TSTP Solution File: CSR116+40 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR116+40 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art07.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 08:01:29 EST 2010

% Result   : Theorem 1.41s
% Output   : CNFRefutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   84 (  22 unt;   0 def)
%            Number of atoms       :  617 (   0 equ)
%            Maximal formula atoms :  192 (   7 avg)
%            Number of connectives :  823 ( 290   ~; 265   |; 263   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  192 (   9 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   29 (  28 usr;   4 prp; 0-4 aty)
%            Number of functors    :   57 (  57 usr;  53 con; 0-3 aty)
%            Number of variables   :  204 (  28 sgn  61   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(3,axiom,
    ! [X1,X2,X3] :
      ( ( arg1(X1,X2)
        & arg2(X1,X3)
        & subs(X1,hei__337en_1_1) )
     => ? [X4,X5] :
          ( arg1(X5,X2)
          & arg2(X5,X3)
          & hsit(X1,X4)
          & mcont(X4,X5)
          & obj(X4,X2)
          & subr(X5,rprs_0)
          & subs(X4,bezeichnen_1_1) ) ),
    file('/tmp/tmpqHty_F/sel_CSR116+40.p_1',hei__337en_1_1__bezeichnen_1_1_als) ).

fof(7,axiom,
    ! [X1,X2,X3] :
      ( ( attr(X3,X1)
        & member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        & sub(X1,X2) )
     => ? [X4] :
          ( arg1(X4,X3)
          & arg2(X4,X3)
          & subs(X4,hei__337en_1_1) ) ),
    file('/tmp/tmpqHty_F/sel_CSR116+40.p_1',attr_name_hei__337en_1_1) ).

fof(22,axiom,
    ! [X1,X2] : member(X1,cons(X1,X2)),
    file('/tmp/tmpqHty_F/sel_CSR116+40.p_1',member_first) ).

