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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR115+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /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 : Thu Sep 24 08:37:01 AM UTC 2026

% Result   : Theorem 13.53s 18.80s
% Output   : Proof 13.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   39 (  18 unt;   0 def)
%            Number of atoms       :  221 (   0 equ)
%            Maximal formula atoms :   45 (   5 avg)
%            Number of connectives :  221 (  39   ~;  33   |; 147   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   45 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-4 aty)
%            Number of functors    :   36 (  36 usr;  32 con; 0-3 aty)
%            Number of variables   :   68 (   2 sgn  35   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(sub__bezeichnen_1_1_als,axiom,
    ! [X0,X1,X2] :
      ( ( subr(X0,sub_0)
        & arg2(X0,X2)
        & arg1(X0,X1) )
     => ? [X3,X4,X5] :
          ( subs(X3,bezeichnen_1_1)
          & subr(X4,rprs_0)
          & sub(X5,X2)
          & obj(X3,X1)
          & mcont(X3,X4)
          & hsit(X0,X3)
          & arg2(X4,X5)
          & arg1(X4,X1) ) ),
    file('CSR004+0.ax',sub__bezeichnen_1_1_als) ).

fof(sub__sub_0_expansion,axiom,
    ! [X0,X1] :
      ( sub(X0,X1)
     => ? [X2] :
          ( subr(X2,sub_0)
          & arg2(X2,X1)
          & arg1(X2,X0) ) ),
    file('CSR004+0.ax',sub__sub_0_expansion) ).

fof(synth_qa07_007_mira_news_1087,conjecture,
    ? [X0,X1] : obj(X1,X0),
    file('theBenchmark.p',synth_qa07_007_mira_news_1087) ).

fof(ave07_era5_synth_qa07_007_mira_news_1087,hypothesis,
    ( varia(c2590,varia_c)
    & refer(c2590,refer_c)
    & quant(c2590,quant_c)
    & gener(c2590,gener_c)
    & fact(c2590,real)
    & etype(c2590,etype_c)
    & card(c2590,card_c)
    & sort(c2590,ent)
    & gener(million_1_1,ge)
    & sort(million_1_1,me)
    & card(c2406,int12)
    & sort(c2406,nu)
    & varia(c2409,con)
    & refer(c2409,refer_c)
    & quant(c2409,quant_c)
    & gener(c2409,gener_c)
    & fact(c2409,real)
    & etype(c2409,etype_c)
    & card(c2409,card_c)
    & sort(c2409,m)
    & sort(c2409,co)
    & varia(beitrag_1_1,varia_c)
    & refer(beitrag_1_1,refer_c)
    & quant(beitrag_1_1,one)
    & gener(beitrag_1_1,ge)
    & fact(beitrag_1_1,real)
    & etype(beitrag_1_1,int0)
    & card(beitrag_1_1,int1)
    & sort(beitrag_1_1,io)
    & varia(c2403,varia_c)
    & refer(c2403,indet)
    & quant(c2403,one)
    & gener(c2403,sp)
    & fact(c2403,real)
    & etype(c2403,int0)
    & card(c2403,int1)
    & sort(c2403,io)
    & gener(mark_1_1,ge)
    & sort(mark_1_1,me)
    & fact(c2383,real)
    & sort(c2383,me)
    & tupl_p4(c2590,c2383,c2403,c2409)
    & quant_p3(c2409,c2406,million_1_1)
    & sub(c2403,beitrag_1_1)
    & sub(c2383,mark_1_1) ),
    file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1087) ).

fof(f_162_1,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( subs(X3,bezeichnen_1_1)
          & subr(X4,rprs_0)
          & sub(X5,X2)
          & obj(X3,X1)
          & mcont(X3,X4)
          & hsit(X0,X3)
          & arg2(X4,X5)
          & arg1(X4,X1) )
      | ~ subr(X0,sub_0)
      | ~ arg2(X0,X2)
      | ~ arg1(X0,X1) ),
    inference(fof_nnf,[status(thm)],[sub__bezeichnen_1_1_als]) ).

fof(f_162_2,plain,
    ! [U_398,U_397,U_396] :
      ( ? [U_395,U_394,U_393] :
          ( subs(U_395,bezeichnen_1_1)
          & subr(U_394,rprs_0)
          & sub(U_393,U_396)
          & obj(U_395,U_397)
          & mcont(U_395,U_394)
          & hsit(U_398,U_395)
          & arg2(U_394,U_393)
          & arg1(U_394,U_397) )
      | ~ subr(U_398,sub_0)
      | ~ arg2(U_398,U_396)
      | ~ arg1(U_398,U_397) ),
    inference(variable_rename,[status(thm)],[f_162_1]) ).

fof(f_162_3,plain,
    ! [U_398,U_397,U_396] :
      ( ? [U_395] :
          ( ? [U_394] :
              ( ? [U_393] :
                  ( sub(U_393,U_396)
                  & arg2(U_394,U_393) )
              & subr(U_394,rprs_0)
              & mcont(U_395,U_394)
              & arg1(U_394,U_397) )
          & subs(U_395,bezeichnen_1_1)
          & obj(U_395,U_397)
          & hsit(U_398,U_395) )
      | ~ subr(U_398,sub_0)
      | ~ arg2(U_398,U_396)
      | ~ arg1(U_398,U_397) ),
    inference(miniscope,[status(thm)],[f_162_2]) ).

