↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR115+58 : 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 : n004.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 07:07:45 AM UTC 2026

% Result   : Theorem 1.07s 0.69s
% Output   : CNFRefutation 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   8 unt;   0 def)
%            Number of atoms       :  281 (   0 equ)
%            Maximal formula atoms :  218 (  12 avg)
%            Number of connectives :  292 (  33   ~;  26   |; 232   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  218 (  14 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   18 (  17 usr;   1 prp; 0-7 aty)
%            Number of functors    :   52 (  52 usr;  51 con; 0-3 aty)
%            Number of variables   :   57 (  18 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_1318,axiom,
    ( varia(c2161,varia_c)
    & refer(c2161,refer_c)
    & quant(c2161,quant_c)
    & gener(c2161,gener_c)
    & fact(c2161,real)
    & etype(c2161,etype_c)
    & card(c2161,card_c)
    & sort(c2161,ent)
    & varia(get__366se_1_1,varia_c)
    & refer(get__366se_1_1,refer_c)
    & quant(get__366se_1_1,one)
    & gener(get__366se_1_1,ge)
    & fact(get__366se_1_1,real)
    & etype(get__366se_1_1,int0)
    & card(get__366se_1_1,int1)
    & sort(get__366se_1_1,d)
    & sort(kr__344ftig_1_1,nq)
    & varia(c157,varia_c)
    & refer(c157,refer_c)
    & quant(c157,one)
    & gener(c157,gener_c)
    & fact(c157,real)
    & etype(c157,int0)
    & card(c157,int1)
    & sort(c157,d)
    & sort(frankfurter_1_1,gq)
    & varia(c145,con)
    & refer(c145,det)
    & quant(c145,one)
    & gener(c145,sp)
    & fact(c145,real)
    & etype(c145,int0)
    & card(c145,int1)
    & sort(c145,d)
    & varia(firmengruppe_1_1,varia_c)
    & refer(firmengruppe_1_1,refer_c)
    & quant(firmengruppe_1_1,one)
    & gener(firmengruppe_1_1,ge)
    & fact(firmengruppe_1_1,real)
    & etype(firmengruppe_1_1,int0)
    & card(firmengruppe_1_1,int1)
    & sort(firmengruppe_1_1,io)
    & sort(firmengruppe_1_1,d)
    & varia(c134,varia_c)
    & refer(c134,refer_c)
    & quant(c134,one)
    & gener(c134,gener_c)
    & fact(c134,real)
    & etype(c134,int0)
    & card(c134,int1)
    & sort(c134,io)
    & sort(c134,d)
    & varia(bmw_1_1,varia_c)
    & refer(bmw_1_1,refer_c)
    & quant(bmw_1_1,one)
    & gener(bmw_1_1,ge)
    & fact(bmw_1_1,real)
    & etype(bmw_1_1,int0)
    & card(bmw_1_1,int1)
    & sort(bmw_1_1,d)
    & sort(bairisch_1_1,nq)
    & varia(c130,con)
    & refer(c130,det)
    & quant(c130,one)
    & gener(c130,sp)
    & fact(c130,real)
    & etype(c130,int0)
    & card(c130,int1)
    & sort(c130,d)
    & varia(rover_1_1,varia_c)
    & refer(rover_1_1,refer_c)
    & quant(rover_1_1,one)
    & gener(rover_1_1,ge)
    & fact(rover_1_1,real)
    & etype(rover_1_1,int0)
    & card(rover_1_1,int1)
    & sort(rover_1_1,d)
    & varia(c122,varia_c)
    & refer(c122,refer_c)
    & quant(c122,one)
    & gener(c122,gener_c)
    & fact(c122,real)
    & etype(c122,int0)
    & card(c122,int1)
    & sort(c122,d)
    & sort(britisch__1_1,nq)
    & 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(c117,con)
    & refer(c117,det)
    & quant(c117,one)
    & gener(c117,sp)
    & fact(c117,real)
    & etype(c117,int0)
    & card(c117,int1)
    & sort(c117,d)
    & varia(c113,con)
    & refer(c113,det)
    & quant(c113,one)
    & gener(c113,sp)
    & fact(c113,real)
    & etype(c113,int0)
    & card(c113,int1)
    & sort(c113,ad)
    & sort(frankfurt_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(c104,varia_c)
    & refer(c104,det)
    & quant(c104,one)
    & gener(c104,sp)
    & fact(c104,real)
    & etype(c104,int0)
    & card(c104,int1)
    & sort(c104,na)
    & varia(c103,varia_c)
    & refer(c103,det)
    & quant(c103,one)
    & gener(c103,sp)
    & fact(c103,real)
    & etype(c103,int0)
    & card(c103,int1)
    & sort(c103,io)
    & sort(c103,d)
    & varia(parkett_1_1,varia_c)
    & refer(parkett_1_1,refer_c)
    & quant(parkett_1_1,one)
    & gener(parkett_1_1,ge)
    & fact(parkett_1_1,real)
    & etype(parkett_1_1,int0)
    & card(parkett_1_1,int1)
    & sort(parkett_1_1,d)
    & varia(b__366rse_1_1,varia_c)
    & refer(b__366rse_1_1,refer_c)
    & quant(b__366rse_1_1,one)
    & gener(b__366rse_1_1,ge)
    & fact(b__366rse_1_1,real)
    & etype(b__366rse_1_1,int0)
    & card(b__366rse_1_1,int1)
    & sort(b__366rse_1_1,io)
    & sort(b__366rse_1_1,d)
    & varia(b__366rsenparkett_1_1,varia_c)
    & refer(b__366rsenparkett_1_1,refer_c)
    & quant(b__366rsenparkett_1_1,one)
    & gener(b__366rsenparkett_1_1,ge)
    & fact(b__366rsenparkett_1_1,real)
    & etype(b__366rsenparkett_1_1,int0)
    & card(b__366rsenparkett_1_1,int1)
    & sort(b__366rsenparkett_1_1,d)
    & 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)
    & assoc(frankfurter_1_1,c103)
    & tupl_p7(c2161,c113,c122,c130,c134,c145,c157)
    & sub(c157,get__366se_1_1)
    & prop(c157,kr__344ftig_1_1)
    & sub(c145,b__366rsenparkett_1_1)
    & prop(c145,frankfurter_1_1)
    & sub(c134,firmengruppe_1_1)
    & sub(c130,bmw_1_1)
    & prop(c130,bairisch_1_1)
    & sub(c122,rover_1_1)
    & sub(c117,autobauer_1_1)
    & prop(c117,britisch__1_1)
    & subs(c113,annahme_1_1)
    & obj(c113,c117)
    & val(c104,frankfurt_0)
    & sub(c104,name_1_1)
    & sub(c103,stadt__1_1)
    & attr(c103,c104)
    & sub(b__366rsenparkett_1_1,parkett_1_1)
    & assoc(b__366rsenparkett_1_1,b__366rse_1_1)
    & sub(autobauer_1_1,fabrikant_1_1)
    & assoc(autobauer_1_1,auto__1_1) ),
    file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1318) ).

