↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR116+44 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n011.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 12:14:14 PM UTC 2026

% Result   : Theorem 98.72s 18.90s
% Output   : CNFRefutation 99.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   85 (  26 unt;  15 def)
%            Number of atoms       :  514 (   0 equ)
%            Maximal formula atoms :  173 (   6 avg)
%            Number of connectives :  665 ( 236   ~; 212   |; 202   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  173 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   38 (  37 usr;  16 prp; 0-3 aty)
%            Number of functors    :   46 (  46 usr;  46 con; 0-0 aty)
%            Number of variables   :  114 (  96   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( val(X6,s__374dafrika_0)
      & val(X2,nelson_0)
      & val(X1,mandela_0)
      & subr(X3,rprs_0)
      & sub(X6,name_1_1)
      & sub(X4,X8)
      & sub(X2,eigenname_1_1)
      & sub(X1,familiename_1_1)
      & rslt(X7,X3)
      & prop(X4,schwarz_1_1)
      & obj(X7,X0)
      & attr(X5,X6)
      & attr(X0,X2)
      & attr(X0,X1)
      & arg2(X3,X4)
      & arg1(X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( val(X6,s__374dafrika_0)
        & val(X2,nelson_0)
        & val(X1,mandela_0)
        & subr(X3,rprs_0)
        & sub(X6,name_1_1)
        & sub(X4,X8)
        & sub(X2,eigenname_1_1)
        & sub(X1,familiename_1_1)
        & rslt(X7,X3)
        & prop(X4,schwarz_1_1)
        & obj(X7,X0)
        & attr(X5,X6)
        & attr(X0,X2)
        & attr(X0,X1)
        & arg2(X3,X4)
        & arg1(X3,X0) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(pr__344sident_1_1,varia_c)
    & refer(pr__344sident_1_1,refer_c)
    & quant(pr__344sident_1_1,one)
    & gener(pr__344sident_1_1,ge)
    & fact(pr__344sident_1_1,real)
    & etype(pr__344sident_1_1,int0)
    & card(pr__344sident_1_1,int1)
    & sort(pr__344sident_1_1,d)
    & sort(mandela_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)
    & sort(nelson_0,fe)
    & varia(eigenname_1_1,varia_c)
    & refer(eigenname_1_1,refer_c)
    & quant(eigenname_1_1,one)
    & gener(eigenname_1_1,ge)
    & fact(eigenname_1_1,real)
    & etype(eigenname_1_1,int0)
    & card(eigenname_1_1,int1)
    & sort(eigenname_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(c8,varia_c)
    & refer(c8,indet)
    & quant(c8,one)
    & gener(c8,sp)
    & fact(c8,real)
    & etype(c8,int0)
    & card(c8,int1)
    & sort(c8,na)
    & varia(c7,varia_c)
    & refer(c7,indet)
    & quant(c7,one)
    & gener(c7,sp)
    & fact(c7,real)
    & etype(c7,int0)
    & card(c7,int1)
    & sort(c7,na)
    & gener(rprs_0,gener_c)
    & fact(rprs_0,real)
    & sort(rprs_0,st)
    & sort(s__374dafrika_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(land_1_1,varia_c)
    & refer(land_1_1,refer_c)
    & quant(land_1_1,one)
    & gener(land_1_1,ge)
    & fact(land_1_1,real)
    & etype(land_1_1,int0)
    & card(land_1_1,int1)
    & sort(land_1_1,io)
    & sort(land_1_1,d)
    & varia(c38,varia_c)
    & refer(c38,indet)
    & quant(c38,one)
    & gener(c38,sp)
    & fact(c38,real)
    & etype(c38,int0)
    & card(c38,int1)
