TSTP Solution File: CSR116+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR116+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art09.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 07:58:17 EST 2010

% Result   : Theorem 1.59s
% Output   : CNFRefutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   84 (  22 unt;   0 def)
%            Number of atoms       :  771 (   0 equ)
%            Maximal formula atoms :  346 (   9 avg)
%            Number of connectives :  977 ( 290   ~; 265   |; 417   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  346 (  11 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   31 (  30 usr;   4 prp; 0-10 aty)
%            Number of functors    :   84 (  84 usr;  80 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/tmpUUAY2b/sel_CSR116+2.p_1',hei__337en_1_1__bezeichnen_1_1_als) ).

fof(10,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/tmpUUAY2b/sel_CSR116+2.p_1',attr_name_hei__337en_1_1) ).

fof(12,axiom,
    ! [X1,X2] : member(X1,cons(X1,X2)),
    file('/tmp/tmpUUAY2b/sel_CSR116+2.p_1',member_first) ).

fof(85,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/tmpUUAY2b/sel_CSR116+2.p_1',synth_qa07_010_mira_news_1591) ).

fof(86,axiom,
    ( assoc(apartheidsstaat_1_1,apartheid_1_1)
    & sub(apartheidsstaat_1_1,land_1_1)
    & attr(c6477,c6478)
    & attr(c6477,c6479)
    & sub(c6477,mensch_1_1)
    & sub(c6478,eigenname_1_1)
    & val(c6478,nelson_0)
    & sub(c6479,familiename_1_1)
    & val(c6479,mandela_0)
    & prop(c6485,schwarz_1_1)
    & sub(c6485,c6492)
    & pmod(c6492,erst_1_1,pr__344sident_1_1)
    & sub(c6496,abschlu__337_1_1)
    & attch(c6499,c6496)
    & sub(c6499,apartheidsstaat_1_1)
    & sub(c6500,von_2_1)
    & attr(c6506,c6507)
    & attr(c6506,c6508)
    & sub(c6506,mensch_1_1)
    & sub(c6507,eigenname_1_1)
    & val(c6507,hans_0)
    & sub(c6508,familiename_1_1)
    & val(c6508,brandt_0)
    & sub(c6509,in_2_1)
    & attr(c6515,c6516)
    & sub(c6515,land_1_1)
    & sub(c6516,name_1_1)
    & val(c6516,s__374dafrika_0)
    & sub(c6519,montag__1_1)
    & quant_p3(c6528,c6523,jahr__1_1)
    & agt(c6529,c6536)
    & dur(c6529,c6528)
    & subs(c6529,hegemonie_1_1)
    & prop(c6536,wei__337_1_1)
    & sub(c6536,minderheit_1_2)
    & tupl_p10(c6617,c6477,c6485,c6496,c6500,c6506,c6509,c6515,c6519,c6529)
    & assoc(hegemonie_1_1,pr__344_1_1)
    & subs(hegemonie_1_1,dominanz_1_1)
    & sort(apartheidsstaat_1_1,d)
    & sort(apartheidsstaat_1_1,io)
    & card(apartheidsstaat_1_1,int1)
    & etype(apartheidsstaat_1_1,int0)
    & fact(apartheidsstaat_1_1,real)
    & gener(apartheidsstaat_1_1,ge)
    & quant(apartheidsstaat_1_1,one)
    & refer(apartheidsstaat_1_1,refer_c)
    & varia(apartheidsstaat_1_1,varia_c)
    & sort(apartheid_1_1,io)
    & card(apartheid_1_1,int1)
    & etype(apartheid_1_1,int0)
    & fact(apartheid_1_1,real)
    & gener(apartheid_1_1,ge)
    & quant(apartheid_1_1,one)
    & refer(apartheid_1_1,refer_c)
    & varia(apartheid_1_1,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(c6477,d)
    & card(c6477,int1)
    & etype(c6477,int0)
