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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR115+92 : 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 07:07:49 AM UTC 2026

% Result   : Theorem 1.57s 0.80s
% Output   : CNFRefutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   34 (  14 unt;   0 def)
%            Number of atoms       :  222 (   0 equ)
%            Maximal formula atoms :   96 (   6 avg)
%            Number of connectives :  261 (  73   ~;  61   |; 125   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   96 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  17 usr;   1 prp; 0-4 aty)
%            Number of functors    :   37 (  37 usr;  35 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_532,axiom,
    ( varia(c17915,varia_c)
    & refer(c17915,refer_c)
    & quant(c17915,quant_c)
    & gener(c17915,gener_c)
    & fact(c17915,real)
    & etype(c17915,etype_c)
    & card(c17915,card_c)
    & sort(c17915,ent)
    & sort(sauber_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(c17770,varia_c)
    & refer(c17770,indet)
    & quant(c17770,one)
    & gener(c17770,sp)
    & fact(c17770,real)
    & etype(c17770,int0)
    & card(c17770,int1)
    & sort(c17770,na)
    & varia(c17769,con)
    & refer(c17769,det)
    & quant(c17769,one)
    & gener(c17769,sp)
    & fact(c17769,real)
    & etype(c17769,int0)
    & card(c17769,int1)
    & sort(c17769,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(c17760,varia_c)
    & refer(c17760,indet)
    & quant(c17760,one)
    & gener(c17760,sp)
    & fact(c17760,real)
    & etype(c17760,int0)
    & card(c17760,int1)
    & sort(c17760,na)
    & varia(c17729,varia_c)
    & refer(c17729,indet)
    & quant(c17729,one)
    & gener(c17729,sp)
    & fact(c17729,real)
    & etype(c17729,int0)
    & card(c17729,int1)
    & sort(c17729,na)
    & varia(c17728,con)
    & refer(c17728,det)
    & quant(c17728,one)
    & gener(c17728,sp)
    & fact(c17728,real)
    & etype(c17728,int0)
    & card(c17728,int1)
    & sort(c17728,io)
    & sort(c17728,d)
    & tupl_p4(c17915,c17728,c17728,c17769)
    & val(c17770,sauber_0)
    & sub(c17770,familiename_1_1)
    & sub(c17769,mensch_1_1)
    & attr(c17769,c17770)
    & val(c17760,bmw_0)
    & sub(c17760,name_1_1)
    & val(c17729,bmw_0)
    & sub(c17729,name_1_1)
    & sub(c17728,firma_1_1)
    & attr(c17728,c17760)
    & attr(c17728,c17729) ),
    file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_532) ).

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_532,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_532) ).

fof(synth_qa07_007_mira_wp_532_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_532]) ).

fof(nnf_55,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_55]) ).

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_117,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_156,plain,
    member(A,cons(A,B)),
    inference(clausify,[status(thm)],[member_first]) ).

cnf(c_157,plain,
    ( member(A,cons(C,B))
    | ~ member(A,B) ),
    inference(clausify,[status(thm)],[member_second]) ).

cnf(c_223,plain,
    attr(c17728,c17729),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_532]) ).

cnf(c_224,plain,
    attr(c17728,c17760),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_532]) ).

cnf(c_225,plain,
    sub(c17728,firma_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_532]) ).

cnf(c_226,plain,
    sub(c17729,name_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_532]) ).

cnf(c_227,plain,
    val(c17729,bmw_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_532]) ).

cnf(c_228,plain,
    sub(c17760,name_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_532]) ).

cnf(c_229,plain,
    val(c17760,bmw_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_532]) ).

cnf(c_319,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_532_neg]) ).

cnf(c_396,plain,
    member(A,cons(B,cons(A,C))),
    inference(resolve,[status(thm)],[c_157,c_156]) ).

cnf(c_591,negated_conjecture,
    ( ~ val(B,bmw_0)
    | ~ val(c17729,bmw_0)
    | ~ sub(B,name_1_1)
    | ~ sub(c17728,firma_1_1)
    | ~ sub(c17729,name_1_1)
    | ~ obj(E,c17728)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_223,c_319]) ).

cnf(c_592,negated_conjecture,
    ( ~ val(B,bmw_0)
    | ~ val(c17729,bmw_0)
    | ~ sub(B,name_1_1)
    | ~ sub(c17728,firma_1_1)
    | ~ obj(E,c17728)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_226,c_591]) ).

cnf(c_593,negated_conjecture,
    ( ~ val(B,bmw_0)
    | ~ val(c17729,bmw_0)
    | ~ sub(B,name_1_1)
    | ~ obj(E,c17728)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_225,c_592]) ).

cnf(c_510,negated_conjecture,
    ( ~ val(B,bmw_0)
    | ~ sub(B,name_1_1)
    | ~ obj(E,c17728)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_227,c_593]) ).

cnf(c_594,plain,
    ( ~ val(c17760,bmw_0)
    | ~ sub(c17760,name_1_1)
    | ~ obj(C,c17728)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_510,c_224]) ).

cnf(c_595,plain,
    ( ~ val(c17760,bmw_0)
    | ~ obj(C,c17728)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_228,c_594]) ).

cnf(c_511,plain,
    ( ~ obj(C,c17728)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_229,c_595]) ).

cnf(c_514,plain,
    ~ obj(A,c17728),
    inference(resolve,[status(thm)],[c_511,c_224]) ).

cnf(c_596,plain,
    ( obj(sK0(c17729,A,c17728),c17728)
    | ~ sub(c17729,A)
    | ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolve,[status(thm)],[c_117,c_223]) ).

cnf(c_597,plain,
    ( obj(sK0(c17729,name_1_1,c17728),c17728)
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolve,[status(thm)],[c_596,c_226]) ).

cnf(c_533,plain,
    ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
    inference(resolve,[status(thm)],[c_597,c_514]) ).

cnf(c_598,plain,
    ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
    inference(resolve,[status(thm)],[c_533,c_157]) ).

cnf(c_590,plain,
    $false,
    inference(resolve,[status(thm)],[c_396,c_598]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR115+92 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  % Computer : n020.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8046.5625MB
% 0.18/0.44  % OS       : Linux 6.8.0-71-generic
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Sun Sep 27 01:13:49 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 2934975 was started by sandbox on n020,
% 0.18/0.45  % Sun Sep 27 01:13:49 2026
% 0.18/0.45  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.57/0.80  
% 1.57/0.80  % SInE (scan): 65 to sos (tol 1.5x), 24 to usable (tol 2.0x), 10099 zapped, of 10188 axioms (depth 3).
% 1.57/0.80  
% 1.57/0.80  % From the command line: assign(max_seconds, 300).
% 1.57/0.80  
% 1.57/0.80  % SZS status Theorem for theBenchmark
% 1.57/0.80  
% 1.57/0.80  % Proof 1 at 0.15 (+ 0.05) seconds.
% 1.57/0.80  % Length of proof is 22.
% 1.57/0.80  % Level of proof is 6.
% 1.57/0.80  % Maximum clause weight is 108.000.
% 1.57/0.80  % Given clauses 60.
% 1.57/0.80  
% 1.57/0.80  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------