    & sort(c38,na)
    & varia(c37,con)
    & refer(c37,det)
    & quant(c37,one)
    & gener(c37,sp)
    & fact(c37,real)
    & etype(c37,int0)
    & card(c37,int1)
    & sort(c37,io)
    & sort(c37,d)
    & gener(ernennen_1_2,ge)
    & fact(ernennen_1_2,real)
    & sort(ernennen_1_2,da)
    & gener(c42,sp)
    & fact(c42,real)
    & sort(c42,st)
    & varia(c6,con)
    & refer(c6,det)
    & quant(c6,one)
    & gener(c6,sp)
    & fact(c6,real)
    & etype(c6,int0)
    & card(c6,int1)
    & sort(c6,d)
    & gener(c27,sp)
    & fact(c27,real)
    & sort(c27,da)
    & varia(staatpr__344sident_1_1,varia_c)
    & refer(staatpr__344sident_1_1,refer_c)
    & quant(staatpr__344sident_1_1,one)
    & gener(staatpr__344sident_1_1,ge)
    & fact(staatpr__344sident_1_1,real)
    & etype(staatpr__344sident_1_1,int0)
    & card(staatpr__344sident_1_1,int1)
    & sort(staatpr__344sident_1_1,d)
    & card(erst_1_1,int1)
    & sort(erst_1_1,oq)
    & varia(c25,varia_c)
    & refer(c25,refer_c)
    & quant(c25,one)
    & gener(c25,ge)
    & fact(c25,real)
    & etype(c25,int0)
    & card(c25,int1)
    & sort(c25,d)
    & sort(schwarz_1_1,tq)
    & varia(c23,con)
    & refer(c23,det)
    & quant(c23,one)
    & gener(c23,sp)
    & fact(c23,real)
    & etype(c23,int0)
    & card(c23,int1)
    & sort(c23,d)
    & varia(montag__1_1,varia_c)
    & refer(montag__1_1,refer_c)
    & quant(montag__1_1,one)
    & gener(montag__1_1,ge)
    & fact(montag__1_1,real)
    & etype(montag__1_1,int0)
    & card(montag__1_1,int1)
    & sort(montag__1_1,ta)
    & varia(c16,con)
    & refer(c16,det)
    & quant(c16,one)
    & gener(c16,sp)
    & fact(c16,real)
    & etype(c16,int0)
    & card(c16,int1)
    & sort(c16,ta)
    & sub(staatpr__344sident_1_1,pr__344sident_1_1)
    & assoc(staatpr__344sident_1_1,land_1_1)
    & val(c8,mandela_0)
    & sub(c8,familiename_1_1)
    & val(c7,nelson_0)
    & sub(c7,eigenname_1_1)
    & sub(c6,mensch_1_1)
    & attr(c6,c8)
    & attr(c6,c7)
    & subr(c42,rprs_0)
    & arg2(c42,c23)
    & arg1(c42,c6)
    & val(c38,s__374dafrika_0)
    & sub(c38,name_1_1)
    & sub(c37,land_1_1)
    & attr(c37,c38)
    & attch(c37,c23)
    & temp(c27,c16)
    & subs(c27,ernennen_1_2)
    & rslt(c27,c42)
    & obj(c27,c6)
    & pmod(c25,erst_1_1,staatpr__344sident_1_1)
    & sub(c23,c25)
    & prop(c23,schwarz_1_1)
    & sub(c16,montag__1_1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ val(X6,s__374dafrika_0)
      | ~ val(X2,nelson_0)
      | ~ val(X1,mandela_0)
      | ~ subr(X3,rprs_0)
      | ~ sub(X6,name_1_1)
      | ~ sub(X4,X8)
      | ~ sub(X2,eigenname_1_1)
      | ~ sub(X1,familiename_1_1)
      | ~ rslt(X7,X3)
      | ~ prop(X4,schwarz_1_1)
      | ~ obj(X7,X0)
      | ~ attr(X5,X6)
      | ~ attr(X0,X2)
      | ~ attr(X0,X1)
      | ~ arg2(X3,X4)
      | ~ arg1(X3,X0) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X6] :
      ( ~ val(X6,s__374dafrika_0)
      | ! [X2] :
          ( ~ val(X2,nelson_0)
          | ! [X1] :
              ( ~ val(X1,mandela_0)
              | ! [X3] :
                  ( ~ subr(X3,rprs_0)
                  | ~ sub(X6,name_1_1)
                  | ! [X4] :
                      ( ! [X8] : ~ sub(X4,X8)
                      | ~ sub(X2,eigenname_1_1)
