↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR115+49 : 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 : n018.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 07:07:44 AM UTC 2026

% Result   : Theorem 0.33s 0.86s
% Output   : CNFRefutation 0.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   27 (  10 unt;   0 def)
%            Number of atoms       :  275 (   0 equ)
%            Maximal formula atoms :  180 (  10 avg)
%            Number of connectives :  306 (  58   ~;  47   |; 200   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  180 (  12 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   18 (  17 usr;   1 prp; 0-5 aty)
%            Number of functors    :   47 (  47 usr;  46 con; 0-3 aty)
%            Number of variables   :   65 (  19 sgn  15   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(chea_subs_abs__event,axiom,
    ! [X0,X1,X2] :
      ( ( subs(X0,X1)
        & chea(X2,X1) )
     => ? [X3] :
          ( subs(X3,X2)
          & chea(X3,X0) ) ),
    file('theBenchmark.p',chea_subs_abs__event) ).

fof(ave07_era5_synth_qa07_007_mira_news_1294,axiom,
    ( sort(m__374nchen_0,fe)
    & 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(c87,varia_c)
    & refer(c87,indet)
    & quant(c87,one)
    & gener(c87,sp)
    & fact(c87,real)
    & etype(c87,int0)
    & card(c87,int1)
    & sort(c87,na)
    & sort(bmw_0,fe)
    & 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(c74,varia_c)
    & refer(c74,indet)
    & quant(c74,one)
    & gener(c74,sp)
    & fact(c74,real)
    & etype(c74,int0)
    & card(c74,int1)
    & sort(c74,na)
    & sort(rover_0,fe)
    & sort(britisch__1_1,nq)
    & varia(c56,varia_c)
    & refer(c56,indet)
    & quant(c56,one)
    & gener(c56,sp)
    & fact(c56,real)
    & etype(c56,int0)
    & card(c56,int1)
    & sort(c56,na)
    & varia(annahme_1_1,varia_c)
    & refer(annahme_1_1,refer_c)
    & quant(annahme_1_1,one)
    & gener(annahme_1_1,ge)
    & fact(annahme_1_1,real)
    & etype(annahme_1_1,int0)
    & card(annahme_1_1,int1)
    & sort(annahme_1_1,ad)
    & varia(c55,con)
    & refer(c55,det)
    & quant(c55,one)
    & gener(c55,sp)
    & fact(c55,real)
    & etype(c55,int0)
    & card(c55,int1)
    & sort(c55,io)
    & sort(c55,d)
    & sort(eu_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(kommission_1_1,varia_c)
    & refer(kommission_1_1,refer_c)
    & quant(kommission_1_1,quant_c)
    & gener(kommission_1_1,ge)
    & fact(kommission_1_1,real)
    & etype(kommission_1_1,int1)
    & card(kommission_1_1,card_c)
    & sort(kommission_1_1,io)
    & sort(kommission_1_1,d)
    & varia(c19,varia_c)
    & refer(c19,det)
    & quant(c19,one)
    & gener(c19,sp)
    & fact(c19,real)
    & etype(c19,int0)
    & card(c19,int1)
    & sort(c19,na)
    & varia(c86,con)
    & refer(c86,det)
    & quant(c86,one)
    & gener(c86,sp)
    & fact(c86,real)
    & etype(c86,int0)
    & card(c86,int1)
    & sort(c86,io)
    & sort(c86,d)
    & varia(c73,con)
    & refer(c73,det)
    & quant(c73,one)
    & gener(c73,sp)
    & fact(c73,real)
    & etype(c73,int0)
    & card(c73,int1)
    & sort(c73,io)
    & sort(c73,d)
    & varia(c25,con)
    & refer(c25,det)
    & quant(c25,one)
    & gener(c25,sp)
    & fact(c25,real)
    & etype(c25,int0)
    & card(c25,int1)
    & sort(c25,ad)
    & varia(c18,varia_c)
    & refer(c18,det)
    & quant(c18,one)
    & gener(c18,sp)
    & fact(c18,real)
    & etype(c18,int1)
    & card(c18,int1)
    & sort(c18,io)
    & sort(c18,d)
    & varia(c171,varia_c)
    & refer(c171,refer_c)
    & quant(c171,quant_c)
    & gener(c171,gener_c)
    & fact(c171,real)
    & etype(c171,etype_c)
    & card(c171,card_c)
    & sort(c171,ent)
    & varia(fabrikant_1_1,varia_c)
    & refer(fabrikant_1_1,refer_c)
    & quant(fabrikant_1_1,one)
    & gener(fabrikant_1_1,ge)
    & fact(fabrikant_1_1,real)
    & etype(fabrikant_1_1,int0)
    & card(fabrikant_1_1,int1)
    & sort(fabrikant_1_1,io)
    & sort(fabrikant_1_1,d)
    & varia(auto__1_1,varia_c)
    & refer(auto__1_1,refer_c)
    & quant(auto__1_1,one)
    & gener(auto__1_1,ge)
    & fact(auto__1_1,real)
    & etype(auto__1_1,int0)
    & card(auto__1_1,int1)
    & sort(auto__1_1,d)
    & varia(autobauer_1_1,varia_c)
    & refer(autobauer_1_1,refer_c)
    & quant(autobauer_1_1,one)
    & gener(autobauer_1_1,ge)
    & fact(autobauer_1_1,real)
    & etype(autobauer_1_1,int0)
    & card(autobauer_1_1,int1)
    & sort(autobauer_1_1,io)
    & sort(autobauer_1_1,d)
    & val(c87,m__374nchen_0)
    & sub(c87,name_1_1)
    & sub(c86,stadt__1_1)
    & attr(c86,c87)
    & val(c74,bmw_0)
    & sub(c74,name_1_1)
    & sub(c73,firma_1_1)
    & attr(c73,c74)
    & val(c56,rover_0)
    & sub(c56,name_1_1)
    & sub(c55,autobauer_1_1)
    & prop(c55,britisch__1_1)
    & attr(c55,c56)
    & subs(c25,annahme_1_1)
    & obj(c25,c55)
    & val(c19,eu_0)
    & sub(c19,name_1_1)
    & sub(c18,kommission_1_1)
    & attr(c18,c19)
    & tupl_p5(c171,c18,c25,c73,c86)
    & sub(autobauer_1_1,fabrikant_1_1)
    & assoc(autobauer_1_1,auto__1_1) ),
    file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1294) ).

