↑ Up

SInE---0.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR116+3 : 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 07:59:56 EST 2010

% Result   : Theorem 1.69s
% Output   : CNFRefutation 1.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   76 (  22 unt;   0 def)
%            Number of atoms       :  782 (   0 equ)
%            Maximal formula atoms :  317 (  10 avg)
%            Number of connectives : 1036 ( 330   ~; 312   |; 390   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  317 (  12 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   30 (  29 usr;   3 prp; 0-3 aty)
%            Number of functors    :   84 (  84 usr;  80 con; 0-3 aty)
%            Number of variables   :  212 (  22 sgn  61   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(7,axiom,
    ! [X1,X2] : member(X1,cons(X1,X2)),
    file('/tmp/tmpoBMo8o/sel_CSR116+3.p_1',member_first) ).

fof(25,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/tmpoBMo8o/sel_CSR116+3.p_1',attr_name_hei__337en_1_1) ).

fof(86,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/tmpoBMo8o/sel_CSR116+3.p_1',hei__337en_1_1__bezeichnen_1_1_als) ).

fof(91,axiom,
    ( attr(c11,c12)
    & attr(c11,c210)
    & sub(c11,hauptsstadt_1_1)
    & sub(c11,stadt__1_1)
    & sub(c12,name_1_1)
    & val(c12,pretoria_0)
    & attr(c17,c18)
    & attr(c17,c19)
    & sub(c18,tag_1_1)
    & val(c18,c15)
    & pmod(c183,erst_1_1,pr__344sident_1_1)
    & attch(c187,c193)
    & attr(c187,c188)
    & sub(c187,land_1_1)
    & sub(c188,name_1_1)
    & val(c188,s__374dafrika_0)
    & sub(c19,monat_1_1)
    & val(c19,c16)
    & attr(c193,c194)
    & attr(c193,c195)
    & loc(c193,c212)
    & prop(c193,schwarz_1_1)
    & sub(c193,c183)
    & sub(c194,eigenname_1_1)
    & val(c194,nelson_0)
    & sub(c195,familiename_1_1)
    & val(c195,mandela_0)
    & sub(c199,dienstag__1_1)
    & sub(c210,name_1_1)
    & val(c210,pretoria_0)
    & in(c212,c11)
    & tupl(c31,c11,c17)
    & equ(c43,c43)
    & obj(c43,c193)
    & prop(c43,afrikanisch__1_1)
    & subs(c43,feier__1_1)
    & subs(c43,vereidigung_1_1)
    & temp(c43,c199)
    & attch(c52,c43)
    & prop(c52,ausgelassen_1_1)
    & subs(c52,freude_1_1)
    & arg1(c55,c43)
    & arg2(c55,c43)
    & subr(c55,equ_0)
    & sub(hauptsstadt_1_1,stadt__1_1)
    & sort(c11,d)
    & sort(c11,io)
    & card(c11,int1)
    & etype(c11,int0)
    & fact(c11,real)
    & gener(c11,sp)
    & quant(c11,one)
    & refer(c11,det)
    & varia(c11,con)
    & sort(c12,na)
    & card(c12,int1)
    & etype(c12,int0)
    & fact(c12,real)
    & gener(c12,sp)
    & quant(c12,one)
    & refer(c12,indet)
    & varia(c12,varia_c)
    & sort(c210,na)
    & card(c210,int1)
    & etype(c210,int0)
    & fact(c210,real)
    & gener(c210,sp)
    & quant(c210,one)
    & refer(c210,indet)
    & varia(c210,varia_c)
    & sort(hauptsstadt_1_1,d)
    & sort(hauptsstadt_1_1,io)
    & card(hauptsstadt_1_1,int1)
    & etype(hauptsstadt_1_1,int0)
    & fact(hauptsstadt_1_1,real)
    & gener(hauptsstadt_1_1,ge)
    & quant(hauptsstadt_1_1,one)
    & refer(hauptsstadt_1_1,refer_c)
    & varia(hauptsstadt_1_1,varia_c)
    & sort(stadt__1_1,d)
    & sort(stadt__1_1,io)
    & card(stadt__1_1,int1)
    & etype(stadt__1_1,int0)
    & fact(stadt__1_1,real)
    & gener(stadt__1_1,ge)
    & quant(stadt__1_1,one)
    & refer(stadt__1_1,refer_c)
    & varia(stadt__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(pretoria_0,fe)
    & sort(c17,t)
    & card(c17,int1)
    & etype(c17,int0)
    & fact(c17,real)
    & gener(c17,sp)
    & quant(c17,one)
    & refer(c17,det)
    & varia(c17,con)
    & sort(c18,me)
    & sort(c18,oa)
    & sort(c18,ta)
    & card(c18,card_c)
    & etype(c18,etype_c)
    & fact(c18,real)
    & gener(c18,sp)
    & quant(c18,quant_c)
    & refer(c18,refer_c)
    & varia(c18,varia_c)
    & sort(c19,me)
    & sort(c19,oa)
    & sort(c19,ta)
    & card(c19,card_c)
    & etype(c19,etype_c)
    & fact(c19,real)
    & gener(c19,sp)
    & quant(c19,quant_c)
    & refer(c19,refer_c)
