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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR114+18 : 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 : n017.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 07:07:36 AM UTC 2026

% Result   : Theorem 5.16s 1.12s
% Output   : CNFRefutation 5.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   29 (   9 unt;   0 def)
%            Number of atoms       :  301 (   0 equ)
%            Maximal formula atoms :  209 (  10 avg)
%            Number of connectives :  325 (  53   ~;  41   |; 230   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  209 (  12 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   26 (  25 usr;   1 prp; 0-2 aty)
%            Number of functors    :   58 (  58 usr;  57 con; 0-2 aty)
%            Number of variables   :   55 (   8 sgn  12   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(loc__stehen_1_1_loc,axiom,
    ! [X0,X1] :
      ( loc(X0,X1)
     => ? [X2] :
          ( subs(X2,stehen_1_1)
          & scar(X2,X0)
          & loc(X2,X1) ) ),
    file('theBenchmark.p',loc__stehen_1_1_loc) ).

fof(ave07_era5_synth_qa07_004_qapn_64_a281,axiom,
    ( varia(paar_3_1,varia_c)
    & refer(paar_3_1,refer_c)
    & quant(paar_3_1,quant_c)
    & gener(paar_3_1,ge)
    & fact(paar_3_1,real)
    & etype(paar_3_1,int1)
    & card(paar_3_1,card_c)
    & sort(paar_3_1,d)
    & varia(ehe_2_1,varia_c)
    & refer(ehe_2_1,refer_c)
    & quant(ehe_2_1,one)
    & gener(ehe_2_1,ge)
    & fact(ehe_2_1,real)
    & etype(ehe_2_1,int0)
    & card(ehe_2_1,int1)
    & sort(ehe_2_1,re)
    & sort(ehe_2_1,as)
    & gener(erleben_1_1,ge)
    & fact(erleben_1_1,real)
    & sort(erleben_1_1,dn)
    & gener(c31,sp)
    & fact(c31,real)
    & sort(c31,dn)
    & varia(ehepaar_3_1,varia_c)
    & refer(ehepaar_3_1,refer_c)
    & quant(ehepaar_3_1,quant_c)
    & gener(ehepaar_3_1,ge)
    & fact(ehepaar_3_1,real)
    & etype(ehepaar_3_1,int1)
    & card(ehepaar_3_1,card_c)
    & sort(ehepaar_3_1,d)
    & sort(n344gyptisch_1_1,nq)
    & varia(c25,varia_c)
    & refer(c25,indet)
    & quant(c25,one)
    & gener(c25,sp)
    & fact(c25,real)
    & etype(c25,int1)
    & card(c25,int1)
    & sort(c25,d)
    & gener(steigen_1_2,ge)
    & fact(steigen_1_2,real)
    & sort(steigen_1_2,da)
    & gener(wollen_0,gener_c)
    & fact(wollen_0,real)
    & sort(wollen_0,md)
    & varia(c245,con)
    & refer(c245,det)
    & quant(c245,one)
    & gener(c245,sp)
    & fact(c245,real)
    & etype(c245,int0)
    & card(c245,int1)
    & sort(c245,l)
    & varia(c244,con)
    & refer(c244,det)
    & quant(c244,one)
    & gener(c244,sp)
    & fact(c244,real)
    & etype(c244,int0)
    & card(c244,int1)
    & sort(c244,l)
    & varia(c243,varia_c)
    & refer(c243,det)
    & quant(c243,one)
    & gener(c243,sp)
    & fact(c243,real)
    & etype(c243,int0)
    & card(c243,int1)
    & sort(c243,l)
    & gener(c205,sp)
    & fact(c205,real)
    & sort(c205,da)
    & 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)
    & sort(rom_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(c197,varia_c)
    & refer(c197,indet)
    & quant(c197,one)
    & gener(c197,sp)
    & fact(c197,real)
    & etype(c197,int0)
    & card(c197,int1)
    & sort(c197,na)
    & varia(c196,con)
    & refer(c196,det)
    & quant(c196,one)
    & gener(c196,sp)
    & fact(c196,real)
    & etype(c196,int0)
    & card(c196,int1)
    & sort(c196,io)
    & sort(c196,d)
    & varia(kolosseum_1_1,con)
    & refer(kolosseum_1_1,det)
    & quant(kolosseum_1_1,one)
    & gener(kolosseum_1_1,sp)
    & fact(kolosseum_1_1,real)
    & etype(kolosseum_1_1,int0)
    & card(kolosseum_1_1,int1)
    & sort(kolosseum_1_1,d)
    & varia(c190,con)
    & refer(c190,det)
    & quant(c190,one)
    & gener(c190,sp)
    & fact(c190,real)
    & etype(c190,int0)
    & card(c190,int1)
    & sort(c190,d)
    & varia(c204,varia_c)
    & refer(c204,det)
    & quant(c204,one)
    & gener(c204,sp)
    & fact(c204,real)
    & etype(c204,int0)
    & card(c204,int1)
    & sort(c204,d)
    & varia(c184,varia_c)
    & refer(c184,det)
    & quant(c184,one)
    & gener(c184,sp)
    & fact(c184,real)
    & etype(c184,int0)
    & card(c184,int1)
    & sort(c184,o)
    & varia(dienstag__1_1,varia_c)
    & refer(dienstag__1_1,refer_c)
    & quant(dienstag__1_1,one)
    & gener(dienstag__1_1,ge)
    & fact(dienstag__1_1,real)
    & etype(dienstag__1_1,int0)
    & card(dienstag__1_1,int1)
    & sort(dienstag__1_1,ta)
    & varia(c15,con)
    & refer(c15,det)
    & quant(c15,one)
    & gener(c15,sp)
    & fact(c15,real)
    & etype(c15,int0)
    & card(c15,int1)
    & sort(c15,ta)
    & varia(n374berraschung_1_1,varia_c)
    & refer(n374berraschung_1_1,refer_c)
    & quant(n374berraschung_1_1,one)
    & gener(n374berraschung_1_1,ge)
    & fact(n374berraschung_1_1,real)
    & etype(n374berraschung_1_1,int0)
    & card(n374berraschung_1_1,int1)
    & sort(n374berraschung_1_1,ad)
    & sort(arglistig_1_1,nq)
    & varia(c10,varia_c)
    & refer(c10,indet)
    & quant(c10,one)
    & gener(c10,sp)
    & fact(c10,real)
    & etype(c10,int0)
    & card(c10,int1)
    & sort(c10,ad)
    & sub(ehepaar_3_1,paar_3_1)
    & assoc(ehepaar_3_1,ehe_2_1)
    & temp(c31,c205)
    & temp(c31,c15)
    & subs(c31,erleben_1_1)
    & obj(c31,c10)
    & exp(c31,c25)
    & sub(c25,ehepaar_3_1)
    & prop(c25,n344gyptisch_1_1)
    & vor(c245,c190)
    & in(c244,c196)
    & in(c243,c204)
    & subs(c205,steigen_1_2)
    & modl(c205,wollen_0)
    & loc(c205,c245)
    & loc(c205,c244)
    & dircl(c205,c243)
    & agt(c205,c184)
    & sub(c204,auto__1_1)
    & val(c197,rom_0)
    & sub(c197,name_1_1)
    & sub(c196,stadt__1_1)
    & attr(c196,c197)
    & sub(c190,kolosseum_1_1)
    & poss(c184,c204)
    & sub(c15,dienstag__1_1)
    & subs(c10,n374berraschung_1_1)
    & prop(c10,arglistig_1_1) ),
    file('theBenchmark.p',ave07_era5_synth_qa07_004_qapn_64_a281) ).

