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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+55 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /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 : Thu Sep 24 12:14:01 PM UTC 2026

% Result   : Theorem 238.62s 35.94s
% Output   : CNFRefutation 240.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   36 (  10 unt;   0 def)
%            Number of atoms       :  282 (   0 equ)
%            Maximal formula atoms :  159 (   7 avg)
%            Number of connectives :  306 (  60   ~;  47   |; 196   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  159 (  11 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-9 aty)
%            Number of functors    :   56 (  56 usr;  51 con; 0-2 aty)
%            Number of variables   :   95 (  72   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,axiom,
    ! [X0,X1] :
      ( fact(X0,X1)
     => has_fact_leq(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f95,axiom,
    ! [X0,X1] :
      ( ( loc(X1,X0)
        & has_fact_leq(X1,real) )
     => ? [X2] :
          ( subs(X2,geben_1_1)
          & obj(X2,X1)
          & loc(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f155,axiom,
    ! [X0,X1,X2] :
      ( ( state_adjective_state_binding(X1,X2)
        & prop(X0,X1) )
     => ? [X3,X4,X5] :
          ( val(X4,X2)
          & sub(X4,name_1_1)
          & sub(X3,land_1_1)
          & loc(X0,X5)
          & attr(X3,X4)
          & in(X5,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9027,axiom,
    state_adjective_state_binding(britisch__1_1,grossbritannien_0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5] :
      ( sub(X1,name_1_1)
      & sub(X0,firma_1_1)
      & prop(X0,britisch__1_1)
      & obj(X3,X0)
      & attr(X4,X5)
      & attr(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5] :
        ( sub(X1,name_1_1)
        & sub(X0,firma_1_1)
        & prop(X0,britisch__1_1)
        & obj(X3,X0)
        & attr(X4,X5)
        & attr(X2,X1) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(c50786,varia_c)
    & refer(c50786,det)
    & quant(c50786,one)
    & gener(c50786,sp)
    & fact(c50786,real)
    & etype(c50786,int0)
    & card(c50786,int1)
    & sort(c50786,o)
    & varia(c51219,varia_c)
    & refer(c51219,refer_c)
    & quant(c51219,quant_c)
    & gener(c51219,gener_c)
    & fact(c51219,real)
    & etype(c51219,etype_c)
    & card(c51219,card_c)
    & sort(c51219,ent)
    & varia(aktion__344r_1_1,varia_c)
    & refer(aktion__344r_1_1,refer_c)
    & quant(aktion__344r_1_1,one)
    & gener(aktion__344r_1_1,ge)
    & fact(aktion__344r_1_1,real)
    & etype(aktion__344r_1_1,int0)
    & card(aktion__344r_1_1,int1)
    & sort(aktion__344r_1_1,io)
    & sort(aktion__344r_1_1,d)
    & varia(c50870,con)
    & refer(c50870,det)
    & quant(c50870,mult)
    & gener(c50870,sp)
    & fact(c50870,real)
    & etype(c50870,int1)
    & card(c50870,cons(x_constant,cons(int1,nil)))
    & sort(c50870,io)
    & sort(c50870,d)
    & varia(rat_1_1,varia_c)
    & refer(rat_1_1,refer_c)
    & quant(rat_1_1,one)
    & gener(rat_1_1,ge)
    & fact(rat_1_1,real)
    & etype(rat_1_1,int0)
    & card(rat_1_1,int1)
    & sort(rat_1_1,io)
    & sort(rat_1_1,ad)
    & sort(negativ_1_1,nq)
    & varia(c50864,varia_c)
    & refer(c50864,refer_c)
    & quant(c50864,one)
    & gener(c50864,sp)
    & fact(c50864,nonreal)
    & etype(c50864,int0)
    & card(c50864,int1)
    & sort(c50864,io)
    & sort(c50864,ad)
    & varia(tee__1_1,varia_c)
    & refer(tee__1_1,refer_c)
    & quant(tee__1_1,one)
    & gener(tee__1_1,ge)
    & fact(tee__1_1,real)
    & etype(tee__1_1,int0)
    & card(tee__1_1,int1)
    & sort(tee__1_1,s)
    & varia(c50852,varia_c)
    & refer(c50852,refer_c)
    & quant(c50852,one)
    & gener(c50852,gener_c)
    & fact(c50852,real)
    & etype(c50852,int0)
    & card(c50852,int1)
    & sort(c50852,s)
    & varia(abwart_1_1,varia_c)
    & refer(abwart_1_1,refer_c)
    & quant(abwart_1_1,one)
    & gener(abwart_1_1,ge)
    & fact(abwart_1_1,real)
    & etype(abwart_1_1,int0)
    & card(abwart_1_1,int1)
    & sort(abwart_1_1,o)
    & varia(c50848,varia_c)
    & refer(c50848,indet)
    & quant(c50848,mult)
    & gener(c50848,gener_c)
    & fact(c50848,real)
    & etype(c50848,int1)
    & card(c50848,cons(x_constant,cons(int1,nil)))
    & sort(c50848,o)
    & sort(britisch__1_1,nq)
    & varia(c50830,varia_c)
    & refer(c50830,indet)
    & quant(c50830,one)
    & gener(c50830,sp)
    & fact(c50830,real)
    & etype(c50830,int0)
    & card(c50830,int1)
    & sort(c50830,io)
    & sort(c50830,d)
    & sort(rover_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(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(c50826,varia_c)
    & refer(c50826,indet)
    & quant(c50826,one)
    & gener(c50826,sp)
    & fact(c50826,real)
    & etype(c50826,int0)
    & card(c50826,int1)
    & sort(c50826,na)
    & varia(c50825,con)
    & refer(c50825,det)
    & quant(c50825,one)
    & gener(c50825,sp)
    & fact(c50825,real)
    & etype(c50825,int0)
    & card(c50825,int1)
    & sort(c50825,io)
    & sort(c50825,d)
    & varia(sich_1_1,varia_c)
    & refer(sich_1_1,refer_c)
    & quant(sich_1_1,one)
    & gener(sich_1_1,gener_c)
    & fact(sich_1_1,real)
    & etype(sich_1_1,int0)
    & card(sich_1_1,int1)
    & sort(sich_1_1,o)
    & varia(c50787,varia_c)
    & refer(c50787,refer_c)
    & quant(c50787,one)
    & gener(c50787,gener_c)
    & fact(c50787,real)
    & etype(c50787,int0)
    & card(c50787,int1)
    & sort(c50787,o)
    & tupl_p9(c51219,c50786,c50787,c50825,c50830,c50848,c50852,c50864,c50870)
    & pred(c50870,aktion__344r_1_1)
    & sub(c50864,rat_1_1)
    & prop(c50864,negativ_1_1)
    & sub(c50852,tee__1_1)
    & pred(c50848,abwart_1_1)
    & sub(c50830,firma_1_1)
    & prop(c50830,britisch__1_1)
    & val(c50826,rover_0)
    & sub(c50826,name_1_1)
    & sub(c50825,firma_1_1)
    & attr(c50825,c50826)
    & sub(c50787,sich_1_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10209,plain,
    ! [X0,X1] :
      ( has_fact_leq(X0,X1)
      | ~ fact(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f11]) ).