fof(65,axiom,
    ( sspe(c338,c451)
    & subs(c338,kr__366nung_1_2)
    & sub(c451,lebenswerk_1_1)
    & attr(c461,c462)
    & attr(c461,c463)
    & sub(c461,mensch_1_1)
    & sub(c462,eigenname_1_1)
    & val(c462,nelson_0)
    & sub(c463,familiename_1_1)
    & val(c463,mandela_0)
    & prop(c474,schwarz_1_1)
    & sub(c474,c476)
    & pmod(c476,erst_1_1,pr__344sident_1_1)
    & attch(c481,c474)
    & attr(c481,c482)
    & sub(c481,land_1_1)
    & sub(c482,name_1_1)
    & val(c482,s__374dafrika_0)
    & tupl_p4(c485,c338,c461,c474)
    & assoc(lebenswerk_1_1,leben_1_1)
    & sub(lebenswerk_1_1,artefakt_1_1)
    & sort(c338,as)
    & card(c338,int1)
    & etype(c338,int0)
    & fact(c338,real)
    & gener(c338,sp)
    & quant(c338,one)
    & refer(c338,det)
    & varia(c338,con)
    & sort(c451,d)
    & sort(c451,io)
    & card(c451,int1)
    & etype(c451,int0)
    & fact(c451,real)
    & gener(c451,sp)
    & quant(c451,one)
    & refer(c451,indet)
    & varia(c451,varia_c)
    & sort(kr__366nung_1_2,as)
    & card(kr__366nung_1_2,int1)
    & etype(kr__366nung_1_2,int0)
    & fact(kr__366nung_1_2,real)
    & gener(kr__366nung_1_2,ge)
    & quant(kr__366nung_1_2,one)
    & refer(kr__366nung_1_2,refer_c)
    & varia(kr__366nung_1_2,varia_c)
    & sort(lebenswerk_1_1,d)
    & sort(lebenswerk_1_1,io)
    & card(lebenswerk_1_1,int1)
    & etype(lebenswerk_1_1,int0)
    & fact(lebenswerk_1_1,real)
    & gener(lebenswerk_1_1,ge)
    & quant(lebenswerk_1_1,one)
    & refer(lebenswerk_1_1,refer_c)
    & varia(lebenswerk_1_1,varia_c)
    & sort(c461,d)
    & card(c461,int1)
    & etype(c461,int0)
    & fact(c461,real)
    & gener(c461,sp)
    & quant(c461,one)
    & refer(c461,det)
    & varia(c461,con)
    & sort(c462,na)
    & card(c462,int1)
    & etype(c462,int0)
    & fact(c462,real)
    & gener(c462,sp)
    & quant(c462,one)
    & refer(c462,indet)
    & varia(c462,varia_c)
    & sort(c463,na)
    & card(c463,int1)
    & etype(c463,int0)
    & fact(c463,real)
    & gener(c463,sp)
    & quant(c463,one)
    & refer(c463,indet)
    & varia(c463,varia_c)
    & sort(mensch_1_1,d)
    & card(mensch_1_1,int1)
    & etype(mensch_1_1,int0)
    & fact(mensch_1_1,real)
    & gener(mensch_1_1,ge)
    & quant(mensch_1_1,one)
    & refer(mensch_1_1,refer_c)
    & varia(mensch_1_1,varia_c)
    & sort(eigenname_1_1,na)
    & card(eigenname_1_1,int1)
    & etype(eigenname_1_1,int0)
    & fact(eigenname_1_1,real)
    & gener(eigenname_1_1,ge)
    & quant(eigenname_1_1,one)
    & refer(eigenname_1_1,refer_c)
    & varia(eigenname_1_1,varia_c)
    & sort(nelson_0,fe)
    & sort(familiename_1_1,na)
    & card(familiename_1_1,int1)
    & etype(familiename_1_1,int0)
    & fact(familiename_1_1,real)
    & gener(familiename_1_1,ge)
    & quant(familiename_1_1,one)
    & refer(familiename_1_1,refer_c)
    & varia(familiename_1_1,varia_c)
    & sort(mandela_0,fe)
    & sort(c474,d)
    & card(c474,int1)
    & etype(c474,int0)
    & fact(c474,real)
    & gener(c474,sp)
    & quant(c474,one)
    & refer(c474,det)
    & varia(c474,con)
    & sort(schwarz_1_1,tq)
    & sort(c476,d)
    & card(c476,int1)
    & etype(c476,int0)
    & fact(c476,real)
    & gener(c476,ge)
    & quant(c476,one)
    & refer(c476,refer_c)
    & varia(c476,varia_c)
    & sort(erst_1_1,oq)
    & card(erst_1_1,int1)
    & sort(pr__344sident_1_1,d)
    & card(pr__344sident_1_1,int1)
    & etype(pr__344sident_1_1,int0)
    & fact(pr__344sident_1_1,real)
    & gener(pr__344sident_1_1,ge)
    & quant(pr__344sident_1_1,one)
    & refer(pr__344sident_1_1,refer_c)
    & varia(pr__344sident_1_1,varia_c)
    & sort(c481,d)
    & sort(c481,io)
    & card(c481,int1)
    & etype(c481,int0)
    & fact(c481,real)
    & gener(c481,sp)
    & quant(c481,one)
    & refer(c481,det)
    & varia(c481,con)
    & sort(c482,na)
    & card(c482,int1)
    & etype(c482,int0)
    & fact(c482,real)
    & gener(c482,sp)
    & quant(c482,one)
    & refer(c482,indet)
    & varia(c482,varia_c)
    & sort(land_1_1,d)
    & sort(land_1_1,io)
    & card(land_1_1,int1)
    & etype(land_1_1,int0)
    & fact(land_1_1,real)
    & gener(land_1_1,ge)
    & quant(land_1_1,one)
    & refer(land_1_1,refer_c)
    & varia(land_1_1,varia_c)
    & sort(name_1_1,na)
    & card(name_1_1,int1)
    & etype(name_1_1,int0)
    & fact(name_1_1,real)
    & gener(name_1_1,ge)
    & quant(name_1_1,one)
    & refer(name_1_1,refer_c)
    & varia(name_1_1,varia_c)
    & sort(s__374dafrika_0,fe)
    & sort(c485,ent)
    & card(c485,card_c)
    & etype(c485,etype_c)
    & fact(c485,real)
    & gener(c485,gener_c)
    & quant(c485,quant_c)
    & refer(c485,refer_c)
    & varia(c485,varia_c)
    & sort(leben_1_1,ad)
    & card(leben_1_1,int1)
    & etype(leben_1_1,int0)
    & fact(leben_1_1,real)
    & gener(leben_1_1,ge)
    & quant(leben_1_1,one)
    & refer(leben_1_1,refer_c)
    & varia(leben_1_1,varia_c)
    & sort(artefakt_1_1,d)
    & sort(artefakt_1_1,io)
    & card(artefakt_1_1,int1)
    & etype(artefakt_1_1,int0)
    & fact(artefakt_1_1,real)
    & gener(artefakt_1_1,ge)
    & quant(artefakt_1_1,one)
    & refer(artefakt_1_1,refer_c)
    & varia(artefakt_1_1,varia_c) ),
    file('/tmp/tmpqHty_F/sel_CSR116+40.p_1',ave07_era5_synth_qa07_010_mn3_278) ).

