↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR115+3 : 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 : n013.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 07:07:43 AM UTC 2026

% Result   : Theorem 2.50s 0.83s
% Output   : CNFRefutation 2.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (  10 unt;   0 def)
%            Number of atoms       :  362 (   0 equ)
%            Maximal formula atoms :  215 (  11 avg)
%            Number of connectives :  429 (  98   ~;  85   |; 244   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  215 (  13 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-10 aty)
%            Number of functors    :   57 (  57 usr;  55 con; 0-3 aty)
%            Number of variables   :   95 (  19 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_news_1086,axiom,
    ( varia(konzept__1_1,varia_c)
    & refer(konzept__1_1,refer_c)
    & quant(konzept__1_1,one)
    & gener(konzept__1_1,ge)
    & fact(konzept__1_1,real)
    & etype(konzept__1_1,int0)
    & card(konzept__1_1,int1)
    & sort(konzept__1_1,io)
    & sort(konzept__1_1,d)
    & varia(fahrzeug__1_1,varia_c)
    & refer(fahrzeug__1_1,refer_c)
    & quant(fahrzeug__1_1,one)
    & gener(fahrzeug__1_1,ge)
    & fact(fahrzeug__1_1,real)
    & etype(fahrzeug__1_1,int0)
    & card(fahrzeug__1_1,int1)
    & sort(fahrzeug__1_1,d)
    & varia(c3598,varia_c)
    & refer(c3598,det)
    & quant(c3598,one)
    & gener(c3598,sp)
    & fact(c3598,real)
    & etype(c3598,int0)
    & card(c3598,int1)
    & sort(c3598,o)
    & varia(c3898,varia_c)
    & refer(c3898,refer_c)
    & quant(c3898,quant_c)
    & gener(c3898,gener_c)
    & fact(c3898,real)
    & etype(c3898,etype_c)
    & card(c3898,card_c)
    & sort(c3898,ent)
    & varia(schub__1_1,varia_c)
    & refer(schub__1_1,refer_c)
    & quant(schub__1_1,one)
    & gener(schub__1_1,ge)
    & fact(schub__1_1,real)
    & etype(schub__1_1,int0)
    & card(schub__1_1,int1)
    & sort(schub__1_1,ad)
    & varia(c3613,varia_c)
    & refer(c3613,refer_c)
    & quant(c3613,one)
    & gener(c3613,gener_c)
    & fact(c3613,real)
    & etype(c3613,int0)
    & card(c3613,int1)
    & sort(c3613,ad)
    & sort(britisch__1_1,nq)
    & varia(c3609,con)
    & refer(c3609,det)
    & quant(c3609,one)
    & gener(c3609,sp)
    & fact(c3609,real)
    & etype(c3609,int0)
    & card(c3609,int1)
    & sort(c3609,io)
    & sort(c3609,d)
    & varia(fahrzeugkonzept_1_1,varia_c)
    & refer(fahrzeugkonzept_1_1,refer_c)
    & quant(fahrzeugkonzept_1_1,one)
    & gener(fahrzeugkonzept_1_1,ge)
    & fact(fahrzeugkonzept_1_1,real)
    & etype(fahrzeugkonzept_1_1,int0)
    & card(fahrzeugkonzept_1_1,int1)
    & sort(fahrzeugkonzept_1_1,io)
    & sort(fahrzeugkonzept_1_1,d)
    & varia(c3595,varia_c)
    & refer(c3595,indet)
    & quant(c3595,one)
    & gener(c3595,sp)
    & fact(c3595,real)
    & etype(c3595,int0)
    & card(c3595,int1)
    & sort(c3595,io)
    & sort(c3595,d)