    & fact(c6477,real)
    & gener(c6477,sp)
    & quant(c6477,one)
    & refer(c6477,det)
    & varia(c6477,con)
    & sort(c6478,na)
    & card(c6478,int1)
    & etype(c6478,int0)
    & fact(c6478,real)
    & gener(c6478,sp)
    & quant(c6478,one)
    & refer(c6478,indet)
    & varia(c6478,varia_c)
    & sort(c6479,na)
    & card(c6479,int1)
    & etype(c6479,int0)
    & fact(c6479,real)
    & gener(c6479,sp)
    & quant(c6479,one)
    & refer(c6479,indet)
    & varia(c6479,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(c6485,d)
    & card(c6485,int1)
    & etype(c6485,int0)
    & fact(c6485,real)
    & gener(c6485,sp)
    & quant(c6485,one)
    & refer(c6485,det)
    & varia(c6485,con)
    & sort(schwarz_1_1,tq)
    & sort(c6492,d)
    & card(c6492,int1)
    & etype(c6492,int0)
    & fact(c6492,real)
    & gener(c6492,ge)
    & quant(c6492,one)
    & refer(c6492,refer_c)
    & varia(c6492,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(c6496,ad)
    & sort(c6496,io)
    & card(c6496,int1)
    & etype(c6496,int0)
    & fact(c6496,real)
    & gener(c6496,sp)
    & quant(c6496,one)
    & refer(c6496,det)
    & varia(c6496,varia_c)
    & sort(abschlu__337_1_1,ad)
    & sort(abschlu__337_1_1,io)
    & card(abschlu__337_1_1,int1)
    & etype(abschlu__337_1_1,int0)
    & fact(abschlu__337_1_1,real)
    & gener(abschlu__337_1_1,ge)
    & quant(abschlu__337_1_1,one)
    & refer(abschlu__337_1_1,refer_c)
    & varia(abschlu__337_1_1,varia_c)
    & sort(c6499,d)
    & sort(c6499,io)
    & card(c6499,int1)
    & etype(c6499,int0)
    & fact(c6499,real)
    & gener(c6499,sp)
    & quant(c6499,one)
    & refer(c6499,det)
    & varia(c6499,con)
    & sort(c6500,o)
    & card(c6500,int1)
    & etype(c6500,int0)
    & fact(c6500,real)
    & gener(c6500,gener_c)
    & quant(c6500,one)
    & refer(c6500,refer_c)
    & varia(c6500,varia_c)
    & sort(von_2_1,o)
    & card(von_2_1,int1)
    & etype(von_2_1,int0)
    & fact(von_2_1,real)
    & gener(von_2_1,ge)
    & quant(von_2_1,one)
    & refer(von_2_1,refer_c)
    & varia(von_2_1,varia_c)
    & sort(c6506,d)
    & card(c6506,int1)
    & etype(c6506,int0)
    & fact(c6506,real)
    & gener(c6506,sp)
    & quant(c6506,one)
    & refer(c6506,det)
    & varia(c6506,con)
    & sort(c6507,na)
    & card(c6507,int1)
    & etype(c6507,int0)
    & fact(c6507,real)
    & gener(c6507,sp)
    & quant(c6507,one)
    & refer(c6507,indet)
    & varia(c6507,varia_c)
    & sort(c6508,na)
    & card(c6508,int1)
    & etype(c6508,int0)
    & fact(c6508,real)
    & gener(c6508,sp)
    & quant(c6508,one)
    & refer(c6508,indet)
    & varia(c6508,varia_c)
    & sort(hans_0,fe)
    & sort(brandt_0,fe)
    & sort(c6509,o)
    & card(c6509,int1)
    & etype(c6509,int0)
    & fact(c6509,real)
    & gener(c6509,gener_c)
    & quant(c6509,one)
    & refer(c6509,refer_c)
    & varia(c6509,varia_c)
    & sort(in_2_1,o)
    & card(in_2_1,int1)
    & etype(in_2_1,int0)
    & fact(in_2_1,real)
    & gener(in_2_1,ge)
    & quant(in_2_1,one)
    & refer(in_2_1,refer_c)
    & varia(in_2_1,varia_c)
    & sort(c6515,d)
