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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR115+64 : 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 : n020.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 07:07:46 AM UTC 2026

% Result   : Theorem 2.19s 0.84s
% Output   : CNFRefutation 2.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (  11 unt;   0 def)
%            Number of atoms       :  275 (   0 equ)
%            Maximal formula atoms :  152 (   8 avg)
%            Number of connectives :  317 (  73   ~;  61   |; 181   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  152 (  10 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-2 aty)
%            Number of functors    :   44 (  44 usr;  42 con; 0-3 aty)
%            Number of variables   :   91 (  34 sgn  26   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(member_first,axiom,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    file('theBenchmark.p',member_first) ).

fof(member_second,axiom,
    ! [X0,X1,X2] :
      ( member(X0,X2)
     => member(X0,cons(X1,X2)) ),
    file('theBenchmark.p',member_second) ).

fof(ave07_era5_synth_qa07_007_mira_wp_473,axiom,
    ( varia(industrie__1_1,varia_c)
    & refer(industrie__1_1,refer_c)
    & quant(industrie__1_1,quant_c)
    & gener(industrie__1_1,ge)
    & fact(industrie__1_1,real)
    & etype(industrie__1_1,int1)
    & card(industrie__1_1,card_c)
    & sort(industrie__1_1,io)
    & varia(r__374stung_1_1,varia_c)
    & refer(r__374stung_1_1,refer_c)
    & quant(r__374stung_1_1,one)
    & gener(r__374stung_1_1,ge)
    & fact(r__374stung_1_1,real)
    & etype(r__374stung_1_1,int0)
    & card(r__374stung_1_1,int1)
    & sort(r__374stung_1_1,d)
    & gener(akzeptieren_1_1,ge)
    & fact(akzeptieren_1_1,real)
    & sort(akzeptieren_1_1,da)
    & gener(c248,sp)
    & fact(c248,real)
    & sort(c248,da)
    & varia(r__374stungsindustrie_1_1,varia_c)
    & refer(r__374stungsindustrie_1_1,refer_c)
    & quant(r__374stungsindustrie_1_1,quant_c)
    & gener(r__374stungsindustrie_1_1,ge)
    & fact(r__374stungsindustrie_1_1,real)
    & etype(r__374stungsindustrie_1_1,int1)
    & card(r__374stungsindustrie_1_1,card_c)
    & sort(r__374stungsindustrie_1_1,io)
    & varia(c241,con)
    & refer(c241,det)
    & quant(c241,one)
    & gener(c241,sp)
    & fact(c241,real)
    & etype(c241,int1)
    & card(c241,int1)
    & sort(c241,io)
    & sort(eicher_0,fe)
    & varia(familiename_1_1,varia_c)
    & refer(familiename_1_1,refer_c)
    & quant(familiename_1_1,one)
    & gener(familiename_1_1,ge)
    & fact(familiename_1_1,real)
    & etype(familiename_1_1,int0)
    & card(familiename_1_1,int1)
    & sort(familiename_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(c237,varia_c)
    & refer(c237,indet)
    & quant(c237,one)
    & gener(c237,sp)
    & fact(c237,real)
    & etype(c237,int0)
    & card(c237,int1)
    & sort(c237,na)
    & varia(c236,con)
    & refer(c236,det)
    & quant(c236,one)
    & gener(c236,sp)
    & fact(c236,real)
    & etype(c236,int0)
    & card(c236,int1)
    & sort(c236,d)
    & varia(auftrag_1_1,varia_c)
    & refer(auftrag_1_1,refer_c)
    & quant(auftrag_1_1,one)
    & gener(auftrag_1_1,ge)
    & fact(auftrag_1_1,real)
    & etype(auftrag_1_1,int0)
    & card(auftrag_1_1,int1)
    & sort(auftrag_1_1,io)
    & sort(auftrag_1_1,d)
    & varia(c234,varia_c)
    & refer(c234,indet)
    & quant(c234,mult)
    & gener(c234,sp)
    & fact(c234,real)
    & etype(c234,int1)
    & card(c234,cons(x_constant,cons(int1,nil)))
    & sort(c234,io)
    & sort(c234,d)
    & varia(c204,con)
    & refer(c204,det)
    & quant(c204,one)
    & gener(c204,sp)
    & fact(c204,real)
    & etype(c204,int0)
    & card(c204,int1)
    & sort(c204,io)
    & sort(c204,d)
    & sort(bmw_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(firma_1_1,varia_c)
    & refer(firma_1_1,refer_c)
    & quant(firma_1_1,one)
    & gener(firma_1_1,ge)
    & fact(firma_1_1,real)
    & etype(firma_1_1,int0)
    & card(firma_1_1,int1)
    & sort(firma_1_1,io)
    & sort(firma_1_1,d)
    & varia(c201,varia_c)
    & refer(c201,indet)
    & quant(c201,one)
    & gener(c201,sp)
    & fact(c201,real)
    & etype(c201,int0)
    & card(c201,int1)
    & sort(c201,na)
    & varia(c200,con)
    & refer(c200,det)
    & quant(c200,one)
    & gener(c200,sp)
    & fact(c200,real)
    & etype(c200,int0)
    & card(c200,int1)
    & sort(c200,io)
    & sort(c200,d)
    & sub(r__374stungsindustrie_1_1,industrie__1_1)
    & assoc(r__374stungsindustrie_1_1,r__374stung_1_1)
    & subs(c248,akzeptieren_1_1)
    & obj(c248,c234)
    & benf(c248,c236)
    & assoc(c248,c200)
    & agt(c248,c204)
    & sub(c241,r__374stungsindustrie_1_1)
    & attch(c241,c234)
    & val(c237,eicher_0)
    & sub(c237,familiename_1_1)
    & sub(c236,mensch_1_1)
    & attr(c236,c237)
    & pred(c234,auftrag_1_1)
    & sub(c204,firma_1_1)
    & val(c201,bmw_0)
    & sub(c201,name_1_1)
    & sub(c200,firma_1_1)
    & attr(c200,c201) ),
    file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_473) ).