                      | ~ sub(X1,familiename_1_1)
                      | ! [X7] :
                          ( ~ rslt(X7,X3)
                          | ~ prop(X4,schwarz_1_1)
                          | ! [X0] :
                              ( ~ obj(X7,X0)
                              | ! [X5] : ~ attr(X5,X6)
                              | ~ attr(X0,X2)
                              | ~ attr(X0,X1)
                              | ~ arg2(X3,X4)
                              | ~ arg1(X3,X0) ) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ val(X6,s__374dafrika_0)
      | ~ val(X4,nelson_0)
      | ~ val(X3,mandela_0)
      | ~ subr(X0,rprs_0)
      | ~ sub(X6,name_1_1)
      | ~ sub(X2,X8)
      | ~ sub(X4,eigenname_1_1)
      | ~ sub(X3,familiename_1_1)
      | ~ rslt(X7,X0)
      | ~ prop(X2,schwarz_1_1)
      | ~ obj(X7,X1)
      | ~ attr(X5,X6)
      | ~ attr(X1,X4)
      | ~ attr(X1,X3)
      | ~ arg2(X0,X2)
      | ~ arg1(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20819,plain,
    prop(c23,schwarz_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20820,plain,
    sub(c23,c25),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20822,plain,
    obj(c27,c6),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20823,plain,
    rslt(c27,c42),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    attr(c37,c38),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20829,plain,
    sub(c38,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20830,plain,
    val(c38,s__374dafrika_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20831,plain,
    arg1(c42,c6),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20832,plain,
    arg2(c42,c23),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20833,plain,
    subr(c42,rprs_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20834,plain,
    attr(c6,c7),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20835,plain,
    attr(c6,c8),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20837,plain,
    sub(c7,eigenname_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20838,plain,
    val(c7,nelson_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20839,plain,
    sub(c8,familiename_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20840,plain,
    val(c8,mandela_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21026,definition,
    ! [X0,X1,X2,X3,X4,X7,X8] :
      ( sQ0_spl
    <=> ( ~ val(X4,nelson_0)
        | ~ val(X3,mandela_0)
        | ~ subr(X0,rprs_0)
        | ~ sub(X2,X8)
        | ~ sub(X4,eigenname_1_1)
        | ~ sub(X3,familiename_1_1)
        | ~ rslt(X7,X0)
        | ~ prop(X2,schwarz_1_1)
        | ~ obj(X7,X1)
        | ~ attr(X1,X4)
        | ~ attr(X1,X3)
        | ~ arg2(X0,X2)
        | ~ arg1(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21027,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ0_spl
      | ~ val(X2,nelson_0)
      | ~ prop(X5,schwarz_1_1)
      | ~ arg2(X4,X5)
      | ~ arg1(X4,X0)
      | ~ val(X1,mandela_0)
      | ~ attr(X0,X2)
      | ~ subr(X4,rprs_0)
      | ~ sub(X5,X6)
      | ~ obj(X3,X0)
      | ~ rslt(X3,X4)
      | ~ sub(X1,familiename_1_1)
      | ~ sub(X2,eigenname_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21026]) ).