    & sort(c6515,io)
    & card(c6515,int1)
    & etype(c6515,int0)
    & fact(c6515,real)
    & gener(c6515,sp)
    & quant(c6515,one)
    & refer(c6515,det)
    & varia(c6515,con)
    & sort(c6516,na)
    & card(c6516,int1)
    & etype(c6516,int0)
    & fact(c6516,real)
    & gener(c6516,sp)
    & quant(c6516,one)
    & refer(c6516,indet)
    & varia(c6516,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(c6519,ta)
    & card(c6519,int1)
    & etype(c6519,int0)
    & fact(c6519,real)
    & gener(c6519,sp)
    & quant(c6519,one)
    & refer(c6519,det)
    & varia(c6519,con)
    & sort(montag__1_1,ta)
    & card(montag__1_1,int1)
    & etype(montag__1_1,int0)
    & fact(montag__1_1,real)
    & gener(montag__1_1,ge)
    & quant(montag__1_1,one)
    & refer(montag__1_1,refer_c)
    & varia(montag__1_1,varia_c)
    & sort(c6528,m)
    & sort(c6528,ta)
    & card(c6528,card_c)
    & etype(c6528,etype_c)
    & fact(c6528,real)
    & gener(c6528,gener_c)
    & quant(c6528,quant_c)
    & refer(c6528,refer_c)
    & varia(c6528,varia_c)
    & sort(c6523,nu)
    & card(c6523,int342)
    & sort(jahr__1_1,me)
    & sort(jahr__1_1,oa)
    & sort(jahr__1_1,ta)
    & card(jahr__1_1,card_c)
    & etype(jahr__1_1,etype_c)
    & fact(jahr__1_1,real)
    & gener(jahr__1_1,ge)
    & quant(jahr__1_1,quant_c)
    & refer(jahr__1_1,refer_c)
    & varia(jahr__1_1,varia_c)
    & sort(c6529,ad)
    & card(c6529,int1)
    & etype(c6529,int0)
    & fact(c6529,real)
    & gener(c6529,sp)
    & quant(c6529,one)
    & refer(c6529,det)
    & varia(c6529,con)
    & sort(c6536,d)
    & card(c6536,int1)
    & etype(c6536,int1)
    & fact(c6536,real)
    & gener(c6536,sp)
    & quant(c6536,one)
    & refer(c6536,det)
    & varia(c6536,con)
    & sort(hegemonie_1_1,ad)
    & card(hegemonie_1_1,int1)
    & etype(hegemonie_1_1,int0)
    & fact(hegemonie_1_1,real)
    & gener(hegemonie_1_1,ge)
    & quant(hegemonie_1_1,one)
    & refer(hegemonie_1_1,refer_c)
    & varia(hegemonie_1_1,varia_c)
    & sort(wei__337_1_1,nq)
    & sort(minderheit_1_2,d)
    & card(minderheit_1_2,card_c)
    & etype(minderheit_1_2,int1)
    & fact(minderheit_1_2,real)
    & gener(minderheit_1_2,ge)
    & quant(minderheit_1_2,quant_c)
    & refer(minderheit_1_2,refer_c)
    & varia(minderheit_1_2,varia_c)
    & sort(c6617,ent)
    & card(c6617,card_c)
    & etype(c6617,etype_c)
    & fact(c6617,real)
    & gener(c6617,gener_c)
    & quant(c6617,quant_c)
    & refer(c6617,refer_c)
    & varia(c6617,varia_c)
    & sort(pr__344_1_1,ent)
    & card(pr__344_1_1,card_c)
    & etype(pr__344_1_1,etype_c)
    & fact(pr__344_1_1,real)
    & gener(pr__344_1_1,gener_c)
    & quant(pr__344_1_1,quant_c)
    & refer(pr__344_1_1,refer_c)
    & varia(pr__344_1_1,varia_c)
    & sort(dominanz_1_1,ad)
    & card(dominanz_1_1,int1)
    & etype(dominanz_1_1,int0)
    & fact(dominanz_1_1,real)
    & gener(dominanz_1_1,ge)
    & quant(dominanz_1_1,one)
    & refer(dominanz_1_1,refer_c)
    & varia(dominanz_1_1,varia_c) ),
    file('/tmp/tmpUUAY2b/sel_CSR116+2.p_1',ave07_era5_synth_qa07_010_mira_news_1591) ).