fof(synth_qa07_007_mira_news_1294,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( val(X2,bmw_0)
      & val(X1,bmw_0)
      & subs(X4,n374bernehmen_1_1)
      & sub(X2,name_1_1)
      & sub(X0,firma_1_1)
      & sub(X1,name_1_1)
      & attr(X5,X6)
      & attr(X3,X2)
      & attr(X0,X1) ),
    file('theBenchmark.p',synth_qa07_007_mira_news_1294) ).

fof(synth_qa07_007_mira_news_1294_neg,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6] :
        ( val(X2,bmw_0)
        & val(X1,bmw_0)
        & subs(X4,n374bernehmen_1_1)
        & sub(X2,name_1_1)
        & sub(X0,firma_1_1)
        & sub(X1,name_1_1)
        & attr(X5,X6)
        & attr(X3,X2)
        & attr(X0,X1) ),
    inference(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1294]) ).

fof(nnf_23,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subs(X3,X2)
          & chea(X3,X0) )
      | ~ subs(X0,X1)
      | ~ chea(X2,X1) ),
    inference(fof_nnf,[status(thm)],[chea_subs_abs__event]) ).

fof(sk_chea_subs_abs__event_sk,plain,
    ! [X0,X1,X2] :
      ( ( subs(sK0(X0,X1,X2),X2)
        & chea(sK0(X0,X1,X2),X0) )
      | ~ subs(X0,X1)
      | ~ chea(X2,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[nnf_23]) ).

fof(sk_chea_subs_abs__event,plain,
    ( ! [VAR_0,VAR_1,VAR_2] :
        ( subs(sK0(VAR_2,VAR_1,VAR_0),VAR_0)
        | ~ subs(VAR_2,VAR_1)
        | ~ chea(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1,VAR_2] :
        ( chea(sK0(VAR_2,VAR_1,VAR_0),VAR_2)
        | ~ subs(VAR_2,VAR_1)
        | ~ chea(VAR_0,VAR_1) ) ),
    inference(cnf_transformation,[status(thm)],[sk_chea_subs_abs__event_sk]) ).

cnf(c_143,plain,
    ( subs(sK0(C,B,A),A)
    | ~ subs(C,B)
    | ~ chea(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_chea_subs_abs__event]) ).

fof(fact_8354,axiom,
    chea(n374bernehmen_1_1,annahme_1_1),
    file('theBenchmark.p',fact_8354) ).

cnf(c_165,plain,
    chea(n374bernehmen_1_1,annahme_1_1),
    inference(clausify,[status(thm)],[fact_8354]) ).

cnf(c_180,plain,
    subs(c25,annahme_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1294]) ).

cnf(c_186,plain,
    attr(c73,c74),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1294]) ).

cnf(c_187,plain,
    sub(c73,firma_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1294]) ).

