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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR114+20 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/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 : Thu Sep 24 12:13:52 PM UTC 2026

% Result   : Theorem 161.13s 20.89s
% Output   : CNFRefutation 161.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   45 (  11 unt;   4 def)
%            Number of atoms       :  345 (   0 equ)
%            Maximal formula atoms :  193 (   7 avg)
%            Number of connectives :  397 (  97   ~;  81   |; 214   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  193 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   28 (  27 usr;   5 prp; 0-2 aty)
%            Number of functors    :   49 (  49 usr;  48 con; 0-2 aty)
%            Number of variables   :   62 (  50   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f180,axiom,
    ! [X0,X1] :
      ( loc(X0,X1)
     => ? [X2] :
          ( subs(X2,stehen_1_1)
          & scar(X2,X0)
          & loc(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4] :
      ( val(X1,rom_0)
      & subs(X4,stehen_1_1)
      & sub(X3,kolosseum_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('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4] :
        ( val(X1,rom_0)
        & subs(X4,stehen_1_1)
        & sub(X3,kolosseum_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(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( gener(nachempfinden_1_1,ge)
    & fact(nachempfinden_1_1,real)
    & sort(nachempfinden_1_1,da)
    & gener(ersetzen_1_1,ge)
    & fact(ersetzen_1_1,real)
    & sort(ersetzen_1_1,da)
    & gener(c501,sp)
    & fact(c501,real)
    & sort(c501,da)
    & varia(klotz__1_1,varia_c)
    & refer(klotz__1_1,refer_c)
    & quant(klotz__1_1,one)
    & gener(klotz__1_1,ge)
    & fact(klotz__1_1,real)
    & etype(klotz__1_1,int0)
    & card(klotz__1_1,int1)
    & sort(klotz__1_1,d)
    & sort(c0,tq)
    & varia(c497,varia_c)
    & refer(c497,refer_c)
    & quant(c497,one)
    & gener(c497,sp)
    & fact(c497,real)
    & etype(c497,int0)
    & card(c497,int1)
    & sort(c497,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(c495,varia_c)
    & refer(c495,indet)
    & quant(c495,one)
    & gener(c495,sp)
    & fact(c495,real)
    & etype(c495,int0)
    & card(c495,int1)
    & sort(c495,na)
    & varia(c494,con)
    & refer(c494,det)
    & quant(c494,one)
    & gener(c494,sp)
    & fact(c494,real)
    & etype(c494,int0)
    & card(c494,int1)
    & sort(c494,io)
    & sort(c494,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(c505,con)
    & refer(c505,det)
    & quant(c505,one)
    & gener(c505,sp)
    & fact(c505,real)
    & etype(c505,int0)
    & card(c505,int1)
    & sort(c505,l)
    & varia(c486,con)
    & refer(c486,det)
    & quant(c486,one)
    & gener(c486,sp)
    & fact(c486,real)
    & etype(c486,int0)
    & card(c486,int1)
    & sort(c486,d)
    & varia(palais_1_1,varia_c)
    & refer(palais_1_1,refer_c)
    & quant(palais_1_1,one)
    & gener(palais_1_1,ge)
    & fact(palais_1_1,real)
    & etype(palais_1_1,int0)
    & card(palais_1_1,int1)
    & sort(palais_1_1,d)
    & sort(gro__337_1_1,mq)
    & sort(niebuhr_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(c379,varia_c)
    & refer(c379,indet)
    & quant(c379,one)
    & gener(c379,sp)
    & fact(c379,real)
    & etype(c379,int0)
    & card(c379,int1)
    & sort(c379,na)
    & gener(verlangen_2_1,ge)
    & fact(verlangen_2_1,real)
    & sort(verlangen_2_1,da)
    & varia(c388,varia_c)
    & refer(c388,indet)
    & quant(c388,one)
    & gener(c388,sp)
    & fact(c388,real)
    & etype(c388,int0)
    & card(c388,int1)
    & sort(c388,o)
    & varia(c378,con)
    & refer(c378,det)
    & quant(c378,one)
    & gener(c378,sp)
    & fact(c378,real)
    & etype(c378,int0)
    & card(c378,int1)
    & sort(c378,d)
    & gener(c15,sp)
    & fact(c15,real)
    & sort(c15,da)
    & varia(republik__1_1,varia_c)
    & refer(republik__1_1,refer_c)
    & quant(republik__1_1,one)
    & gener(republik__1_1,ge)
    & fact(republik__1_1,real)
    & etype(republik__1_1,int0)
    & card(republik__1_1,int1)
    & sort(republik__1_1,io)
    & sort(republik__1_1,d)
    & varia(c4,con)
    & refer(c4,det)
    & quant(c4,one)
    & gener(c4,sp)
    & fact(c4,real)
    & etype(c4,int0)
    & card(c4,int1)
    & sort(c4,d)
    & varia(c11,con)
    & refer(c11,det)
    & quant(c11,one)
    & gener(c11,sp)
    & fact(c11,real)
    & etype(c11,int0)
    & card(c11,int1)
    & sort(c11,io)
    & sort(c11,d)
    & chsp2(nachempfinden_1_1,c0)
    & in(c505,c494)
    & subs(c501,ersetzen_1_1)
    & semrel(c501,c15)
    & obj(c501,c497)
    & benf(c501,c486)
    & sub(c497,klotz__1_1)
    & prop(c497,c0)
    & val(c495,rom_0)
    & sub(c495,name_1_1)
    & sub(c494,stadt__1_1)
    & attr(c494,c495)
    & sub(c486,kolosseum_1_1)
    & loc(c486,c505)
    & sub(c4,palais_1_1)
    & prop(c388,gro__337_1_1)
    & val(c379,niebuhr_0)
    & sub(c379,familiename_1_1)
    & sub(c378,mensch_1_1)
    & attr(c378,c379)
    & subs(c15,verlangen_2_1)
    & obj(c15,c4)
    & cstr(c15,c388)
    & agt(c15,c378)
    & sub(c11,republik__1_1)
    & attch(c11,c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10801,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( subs(X2,stehen_1_1)
          & scar(X2,X0)
          & loc(X2,X1) )
      | ~ loc(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f180]) ).