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

fof(synth_qa07_007_mira_wp_473,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( val(X2,bmw_0)
      & val(X1,bmw_0)
      & sub(X2,name_1_1)
      & sub(X0,firma_1_1)
      & sub(X1,name_1_1)
      & obj(X4,X0)
      & attr(X5,X6)
      & attr(X3,X2)
      & attr(X0,X1) ),
    file('theBenchmark.p',synth_qa07_007_mira_wp_473) ).

fof(synth_qa07_007_mira_wp_473_neg,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6] :
        ( val(X2,bmw_0)
        & val(X1,bmw_0)
        & sub(X2,name_1_1)
        & sub(X0,firma_1_1)
        & sub(X1,name_1_1)
        & obj(X4,X0)
        & attr(X5,X6)
        & attr(X3,X2)
        & attr(X0,X1) ),
    inference(assume_negation,[status(cth)],[synth_qa07_007_mira_wp_473]) ).

fof(nnf_63,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subs(X3,stehen_1_b)
          & scar(X3,X2)
          & obj(X3,X2)
          & mcont(X3,X2) )
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X2,X0) ),
    inference(fof_nnf,[status(thm)],[attr_name__abk__374rzung_stehen_1_b_f__374r]) ).

fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r_sk,plain,
    ! [X0,X1,X2] :
      ( ( subs(sK0(X0,X1,X2),stehen_1_b)
        & scar(sK0(X0,X1,X2),X2)
        & obj(sK0(X0,X1,X2),X2)
        & mcont(sK0(X0,X1,X2),X2) )
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X2,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[nnf_63]) ).

fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r,plain,
    ( ! [VAR_0,VAR_1,VAR_2] :
        ( subs(sK0(VAR_1,VAR_2,VAR_0),stehen_1_b)
        | ~ sub(VAR_1,VAR_2)
        | ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1,VAR_2] :
        ( scar(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
        | ~ sub(VAR_1,VAR_2)
        | ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1,VAR_2] :
        ( obj(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
        | ~ sub(VAR_1,VAR_2)
        | ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1,VAR_2] :
        ( mcont(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
        | ~ sub(VAR_1,VAR_2)
        | ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(VAR_0,VAR_1) ) ),
    inference(cnf_transformation,[status(thm)],[sk_attr_name__abk__374rzung_stehen_1_b_f__374r_sk]) ).

cnf(c_129,plain,
    ( obj(sK0(B,C,A),A)
    | ~ sub(B,C)
    | ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_attr_name__abk__374rzung_stehen_1_b_f__374r]) ).

cnf(c_171,plain,
    member(A,cons(A,B)),
    inference(clausify,[status(thm)],[member_first]) ).

cnf(c_172,plain,
    ( member(A,cons(C,B))
    | ~ member(A,B) ),
    inference(clausify,[status(thm)],[member_second]) ).

cnf(c_249,plain,
    attr(c200,c201),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_473]) ).