fof(synth_qa07_004_qapn_64_a281,conjecture,
    ? [X0,X1,X2,X3,X4] :
      ( val(X1,rom_0)
      & subs(X4,stehen_1_1)
      & sub(X0,stadt__1_1)
      & sub(X1,name_1_1)
      & scar(X4,X3)
      & loc(X4,X2)
      & attr(X0,X1)
      & in(X2,X0) ),
    file('theBenchmark.p',synth_qa07_004_qapn_64_a281) ).

fof(synth_qa07_004_qapn_64_a281_neg,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4] :
        ( val(X1,rom_0)
        & subs(X4,stehen_1_1)
        & sub(X0,stadt__1_1)
        & sub(X1,name_1_1)
        & scar(X4,X3)
        & loc(X4,X2)
        & attr(X0,X1)
        & in(X2,X0) ),
    inference(assume_negation,[status(cth)],[synth_qa07_004_qapn_64_a281]) ).

fof(nnf_40,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( subs(X2,stehen_1_1)
          & scar(X2,X0)
          & loc(X2,X1) )
      | ~ loc(X0,X1) ),
    inference(fof_nnf,[status(thm)],[loc__stehen_1_1_loc]) ).

fof(sk_loc__stehen_1_1_loc_sk,plain,
    ! [X0,X1] :
      ( ( subs(sK0(X0,X1),stehen_1_1)
        & scar(sK0(X0,X1),X0)
        & loc(sK0(X0,X1),X1) )
      | ~ loc(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[nnf_40]) ).

fof(sk_loc__stehen_1_1_loc,plain,
    ( ! [VAR_0,VAR_1] :
        ( subs(sK0(VAR_0,VAR_1),stehen_1_1)
        | ~ loc(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1] :
        ( scar(sK0(VAR_0,VAR_1),VAR_0)
        | ~ loc(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1] :
        ( loc(sK0(VAR_0,VAR_1),VAR_1)
        | ~ loc(VAR_0,VAR_1) ) ),
    inference(cnf_transformation,[status(thm)],[sk_loc__stehen_1_1_loc_sk]) ).

cnf(c_201,plain,
    ( loc(sK0(A,B),B)
    | ~ loc(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).

cnf(c_202,plain,
    ( scar(sK0(A,B),A)
    | ~ loc(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).

cnf(c_203,plain,
    ( subs(sK0(A,B),stehen_1_1)
    | ~ loc(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).

cnf(c_216,plain,
    attr(c196,c197),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_64_a281]) ).