    & varia(experte_1_1,varia_c)
    & refer(experte_1_1,refer_c)
    & quant(experte_1_1,one)
    & gener(experte_1_1,ge)
    & fact(experte_1_1,real)
    & etype(experte_1_1,int0)
    & card(experte_1_1,int1)
    & sort(experte_1_1,d)
    & varia(c3592,varia_c)
    & refer(c3592,indet)
    & quant(c3592,mult)
    & gener(c3592,gener_c)
    & fact(c3592,real)
    & etype(c3592,int1)
    & card(c3592,cons(x_constant,cons(int1,nil)))
    & sort(c3592,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(c3591,varia_c)
    & refer(c3591,indet)
    & quant(c3591,one)
    & gener(c3591,sp)
    & fact(c3591,real)
    & etype(c3591,int0)
    & card(c3591,int1)
    & sort(c3591,na)
    & varia(c3590,con)
    & refer(c3590,det)
    & quant(c3590,one)
    & gener(c3590,sp)
    & fact(c3590,real)
    & etype(c3590,int0)
    & card(c3590,int1)
    & sort(c3590,io)
    & sort(c3590,d)
    & sort(royce_0,fe)
    & varia(c3511,varia_c)
    & refer(c3511,indet)
    & quant(c3511,one)
    & gener(c3511,sp)
    & fact(c3511,real)
    & etype(c3511,int0)
    & card(c3511,int1)
    & sort(c3511,na)
    & varia(c3510,con)
    & refer(c3510,det)
    & quant(c3510,one)
    & gener(c3510,sp)
    & fact(c3510,real)
    & etype(c3510,int0)
    & card(c3510,int1)
    & sort(c3510,d)
    & varia(techniker__1_1,varia_c)
    & refer(techniker__1_1,refer_c)
    & quant(techniker__1_1,one)
    & gener(techniker__1_1,ge)
    & fact(techniker__1_1,real)
    & etype(techniker__1_1,int0)
    & card(techniker__1_1,int1)
    & sort(techniker__1_1,d)
    & varia(c3508,varia_c)
    & refer(c3508,indet)
    & quant(c3508,mult)
    & gener(c3508,gener_c)
    & fact(c3508,real)
    & etype(c3508,int1)
    & card(c3508,cons(x_constant,cons(int1,nil)))
    & sort(c3508,d)
    & sort(roll_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(c3506,varia_c)
    & refer(c3506,indet)
    & quant(c3506,one)
    & gener(c3506,sp)
    & fact(c3506,real)
    & etype(c3506,int0)
    & card(c3506,int1)
    & sort(c3506,na)
    & varia(c3505,con)
    & refer(c3505,det)
    & quant(c3505,one)
    & gener(c3505,sp)
    & fact(c3505,real)
    & etype(c3505,int0)
    & card(c3505,int1)
    & sort(c3505,d)
    & sub(fahrzeugkonzept_1_1,konzept__1_1)
    & assoc(fahrzeugkonzept_1_1,fahrzeug__1_1)
    & tupl_p10(c3898,c3505,c3510,c3508,c3590,c3592,c3595,c3598,c3609,c3613)
    & subs(c3613,schub__1_1)
    & sub(c3609,firma_1_1)
    & prop(c3609,britisch__1_1)
    & sub(c3595,fahrzeugkonzept_1_1)
    & pred(c3592,experte_1_1)
    & val(c3591,bmw_0)
    & sub(c3591,name_1_1)
    & sub(c3590,firma_1_1)
    & attr(c3590,c3591)
    & val(c3511,royce_0)
    & sub(c3511,familiename_1_1)
    & sub(c3510,mensch_1_1)
    & attr(c3510,c3511)
    & pred(c3508,techniker__1_1)
    & val(c3506,roll_0)
    & sub(c3506,familiename_1_1)
    & sub(c3505,mensch_1_1)
    & attr(c3505,c3506) ),
    file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1086) ).