fof(87,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)],[85]) ).

fof(95,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(96,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)],[95]) ).

fof(97,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)],[96]) ).

fof(98,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)],[97]) ).

cnf(100,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)],[98]) ).

cnf(101,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)],[98]) ).

cnf(105,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)],[98]) ).

fof(118,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)],[10]) ).

fof(119,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)],[118]) ).

fof(120,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)],[119]) ).

fof(121,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)],[120]) ).

cnf(122,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)],[121]) ).

cnf(123,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)],[121]) ).

cnf(124,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)],[121]) ).

fof(131,plain,
    ! [X3,X4] : member(X3,cons(X3,X4)),
    inference(variable_rename,[status(thm)],[12]) ).

cnf(132,plain,
    member(X1,cons(X1,X2)),
    inference(split_conjunct,[status(thm)],[131]) ).

fof(314,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)],[87]) ).

fof(315,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)],[314]) ).

cnf(316,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)],[315]) ).

cnf(635,plain,
    val(c6516,s__374dafrika_0),
    inference(split_conjunct,[status(thm)],[86]) ).

cnf(636,plain,
    sub(c6516,name_1_1),
    inference(split_conjunct,[status(thm)],[86]) ).

cnf(638,plain,
    attr(c6515,c6516),
    inference(split_conjunct,[status(thm)],[86]) ).

cnf(651,plain,
    pmod(c6492,erst_1_1,pr__344sident_1_1),
    inference(split_conjunct,[status(thm)],[86]) ).

cnf(652,plain,
    sub(c6485,c6492),
    inference(split_conjunct,[status(thm)],[86]) ).

cnf(653,plain,
    prop(c6485,schwarz_1_1),
    inference(split_conjunct,[status(thm)],[86]) ).

cnf(654,plain,
    val(c6479,mandela_0),
    inference(split_conjunct,[status(thm)],[86]) ).

cnf(655,plain,
    sub(c6479,familiename_1_1),
    inference(split_conjunct,[status(thm)],[86]) ).

cnf(656,plain,
    val(c6478,nelson_0),
    inference(split_conjunct,[status(thm)],[86]) ).

cnf(657,plain,
    sub(c6478,eigenname_1_1),
    inference(split_conjunct,[status(thm)],[86]) ).

cnf(659,plain,
    attr(c6477,c6479),
    inference(split_conjunct,[status(thm)],[86]) ).

cnf(660,plain,
    attr(c6477,c6478),
    inference(split_conjunct,[status(thm)],[86]) ).

cnf(945,plain,
    ( arg1(esk4_3(X1,eigenname_1_1,X2),X2)
    | ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,X1) ),
    inference(spm,[status(thm)],[124,132,theory(equality)]) ).

cnf(955,plain,
    ( arg2(esk4_3(X1,eigenname_1_1,X2),X2)
    | ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,X1) ),
    inference(spm,[status(thm)],[123,132,theory(equality)]) ).

cnf(957,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)],[122,132,theory(equality)]) ).

fof(959,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(960,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)],[959]) ).

fof(961,plain,
    ( ~ epred2_0
  <=> ! [X7,X8,X4,X2,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(962,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)],[961]) ).

fof(963,plain,
    ( ~ epred3_0
  <=> ! [X9,X1] :
        ( ~ attr(X9,X1)
        | ~ sub(X1,name_1_1)
        | ~ val(X1,s__374dafrika_0) ) ),
    introduced(definition),
    [split] ).

cnf(964,plain,
    ( epred3_0
    | ~ attr(X9,X1)
    | ~ sub(X1,name_1_1)
    | ~ val(X1,s__374dafrika_0) ),
    inference(split_equiv,[status(thm)],[963]) ).

cnf(965,negated_conjecture,
    ( ~ epred3_0
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[316,959,theory(equality)]),961,theory(equality)]),963,theory(equality)]),
    [split] ).

