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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR114+25 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n010.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 07:07:37 AM UTC 2026

% Result   : Theorem 18.20s 3.81s
% Output   : CNFRefutation 18.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   30 (  11 unt;   0 def)
%            Number of atoms       :  315 (   0 equ)
%            Maximal formula atoms :  215 (  10 avg)
%            Number of connectives :  342 (  57   ~;  46   |; 238   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  215 (  12 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   29 (  28 usr;   1 prp; 0-2 aty)
%            Number of functors    :   65 (  65 usr;  63 con; 0-2 aty)
%            Number of variables   :   51 (   0 sgn  12   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
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_qapw_81,axiom,
    ( varia(art_1_1,varia_c)
    & refer(art_1_1,refer_c)
    & quant(art_1_1,quant_c)
    & gener(art_1_1,ge)
    & fact(art_1_1,real)
    & etype(art_1_1,int1)
    & card(art_1_1,card_c)
    & sort(art_1_1,ad)
    & varia(c9853,varia_c)
    & refer(c9853,det)
    & quant(c9853,one)
    & gener(c9853,sp)
    & fact(c9853,real)
    & etype(c9853,int1)
    & card(c9853,int1)
    & sort(c9853,ad)
    & sort(spaet_1_1,mq)
    & varia(anlage_1_1,varia_c)
    & refer(anlage_1_1,refer_c)
    & quant(anlage_1_1,one)
    & gener(anlage_1_1,ge)
    & fact(anlage_1_1,real)
    & etype(anlage_1_1,int0)
    & card(anlage_1_1,int1)
    & sort(anlage_1_1,as)
    & varia(technik__1_1,varia_c)
    & refer(technik__1_1,refer_c)
    & quant(technik__1_1,one)
    & gener(technik__1_1,ge)
    & fact(technik__1_1,real)
    & etype(technik__1_1,int0)
    & card(technik__1_1,int1)
    & sort(technik__1_1,io)
    & varia(man_1_1,varia_c)
    & refer(man_1_1,refer_c)
    & quant(man_1_1,one)
    & gener(man_1_1,ge)
    & fact(man_1_1,real)
    & etype(man_1_1,int0)
    & card(man_1_1,int1)
    & sort(man_1_1,d)
    & gener(geben_1_4,ge)
    & fact(geben_1_4,real)
    & sort(geben_1_4,da)
    & varia(c9837,con)
    & refer(c9837,det)
    & quant(c9837,one)
    & gener(c9837,sp)
    & fact(c9837,real)
    & etype(c9837,int0)
    & card(c9837,int1)
    & sort(c9837,io)
    & gener(nicht_1_1,gener_c)
    & fact(nicht_1_1,real)
    & sort(nicht_1_1,md)
    & sort(wie_1_1,mq)
    & varia(c9847,varia_c)
    & refer(c9847,det)
    & quant(c9847,mult)
    & gener(c9847,sp)
    & fact(c9847,real)
    & etype(c9847,int1)
    & card(c9847,cons(x_constant,cons(int1,nil)))
    & sort(c9847,as)
    & varia(c9825,varia_c)
    & refer(c9825,det)
    & quant(c9825,one)
    & gener(c9825,sp)
    & fact(c9825,real)
    & etype(c9825,int0)
    & card(c9825,int1)
    & sort(c9825,o)
    & gener(haben_1_1,ge)
    & fact(haben_1_1,real)
    & sort(haben_1_1,st)
    & varia(c4,varia_c)
    & refer(c4,refer_c)
    & quant(c4,one)
    & gener(c4,ge)
    & fact(c4,real)
    & etype(c4,int0)
    & card(c4,int1)
    & sort(c4,d)
    & gener(c24,sp)
    & fact(c24,real)
    & sort(c24,da)
    & gener(c21,sp)
    & fact(c21,real)
    & sort(c21,st)
    & varia(bau_1_1,varia_c)
    & refer(bau_1_1,refer_c)
    & quant(bau_1_1,one)
    & gener(bau_1_1,ge)
    & fact(bau_1_1,real)
    & etype(bau_1_1,int0)
    & card(bau_1_1,int1)
    & sort(bau_1_1,d)
    & varia(c20,varia_c)
    & refer(c20,det)
    & quant(c20,mult)
    & gener(c20,sp)
    & fact(c20,real)
    & etype(c20,int1)
    & card(c20,cons(x_constant,cons(int1,nil)))
    & sort(c20,d)
    & 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(c13132,varia_c)
    & refer(c13132,indet)
    & quant(c13132,one)
    & gener(c13132,sp)
    & fact(c13132,real)
    & etype(c13132,int0)
    & card(c13132,int1)
    & sort(c13132,na)
    & varia(c13131,con)
    & refer(c13131,det)
    & quant(c13131,one)
    & gener(c13131,sp)
    & fact(c13131,real)
    & etype(c13131,int0)
    & card(c13131,int1)
    & sort(c13131,io)
    & sort(c13131,d)
    & 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(c13134,con)
    & refer(c13134,det)
    & quant(c13134,one)
    & gener(c13134,sp)
    & fact(c13134,real)
    & etype(c13134,int0)
    & card(c13134,int1)
    & sort(c13134,l)
    & varia(c13125,con)
    & refer(c13125,det)
    & quant(c13125,one)
    & gener(c13125,sp)
    & fact(c13125,real)
    & etype(c13125,int0)
    & card(c13125,int1)
    & sort(c13125,d)
    & varia(er_fahrung_1_1,varia_c)
    & refer(er_fahrung_1_1,refer_c)
    & quant(er_fahrung_1_1,one)
    & gener(er_fahrung_1_1,ge)
    & fact(er_fahrung_1_1,real)
    & etype(er_fahrung_1_1,int0)
    & card(er_fahrung_1_1,int1)
    & sort(er_fahrung_1_1,io)
    & sort(er_fahrung_1_1,as)
    & varia(c11,varia_c)
    & refer(c11,indet)
    & quant(c11,mult)
    & gener(c11,sp)
    & fact(c11,nonreal)
    & etype(c11,int1)
    & card(c11,cons(x_constant,cons(int1,nil)))
    & sort(c11,io)
    & sort(c11,as)
    & sort(c0,tq)
    & gener(auskl__374geln_1_1,ge)
    & fact(auskl__374geln_1_1,real)
    & sort(auskl__374geln_1_1,dn)
    & subs(c9853,art_1_1)
    & attch(c9853,c9847)
    & prop(c9847,spaet_1_1)
    & preds(c9847,anlage_1_1)
    & sub(c9837,technik__1_1)
    & prop(c9837,c0)
    & sub(c4,man_1_1)
    & subs(c24,geben_1_4)
    & obj(c24,c9837)
    & modl(c24,nicht_1_1)
    & mannr(c24,wie_1_1)
    & circ(c24,c9847)
    & benf(c24,c13125)
    & agt(c24,c9825)
    & subs(c21,haben_1_1)
    & scar(c21,c4)
    & reas(c21,c24)
    & obj(c21,c11)
    & assoc(c21,c20)
    & pred(c20,bau_1_1)
    & in(c13134,c13131)
    & val(c13132,rom_0)
    & sub(c13132,name_1_1)
    & sub(c13131,stadt__1_1)
    & attr(c13131,c13132)
    & sub(c13125,kolosseum_1_1)
    & loc(c13125,c13134)
    & pred(c11,er_fahrung_1_1)
    & chsp2(auskl__374geln_1_1,c0) ),
    file('theBenchmark.p',ave07_era5_synth_qa07_004_qapw_81) ).