cnf(c_217,plain,
    sub(c196,stadt__1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_64_a281]) ).

cnf(c_218,plain,
    sub(c197,name_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_64_a281]) ).

cnf(c_219,plain,
    val(c197,rom_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_64_a281]) ).

cnf(c_223,plain,
    loc(c205,c244),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_64_a281]) ).

cnf(c_228,plain,
    in(c244,c196),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapn_64_a281]) ).

cnf(c_420,negated_conjecture,
    ( ~ val(C,rom_0)
    | ~ subs(D,stehen_1_1)
    | ~ sub(B,stadt__1_1)
    | ~ sub(C,name_1_1)
    | ~ scar(D,E)
    | ~ loc(D,A)
    | ~ attr(B,C)
    | ~ in(A,B) ),
    inference(clausify,[status(thm)],[synth_qa07_004_qapn_64_a281_neg]) ).

cnf(c_3489,negated_conjecture,
    ( ~ val(c197,rom_0)
    | ~ subs(C,stehen_1_1)
    | ~ sub(B,stadt__1_1)
    | ~ scar(C,D)
    | ~ loc(C,A)
    | ~ attr(B,c197)
    | ~ in(A,B) ),
    inference(resolve,[status(thm)],[c_218,c_420]) ).

cnf(c_824,negated_conjecture,
    ( ~ subs(C,stehen_1_1)
    | ~ sub(B,stadt__1_1)
    | ~ scar(C,D)
    | ~ loc(C,A)
    | ~ attr(B,c197)
    | ~ in(A,B) ),
    inference(resolve,[status(thm)],[c_219,c_3489]) ).

cnf(c_3490,plain,
    ( ~ subs(A,stehen_1_1)
    | ~ sub(c196,stadt__1_1)
    | ~ scar(A,B)
    | ~ loc(A,c244)
    | ~ attr(c196,c197) ),
    inference(resolve,[status(thm)],[c_228,c_824]) ).

cnf(c_3491,plain,
    ( ~ subs(A,stehen_1_1)
    | ~ sub(c196,stadt__1_1)
    | ~ scar(A,B)
    | ~ loc(A,c244) ),
    inference(resolve,[status(thm)],[c_216,c_3490]) ).

cnf(c_903,plain,
    ( ~ subs(A,stehen_1_1)
    | ~ scar(A,B)
    | ~ loc(A,c244) ),
    inference(resolve,[status(thm)],[c_217,c_3491]) ).

cnf(c_3369,plain,
    ( ~ subs(sK0(A,c244),stehen_1_1)
    | ~ scar(sK0(A,c244),B)
    | ~ loc(A,c244) ),
    inference(resolve,[status(thm)],[c_201,c_903]) ).

cnf(c_3376,plain,
    loc(sK0(c205,c244),c244),
    inference(resolve,[status(thm)],[c_201,c_223]) ).

cnf(c_3492,plain,
    ( ~ subs(sK0(A,c244),stehen_1_1)
    | ~ loc(A,c244)
    | ~ loc(A,c244) ),
    inference(resolve,[status(thm)],[c_202,c_3369]) ).

cnf(c_3404,plain,
    ( ~ subs(sK0(A,c244),stehen_1_1)
    | ~ loc(A,c244) ),
    inference(copy,[status(thm)],[c_3492]) ).

cnf(c_3493,plain,
    ( ~ loc(A,c244)
    | ~ loc(A,c244) ),
    inference(resolve,[status(thm)],[c_203,c_3404]) ).

cnf(c_3487,plain,
    ~ loc(A,c244),
    inference(copy,[status(thm)],[c_3493]) ).

cnf(c_3488,plain,
    $false,
    inference(resolve,[status(thm)],[c_3487,c_3376]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR114+18 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n017.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sun Sep 27 01:00:34 UTC 2026
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.36  % Process 2040642 was started by sandbox2 on n017,
% 0.13/0.36  % Sun Sep 27 01:00:34 2026
% 0.13/0.36  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 5.16/1.12  
% 5.16/1.12  % SInE (scan): 84 to sos (tol 1.5x), 22 to usable (tol 2.0x), 10082 zapped, of 10188 axioms (depth 3).
% 5.16/1.12  
% 5.16/1.12  % From the command line: assign(max_seconds, 300).
% 5.16/1.12  
% 5.16/1.12  % given #500 (F,wt=14): 2780 -scar(f8(c205,steigen_1_2),A) | -subs(B,stehen_1_1) | -subs(eintreffen_1_2,C) | -subs(C,B).  [resolve(2779,b,170,c)].
% 5.16/1.12  
% 5.16/1.12  % SZS status Theorem for theBenchmark
% 5.16/1.12  
% 5.16/1.12  % Proof 1 at 0.57 (+ 0.11) seconds.
% 5.16/1.12  % Length of proof is 20.
% 5.16/1.12  % Level of proof is 7.
% 5.16/1.12  % Maximum clause weight is 24.000.
% 5.16/1.12  % Given clauses 595.
% 5.16/1.12  
% 5.16/1.12  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------