cnf(966,plain,
    ( epred3_0
    | ~ sub(c6516,name_1_1)
    | ~ attr(X1,c6516) ),
    inference(spm,[status(thm)],[964,635,theory(equality)]) ).

cnf(968,plain,
    ( epred3_0
    | $false
    | ~ attr(X1,c6516) ),
    inference(rw,[status(thm)],[966,636,theory(equality)]) ).

cnf(969,plain,
    ( epred3_0
    | ~ attr(X1,c6516) ),
    inference(cn,[status(thm)],[968,theory(equality)]) ).

cnf(970,plain,
    epred3_0,
    inference(spm,[status(thm)],[969,638,theory(equality)]) ).

cnf(973,negated_conjecture,
    ( $false
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[965,970,theory(equality)]) ).

cnf(974,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[973,theory(equality)]) ).

cnf(975,plain,
    ( epred1_0
    | ~ prop(X1,schwarz_1_1)
    | ~ sub(X1,c6492) ),
    inference(spm,[status(thm)],[960,651,theory(equality)]) ).

cnf(976,plain,
    ( epred1_0
    | ~ sub(c6485,c6492) ),
    inference(spm,[status(thm)],[975,653,theory(equality)]) ).

cnf(977,plain,
    ( epred1_0
    | $false ),
    inference(rw,[status(thm)],[976,652,theory(equality)]) ).

cnf(978,plain,
    epred1_0,
    inference(cn,[status(thm)],[977,theory(equality)]) ).

cnf(981,negated_conjecture,
    ( ~ epred2_0
    | $false ),
    inference(rw,[status(thm)],[974,978,theory(equality)]) ).

cnf(982,negated_conjecture,
    ~ epred2_0,
    inference(cn,[status(thm)],[981,theory(equality)]) ).

cnf(983,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)],[962,982,theory(equality)]) ).

cnf(984,plain,
    ( ~ val(X1,mandela_0)
    | ~ sub(c6478,eigenname_1_1)
    | ~ sub(X1,familiename_1_1)
    | ~ attr(X2,c6478)
    | ~ attr(X2,X1)
    | ~ subr(X3,rprs_0)
    | ~ obj(X4,X2)
    | ~ arg1(X3,X2) ),
    inference(spm,[status(thm)],[983,656,theory(equality)]) ).

cnf(986,plain,
    ( ~ val(X1,mandela_0)
    | $false
    | ~ sub(X1,familiename_1_1)
    | ~ attr(X2,c6478)
    | ~ attr(X2,X1)
    | ~ subr(X3,rprs_0)
    | ~ obj(X4,X2)
    | ~ arg1(X3,X2) ),
    inference(rw,[status(thm)],[984,657,theory(equality)]) ).

cnf(987,plain,
    ( ~ val(X1,mandela_0)
    | ~ sub(X1,familiename_1_1)
    | ~ attr(X2,c6478)
    | ~ attr(X2,X1)
    | ~ subr(X3,rprs_0)
    | ~ obj(X4,X2)
    | ~ arg1(X3,X2) ),
    inference(cn,[status(thm)],[986,theory(equality)]) ).

cnf(988,plain,
    ( ~ sub(c6479,familiename_1_1)
    | ~ attr(X1,c6478)
    | ~ attr(X1,c6479)
    | ~ subr(X2,rprs_0)
    | ~ obj(X3,X1)
    | ~ arg1(X2,X1) ),
    inference(spm,[status(thm)],[987,654,theory(equality)]) ).

cnf(990,plain,
    ( $false
    | ~ attr(X1,c6478)
    | ~ attr(X1,c6479)
    | ~ subr(X2,rprs_0)
    | ~ obj(X3,X1)
    | ~ arg1(X2,X1) ),
    inference(rw,[status(thm)],[988,655,theory(equality)]) ).

cnf(991,plain,
    ( ~ attr(X1,c6478)
    | ~ attr(X1,c6479)
    | ~ subr(X2,rprs_0)
    | ~ obj(X3,X1)
    | ~ arg1(X2,X1) ),
    inference(cn,[status(thm)],[990,theory(equality)]) ).