fof(synth_qa07_004_qapw_81,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('theBenchmark.p',synth_qa07_004_qapw_81) ).

fof(synth_qa07_004_qapw_81_neg,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(assume_negation,[status(cth)],[synth_qa07_004_qapw_81]) ).

fof(nnf_44,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(sK0(X0,X1),stehen_1_1)
        & scar(sK0(X0,X1),X0)
        & loc(sK0(X0,X1),X1) )
      | ~ loc(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[nnf_44]) ).

fof(sk_loc__stehen_1_1_loc,plain,
    ( ! [VAR_0,VAR_1] :
        ( subs(sK0(VAR_0,VAR_1),stehen_1_1)
        | ~ loc(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1] :
        ( scar(sK0(VAR_0,VAR_1),VAR_0)
        | ~ loc(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1] :
        ( loc(sK0(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_235,plain,
    ( loc(sK0(A,B),B)
    | ~ loc(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).

cnf(c_236,plain,
    ( scar(sK0(A,B),A)
    | ~ loc(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).

cnf(c_237,plain,
    ( subs(sK0(A,B),stehen_1_1)
    | ~ loc(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).

cnf(c_245,plain,
    loc(c13125,c13134),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_81]) ).

cnf(c_246,plain,
    sub(c13125,kolosseum_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_81]) ).

cnf(c_247,plain,
    attr(c13131,c13132),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_81]) ).

cnf(c_248,plain,
    sub(c13131,stadt__1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_81]) ).

cnf(c_249,plain,
    sub(c13132,name_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_81]) ).

cnf(c_250,plain,
    val(c13132,rom_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_81]) ).

cnf(c_251,plain,
    in(c13134,c13131),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_81]) ).

cnf(c_458,negated_conjecture,
    ( ~ val(C,rom_0)
    | ~ subs(D,stehen_1_1)
    | ~ sub(E,kolosseum_1_1)
    | ~ sub(B,stadt__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_qapw_81_neg]) ).