fof(f21029,definition,
    ! [X5,X6] :
      ( sQ1_spl
    <=> ( ~ val(X6,s__374dafrika_0)
        | ~ sub(X6,name_1_1)
        | ~ attr(X5,X6) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21030,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,s__374dafrika_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21029]) ).

fof(f21032,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21026,f21029]) ).

fof(f21033,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ obj(X4,X0)
      | ~ arg2(X5,c23)
      | ~ subr(X5,rprs_0)
      | ~ attr(X0,X3)
      | ~ sub(X3,eigenname_1_1)
      | ~ sub(X1,familiename_1_1)
      | ~ arg1(X5,X0)
      | ~ rslt(X4,X5)
      | ~ val(X1,mandela_0)
      | ~ val(X3,nelson_0)
      | ~ sub(c23,X2)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f20819,f21027]) ).

fof(f21034,definition,
    ! [X0,X1,X3,X4,X5] :
      ( sQ2_spl
    <=> ( ~ obj(X4,X0)
        | ~ arg2(X5,c23)
        | ~ subr(X5,rprs_0)
        | ~ attr(X0,X3)
        | ~ sub(X3,eigenname_1_1)
        | ~ sub(X1,familiename_1_1)
        | ~ arg1(X5,X0)
        | ~ rslt(X4,X5)
        | ~ val(X1,mandela_0)
        | ~ val(X3,nelson_0)
        | ~ attr(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21035,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ2_spl
      | ~ arg2(X0,c23)
      | ~ attr(X1,X3)
      | ~ attr(X1,X4)
      | ~ val(X3,nelson_0)
      | ~ sub(X4,familiename_1_1)
      | ~ val(X4,mandela_0)
      | ~ obj(X2,X1)
      | ~ sub(X3,eigenname_1_1)
      | ~ rslt(X2,X0)
      | ~ arg1(X0,X1)
      | ~ subr(X0,rprs_0) ),
    inference(component_clause,[status(thm)],[f21034]) ).

fof(f21037,definition,
    ! [X2] :
      ( sQ3_spl
    <=> ~ sub(c23,X2) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f21038,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sub(c23,X0) ),
    inference(component_clause,[status(thm)],[f21037]) ).

fof(f21040,plain,
    ( ~ sQ0_spl
    | sQ3_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f21033,f21034,f21037,f21026]) ).

fof(f21045,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ val(c38,s__374dafrika_0)
      | ~ attr(X0,c38) ),
    inference(resolution,[status(thm)],[f20829,f21030]) ).

fof(f21047,definition,
    ! [X0] :
      ( sQ4_spl
    <=> ~ attr(X0,c38) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21048,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ attr(X0,c38) ),
    inference(component_clause,[status(thm)],[f21047]) ).

fof(f21050,definition,
    ( sQ5_spl
  <=> val(c38,s__374dafrika_0) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21052,plain,
    ( sQ5_spl
    | ~ val(c38,s__374dafrika_0) ),
    inference(component_clause,[status(thm)],[f21050]) ).

fof(f21053,plain,
    ( ~ sQ1_spl
    | ~ sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f21045,f21047,f21050,f21029]) ).

fof(f21054,plain,
    ( sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21052,f20830]) ).

fof(f21055,plain,
    sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21054]) ).

fof(f21056,plain,
    ( ~ sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20827,f21048]) ).

fof(f21057,plain,
    ~ sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21056]) ).

fof(f21062,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ2_spl
      | ~ arg2(X0,c23)
      | ~ attr(X1,c7)
      | ~ attr(X1,X3)
      | ~ val(c7,nelson_0)
      | ~ sub(X3,familiename_1_1)
      | ~ val(X3,mandela_0)
      | ~ obj(X2,X1)
      | ~ rslt(X2,X0)
      | ~ arg1(X0,X1)
      | ~ subr(X0,rprs_0) ),
    inference(resolution,[status(thm)],[f20837,f21035]) ).

fof(f21067,definition,
    ( sQ7_spl
  <=> val(c7,nelson_0) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f21069,plain,
    ( sQ7_spl
    | ~ val(c7,nelson_0) ),
    inference(component_clause,[status(thm)],[f21067]) ).

fof(f21071,definition,
    ! [X0,X1,X2,X3] :
      ( sQ8_spl
    <=> ( ~ arg2(X0,c23)
        | ~ attr(X1,c7)
        | ~ attr(X1,X3)
        | ~ sub(X3,familiename_1_1)
        | ~ val(X3,mandela_0)
        | ~ obj(X2,X1)
        | ~ rslt(X2,X0)
        | ~ arg1(X0,X1)
        | ~ subr(X0,rprs_0) ) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f21072,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ8_spl
      | ~ val(X0,mandela_0)
      | ~ attr(X2,c7)
      | ~ rslt(X3,X1)
      | ~ obj(X3,X2)
      | ~ arg1(X1,X2)
      | ~ attr(X2,X0)
      | ~ arg2(X1,c23)
      | ~ subr(X1,rprs_0)
      | ~ sub(X0,familiename_1_1) ),
    inference(component_clause,[status(thm)],[f21071]) ).