cnf(992,plain,
    ( ~ attr(X1,c6478)
    | ~ attr(X1,c6479)
    | ~ 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)],[991,100,theory(equality)]) ).

cnf(993,plain,
    ( ~ attr(X1,c6478)
    | ~ attr(X1,c6479)
    | ~ obj(X2,X1)
    | ~ arg2(X3,X4)
    | ~ arg1(X3,X1)
    | ~ subs(X3,hei__337en_1_1) ),
    inference(spm,[status(thm)],[992,105,theory(equality)]) ).

cnf(994,plain,
    ( ~ attr(X1,c6478)
    | ~ attr(X1,c6479)
    | ~ 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)],[993,101,theory(equality)]) ).

cnf(1297,plain,
    ( ~ attr(X1,c6478)
    | ~ attr(X1,c6479)
    | ~ 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)],[994,955,theory(equality)]) ).

cnf(1300,plain,
    ( ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,c6478)
    | ~ attr(X2,c6479)
    | ~ 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)],[1297,945,theory(equality)]) ).

cnf(1511,plain,
    ( ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,c6478)
    | ~ attr(X2,c6479)
    | ~ attr(X2,X1)
    | ~ arg2(X3,X4)
    | ~ arg1(X3,X2)
    | ~ subs(X3,hei__337en_1_1) ),
    inference(spm,[status(thm)],[1300,957,theory(equality)]) ).

cnf(1516,plain,
    ( ~ sub(c6478,eigenname_1_1)
    | ~ attr(c6477,c6478)
    | ~ attr(c6477,c6479)
    | ~ arg2(X1,X2)
    | ~ arg1(X1,c6477)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(spm,[status(thm)],[1511,660,theory(equality)]) ).

cnf(1522,plain,
    ( $false
    | ~ attr(c6477,c6478)
    | ~ attr(c6477,c6479)
    | ~ arg2(X1,X2)
    | ~ arg1(X1,c6477)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(rw,[status(thm)],[1516,657,theory(equality)]) ).

cnf(1523,plain,
    ( $false
    | $false
    | ~ attr(c6477,c6479)
    | ~ arg2(X1,X2)
    | ~ arg1(X1,c6477)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(rw,[status(thm)],[1522,660,theory(equality)]) ).

cnf(1524,plain,
    ( $false
    | $false
    | $false
    | ~ arg2(X1,X2)
    | ~ arg1(X1,c6477)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(rw,[status(thm)],[1523,659,theory(equality)]) ).

cnf(1525,plain,
    ( ~ arg2(X1,X2)
    | ~ arg1(X1,c6477)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(cn,[status(thm)],[1524,theory(equality)]) ).

cnf(1532,plain,
    ( ~ arg1(esk4_3(X1,eigenname_1_1,X2),c6477)
    | ~ subs(esk4_3(X1,eigenname_1_1,X2),hei__337en_1_1)
    | ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,X1) ),
    inference(spm,[status(thm)],[1525,955,theory(equality)]) ).

cnf(1541,plain,
    ( ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,X1)
    | ~ arg1(esk4_3(X1,eigenname_1_1,X2),c6477) ),
    inference(csr,[status(thm)],[1532,957]) ).

cnf(1542,plain,
    ( ~ sub(X1,eigenname_1_1)
    | ~ attr(c6477,X1) ),
    inference(spm,[status(thm)],[1541,945,theory(equality)]) ).

cnf(1543,plain,
    ~ sub(c6478,eigenname_1_1),
    inference(spm,[status(thm)],[1542,660,theory(equality)]) ).

cnf(1545,plain,
    $false,
    inference(rw,[status(thm)],[1543,657,theory(equality)]) ).

cnf(1546,plain,
    $false,
    inference(cn,[status(thm)],[1545,theory(equality)]) ).

cnf(1547,plain,
    $false,
    1546,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR116+2.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmpUUAY2b/sel_CSR116+2.p_1 with time limit 29
% -prover status Theorem
% Problem CSR116+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR116+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR116+2.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
% 
%------------------------------------------------------------------------------