    & varia(c19,varia_c)
    & sort(tag_1_1,me)
    & sort(tag_1_1,oa)
    & sort(tag_1_1,ta)
    & card(tag_1_1,card_c)
    & etype(tag_1_1,etype_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & quant(tag_1_1,quant_c)
    & refer(tag_1_1,refer_c)
    & varia(tag_1_1,varia_c)
    & sort(c15,nu)
    & card(c15,int10)
    & sort(c183,d)
    & card(c183,int1)
    & etype(c183,int0)
    & fact(c183,real)
    & gener(c183,ge)
    & quant(c183,one)
    & refer(c183,refer_c)
    & varia(c183,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(c187,d)
    & sort(c187,io)
    & card(c187,int1)
    & etype(c187,int0)
    & fact(c187,real)
    & gener(c187,sp)
    & quant(c187,one)
    & refer(c187,det)
    & varia(c187,con)
    & sort(c193,d)
    & card(c193,int1)
    & etype(c193,int0)
    & fact(c193,real)
    & gener(c193,sp)
    & quant(c193,one)
    & refer(c193,det)
    & varia(c193,con)
    & sort(c188,na)
    & card(c188,int1)
    & etype(c188,int0)
    & fact(c188,real)
    & gener(c188,sp)
    & quant(c188,one)
    & refer(c188,indet)
    & varia(c188,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(s__374dafrika_0,fe)
    & sort(monat_1_1,me)
    & sort(monat_1_1,oa)
    & sort(monat_1_1,ta)
    & card(monat_1_1,card_c)
    & etype(monat_1_1,etype_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & quant(monat_1_1,quant_c)
    & refer(monat_1_1,refer_c)
    & varia(monat_1_1,varia_c)
    & sort(c16,nu)
    & card(c16,int5)
    & sort(c194,na)
    & card(c194,int1)
    & etype(c194,int0)
    & fact(c194,real)
    & gener(c194,sp)
    & quant(c194,one)
    & refer(c194,indet)
    & varia(c194,varia_c)
    & sort(c195,na)
    & card(c195,int1)
    & etype(c195,int0)
    & fact(c195,real)
    & gener(c195,sp)
    & quant(c195,one)
    & refer(c195,indet)
    & varia(c195,varia_c)
    & sort(c212,l)
    & card(c212,int1)
    & etype(c212,int0)
    & fact(c212,real)
    & gener(c212,sp)
    & quant(c212,one)
    & refer(c212,det)
    & varia(c212,con)
    & sort(schwarz_1_1,tq)
    & 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(c199,ta)
    & card(c199,int1)
    & etype(c199,int0)
    & fact(c199,real)
    & gener(c199,sp)
    & quant(c199,one)
    & refer(c199,det)
    & varia(c199,con)
    & sort(dienstag__1_1,ta)
    & card(dienstag__1_1,int1)
    & etype(dienstag__1_1,int0)
    & fact(dienstag__1_1,real)
    & gener(dienstag__1_1,ge)
    & quant(dienstag__1_1,one)
    & refer(dienstag__1_1,refer_c)
    & varia(dienstag__1_1,varia_c)
    & sort(c31,ent)
    & card(c31,card_c)
    & etype(c31,etype_c)
    & fact(c31,real)
    & gener(c31,gener_c)
    & quant(c31,quant_c)
    & refer(c31,refer_c)
    & varia(c31,varia_c)
    & sort(c43,ad)
    & card(c43,int1)
    & etype(c43,int0)
    & fact(c43,real)
    & gener(c43,sp)
    & quant(c43,one)
    & refer(c43,det)
    & varia(c43,con)
    & sort(afrikanisch__1_1,nq)
    & sort(feier__1_1,ad)
    & card(feier__1_1,int1)
    & etype(feier__1_1,int0)
    & fact(feier__1_1,real)
    & gener(feier__1_1,ge)
    & quant(feier__1_1,one)
    & refer(feier__1_1,refer_c)
    & varia(feier__1_1,varia_c)
    & sort(vereidigung_1_1,ad)
    & card(vereidigung_1_1,int1)
    & etype(vereidigung_1_1,int0)
    & fact(vereidigung_1_1,real)
    & gener(vereidigung_1_1,ge)
    & quant(vereidigung_1_1,one)
    & refer(vereidigung_1_1,refer_c)
    & varia(vereidigung_1_1,varia_c)
    & sort(c52,ad)
    & card(c52,int1)
    & etype(c52,int0)
    & fact(c52,real)
    & gener(c52,sp)
    & quant(c52,one)
    & refer(c52,det)
    & varia(c52,con)
    & sort(ausgelassen_1_1,ql)
    & sort(freude_1_1,ad)
    & card(freude_1_1,int1)
    & etype(freude_1_1,int0)
    & fact(freude_1_1,real)
    & gener(freude_1_1,ge)
    & quant(freude_1_1,one)
    & refer(freude_1_1,refer_c)
    & varia(freude_1_1,varia_c)
    & sort(c55,st)
    & fact(c55,real)
    & gener(c55,sp)
    & sort(equ_0,st)
    & fact(equ_0,real)
    & gener(equ_0,gener_c) ),
    file('/tmp/tmpoBMo8o/sel_CSR116+3.p_1',ave07_era5_synth_qa07_010_mira_news_1596) ).