fof(f_162_4,plain,
    ! [U_398,U_397,U_396] :
      ( ( ? [U_394] :
            ( ? [U_393] :
                ( sub(U_393,U_396)
                & arg2(U_394,U_393) )
            & subr(U_394,rprs_0)
            & mcont(sK55(U_398,U_397,U_396),U_394)
            & arg1(U_394,U_397) )
        & subs(sK55(U_398,U_397,U_396),bezeichnen_1_1)
        & obj(sK55(U_398,U_397,U_396),U_397)
        & hsit(U_398,sK55(U_398,U_397,U_396)) )
      | ~ subr(U_398,sub_0)
      | ~ arg2(U_398,U_396)
      | ~ arg1(U_398,U_397) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(U_395,sK55(U_398,U_397,U_396))],[f_162_3]) ).

fof(f_162_5,plain,
    ! [U_398,U_397,U_396] :
      ( ( ? [U_393] :
            ( sub(U_393,U_396)
            & arg2(sK56(U_398,U_397,U_396),U_393) )
        & subr(sK56(U_398,U_397,U_396),rprs_0)
        & mcont(sK55(U_398,U_397,U_396),sK56(U_398,U_397,U_396))
        & arg1(sK56(U_398,U_397,U_396),U_397)
        & subs(sK55(U_398,U_397,U_396),bezeichnen_1_1)
        & obj(sK55(U_398,U_397,U_396),U_397)
        & hsit(U_398,sK55(U_398,U_397,U_396)) )
      | ~ subr(U_398,sub_0)
      | ~ arg2(U_398,U_396)
      | ~ arg1(U_398,U_397) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(U_394,sK56(U_398,U_397,U_396))],[f_162_4]) ).

fof(f_162_6,plain,
    ! [U_398,U_397,U_396] :
      ( ( sub(sK57(U_398,U_397,U_396),U_396)
        & arg2(sK56(U_398,U_397,U_396),sK57(U_398,U_397,U_396))
        & subr(sK56(U_398,U_397,U_396),rprs_0)
        & mcont(sK55(U_398,U_397,U_396),sK56(U_398,U_397,U_396))
        & arg1(sK56(U_398,U_397,U_396),U_397)
        & subs(sK55(U_398,U_397,U_396),bezeichnen_1_1)
        & obj(sK55(U_398,U_397,U_396),U_397)
        & hsit(U_398,sK55(U_398,U_397,U_396)) )
      | ~ subr(U_398,sub_0)
      | ~ arg2(U_398,U_396)
      | ~ arg1(U_398,U_397) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(U_393,sK57(U_398,U_397,U_396))],[f_162_5]) ).

cnf(f_162_8,plain,
    ( obj(sK55(U_398,U_397,U_396),U_397)
    | ~ subr(U_398,sub_0)
    | ~ arg2(U_398,U_396)
    | ~ arg1(U_398,U_397) ),
    inference(clausify,[status(thm)],[f_162_6]) ).

fof(f_163_1,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( subr(X2,sub_0)
          & arg2(X2,X1)
          & arg1(X2,X0) )
      | ~ sub(X0,X1) ),
    inference(fof_nnf,[status(thm)],[sub__sub_0_expansion]) ).

fof(f_163_2,plain,
    ! [U_401,U_400] :
      ( ? [U_399] :
          ( subr(U_399,sub_0)
          & arg2(U_399,U_400)
          & arg1(U_399,U_401) )
      | ~ sub(U_401,U_400) ),
    inference(variable_rename,[status(thm)],[f_163_1]) ).

fof(f_163_3,plain,
    ! [U_401,U_400] :
      ( ( subr(sK58(U_401,U_400),sub_0)
        & arg2(sK58(U_401,U_400),U_400)
        & arg1(sK58(U_401,U_400),U_401) )
      | ~ sub(U_401,U_400) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(U_399,sK58(U_401,U_400))],[f_163_2]) ).

cnf(f_163_4,plain,
    ( arg1(sK58(U_401,U_400),U_401)
    | ~ sub(U_401,U_400) ),
    inference(clausify,[status(thm)],[f_163_3]) ).

cnf(f_163_5,plain,
    ( arg2(sK58(U_401,U_400),U_400)
    | ~ sub(U_401,U_400) ),
    inference(clausify,[status(thm)],[f_163_3]) ).

cnf(f_163_6,plain,
    ( subr(sK58(U_401,U_400),sub_0)
    | ~ sub(U_401,U_400) ),
    inference(clausify,[status(thm)],[f_163_3]) ).

fof(f_10188_1,negated_conjecture,
    ~ ? [X0,X1] : obj(X1,X0),
    inference(negate,[status(cth)],[synth_qa07_007_mira_news_1087]) ).

fof(f_10188_2,negated_conjecture,
    ! [X0,X1] : ~ obj(X1,X0),
    inference(fof_nnf,[status(thm)],[f_10188_1]) ).