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_news_1086,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_news_1086) ).

fof(synth_qa07_007_mira_news_1086_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_news_1086]) ).

fof(nnf_62,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_62]) ).

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_121,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_154,plain,
    member(A,cons(A,B)),
    inference(clausify,[status(thm)],[member_first]) ).

cnf(c_155,plain,
    ( member(A,cons(C,B))
    | ~ member(A,B) ),
    inference(clausify,[status(thm)],[member_second]) ).

cnf(c_248,plain,
    attr(c3590,c3591),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1086]) ).

cnf(c_249,plain,
    sub(c3590,firma_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1086]) ).

cnf(c_250,plain,
    sub(c3591,name_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1086]) ).

cnf(c_251,plain,
    val(c3591,bmw_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1086]) ).

cnf(c_454,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_news_1086_neg]) ).

cnf(c_455,plain,
    member(A,cons(B,cons(A,C))),
    inference(resolve,[status(thm)],[c_155,c_154]) ).

cnf(c_464,plain,
    ( ~ sub(V6,V7)
    | ~ member(V7,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(A,V6)
    | ~ val(D,bmw_0)
    | ~ val(B,bmw_0)
    | ~ sub(D,name_1_1)
    | ~ sub(A,firma_1_1)
    | ~ sub(B,name_1_1)
    | ~ attr(E,F)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_454,c_121]) ).

cnf(c_2569,plain,
    member(A,cons(B,cons(C,cons(A,D)))),
    inference(resolve,[status(thm)],[c_155,c_455]) ).

cnf(c_2643,plain,
    ( ~ sub(E,F)
    | ~ member(F,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(c3590,E)
    | ~ val(B,bmw_0)
    | ~ val(c3591,bmw_0)
    | ~ sub(B,name_1_1)
    | ~ sub(c3590,firma_1_1)
    | ~ sub(c3591,name_1_1)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_464,c_248]) ).

cnf(c_2644,plain,
    ( ~ sub(C,D)
    | ~ member(D,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(c3590,C)
    | ~ val(c3591,bmw_0)
    | ~ val(c3591,bmw_0)
    | ~ sub(c3591,name_1_1)
    | ~ sub(c3590,firma_1_1)
    | ~ sub(c3591,name_1_1)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_2643,c_248]) ).

cnf(c_2645,plain,
    ( ~ sub(A,B)
    | ~ member(B,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(c3590,A)
    | ~ val(c3591,bmw_0)
    | ~ val(c3591,bmw_0)
    | ~ sub(c3591,name_1_1)
    | ~ sub(c3590,firma_1_1)
    | ~ sub(c3591,name_1_1) ),
    inference(resolve,[status(thm)],[c_2644,c_248]) ).

cnf(c_2646,plain,
    ( ~ sub(A,B)
    | ~ member(B,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(c3590,A)
    | ~ val(c3591,bmw_0)
    | ~ val(c3591,bmw_0)
    | ~ sub(c3591,name_1_1)
    | ~ sub(c3590,firma_1_1) ),
    inference(resolve,[status(thm)],[c_2645,c_250]) ).

cnf(c_2647,plain,
    ( ~ sub(A,B)
    | ~ member(B,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(c3590,A)
    | ~ val(c3591,bmw_0)
    | ~ val(c3591,bmw_0)
    | ~ sub(c3591,name_1_1) ),
    inference(resolve,[status(thm)],[c_2646,c_249]) ).

cnf(c_2648,plain,
    ( ~ sub(A,B)
    | ~ member(B,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(c3590,A)
    | ~ val(c3591,bmw_0)
    | ~ val(c3591,bmw_0) ),
    inference(resolve,[status(thm)],[c_2647,c_250]) ).

cnf(c_2649,plain,
    ( ~ sub(A,B)
    | ~ member(B,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(c3590,A)
    | ~ val(c3591,bmw_0) ),
    inference(resolve,[status(thm)],[c_2648,c_251]) ).

cnf(c_2650,plain,
    ( ~ sub(A,B)
    | ~ member(B,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(c3590,A) ),
    inference(resolve,[status(thm)],[c_2649,c_251]) ).

cnf(c_2651,plain,
    ( ~ sub(c3591,A)
    | ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolve,[status(thm)],[c_2650,c_248]) ).

cnf(c_2652,plain,
    ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
    inference(resolve,[status(thm)],[c_2651,c_250]) ).

cnf(c_2642,plain,
    $false,
    inference(resolve,[status(thm)],[c_2569,c_2652]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39  % Computer : n013.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sun Sep 27 01:08:36 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.40  % Process 3926819 was started by sandbox2 on n013,
% 0.13/0.40  % Sun Sep 27 01:08:36 2026
% 0.13/0.40  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 2.50/0.83  
% 2.50/0.83  % SInE (scan): 74 to sos (tol 1.5x), 26 to usable (tol 2.0x), 10088 zapped, of 10188 axioms (depth 3).
% 2.50/0.83  
% 2.50/0.83  % From the command line: assign(max_seconds, 300).
% 2.50/0.83  
% 2.50/0.83  % SZS status Theorem for theBenchmark
% 2.50/0.83  
% 2.50/0.83  % Proof 1 at 0.31 (+ 0.05) seconds.
% 2.50/0.83  % Length of proof is 17.
% 2.50/0.83  % Level of proof is 4.
% 2.50/0.83  % Maximum clause weight is 69.000.
% 2.50/0.83  % Given clauses 445.
% 2.50/0.83  
% 2.50/0.83  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------