fof(66,conjecture,
    ? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( pmod(X9,erst_1_1,pr__344sident_1_1)
      & arg1(X4,X1)
      & attr(X1,X2)
      & attr(X1,X3)
      & attr(X6,X7)
      & obj(X8,X1)
      & prop(X5,schwarz_1_1)
      & sub(X2,familiename_1_1)
      & sub(X3,eigenname_1_1)
      & sub(X5,X9)
      & sub(X7,name_1_1)
      & subr(X4,rprs_0)
      & val(X2,mandela_0)
      & val(X3,nelson_0)
      & val(X7,s__374dafrika_0) ),
    file('/tmp/tmpqHty_F/sel_CSR116+40.p_1',synth_qa07_010_mn3_278) ).

fof(67,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
        ( pmod(X9,erst_1_1,pr__344sident_1_1)
        & arg1(X4,X1)
        & attr(X1,X2)
        & attr(X1,X3)
        & attr(X6,X7)
        & obj(X8,X1)
        & prop(X5,schwarz_1_1)
        & sub(X2,familiename_1_1)
        & sub(X3,eigenname_1_1)
        & sub(X5,X9)
        & sub(X7,name_1_1)
        & subr(X4,rprs_0)
        & val(X2,mandela_0)
        & val(X3,nelson_0)
        & val(X7,s__374dafrika_0) ),
    inference(assume_negation,[status(cth)],[66]) ).

fof(77,plain,
    ! [X1,X2,X3] :
      ( ~ arg1(X1,X2)
      | ~ arg2(X1,X3)
      | ~ subs(X1,hei__337en_1_1)
      | ? [X4,X5] :
          ( arg1(X5,X2)
          & arg2(X5,X3)
          & hsit(X1,X4)
          & mcont(X4,X5)
          & obj(X4,X2)
          & subr(X5,rprs_0)
          & subs(X4,bezeichnen_1_1) ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(78,plain,
    ! [X6,X7,X8] :
      ( ~ arg1(X6,X7)
      | ~ arg2(X6,X8)
      | ~ subs(X6,hei__337en_1_1)
      | ? [X9,X10] :
          ( arg1(X10,X7)
          & arg2(X10,X8)
          & hsit(X6,X9)
          & mcont(X9,X10)
          & obj(X9,X7)
          & subr(X10,rprs_0)
          & subs(X9,bezeichnen_1_1) ) ),
    inference(variable_rename,[status(thm)],[77]) ).

fof(79,plain,
    ! [X6,X7,X8] :
      ( ~ arg1(X6,X7)
      | ~ arg2(X6,X8)
      | ~ subs(X6,hei__337en_1_1)
      | ( arg1(esk3_3(X6,X7,X8),X7)
        & arg2(esk3_3(X6,X7,X8),X8)
        & hsit(X6,esk2_3(X6,X7,X8))
        & mcont(esk2_3(X6,X7,X8),esk3_3(X6,X7,X8))
        & obj(esk2_3(X6,X7,X8),X7)
        & subr(esk3_3(X6,X7,X8),rprs_0)
        & subs(esk2_3(X6,X7,X8),bezeichnen_1_1) ) ),
    inference(skolemize,[status(esa)],[78]) ).