fof(92,conjecture,
    ? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( pmod(X9,erst_1_1,pr__344sident_1_1)
      & arg1(X4,X1)
      & arg2(X4,X5)
      & 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/tmpoBMo8o/sel_CSR116+3.p_1',synth_qa07_010_mira_news_1596) ).

fof(93,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
        ( pmod(X9,erst_1_1,pr__344sident_1_1)
        & arg1(X4,X1)
        & arg2(X4,X5)
        & 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)],[92]) ).

fof(113,plain,
    ! [X3,X4] : member(X3,cons(X3,X4)),
    inference(variable_rename,[status(thm)],[7]) ).

cnf(114,plain,
    member(X1,cons(X1,X2)),
    inference(split_conjunct,[status(thm)],[113]) ).

fof(155,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)],[25]) ).

fof(156,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)],[155]) ).

fof(157,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(esk7_3(X5,X6,X7),X7)
        & arg2(esk7_3(X5,X6,X7),X7)
        & subs(esk7_3(X5,X6,X7),hei__337en_1_1) ) ),
    inference(skolemize,[status(esa)],[156]) ).

fof(158,plain,
    ! [X5,X6,X7] :
      ( ( arg1(esk7_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(esk7_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(esk7_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)],[157]) ).

cnf(159,plain,
    ( subs(esk7_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)],[158]) ).