fof(f10210,plain,
    ! [X0,X1] :
      ( has_fact_leq(X0,X1)
      | ~ fact(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10209]) ).

fof(f10363,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( subs(X2,geben_1_1)
          & obj(X2,X1)
          & loc(X2,X0) )
      | ~ loc(X1,X0)
      | ~ has_fact_leq(X1,real) ),
    inference(pre_NNF_transformation,[status(thm)],[f95]) ).

fof(f10364,plain,
    ! [X0,X1] :
      ( ( subs(sK2_skl(X1,X0),geben_1_1)
        & obj(sK2_skl(X1,X0),X1)
        & loc(sK2_skl(X1,X0),X0) )
      | ~ loc(X1,X0)
      | ~ has_fact_leq(X1,real) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(X2,sK2_skl(X1,X0))],[f10363]) ).

fof(f10366,plain,
    ! [X0,X1] :
      ( obj(sK2_skl(X0,X1),X0)
      | ~ loc(X0,X1)
      | ~ has_fact_leq(X0,real) ),
    inference(cnf_transformation,[status(thm)],[f10364]) ).

fof(f10674,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( val(X4,X2)
          & sub(X4,name_1_1)
          & sub(X3,land_1_1)
          & loc(X0,X5)
          & attr(X3,X4)
          & in(X5,X3) )
      | ~ state_adjective_state_binding(X1,X2)
      | ~ prop(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f155]) ).

fof(f10675,plain,
    ! [X0,X2] :
      ( ? [X4] :
          ( val(X4,X2)
          & sub(X4,name_1_1)
          & ? [X3] :
              ( sub(X3,land_1_1)
              & ? [X5] :
                  ( loc(X0,X5)
                  & attr(X3,X4)
                  & in(X5,X3) ) ) )
      | ! [X1] :
          ( ~ state_adjective_state_binding(X1,X2)
          | ~ prop(X0,X1) ) ),
    inference(miniscoping,[status(thm)],[f10674]) ).

fof(f10676,plain,
    ! [X0,X2] :
      ( ( val(sK47_skl(X2,X0),X2)
        & sub(sK47_skl(X2,X0),name_1_1)
        & sub(sK48_skl(X2,X0),land_1_1)
        & loc(X0,sK49_skl(X2,X0))
        & attr(sK48_skl(X2,X0),sK47_skl(X2,X0))
        & in(sK49_skl(X2,X0),sK48_skl(X2,X0)) )
      | ! [X1] :
          ( ~ state_adjective_state_binding(X1,X2)
          | ~ prop(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl]),skolemize(X4,sK47_skl(X2,X0)),skolemize(X3,sK48_skl(X2,X0)),skolemize(X5,sK49_skl(X2,X0))],[f10675]) ).