fof(f_10188_3,negated_conjecture,
    ! [U_473,U_472] : ~ obj(U_472,U_473),
    inference(variable_rename,[status(thm)],[f_10188_2]) ).

fof(f_10188_4,negated_conjecture,
    ! [U_472,U_473] : ~ obj(U_472,U_473),
    inference(definitional_conversion,[status(esa)],[f_10188_3]) ).

cnf(f_10188_5,negated_conjecture,
    ~ obj(U_472,U_473),
    inference(clausify,[status(thm)],[f_10188_4]) ).

fof(f_10189_1,plain,
    ( varia(c2590,varia_c)
    & refer(c2590,refer_c)
    & quant(c2590,quant_c)
    & gener(c2590,gener_c)
    & fact(c2590,real)
    & etype(c2590,etype_c)
    & card(c2590,card_c)
    & sort(c2590,ent)
    & gener(million_1_1,ge)
    & sort(million_1_1,me)
    & card(c2406,int12)
    & sort(c2406,nu)
    & varia(c2409,con)
    & refer(c2409,refer_c)
    & quant(c2409,quant_c)
    & gener(c2409,gener_c)
    & fact(c2409,real)
    & etype(c2409,etype_c)
    & card(c2409,card_c)
    & sort(c2409,m)
    & sort(c2409,co)
    & varia(beitrag_1_1,varia_c)
    & refer(beitrag_1_1,refer_c)
    & quant(beitrag_1_1,one)
    & gener(beitrag_1_1,ge)
    & fact(beitrag_1_1,real)
    & etype(beitrag_1_1,int0)
    & card(beitrag_1_1,int1)
    & sort(beitrag_1_1,io)
    & varia(c2403,varia_c)
    & refer(c2403,indet)
    & quant(c2403,one)
    & gener(c2403,sp)
    & fact(c2403,real)
    & etype(c2403,int0)
    & card(c2403,int1)
    & sort(c2403,io)
    & gener(mark_1_1,ge)
    & sort(mark_1_1,me)
    & fact(c2383,real)
    & sort(c2383,me)
    & tupl_p4(c2590,c2383,c2403,c2409)
    & quant_p3(c2409,c2406,million_1_1)
    & sub(c2403,beitrag_1_1)
    & sub(c2383,mark_1_1) ),
    inference(fof_nnf,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1087]) ).

cnf(f_10189_3,plain,
    sub(c2403,beitrag_1_1),
    inference(clausify,[status(thm)],[f_10189_1]) ).

cnf(t1,plain,
    ~ obj(sK55(sK58(c2403,beitrag_1_1),c2403,beitrag_1_1),c2403),
    inference(start,[status(thm),parent(0:0)],[f_10188_5]) ).

cnf(t2,plain,
    ( ~ arg2(sK58(c2403,beitrag_1_1),beitrag_1_1)
    | ~ subr(sK58(c2403,beitrag_1_1),sub_0)
    | ~ arg1(sK58(c2403,beitrag_1_1),c2403)
    | obj(sK55(sK58(c2403,beitrag_1_1),c2403,beitrag_1_1),c2403) ),
    inference(extension,[status(thm),parent(t1:1)],[f_162_8]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    ( ~ sub(c2403,beitrag_1_1)
    | arg1(sK58(c2403,beitrag_1_1),c2403) ),
    inference(extension,[status(thm),parent(t2:2)],[f_163_4]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).

cnf(t6,plain,
    sub(c2403,beitrag_1_1),
    inference(extension,[status(thm),parent(t4:2)],[f_10189_3]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).

cnf(t8,plain,
    ( ~ sub(c2403,beitrag_1_1)
    | subr(sK58(c2403,beitrag_1_1),sub_0) ),
    inference(extension,[status(thm),parent(t2:3)],[f_163_6]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).

cnf(t10,plain,
    sub(c2403,beitrag_1_1),
    inference(extension,[status(thm),parent(t8:2)],[f_10189_3]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).

cnf(t12,plain,
    ( ~ sub(c2403,beitrag_1_1)
    | arg2(sK58(c2403,beitrag_1_1),beitrag_1_1) ),
    inference(extension,[status(thm),parent(t2:4)],[f_163_5]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:4]) ).

cnf(t14,plain,
    sub(c2403,beitrag_1_1),
    inference(extension,[status(thm),parent(t12:2)],[f_10189_3]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR115+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  This is a FOF_THM_RFO_NEQ problem
% 0.00/0.06  % Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.46  % Computer : n020.cluster.edu
% 0.17/5.46  % Model    : x86_64 x86_64
% 0.17/5.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.46  % Memory   : 8046.5625MB
% 0.17/5.46  % OS       : Linux 6.8.0-71-generic
% 0.17/5.46  % CPULimit : 300
% 0.17/5.46  % WCLimit  : 300
% 0.17/5.46  % DateTime : Sun Sep 20 17:18:52 UTC 2026
% 0.17/5.46  % CPUTime  : 
% 13.53/18.80  % SZS status Theorem for theBenchmark
% 13.53/18.80  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------