fof(f10802,plain,
    ! [X0,X1] :
      ( ( subs(sK62_skl(X1,X0),stehen_1_1)
        & scar(sK62_skl(X1,X0),X0)
        & loc(sK62_skl(X1,X0),X1) )
      | ~ loc(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK62_skl]),skolemize(X2,sK62_skl(X1,X0))],[f10801]) ).

fof(f10803,plain,
    ! [X0,X1] :
      ( loc(sK62_skl(X1,X0),X1)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10802]) ).

fof(f10804,plain,
    ! [X0,X1] :
      ( scar(sK62_skl(X1,X0),X0)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10802]) ).

fof(f10805,plain,
    ! [X0,X1] :
      ( subs(sK62_skl(X1,X0),stehen_1_1)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10802]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ val(X1,rom_0)
      | ~ subs(X4,stehen_1_1)
      | ~ sub(X3,kolosseum_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(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X1] :
      ( ~ val(X1,rom_0)
      | ! [X4] :
          ( ~ subs(X4,stehen_1_1)
          | ! [X3] :
              ( ~ sub(X3,kolosseum_1_1)
              | ! [X0] :
                  ( ~ sub(X0,stadt__1_1)
                  | ~ sub(X1,name_1_1)
                  | ~ scar(X4,X3)
                  | ! [X2] :
                      ( ~ loc(X4,X2)
                      | ~ attr(X0,X1)
                      | ~ in(X2,X0) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ attr(X2,X4)
      | ~ sub(X2,stadt__1_1)
      | ~ val(X4,rom_0)
      | ~ loc(X3,X1)
      | ~ scar(X3,X0)
      | ~ sub(X4,name_1_1)
      | ~ subs(X3,stehen_1_1)
      | ~ in(X1,X2)
      | ~ sub(X0,kolosseum_1_1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20830,plain,
    loc(c486,c505),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20831,plain,
    sub(c486,kolosseum_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20832,plain,
    attr(c494,c495),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20833,plain,
    sub(c494,stadt__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20834,plain,
    sub(c495,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20835,plain,
    val(c495,rom_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20842,plain,
    in(c505,c494),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21855,plain,
    ! [X0,X1,X2,X3] :
      ( ~ attr(c494,X3)
      | ~ val(X3,rom_0)
      | ~ loc(X2,X1)
      | ~ scar(X2,X0)
      | ~ sub(X3,name_1_1)
      | ~ subs(X2,stehen_1_1)
      | ~ in(X1,c494)
      | ~ sub(X0,kolosseum_1_1) ),
    inference(resolution,[status(thm)],[f20833,f20817]) ).

fof(f21875,definition,
    ! [X0,X1,X2] :
      ( sQ8_spl
    <=> ( ~ loc(X2,X1)
        | ~ scar(X2,X0)
        | ~ subs(X2,stehen_1_1)
        | ~ in(X1,c494)
        | ~ sub(X0,kolosseum_1_1) ) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f21876,plain,
    ! [X0,X1,X2] :
      ( ~ sQ8_spl
      | ~ loc(X1,X2)
      | ~ in(X2,c494)
      | ~ scar(X1,X0)
      | ~ subs(X1,stehen_1_1)
      | ~ sub(X0,kolosseum_1_1) ),
    inference(component_clause,[status(thm)],[f21875]) ).