cnf(160,plain,
    ( arg2(esk7_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)],[158]) ).

cnf(161,plain,
    ( arg1(esk7_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)],[158]) ).

fof(303,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)],[86]) ).

fof(304,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)],[303]) ).

fof(305,plain,
    ! [X6,X7,X8] :
      ( ~ arg1(X6,X7)
      | ~ arg2(X6,X8)
      | ~ subs(X6,hei__337en_1_1)
      | ( arg1(esk13_3(X6,X7,X8),X7)
        & arg2(esk13_3(X6,X7,X8),X8)
        & hsit(X6,esk12_3(X6,X7,X8))
        & mcont(esk12_3(X6,X7,X8),esk13_3(X6,X7,X8))
        & obj(esk12_3(X6,X7,X8),X7)
        & subr(esk13_3(X6,X7,X8),rprs_0)
        & subs(esk12_3(X6,X7,X8),bezeichnen_1_1) ) ),
    inference(skolemize,[status(esa)],[304]) ).

fof(306,plain,
    ! [X6,X7,X8] :
      ( ( arg1(esk13_3(X6,X7,X8),X7)
        | ~ arg1(X6,X7)
        | ~ arg2(X6,X8)
        | ~ subs(X6,hei__337en_1_1) )
      & ( arg2(esk13_3(X6,X7,X8),X8)
        | ~ arg1(X6,X7)
        | ~ arg2(X6,X8)
        | ~ subs(X6,hei__337en_1_1) )
      & ( hsit(X6,esk12_3(X6,X7,X8))
        | ~ arg1(X6,X7)
        | ~ arg2(X6,X8)
        | ~ subs(X6,hei__337en_1_1) )
      & ( mcont(esk12_3(X6,X7,X8),esk13_3(X6,X7,X8))
        | ~ arg1(X6,X7)
        | ~ arg2(X6,X8)
        | ~ subs(X6,hei__337en_1_1) )
      & ( obj(esk12_3(X6,X7,X8),X7)
        | ~ arg1(X6,X7)
        | ~ arg2(X6,X8)
        | ~ subs(X6,hei__337en_1_1) )
      & ( subr(esk13_3(X6,X7,X8),rprs_0)
        | ~ arg1(X6,X7)
        | ~ arg2(X6,X8)
        | ~ subs(X6,hei__337en_1_1) )
      & ( subs(esk12_3(X6,X7,X8),bezeichnen_1_1)
        | ~ arg1(X6,X7)
        | ~ arg2(X6,X8)
        | ~ subs(X6,hei__337en_1_1) ) ),
    inference(distribute,[status(thm)],[305]) ).

cnf(308,plain,
    ( subr(esk13_3(X1,X3,X2),rprs_0)
    | ~ subs(X1,hei__337en_1_1)
    | ~ arg2(X1,X2)
    | ~ arg1(X1,X3) ),
    inference(split_conjunct,[status(thm)],[306]) ).

cnf(312,plain,
    ( arg2(esk13_3(X1,X3,X2),X2)
    | ~ subs(X1,hei__337en_1_1)
    | ~ arg2(X1,X2)
    | ~ arg1(X1,X3) ),
    inference(split_conjunct,[status(thm)],[306]) ).

cnf(313,plain,
    ( arg1(esk13_3(X1,X3,X2),X3)
    | ~ subs(X1,hei__337en_1_1)
    | ~ arg2(X1,X2)
    | ~ arg1(X1,X3) ),
    inference(split_conjunct,[status(thm)],[306]) ).

cnf(611,plain,
    obj(c43,c193),
    inference(split_conjunct,[status(thm)],[91]) ).

cnf(618,plain,
    val(c195,mandela_0),
    inference(split_conjunct,[status(thm)],[91]) ).

cnf(619,plain,
    sub(c195,familiename_1_1),
    inference(split_conjunct,[status(thm)],[91]) ).