cnf(c_188,plain,
    sub(c74,name_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1294]) ).

cnf(c_189,plain,
    val(c74,bmw_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1294]) ).

cnf(c_352,negated_conjecture,
    ( ~ val(D,bmw_0)
    | ~ val(B,bmw_0)
    | ~ subs(V6,n374bernehmen_1_1)
    | ~ 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(clausify,[status(thm)],[synth_qa07_007_mira_news_1294_neg]) ).

cnf(c_1010,plain,
    ( ~ val(B,bmw_0)
    | ~ val(B,bmw_0)
    | ~ subs(E,n374bernehmen_1_1)
    | ~ sub(B,name_1_1)
    | ~ sub(A,firma_1_1)
    | ~ sub(B,name_1_1)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(factor,[status(thm)],[c_352]) ).

cnf(c_1011,plain,
    ( ~ val(B,bmw_0)
    | ~ val(B,bmw_0)
    | ~ subs(E,n374bernehmen_1_1)
    | ~ sub(A,firma_1_1)
    | ~ sub(B,name_1_1)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(copy,[status(thm)],[c_1010]) ).

cnf(c_353,plain,
    ( ~ val(B,bmw_0)
    | ~ subs(E,n374bernehmen_1_1)
    | ~ sub(A,firma_1_1)
    | ~ sub(B,name_1_1)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(copy,[status(thm)],[c_1011]) ).

cnf(c_354,plain,
    ( ~ val(B,bmw_0)
    | ~ subs(C,n374bernehmen_1_1)
    | ~ sub(A,firma_1_1)
    | ~ sub(B,name_1_1)
    | ~ attr(A,B) ),
    inference(factor,[status(thm)],[c_353]) ).

cnf(c_1012,plain,
    ( ~ val(c74,bmw_0)
    | ~ subs(A,n374bernehmen_1_1)
    | ~ sub(c73,firma_1_1)
    | ~ sub(c74,name_1_1) ),
    inference(resolve,[status(thm)],[c_186,c_354]) ).

cnf(c_1013,plain,
    ( ~ val(c74,bmw_0)
    | ~ subs(A,n374bernehmen_1_1)
    | ~ sub(c73,firma_1_1) ),
    inference(resolve,[status(thm)],[c_188,c_1012]) ).

cnf(c_1014,plain,
    ( ~ val(c74,bmw_0)
    | ~ subs(A,n374bernehmen_1_1) ),
    inference(resolve,[status(thm)],[c_187,c_1013]) ).

cnf(c_885,plain,
    ~ subs(A,n374bernehmen_1_1),
    inference(resolve,[status(thm)],[c_189,c_1014]) ).

cnf(c_1015,plain,
    ( subs(sK0(A,annahme_1_1,n374bernehmen_1_1),n374bernehmen_1_1)
    | ~ subs(A,annahme_1_1) ),
    inference(resolve,[status(thm)],[c_143,c_165]) ).

cnf(c_1008,plain,
    ~ subs(A,annahme_1_1),
    inference(resolve,[status(thm)],[c_885,c_1015]) ).

cnf(c_1009,plain,
    $false,
    inference(resolve,[status(thm)],[c_1008,c_180]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR115+49 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  % Computer : n018.cluster.edu
% 0.19/0.45  % Model    : x86_64 x86_64
% 0.19/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45  % Memory   : 8046.5625MB
% 0.19/0.45  % OS       : Linux 6.8.0-71-generic
% 0.19/0.45  % CPULimit : 300
% 0.19/0.45  % WCLimit  : 300
% 0.19/0.45  % DateTime : Sun Sep 27 01:11:23 UTC 2026
% 0.19/0.46  % CPUTime  : 
% 0.19/0.46  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.46  % Process 1817879 was started by sandbox2 on n018,
% 0.19/0.46  % Sun Sep 27 01:11:23 2026
% 0.19/0.46  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.33/0.86  
% 0.33/0.86  % SInE (scan): 67 to sos (tol 1.5x), 19 to usable (tol 2.0x), 10102 zapped, of 10188 axioms (depth 3).
% 0.33/0.86  
% 0.33/0.86  % From the command line: assign(max_seconds, 300).
% 0.33/0.86  
% 0.33/0.86  % SZS status Theorem for theBenchmark
% 0.33/0.86  
% 0.33/0.86  % Proof 1 at 0.20 (+ 0.06) seconds.
% 0.33/0.86  % Length of proof is 16.
% 0.33/0.86  % Level of proof is 6.
% 0.33/0.86  % Maximum clause weight is 32.000.
% 0.33/0.86  % Given clauses 133.
% 0.33/0.86  
% 0.33/0.86  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------