fof(synth_qa07_007_mira_news_1318,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( subs(X4,n374bernehmen_1_1)
      & sub(X2,name_1_1)
      & sub(X1,name_1_1)
      & attr(X5,X6)
      & attr(X3,X2)
      & attr(X0,X1) ),
    file('theBenchmark.p',synth_qa07_007_mira_news_1318) ).

fof(synth_qa07_007_mira_news_1318_neg,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6] :
        ( subs(X4,n374bernehmen_1_1)
        & sub(X2,name_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_1318]) ).

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_142,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_163,plain,
    chea(n374bernehmen_1_1,annahme_1_1),
    inference(clausify,[status(thm)],[fact_8354]) ).

cnf(c_170,plain,
    attr(c103,c104),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1318]) ).

cnf(c_172,plain,
    sub(c104,name_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1318]) ).

cnf(c_175,plain,
    subs(c113,annahme_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1318]) ).

cnf(c_384,negated_conjecture,
    ( ~ subs(V6,n374bernehmen_1_1)
    | ~ sub(D,name_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_1318_neg]) ).

cnf(c_863,negated_conjecture,
    ( ~ subs(E,n374bernehmen_1_1)
    | ~ sub(c104,name_1_1)
    | ~ sub(B,name_1_1)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_170,c_384]) ).

cnf(c_526,negated_conjecture,
    ( ~ subs(E,n374bernehmen_1_1)
    | ~ sub(B,name_1_1)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_172,c_863]) ).

cnf(c_864,plain,
    ( ~ subs(C,n374bernehmen_1_1)
    | ~ sub(c104,name_1_1)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_526,c_170]) ).

cnf(c_865,plain,
    ( ~ subs(A,n374bernehmen_1_1)
    | ~ sub(c104,name_1_1) ),
    inference(resolve,[status(thm)],[c_864,c_170]) ).

cnf(c_534,plain,
    ~ subs(A,n374bernehmen_1_1),
    inference(resolve,[status(thm)],[c_865,c_172]) ).

cnf(c_866,plain,
    ( subs(sK0(A,annahme_1_1,n374bernehmen_1_1),n374bernehmen_1_1)
    | ~ subs(A,annahme_1_1) ),
    inference(resolve,[status(thm)],[c_142,c_163]) ).

cnf(c_867,plain,
    subs(sK0(c113,annahme_1_1,n374bernehmen_1_1),n374bernehmen_1_1),
    inference(resolve,[status(thm)],[c_866,c_175]) ).

cnf(c_862,plain,
    $false,
    inference(resolve,[status(thm)],[c_534,c_867]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR115+58 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43  % Computer : n004.cluster.edu
% 0.17/0.43  % Model    : x86_64 x86_64
% 0.17/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43  % Memory   : 8046.5625MB
% 0.17/0.43  % OS       : Linux 6.8.0-71-generic
% 0.17/0.43  % CPULimit : 300
% 0.17/0.43  % WCLimit  : 300
% 0.17/0.43  % DateTime : Sun Sep 27 01:10:06 UTC 2026
% 0.17/0.43  % CPUTime  : 
% 0.17/0.43  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43  % Process 3006138 was started by sandbox on n004,
% 0.17/0.43  % Sun Sep 27 01:10:06 2026
% 0.17/0.43  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.07/0.69  
% 1.07/0.69  % SInE (scan): 60 to sos (tol 1.5x), 20 to usable (tol 2.0x), 10108 zapped, of 10188 axioms (depth 3).
% 1.07/0.69  
% 1.07/0.69  % From the command line: assign(max_seconds, 300).
% 1.07/0.69  
% 1.07/0.69  % SZS status Theorem for theBenchmark
% 1.07/0.69  
% 1.07/0.69  % Proof 1 at 0.08 (+ 0.04) seconds.
% 1.07/0.69  % Length of proof is 12.
% 1.07/0.69  % Level of proof is 4.
% 1.07/0.69  % Maximum clause weight is 23.000.
% 1.07/0.69  % Given clauses 181.
% 1.07/0.69  
% 1.07/0.69  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------