fof(f21878,definition,
    ! [X3] :
      ( sQ9_spl
    <=> ( ~ attr(c494,X3)
        | ~ val(X3,rom_0)
        | ~ sub(X3,name_1_1) ) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f21879,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | ~ val(X0,rom_0)
      | ~ sub(X0,name_1_1)
      | ~ attr(c494,X0) ),
    inference(component_clause,[status(thm)],[f21878]) ).

fof(f21881,plain,
    ( sQ9_spl
    | sQ8_spl ),
    inference(split_clause,[status(thm)],[f21855,f21875,f21878]) ).

fof(f21923,plain,
    ! [X0,X1] :
      ( ~ sQ8_spl
      | ~ scar(X0,c486)
      | ~ in(X1,c494)
      | ~ subs(X0,stehen_1_1)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f21876,f20831]) ).

fof(f21944,plain,
    ! [X0,X1,X2] :
      ( ~ sQ8_spl
      | ~ loc(X1,X0)
      | ~ in(X2,c494)
      | ~ loc(sK62_skl(X0,X1),X2)
      | ~ scar(sK62_skl(X0,X1),c486) ),
    inference(resolution,[status(thm)],[f21923,f10805]) ).

fof(f23779,plain,
    ( ~ sQ9_spl
    | ~ val(c495,rom_0)
    | ~ attr(c494,c495) ),
    inference(resolution,[status(thm)],[f20834,f21879]) ).

fof(f23790,definition,
    ( sQ159_spl
  <=> attr(c494,c495) ),
    introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).

fof(f23792,plain,
    ( sQ159_spl
    | ~ attr(c494,c495) ),
    inference(component_clause,[status(thm)],[f23790]) ).

fof(f23793,definition,
    ( sQ160_spl
  <=> val(c495,rom_0) ),
    introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).

fof(f23795,plain,
    ( sQ160_spl
    | ~ val(c495,rom_0) ),
    inference(component_clause,[status(thm)],[f23793]) ).

fof(f23796,plain,
    ( ~ sQ9_spl
    | ~ sQ160_spl
    | ~ sQ159_spl ),
    inference(split_clause,[status(thm)],[f23779,f23790,f23793,f21878]) ).

fof(f23824,plain,
    ( sQ159_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f23792,f20832]) ).

fof(f23825,plain,
    sQ159_spl,
    inference(contradiction_clause,[status(thm)],[f23824]) ).

fof(f23826,plain,
    ( sQ160_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f23795,f20835]) ).

fof(f23827,plain,
    sQ160_spl,
    inference(contradiction_clause,[status(thm)],[f23826]) ).

fof(f27832,plain,
    ! [X0,X1] :
      ( ~ sQ8_spl
      | ~ loc(X0,X1)
      | ~ in(X1,c494)
      | ~ scar(sK62_skl(X1,X0),c486)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f10803,f21944]) ).

fof(f27841,plain,
    ! [X0,X1] :
      ( ~ sQ8_spl
      | ~ in(X1,c494)
      | ~ scar(sK62_skl(X1,X0),c486)
      | ~ loc(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f27832]) ).

fof(f36324,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ in(X0,c494)
      | ~ loc(c486,X0)
      | ~ loc(c486,X0) ),
    inference(resolution,[status(thm)],[f10804,f27841]) ).

fof(f36352,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ in(X0,c494)
      | ~ loc(c486,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f36324]) ).

fof(f37221,plain,
    ( ~ sQ8_spl
    | ~ in(c505,c494) ),
    inference(resolution,[status(thm)],[f36352,f20830]) ).

fof(f37240,plain,
    ( ~ sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f37221,f20842]) ).

fof(f37241,plain,
    ~ sQ8_spl,
    inference(contradiction_clause,[status(thm)],[f37240]) ).

fof(f37242,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21881,f23796,f23825,f23827,f37241]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR114+20 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n017.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 14:59:58 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.22/0.49  % Drodi V4.1.1
% 161.13/20.89  % Refutation found
% 161.13/20.89  % SZS status Theorem for theBenchmark: Theorem is valid
% 161.13/20.89  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.24/21.12  % Elapsed time: 20.734892 seconds
% 5.24/21.12  % CPU time: 162.837242 seconds
% 5.24/21.12  % Total memory used: 1.126 GB
% 5.24/21.12  % Net memory used: 1.085 GB
%------------------------------------------------------------------------------