cnf(620,plain,
    val(c194,nelson_0),
    inference(split_conjunct,[status(thm)],[91]) ).

cnf(621,plain,
    sub(c194,eigenname_1_1),
    inference(split_conjunct,[status(thm)],[91]) ).

cnf(622,plain,
    sub(c193,c183),
    inference(split_conjunct,[status(thm)],[91]) ).

cnf(623,plain,
    prop(c193,schwarz_1_1),
    inference(split_conjunct,[status(thm)],[91]) ).

cnf(625,plain,
    attr(c193,c195),
    inference(split_conjunct,[status(thm)],[91]) ).

cnf(626,plain,
    attr(c193,c194),
    inference(split_conjunct,[status(thm)],[91]) ).

cnf(629,plain,
    val(c188,s__374dafrika_0),
    inference(split_conjunct,[status(thm)],[91]) ).

cnf(630,plain,
    sub(c188,name_1_1),
    inference(split_conjunct,[status(thm)],[91]) ).

cnf(632,plain,
    attr(c187,c188),
    inference(split_conjunct,[status(thm)],[91]) ).

cnf(634,plain,
    pmod(c183,erst_1_1,pr__344sident_1_1),
    inference(split_conjunct,[status(thm)],[91]) ).

fof(645,negated_conjecture,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ pmod(X9,erst_1_1,pr__344sident_1_1)
      | ~ arg1(X4,X1)
      | ~ arg2(X4,X5)
      | ~ 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)],[93]) ).

fof(646,negated_conjecture,
    ! [X10,X11,X12,X13,X14,X15,X16,X17,X18] :
      ( ~ pmod(X18,erst_1_1,pr__344sident_1_1)
      | ~ arg1(X13,X10)
      | ~ arg2(X13,X14)
      | ~ 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)],[645]) ).

cnf(647,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)
    | ~ arg2(X4,X5)
    | ~ arg1(X4,X8)
    | ~ pmod(X6,erst_1_1,pr__344sident_1_1) ),
    inference(split_conjunct,[status(thm)],[646]) ).

cnf(969,plain,
    ( arg1(esk7_3(X1,eigenname_1_1,X2),X2)
    | ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,X1) ),
    inference(spm,[status(thm)],[161,114,theory(equality)]) ).

cnf(975,plain,
    ( arg2(esk7_3(X1,eigenname_1_1,X2),X2)
    | ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,X1) ),
    inference(spm,[status(thm)],[160,114,theory(equality)]) ).

cnf(992,plain,
    ( subs(esk7_3(X1,eigenname_1_1,X2),hei__337en_1_1)
    | ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,X1) ),
    inference(spm,[status(thm)],[159,114,theory(equality)]) ).

fof(994,plain,
    ( ~ epred1_0
  <=> ! [X2,X8,X5,X7,X6,X3,X4] :
        ( ~ prop(X5,schwarz_1_1)
        | ~ attr(X8,X2)
        | ~ attr(X8,X3)
        | ~ sub(X5,X6)
        | ~ sub(X2,eigenname_1_1)
        | ~ sub(X3,familiename_1_1)
        | ~ val(X2,nelson_0)
        | ~ val(X3,mandela_0)
        | ~ obj(X7,X8)
        | ~ arg1(X4,X8)
        | ~ arg2(X4,X5)
        | ~ pmod(X6,erst_1_1,pr__344sident_1_1)
        | ~ subr(X4,rprs_0) ) ),
    introduced(definition),
    [split] ).

cnf(995,plain,
    ( epred1_0
    | ~ prop(X5,schwarz_1_1)
    | ~ attr(X8,X2)
    | ~ attr(X8,X3)
    | ~ sub(X5,X6)
    | ~ sub(X2,eigenname_1_1)
    | ~ sub(X3,familiename_1_1)
    | ~ val(X2,nelson_0)
    | ~ val(X3,mandela_0)
    | ~ obj(X7,X8)
    | ~ arg1(X4,X8)
    | ~ arg2(X4,X5)
    | ~ pmod(X6,erst_1_1,pr__344sident_1_1)
    | ~ subr(X4,rprs_0) ),
    inference(split_equiv,[status(thm)],[994]) ).