fof(80,plain,
    ! [X6,X7,X8] :
      ( ( arg1(esk3_3(X6,X7,X8),X7)
        | ~ arg1(X6,X7)
        | ~ arg2(X6,X8)
        | ~ subs(X6,hei__337en_1_1) )
      & ( arg2(esk3_3(X6,X7,X8),X8)
        | ~ arg1(X6,X7)
        | ~ arg2(X6,X8)
        | ~ subs(X6,hei__337en_1_1) )
      & ( hsit(X6,esk2_3(X6,X7,X8))
        | ~ arg1(X6,X7)
        | ~ arg2(X6,X8)
        | ~ subs(X6,hei__337en_1_1) )
      & ( mcont(esk2_3(X6,X7,X8),esk3_3(X6,X7,X8))
        | ~ arg1(X6,X7)
        | ~ arg2(X6,X8)
        | ~ subs(X6,hei__337en_1_1) )
      & ( obj(esk2_3(X6,X7,X8),X7)
        | ~ arg1(X6,X7)
        | ~ arg2(X6,X8)
        | ~ subs(X6,hei__337en_1_1) )
      & ( subr(esk3_3(X6,X7,X8),rprs_0)
        | ~ arg1(X6,X7)
        | ~ arg2(X6,X8)
        | ~ subs(X6,hei__337en_1_1) )
      & ( subs(esk2_3(X6,X7,X8),bezeichnen_1_1)
        | ~ arg1(X6,X7)
        | ~ arg2(X6,X8)
        | ~ subs(X6,hei__337en_1_1) ) ),
    inference(distribute,[status(thm)],[79]) ).

cnf(82,plain,
    ( subr(esk3_3(X1,X3,X2),rprs_0)
    | ~ subs(X1,hei__337en_1_1)
    | ~ arg2(X1,X2)
    | ~ arg1(X1,X3) ),
    inference(split_conjunct,[status(thm)],[80]) ).

cnf(83,plain,
    ( obj(esk2_3(X1,X3,X2),X3)
    | ~ subs(X1,hei__337en_1_1)
    | ~ arg2(X1,X2)
    | ~ arg1(X1,X3) ),
    inference(split_conjunct,[status(thm)],[80]) ).

cnf(87,plain,
    ( arg1(esk3_3(X1,X3,X2),X3)
    | ~ subs(X1,hei__337en_1_1)
    | ~ arg2(X1,X2)
    | ~ arg1(X1,X3) ),
    inference(split_conjunct,[status(thm)],[80]) ).

fof(95,plain,
    ! [X1,X2,X3] :
      ( ~ attr(X3,X1)
      | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X1,X2)
      | ? [X4] :
          ( arg1(X4,X3)
          & arg2(X4,X3)
          & subs(X4,hei__337en_1_1) ) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(96,plain,
    ! [X5,X6,X7] :
      ( ~ attr(X7,X5)
      | ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X5,X6)
      | ? [X8] :
          ( arg1(X8,X7)
          & arg2(X8,X7)
          & subs(X8,hei__337en_1_1) ) ),
    inference(variable_rename,[status(thm)],[95]) ).

fof(97,plain,
    ! [X5,X6,X7] :
      ( ~ attr(X7,X5)
      | ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X5,X6)
      | ( arg1(esk4_3(X5,X6,X7),X7)
        & arg2(esk4_3(X5,X6,X7),X7)
        & subs(esk4_3(X5,X6,X7),hei__337en_1_1) ) ),
    inference(skolemize,[status(esa)],[96]) ).

fof(98,plain,
    ! [X5,X6,X7] :
      ( ( arg1(esk4_3(X5,X6,X7),X7)
        | ~ attr(X7,X5)
        | ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X5,X6) )
      & ( arg2(esk4_3(X5,X6,X7),X7)
        | ~ attr(X7,X5)
        | ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X5,X6) )
      & ( subs(esk4_3(X5,X6,X7),hei__337en_1_1)
        | ~ attr(X7,X5)
        | ~ member(X6,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X5,X6) ) ),
    inference(distribute,[status(thm)],[97]) ).

cnf(99,plain,
    ( subs(esk4_3(X1,X2,X3),hei__337en_1_1)
    | ~ sub(X1,X2)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(X3,X1) ),
    inference(split_conjunct,[status(thm)],[98]) ).

cnf(100,plain,
    ( arg2(esk4_3(X1,X2,X3),X3)
    | ~ sub(X1,X2)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(X3,X1) ),
    inference(split_conjunct,[status(thm)],[98]) ).