fof(f21074,plain,
    ( ~ sQ2_spl
    | ~ sQ7_spl
    | sQ8_spl ),
    inference(split_clause,[status(thm)],[f21062,f21071,f21067,f21034]) ).

fof(f21075,plain,
    ( sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21069,f20838]) ).

fof(f21076,plain,
    sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f21075]) ).

fof(f21101,definition,
    ! [X0,X3,X4] :
      ( sQ12_spl
    <=> ( ~ rslt(X4,c42)
        | ~ attr(X3,c7)
        | ~ arg1(c42,X3)
        | ~ obj(X4,X3)
        | ~ attr(X3,X0)
        | ~ sub(X0,familiename_1_1)
        | ~ val(X0,mandela_0) ) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f21102,plain,
    ! [X0,X1,X2] :
      ( ~ sQ12_spl
      | ~ arg1(c42,X1)
      | ~ attr(X1,c7)
      | ~ obj(X2,X1)
      | ~ sub(X0,familiename_1_1)
      | ~ rslt(X2,c42)
      | ~ attr(X1,X0)
      | ~ val(X0,mandela_0) ),
    inference(component_clause,[status(thm)],[f21101]) ).

fof(f21108,plain,
    ! [X0,X1] :
      ( ~ sQ12_spl
      | ~ attr(X0,c7)
      | ~ obj(X1,X0)
      | ~ arg1(c42,X0)
      | ~ rslt(X1,c42)
      | ~ val(c8,mandela_0)
      | ~ attr(X0,c8) ),
    inference(resolution,[status(thm)],[f21102,f20839]) ).

fof(f21109,definition,
    ! [X0,X1] :
      ( sQ14_spl
    <=> ( ~ attr(X0,c7)
        | ~ obj(X1,X0)
        | ~ arg1(c42,X0)
        | ~ rslt(X1,c42)
        | ~ attr(X0,c8) ) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f21110,plain,
    ! [X0,X1] :
      ( ~ sQ14_spl
      | ~ arg1(c42,X0)
      | ~ attr(X0,c7)
      | ~ obj(X1,X0)
      | ~ rslt(X1,c42)
      | ~ attr(X0,c8) ),
    inference(component_clause,[status(thm)],[f21109]) ).

fof(f21112,definition,
    ( sQ15_spl
  <=> val(c8,mandela_0) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f21114,plain,
    ( sQ15_spl
    | ~ val(c8,mandela_0) ),
    inference(component_clause,[status(thm)],[f21112]) ).

fof(f21115,plain,
    ( ~ sQ12_spl
    | ~ sQ15_spl
    | sQ14_spl ),
    inference(split_clause,[status(thm)],[f21108,f21109,f21112,f21101]) ).

fof(f21116,plain,
    ( sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21114,f20840]) ).

fof(f21117,plain,
    sQ15_spl,
    inference(contradiction_clause,[status(thm)],[f21116]) ).

fof(f21118,plain,
    ! [X0] :
      ( ~ sQ14_spl
      | ~ arg1(c42,c6)
      | ~ obj(X0,c6)
      | ~ rslt(X0,c42)
      | ~ attr(c6,c8) ),
    inference(resolution,[status(thm)],[f21110,f20834]) ).

fof(f21120,definition,
    ( sQ16_spl
  <=> attr(c6,c8) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f21122,plain,
    ( sQ16_spl
    | ~ attr(c6,c8) ),
    inference(component_clause,[status(thm)],[f21120]) ).