fof(f10679,plain,
    ! [X0,X1,X2] :
      ( loc(X0,sK49_skl(X2,X0))
      | ~ state_adjective_state_binding(X1,X2)
      | ~ prop(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10676]) ).

fof(f19654,plain,
    state_adjective_state_binding(britisch__1_1,grossbritannien_0),
    inference(cnf_transformation,[status(thm)],[f9027]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sub(X1,name_1_1)
      | ~ sub(X0,firma_1_1)
      | ~ prop(X0,britisch__1_1)
      | ~ obj(X3,X0)
      | ~ attr(X4,X5)
      | ~ attr(X2,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X1] :
      ( ~ sub(X1,name_1_1)
      | ! [X0] :
          ( ~ sub(X0,firma_1_1)
          | ~ prop(X0,britisch__1_1)
          | ! [X3] : ~ obj(X3,X0)
          | ! [X4,X5] : ~ attr(X4,X5)
          | ! [X2] : ~ attr(X2,X1) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sub(X1,name_1_1)
      | ~ sub(X5,firma_1_1)
      | ~ prop(X5,britisch__1_1)
      | ~ obj(X4,X5)
      | ~ attr(X2,X3)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20819,plain,
    attr(c50825,c50826),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20821,plain,
    sub(c50826,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20823,plain,
    prop(c50830,britisch__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    sub(c50830,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20886,plain,
    fact(c50830,real),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21014,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X1,name_1_1)
      | ~ prop(c50830,britisch__1_1)
      | ~ obj(X4,c50830)
      | ~ attr(X2,X3)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f20824,f20817]) ).

fof(f21016,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X1,name_1_1)
      | ~ obj(X4,c50830)
      | ~ attr(X2,X3)
      | ~ attr(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21014,f20823]) ).

fof(f21028,plain,
    ! [X0,X1,X2] :
      ( ~ sub(X1,name_1_1)
      | ~ obj(X2,c50830)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21016,f20819]) ).

fof(f21032,plain,
    ! [X0,X1] :
      ( ~ obj(X1,c50830)
      | ~ attr(X0,c50826) ),
    inference(resolution,[status(thm)],[f21028,f20821]) ).

fof(f21070,plain,
    has_fact_leq(c50830,real),
    inference(resolution,[status(thm)],[f10210,f20886]) ).

fof(f21277,plain,
    ! [X0,X1] :
      ( ~ attr(X1,c50826)
      | ~ loc(c50830,X0)
      | ~ has_fact_leq(c50830,real) ),
    inference(resolution,[status(thm)],[f10366,f21032]) ).

fof(f21292,plain,
    ! [X0,X1] :
      ( ~ attr(X1,c50826)
      | ~ loc(c50830,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21277,f21070]) ).

fof(f27043,plain,
    ! [X0,X1,X2] :
      ( ~ attr(X2,c50826)
      | ~ state_adjective_state_binding(X0,X1)
      | ~ prop(c50830,X0) ),
    inference(resolution,[status(thm)],[f10679,f21292]) ).

fof(f27147,plain,
    ! [X0,X1] :
      ( ~ state_adjective_state_binding(X0,X1)
      | ~ prop(c50830,X0) ),
    inference(resolution,[status(thm)],[f27043,f20819]) ).

fof(f27148,plain,
    ! [X0] : ~ state_adjective_state_binding(britisch__1_1,X0),
    inference(resolution,[status(thm)],[f27147,f20823]) ).

fof(f27150,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f19654,f27148]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+55 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.40  % Computer : n004.cluster.edu
% 0.12/5.40  % Model    : x86_64 x86_64
% 0.12/5.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.40  % Memory   : 8046.5625MB
% 0.12/5.40  % OS       : Linux 6.8.0-71-generic
% 0.12/5.40  % CPULimit : 300
% 0.12/5.40  % WCLimit  : 300
% 0.12/5.40  % DateTime : Mon Sep 21 15:07:10 UTC 2026
% 0.12/5.41  % CPUTime  : 
% 0.19/5.63  % Drodi V4.1.1
% 238.62/35.94  % Refutation found
% 238.62/35.94  % SZS status Theorem for theBenchmark: Theorem is valid
% 238.62/35.94  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 53.22/36.08  % Elapsed time: 30.659073 seconds
% 53.22/36.08  % CPU time: 241.003146 seconds
% 53.22/36.08  % Total memory used: 859.562 MB
% 53.22/36.08  % Net memory used: 811.642 MB
%------------------------------------------------------------------------------