cnf(101,plain,
    ( arg1(esk4_3(X1,X2,X3),X3)
    | ~ sub(X1,X2)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(X3,X1) ),
    inference(split_conjunct,[status(thm)],[98]) ).

fof(145,plain,
    ! [X3,X4] : member(X3,cons(X3,X4)),
    inference(variable_rename,[status(thm)],[22]) ).

cnf(146,plain,
    member(X1,cons(X1,X2)),
    inference(split_conjunct,[status(thm)],[145]) ).

cnf(408,plain,
    val(c482,s__374dafrika_0),
    inference(split_conjunct,[status(thm)],[65]) ).

cnf(409,plain,
    sub(c482,name_1_1),
    inference(split_conjunct,[status(thm)],[65]) ).

cnf(411,plain,
    attr(c481,c482),
    inference(split_conjunct,[status(thm)],[65]) ).

cnf(413,plain,
    pmod(c476,erst_1_1,pr__344sident_1_1),
    inference(split_conjunct,[status(thm)],[65]) ).

cnf(414,plain,
    sub(c474,c476),
    inference(split_conjunct,[status(thm)],[65]) ).

cnf(415,plain,
    prop(c474,schwarz_1_1),
    inference(split_conjunct,[status(thm)],[65]) ).

cnf(416,plain,
    val(c463,mandela_0),
    inference(split_conjunct,[status(thm)],[65]) ).

cnf(417,plain,
    sub(c463,familiename_1_1),
    inference(split_conjunct,[status(thm)],[65]) ).

cnf(418,plain,
    val(c462,nelson_0),
    inference(split_conjunct,[status(thm)],[65]) ).

cnf(419,plain,
    sub(c462,eigenname_1_1),
    inference(split_conjunct,[status(thm)],[65]) ).

cnf(421,plain,
    attr(c461,c463),
    inference(split_conjunct,[status(thm)],[65]) ).

cnf(422,plain,
    attr(c461,c462),
    inference(split_conjunct,[status(thm)],[65]) ).

fof(426,negated_conjecture,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ pmod(X9,erst_1_1,pr__344sident_1_1)
      | ~ arg1(X4,X1)
      | ~ attr(X1,X2)
      | ~ attr(X1,X3)
      | ~ attr(X6,X7)
      | ~ obj(X8,X1)
      | ~ prop(X5,schwarz_1_1)
      | ~ sub(X2,familiename_1_1)
      | ~ sub(X3,eigenname_1_1)
      | ~ sub(X5,X9)
      | ~ sub(X7,name_1_1)
      | ~ subr(X4,rprs_0)
      | ~ val(X2,mandela_0)
      | ~ val(X3,nelson_0)
      | ~ val(X7,s__374dafrika_0) ),
    inference(fof_nnf,[status(thm)],[67]) ).

fof(427,negated_conjecture,
    ! [X10,X11,X12,X13,X14,X15,X16,X17,X18] :
      ( ~ pmod(X18,erst_1_1,pr__344sident_1_1)
      | ~ arg1(X13,X10)
      | ~ attr(X10,X11)
      | ~ attr(X10,X12)
      | ~ attr(X15,X16)
      | ~ obj(X17,X10)
      | ~ prop(X14,schwarz_1_1)
      | ~ sub(X11,familiename_1_1)
      | ~ sub(X12,eigenname_1_1)
      | ~ sub(X14,X18)
      | ~ sub(X16,name_1_1)
      | ~ subr(X13,rprs_0)
      | ~ val(X11,mandela_0)
      | ~ val(X12,nelson_0)
      | ~ val(X16,s__374dafrika_0) ),
    inference(variable_rename,[status(thm)],[426]) ).

cnf(428,negated_conjecture,
    ( ~ val(X1,s__374dafrika_0)
    | ~ val(X2,nelson_0)
    | ~ val(X3,mandela_0)
    | ~ subr(X4,rprs_0)
    | ~ sub(X1,name_1_1)
    | ~ sub(X5,X6)
    | ~ sub(X2,eigenname_1_1)
    | ~ sub(X3,familiename_1_1)
    | ~ prop(X5,schwarz_1_1)
    | ~ obj(X7,X8)
    | ~ attr(X9,X1)
    | ~ attr(X8,X2)
    | ~ attr(X8,X3)
    | ~ arg1(X4,X8)
    | ~ pmod(X6,erst_1_1,pr__344sident_1_1) ),
    inference(split_conjunct,[status(thm)],[427]) ).