fof(f21123,definition,
    ! [X0] :
      ( sQ17_spl
    <=> ( ~ obj(X0,c6)
        | ~ rslt(X0,c42) ) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f21124,plain,
    ! [X0] :
      ( ~ sQ17_spl
      | ~ rslt(X0,c42)
      | ~ obj(X0,c6) ),
    inference(component_clause,[status(thm)],[f21123]) ).

fof(f21130,definition,
    ( sQ19_spl
  <=> arg1(c42,c6) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f21132,plain,
    ( sQ19_spl
    | ~ arg1(c42,c6) ),
    inference(component_clause,[status(thm)],[f21130]) ).

fof(f21133,plain,
    ( ~ sQ14_spl
    | ~ sQ19_spl
    | sQ17_spl
    | ~ sQ16_spl ),
    inference(split_clause,[status(thm)],[f21118,f21120,f21123,f21130,f21109]) ).

fof(f21134,plain,
    ( sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21122,f20835]) ).

fof(f21135,plain,
    sQ16_spl,
    inference(contradiction_clause,[status(thm)],[f21134]) ).

fof(f21138,plain,
    ( sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21132,f20831]) ).

fof(f21139,plain,
    sQ19_spl,
    inference(contradiction_clause,[status(thm)],[f21138]) ).

fof(f21147,plain,
    ! [X0,X1,X2] :
      ( ~ sQ8_spl
      | ~ val(X0,mandela_0)
      | ~ attr(X1,c7)
      | ~ rslt(X2,c42)
      | ~ obj(X2,X1)
      | ~ arg1(c42,X1)
      | ~ attr(X1,X0)
      | ~ subr(c42,rprs_0)
      | ~ sub(X0,familiename_1_1) ),
    inference(resolution,[status(thm)],[f20832,f21072]) ).

fof(f21148,definition,
    ( sQ20_spl
  <=> subr(c42,rprs_0) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f21150,plain,
    ( sQ20_spl
    | ~ subr(c42,rprs_0) ),
    inference(component_clause,[status(thm)],[f21148]) ).

fof(f21151,plain,
    ( ~ sQ8_spl
    | ~ sQ20_spl
    | sQ12_spl ),
    inference(split_clause,[status(thm)],[f21147,f21101,f21148,f21071]) ).

fof(f21158,plain,
    ( sQ20_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21150,f20833]) ).

fof(f21159,plain,
    sQ20_spl,
    inference(contradiction_clause,[status(thm)],[f21158]) ).

fof(f21167,plain,
    ( ~ sQ17_spl
    | ~ obj(c27,c6) ),
    inference(resolution,[status(thm)],[f20823,f21124]) ).

fof(f21168,plain,
    ( ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21167,f20822]) ).

fof(f21169,plain,
    ~ sQ17_spl,
    inference(contradiction_clause,[status(thm)],[f21168]) ).

fof(f25885,plain,
    ( ~ sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20820,f21038]) ).

fof(f25886,plain,
    ~ sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f25885]) ).

fof(f25887,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21032,f21040,f21053,f21055,f21057,f21074,f21076,f21115,f21117,f21133,f21135,f21139,f21151,f21159,f21169,f25886]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR116+44 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.47  % Computer : n011.cluster.edu
% 0.18/5.47  % Model    : x86_64 x86_64
% 0.18/5.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.47  % Memory   : 8046.5625MB
% 0.18/5.47  % OS       : Linux 6.8.0-71-generic
% 0.18/5.47  % CPULimit : 300
% 0.18/5.47  % WCLimit  : 300
% 0.18/5.47  % DateTime : Mon Sep 21 15:09:46 UTC 2026
% 0.18/5.47  % CPUTime  : 
% 0.24/5.68  % Drodi V4.1.1
% 98.72/18.90  % Refutation found
% 98.72/18.90  % SZS status Theorem for theBenchmark: Theorem is valid
% 98.72/18.90  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.11/19.43  % Elapsed time: 13.945190 seconds
% 5.11/19.43  % CPU time: 100.208728 seconds
% 5.11/19.43  % Total memory used: 638.075 MB
% 5.11/19.43  % Net memory used: 607.805 MB
%------------------------------------------------------------------------------