sup_immed_fw_immed "[Subsumption;UnitSubsAndRes;Demod;DemodLoopTriv;LightNorm;DemodLightNormLoopTriv]" --sup_immed_fw_main "[Subsumption;SubsumptionRes;LightNorm;DemodLightNormLoopTriv]" --sup_immed_triv "[PropSubs]" --sup_indices_passive "[UnitSubsumption;NonunitSubsumption;FwDemod]" --sup_input_bw "[UnitSubsAndRes]" --sup_input_fw "[]" --sup_input_triv "[PropSubs]" --sup_iter_deepening 0 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_symb;-max_atom_input_occur];[+horn];[+bc_imp_inh;+ground;-conj_dist]]" --sup_passive_queues_freq "[3;1;25]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 8 --sup_score sim_d_gen --sup_share_max_num_cl 40 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering arity_random --sup_to_prop_solver active --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify   -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_n5ktfj6k/pgudk9b7 2>> /export/starexec/sandbox2/tmp/iprover_out_n5ktfj6k/pgudk9b7_error
% 7.14/1.94  ERROR - "ProverProcess:heur/346297:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 7.14/1.94  Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 7.14/1.94  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode time_based --comb_sup_deep_mult 6 --comb_sup_mult 32 --conj_cone_tolerance 2.7380125131254 --demod_completeness_check full --demod_use_ground true --eq_ax_congr_red false --extra_neg_conj none --inst_activity_threshold 16 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp true --inst_learning_factor 6 --inst_learning_loop_flag true --inst_learning_start 1024 --inst_lit_activity_flag true --inst_lit_sel "[+depth;+sign;+num_symb;-split;-eq]" --inst_lit_sel_side cnt --inst_orphan_elimination true --inst_passive_queue_type list --inst_passive_queues "[[-num_lits];[-max_atom_input_occur;-ground]]" --inst_passive_queues_freq "[8;50]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 0.21724605765256222 --inst_solver_per_active 256 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[-depth;+non_prol_conj_symb;-split;-ground;+num_var]" --inst_start_prop_sim_after_learn 8 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd false --prep_def_merge_prop_impl true --prep_def_merge_tr_cl true --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim false --prep_sem_filter none --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten false --prep_upred true --preprocessing_flag true --prolific_symb_bound 2048 --prop_solver_per_cl 32 --pure_diseq_elim false --resolution_flag false --schedule none --share_sel_clauses false --smt_ac_axioms full --smt_preprocessing true --splitting_cvd true --splitting_cvd_svl false --splitting_grd true --splitting_mode full --splitting_nvd 128 --stats_out none --sub_typing true --subs_bck_mult 0 --sup_full_bw "[Demod]" --sup_full_fw "[Subsumption;SubsumptionRes;UnitSubsAndRes;DemodLoopTriv;DemodLightNormLoopTriv;ACJoinability;ACNormalisation]" --sup_full_triv "[PropSubs;Unflattening]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod;ACJoinability]" --sup_immed_fw_main "[SubsumptionRes;DemodLoopTriv;DemodLightNormLoopTriv;ACJoinability;ACNormalisation]" --sup_immed_triv "[]" --sup_indices_passive "[UnitSubsumption;NonunitSubsumption;Subsumption;FwDemod;BwDemod;LightNorm]" --sup_input_bw "[]" --sup_input_fw "[]" --sup_input_triv "[PropSubs;Unflattening]" --sup_iter_deepening 4 --sup_passive_queue_type queue --sup_passive_queues "[[+num_symb]]" --sup_passive_queues_freq "[5]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 4 --sup_smt_interval 10000 --sup_symb_ordering arity_random --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.4432297345384799 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify   -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_n5ktfj6k/9_oz3_3w 2>> /export/starexec/sandbox2/tmp/iprover_out_n5ktfj6k/9_oz3_3w_error
% 7.14/1.94  % SZS status Theorem for theBenchmark.p
% 7.14/1.94  
% 7.14/1.94  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.14/1.94  
% 7.14/1.94  % ------  iProver source info
% 7.14/1.94  
% 7.14/1.94  % git: date: 2026-07-19 20:42:38 +0200
% 7.14/1.94  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.14/1.94  % git: non_committed_changes: false
% 7.14/1.94  
% 7.14/1.94  % ------ Parsing...
% 7.14/1.94  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 7.14/1.94  
% 7.14/1.94  % ------ Preprocessing... sf_s  rm: 14 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 7.14/1.94  
% 7.14/1.94  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.14/1.94  % ------ Proving...
% 7.14/1.94  % ------ Problem Properties 
% 7.14/1.94  
% 7.14/1.94  % 
% 7.14/1.94  % clauses                               15
% 7.14/1.94  % conjectures                           0
% 7.14/1.94  % EPR                                   8
% 7.14/1.94  % Horn                                  15
% 7.14/1.94  % unary                                 6
% 7.14/1.94  % binary                                2
% 7.14/1.94  % lits                                  32
% 7.14/1.94  % lits eq                               0
% 7.14/1.94  % fd_pure                               0
% 7.14/1.94  % fd_pseudo                             0
% 7.14/1.94  % fd_cond                               0
% 7.14/1.94  % fd_pseudo_cond                        0
% 7.14/1.94  % AC symbols                            0
% 7.14/1.94  
% 7.14/1.94  % ------ Schedule dynamic 5 is on 
% 7.14/1.94  
% 7.14/1.94  % ------ no conjectures: strip conj schedule 
% 7.14/1.94  
% 7.14/1.94  % ------ no equalities: superposition off 
% 7.14/1.94  
% 7.14/1.94  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 7.14/1.94  
% 7.14/1.94  
% 7.14/1.94  % ------ 
% 7.14/1.94  % Current options:
% 7.14/1.94  % ------ 
% 7.14/1.94  
% 7.14/1.94  
% 7.14/1.94  % 
% 7.14/1.94  
% 7.14/1.94  % ------ Proving...
% 7.14/1.94  % 
% 7.14/1.94  
% 7.14/1.94  % SZS status Theorem for theBenchmark.p
% 7.14/1.94  
% 7.14/1.94  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.14/1.94  
% 7.14/1.94  
%------------------------------------------------------------------------------