fof(584,plain,
    ( ~ epred1_0
  <=> ! [X5,X6] :
        ( ~ sub(X5,X6)
        | ~ prop(X5,schwarz_1_1)
        | ~ pmod(X6,erst_1_1,pr__344sident_1_1) ) ),
    introduced(definition),
    [split] ).

cnf(585,plain,
    ( epred1_0
    | ~ sub(X5,X6)
    | ~ prop(X5,schwarz_1_1)
    | ~ pmod(X6,erst_1_1,pr__344sident_1_1) ),
    inference(split_equiv,[status(thm)],[584]) ).

fof(586,plain,
    ( ~ epred2_0
  <=> ! [X4,X8,X2,X7,X3] :
        ( ~ arg1(X4,X8)
        | ~ obj(X7,X8)
        | ~ subr(X4,rprs_0)
        | ~ attr(X8,X2)
        | ~ attr(X8,X3)
        | ~ sub(X2,eigenname_1_1)
        | ~ sub(X3,familiename_1_1)
        | ~ val(X2,nelson_0)
        | ~ val(X3,mandela_0) ) ),
    introduced(definition),
    [split] ).

cnf(587,plain,
    ( epred2_0
    | ~ arg1(X4,X8)
    | ~ obj(X7,X8)
    | ~ subr(X4,rprs_0)
    | ~ attr(X8,X2)
    | ~ attr(X8,X3)
    | ~ sub(X2,eigenname_1_1)
    | ~ sub(X3,familiename_1_1)
    | ~ val(X2,nelson_0)
    | ~ val(X3,mandela_0) ),
    inference(split_equiv,[status(thm)],[586]) ).

fof(588,plain,
    ( ~ epred3_0
  <=> ! [X9,X1] :
        ( ~ attr(X9,X1)
        | ~ sub(X1,name_1_1)
        | ~ val(X1,s__374dafrika_0) ) ),
    introduced(definition),
    [split] ).

cnf(589,plain,
    ( epred3_0
    | ~ attr(X9,X1)
    | ~ sub(X1,name_1_1)
    | ~ val(X1,s__374dafrika_0) ),
    inference(split_equiv,[status(thm)],[588]) ).

cnf(590,negated_conjecture,
    ( ~ epred3_0
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[428,584,theory(equality)]),586,theory(equality)]),588,theory(equality)]),
    [split] ).

cnf(591,plain,
    ( arg1(esk4_3(X1,eigenname_1_1,X2),X2)
    | ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,X1) ),
    inference(spm,[status(thm)],[101,146,theory(equality)]) ).

cnf(593,plain,
    ( arg2(esk4_3(X1,eigenname_1_1,X2),X2)
    | ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,X1) ),
    inference(spm,[status(thm)],[100,146,theory(equality)]) ).

cnf(595,plain,
    ( subs(esk4_3(X1,eigenname_1_1,X2),hei__337en_1_1)
    | ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,X1) ),
    inference(spm,[status(thm)],[99,146,theory(equality)]) ).

cnf(597,plain,
    ( epred3_0
    | ~ sub(c482,name_1_1)
    | ~ attr(X1,c482) ),
    inference(spm,[status(thm)],[589,408,theory(equality)]) ).

cnf(599,plain,
    ( epred3_0
    | $false
    | ~ attr(X1,c482) ),
    inference(rw,[status(thm)],[597,409,theory(equality)]) ).

cnf(600,plain,
    ( epred3_0
    | ~ attr(X1,c482) ),
    inference(cn,[status(thm)],[599,theory(equality)]) ).

cnf(601,plain,
    epred3_0,
    inference(spm,[status(thm)],[600,411,theory(equality)]) ).

cnf(604,negated_conjecture,
    ( $false
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[590,601,theory(equality)]) ).

cnf(605,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[604,theory(equality)]) ).

cnf(606,plain,
    ( epred1_0
    | ~ prop(X1,schwarz_1_1)
    | ~ sub(X1,c476) ),
    inference(spm,[status(thm)],[585,413,theory(equality)]) ).