cnf(c_6802,negated_conjecture,
    ( ~ val(c13132,rom_0)
    | ~ subs(B,stehen_1_1)
    | ~ sub(C,kolosseum_1_1)
    | ~ sub(c13131,stadt__1_1)
    | ~ sub(c13132,name_1_1)
    | ~ scar(B,C)
    | ~ loc(B,A)
    | ~ in(A,c13131) ),
    inference(resolve,[status(thm)],[c_247,c_458]) ).

cnf(c_6803,negated_conjecture,
    ( ~ val(c13132,rom_0)
    | ~ subs(B,stehen_1_1)
    | ~ sub(C,kolosseum_1_1)
    | ~ sub(c13131,stadt__1_1)
    | ~ scar(B,C)
    | ~ loc(B,A)
    | ~ in(A,c13131) ),
    inference(resolve,[status(thm)],[c_249,c_6802]) ).

cnf(c_6804,negated_conjecture,
    ( ~ val(c13132,rom_0)
    | ~ subs(B,stehen_1_1)
    | ~ sub(C,kolosseum_1_1)
    | ~ scar(B,C)
    | ~ loc(B,A)
    | ~ in(A,c13131) ),
    inference(resolve,[status(thm)],[c_248,c_6803]) ).

cnf(c_991,negated_conjecture,
    ( ~ subs(B,stehen_1_1)
    | ~ sub(C,kolosseum_1_1)
    | ~ scar(B,C)
    | ~ loc(B,A)
    | ~ in(A,c13131) ),
    inference(resolve,[status(thm)],[c_250,c_6804]) ).

cnf(c_1024,plain,
    ( ~ subs(A,stehen_1_1)
    | ~ sub(B,kolosseum_1_1)
    | ~ scar(A,B)
    | ~ loc(A,c13134) ),
    inference(resolve,[status(thm)],[c_991,c_251]) ).

cnf(c_1039,plain,
    ( ~ subs(A,stehen_1_1)
    | ~ scar(A,c13125)
    | ~ loc(A,c13134) ),
    inference(resolve,[status(thm)],[c_1024,c_246]) ).

cnf(c_4626,plain,
    ( ~ subs(sK0(A,c13134),stehen_1_1)
    | ~ scar(sK0(A,c13134),c13125)
    | ~ loc(A,c13134) ),
    inference(resolve,[status(thm)],[c_235,c_1039]) ).

cnf(c_4749,plain,
    scar(sK0(c13125,c13134),c13125),
    inference(resolve,[status(thm)],[c_236,c_245]) ).

cnf(c_4850,plain,
    subs(sK0(c13125,c13134),stehen_1_1),
    inference(resolve,[status(thm)],[c_237,c_245]) ).

cnf(c_6805,plain,
    ( ~ subs(sK0(c13125,c13134),stehen_1_1)
    | ~ scar(sK0(c13125,c13134),c13125) ),
    inference(resolve,[status(thm)],[c_4626,c_245]) ).

cnf(c_6806,plain,
    ~ subs(sK0(c13125,c13134),stehen_1_1),
    inference(resolve,[status(thm)],[c_4749,c_6805]) ).

cnf(c_6801,plain,
    $false,
    inference(resolve,[status(thm)],[c_4850,c_6806]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR114+25 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/1.08  % Computer : n010.cluster.edu
% 0.20/1.08  % Model    : x86_64 x86_64
% 0.20/1.08  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/1.08  % Memory   : 8046.5625MB
% 0.20/1.08  % OS       : Linux 6.8.0-71-generic
% 0.20/1.08  % CPULimit : 300
% 0.20/1.08  % WCLimit  : 300
% 0.20/1.08  % DateTime : Sun Sep 27 01:06:19 UTC 2026
% 0.20/1.08  % CPUTime  : 
% 0.20/1.09  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.20/1.09  % Process 431839 was started by sandbox2 on n010,
% 0.20/1.09  % Sun Sep 27 01:06:19 2026
% 0.20/1.09  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 18.20/3.81  
% 18.20/3.81  % SInE (scan): 86 to sos (tol 1.5x), 24 to usable (tol 2.0x), 10078 zapped, of 10188 axioms (depth 3).
% 18.20/3.81  
% 18.20/3.81  % From the command line: assign(max_seconds, 300).
% 18.20/3.81  
% 18.20/3.81  % given #500 (F,wt=12): 2133 -subs(haben_1_1,stehen_1_1) | -sub(c4,kolosseum_1_1) | -hsit(A,c21) | -loc(A,c13134).  [resolve(2122,b,198,c)].
% 18.20/3.81  
% 18.20/3.81  % SZS status Theorem for theBenchmark
% 18.20/3.81  
% 18.20/3.81  % Proof 1 at 2.24 (+ 0.28) seconds.
% 18.20/3.81  % Length of proof is 21.
% 18.20/3.81  % Level of proof is 6.
% 18.20/3.81  % Maximum clause weight is 27.000.
% 18.20/3.81  % Given clauses 961.
% 18.20/3.81  
% 18.20/3.81  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------