cnf(c_250,plain,
    sub(c200,firma_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_473]) ).

cnf(c_251,plain,
    sub(c201,name_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_473]) ).

cnf(c_252,plain,
    val(c201,bmw_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_473]) ).

cnf(c_401,negated_conjecture,
    ( ~ val(D,bmw_0)
    | ~ val(B,bmw_0)
    | ~ sub(D,name_1_1)
    | ~ sub(A,firma_1_1)
    | ~ sub(B,name_1_1)
    | ~ obj(V6,A)
    | ~ attr(E,F)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(clausify,[status(thm)],[synth_qa07_007_mira_wp_473_neg]) ).

cnf(c_504,plain,
    member(A,cons(B,cons(A,C))),
    inference(resolve,[status(thm)],[c_172,c_171]) ).

cnf(c_763,negated_conjecture,
    ( ~ val(B,bmw_0)
    | ~ val(c201,bmw_0)
    | ~ sub(B,name_1_1)
    | ~ sub(c200,firma_1_1)
    | ~ sub(c201,name_1_1)
    | ~ obj(E,c200)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_249,c_401]) ).

cnf(c_764,negated_conjecture,
    ( ~ val(B,bmw_0)
    | ~ val(c201,bmw_0)
    | ~ sub(B,name_1_1)
    | ~ sub(c200,firma_1_1)
    | ~ obj(E,c200)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_251,c_763]) ).

cnf(c_765,negated_conjecture,
    ( ~ val(B,bmw_0)
    | ~ val(c201,bmw_0)
    | ~ sub(B,name_1_1)
    | ~ obj(E,c200)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_250,c_764]) ).

cnf(c_638,negated_conjecture,
    ( ~ val(B,bmw_0)
    | ~ sub(B,name_1_1)
    | ~ obj(E,c200)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_252,c_765]) ).

cnf(c_766,plain,
    ( ~ val(c201,bmw_0)
    | ~ sub(c201,name_1_1)
    | ~ obj(C,c200)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_638,c_249]) ).

cnf(c_767,plain,
    ( ~ val(c201,bmw_0)
    | ~ obj(C,c200)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_251,c_766]) ).

cnf(c_639,plain,
    ( ~ obj(C,c200)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_252,c_767]) ).

cnf(c_642,plain,
    ~ obj(A,c200),
    inference(resolve,[status(thm)],[c_639,c_249]) ).

cnf(c_768,plain,
    ( obj(sK0(c201,A,c200),c200)
    | ~ sub(c201,A)
    | ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolve,[status(thm)],[c_129,c_249]) ).

cnf(c_769,plain,
    ( obj(sK0(c201,name_1_1,c200),c200)
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolve,[status(thm)],[c_768,c_251]) ).

cnf(c_663,plain,
    ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
    inference(resolve,[status(thm)],[c_769,c_642]) ).

cnf(c_770,plain,
    ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
    inference(resolve,[status(thm)],[c_663,c_172]) ).

cnf(c_762,plain,
    $false,
    inference(resolve,[status(thm)],[c_504,c_770]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR115+64 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  % Computer : n020.cluster.edu
% 0.18/0.45  % Model    : x86_64 x86_64
% 0.18/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45  % Memory   : 8046.5625MB
% 0.18/0.45  % OS       : Linux 6.8.0-71-generic
% 0.18/0.45  % CPULimit : 300
% 0.18/0.45  % WCLimit  : 300
% 0.18/0.45  % DateTime : Sun Sep 27 01:11:34 UTC 2026
% 0.18/0.45  % CPUTime  : 
% 0.18/0.45  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45  % Process 2929738 was started by sandbox on n020,
% 0.18/0.45  % Sun Sep 27 01:11:34 2026
% 0.18/0.45  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 2.19/0.84  
% 2.19/0.84  % SInE (scan): 73 to sos (tol 1.5x), 29 to usable (tol 2.0x), 10086 zapped, of 10188 axioms (depth 3).
% 2.19/0.84  
% 2.19/0.84  % From the command line: assign(max_seconds, 300).
% 2.19/0.84  
% 2.19/0.84  % SZS status Theorem for theBenchmark
% 2.19/0.84  
% 2.19/0.84  % Proof 1 at 0.21 (+ 0.05) seconds.
% 2.19/0.84  % Length of proof is 19.
% 2.19/0.84  % Level of proof is 6.
% 2.19/0.84  % Maximum clause weight is 27.000.
% 2.19/0.84  % Given clauses 80.
% 2.19/0.84  
% 2.19/0.84  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------