cnf(607,plain,
    ( epred1_0
    | ~ sub(c474,c476) ),
    inference(spm,[status(thm)],[606,415,theory(equality)]) ).

cnf(608,plain,
    ( epred1_0
    | $false ),
    inference(rw,[status(thm)],[607,414,theory(equality)]) ).

cnf(609,plain,
    epred1_0,
    inference(cn,[status(thm)],[608,theory(equality)]) ).

cnf(612,negated_conjecture,
    ( ~ epred2_0
    | $false ),
    inference(rw,[status(thm)],[605,609,theory(equality)]) ).

cnf(613,negated_conjecture,
    ~ epred2_0,
    inference(cn,[status(thm)],[612,theory(equality)]) ).

cnf(614,negated_conjecture,
    ( ~ arg1(X4,X8)
    | ~ obj(X7,X8)
    | ~ subr(X4,rprs_0)
    | ~ attr(X8,X2)
    | ~ attr(X8,X3)
    | ~ sub(X2,eigenname_1_1)
    | ~ sub(X3,familiename_1_1)
    | ~ val(X2,nelson_0)
    | ~ val(X3,mandela_0) ),
    inference(sr,[status(thm)],[587,613,theory(equality)]) ).

cnf(615,plain,
    ( ~ val(X1,mandela_0)
    | ~ sub(c462,eigenname_1_1)
    | ~ sub(X1,familiename_1_1)
    | ~ attr(X2,c462)
    | ~ attr(X2,X1)
    | ~ subr(X3,rprs_0)
    | ~ obj(X4,X2)
    | ~ arg1(X3,X2) ),
    inference(spm,[status(thm)],[614,418,theory(equality)]) ).

cnf(617,plain,
    ( ~ val(X1,mandela_0)
    | $false
    | ~ sub(X1,familiename_1_1)
    | ~ attr(X2,c462)
    | ~ attr(X2,X1)
    | ~ subr(X3,rprs_0)
    | ~ obj(X4,X2)
    | ~ arg1(X3,X2) ),
    inference(rw,[status(thm)],[615,419,theory(equality)]) ).

cnf(618,plain,
    ( ~ val(X1,mandela_0)
    | ~ sub(X1,familiename_1_1)
    | ~ attr(X2,c462)
    | ~ attr(X2,X1)
    | ~ subr(X3,rprs_0)
    | ~ obj(X4,X2)
    | ~ arg1(X3,X2) ),
    inference(cn,[status(thm)],[617,theory(equality)]) ).

cnf(619,plain,
    ( ~ sub(c463,familiename_1_1)
    | ~ attr(X1,c462)
    | ~ attr(X1,c463)
    | ~ subr(X2,rprs_0)
    | ~ obj(X3,X1)
    | ~ arg1(X2,X1) ),
    inference(spm,[status(thm)],[618,416,theory(equality)]) ).

cnf(621,plain,
    ( $false
    | ~ attr(X1,c462)
    | ~ attr(X1,c463)
    | ~ subr(X2,rprs_0)
    | ~ obj(X3,X1)
    | ~ arg1(X2,X1) ),
    inference(rw,[status(thm)],[619,417,theory(equality)]) ).

cnf(622,plain,
    ( ~ attr(X1,c462)
    | ~ attr(X1,c463)
    | ~ subr(X2,rprs_0)
    | ~ obj(X3,X1)
    | ~ arg1(X2,X1) ),
    inference(cn,[status(thm)],[621,theory(equality)]) ).

cnf(623,plain,
    ( ~ attr(X1,c462)
    | ~ attr(X1,c463)
    | ~ obj(X5,X1)
    | ~ arg1(esk3_3(X2,X3,X4),X1)
    | ~ arg2(X2,X4)
    | ~ arg1(X2,X3)
    | ~ subs(X2,hei__337en_1_1) ),
    inference(spm,[status(thm)],[622,82,theory(equality)]) ).

cnf(624,plain,
    ( ~ attr(X1,c462)
    | ~ attr(X1,c463)
    | ~ obj(X2,X1)
    | ~ arg2(X3,X4)
    | ~ arg1(X3,X1)
    | ~ subs(X3,hei__337en_1_1) ),
    inference(spm,[status(thm)],[623,87,theory(equality)]) ).

cnf(625,plain,
    ( ~ attr(X1,c462)
    | ~ attr(X1,c463)
    | ~ arg2(X4,X5)
    | ~ arg1(X4,X1)
    | ~ subs(X4,hei__337en_1_1)
    | ~ arg2(X2,X3)
    | ~ arg1(X2,X1)
    | ~ subs(X2,hei__337en_1_1) ),
    inference(spm,[status(thm)],[624,83,theory(equality)]) ).

cnf(714,plain,
    ( ~ attr(X1,c462)
    | ~ attr(X1,c463)
    | ~ arg2(X4,X5)
    | ~ arg1(esk4_3(X2,eigenname_1_1,X3),X1)
    | ~ arg1(X4,X1)
    | ~ subs(esk4_3(X2,eigenname_1_1,X3),hei__337en_1_1)
    | ~ subs(X4,hei__337en_1_1)
    | ~ sub(X2,eigenname_1_1)
    | ~ attr(X3,X2) ),
    inference(spm,[status(thm)],[625,593,theory(equality)]) ).

cnf(716,plain,
    ( ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,c462)
    | ~ attr(X2,c463)
    | ~ attr(X2,X1)
    | ~ arg2(X3,X4)
    | ~ arg1(X3,X2)
    | ~ subs(esk4_3(X1,eigenname_1_1,X2),hei__337en_1_1)
    | ~ subs(X3,hei__337en_1_1) ),
    inference(spm,[status(thm)],[714,591,theory(equality)]) ).

cnf(718,plain,
    ( ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,c462)
    | ~ attr(X2,c463)
    | ~ attr(X2,X1)
    | ~ arg2(X3,X4)
    | ~ arg1(X3,X2)
    | ~ subs(X3,hei__337en_1_1) ),
    inference(spm,[status(thm)],[716,595,theory(equality)]) ).

cnf(729,plain,
    ( ~ sub(c462,eigenname_1_1)
    | ~ attr(c461,c462)
    | ~ attr(c461,c463)
    | ~ arg2(X1,X2)
    | ~ arg1(X1,c461)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(spm,[status(thm)],[718,422,theory(equality)]) ).

cnf(733,plain,
    ( $false
    | ~ attr(c461,c462)
    | ~ attr(c461,c463)
    | ~ arg2(X1,X2)
    | ~ arg1(X1,c461)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(rw,[status(thm)],[729,419,theory(equality)]) ).

cnf(734,plain,
    ( $false
    | $false
    | ~ attr(c461,c463)
    | ~ arg2(X1,X2)
    | ~ arg1(X1,c461)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(rw,[status(thm)],[733,422,theory(equality)]) ).

cnf(735,plain,
    ( $false
    | $false
    | $false
    | ~ arg2(X1,X2)
    | ~ arg1(X1,c461)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(rw,[status(thm)],[734,421,theory(equality)]) ).

cnf(736,plain,
    ( ~ arg2(X1,X2)
    | ~ arg1(X1,c461)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(cn,[status(thm)],[735,theory(equality)]) ).

cnf(741,plain,
    ( ~ arg1(esk4_3(X1,eigenname_1_1,X2),c461)
    | ~ subs(esk4_3(X1,eigenname_1_1,X2),hei__337en_1_1)
    | ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,X1) ),
    inference(spm,[status(thm)],[736,593,theory(equality)]) ).

cnf(743,plain,
    ( ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,X1)
    | ~ arg1(esk4_3(X1,eigenname_1_1,X2),c461) ),
    inference(csr,[status(thm)],[741,595]) ).

cnf(744,plain,
    ( ~ sub(X1,eigenname_1_1)
    | ~ attr(c461,X1) ),
    inference(spm,[status(thm)],[743,591,theory(equality)]) ).

cnf(751,plain,
    ~ sub(c462,eigenname_1_1),
    inference(spm,[status(thm)],[744,422,theory(equality)]) ).

cnf(753,plain,
    $false,
    inference(rw,[status(thm)],[751,419,theory(equality)]) ).

cnf(754,plain,
    $false,
    inference(cn,[status(thm)],[753,theory(equality)]) ).

cnf(755,plain,
    $false,
    754,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR116+40.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmpqHty_F/sel_CSR116+40.p_1 with time limit 29
% -prover status Theorem
% Problem CSR116+40.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR116+40.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR116+40.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------