fof(996,plain,
    ( ~ epred2_0
  <=> ! [X9,X1] :
        ( ~ attr(X9,X1)
        | ~ sub(X1,name_1_1)
        | ~ val(X1,s__374dafrika_0) ) ),
    introduced(definition),
    [split] ).

cnf(997,plain,
    ( epred2_0
    | ~ attr(X9,X1)
    | ~ sub(X1,name_1_1)
    | ~ val(X1,s__374dafrika_0) ),
    inference(split_equiv,[status(thm)],[996]) ).

cnf(998,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[647,994,theory(equality)]),996,theory(equality)]),
    [split] ).

cnf(999,plain,
    ( epred2_0
    | ~ sub(c188,name_1_1)
    | ~ attr(X1,c188) ),
    inference(spm,[status(thm)],[997,629,theory(equality)]) ).

cnf(1002,plain,
    ( epred2_0
    | $false
    | ~ attr(X1,c188) ),
    inference(rw,[status(thm)],[999,630,theory(equality)]) ).

cnf(1003,plain,
    ( epred2_0
    | ~ attr(X1,c188) ),
    inference(cn,[status(thm)],[1002,theory(equality)]) ).

cnf(1004,plain,
    epred2_0,
    inference(spm,[status(thm)],[1003,632,theory(equality)]) ).

cnf(1007,negated_conjecture,
    ( $false
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[998,1004,theory(equality)]) ).

cnf(1008,negated_conjecture,
    ~ epred1_0,
    inference(cn,[status(thm)],[1007,theory(equality)]) ).

cnf(1009,negated_conjecture,
    ( ~ prop(X5,schwarz_1_1)
    | ~ attr(X8,X2)
    | ~ attr(X8,X3)
    | ~ sub(X5,X6)
    | ~ sub(X2,eigenname_1_1)
    | ~ sub(X3,familiename_1_1)
    | ~ val(X2,nelson_0)
    | ~ val(X3,mandela_0)
    | ~ obj(X7,X8)
    | ~ arg1(X4,X8)
    | ~ arg2(X4,X5)
    | ~ pmod(X6,erst_1_1,pr__344sident_1_1)
    | ~ subr(X4,rprs_0) ),
    inference(sr,[status(thm)],[995,1008,theory(equality)]) ).

cnf(1010,plain,
    ( ~ subr(X1,rprs_0)
    | ~ arg2(X1,X2)
    | ~ arg1(X1,X3)
    | ~ obj(X4,X3)
    | ~ val(X5,nelson_0)
    | ~ val(X6,mandela_0)
    | ~ sub(X5,eigenname_1_1)
    | ~ sub(X6,familiename_1_1)
    | ~ sub(X2,c183)
    | ~ attr(X3,X5)
    | ~ attr(X3,X6)
    | ~ prop(X2,schwarz_1_1) ),
    inference(spm,[status(thm)],[1009,634,theory(equality)]) ).

cnf(1011,plain,
    ( ~ arg2(esk13_3(X1,X2,X3),X4)
    | ~ arg1(esk13_3(X1,X2,X3),X5)
    | ~ obj(X6,X5)
    | ~ val(X7,nelson_0)
    | ~ val(X8,mandela_0)
    | ~ sub(X7,eigenname_1_1)
    | ~ sub(X8,familiename_1_1)
    | ~ sub(X4,c183)
    | ~ attr(X5,X7)
    | ~ attr(X5,X8)
    | ~ prop(X4,schwarz_1_1)
    | ~ arg2(X1,X3)
    | ~ arg1(X1,X2)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(spm,[status(thm)],[1010,308,theory(equality)]) ).

cnf(1012,plain,
    ( ~ arg2(X1,X3)
    | ~ arg1(esk13_3(X1,X2,X3),X4)
    | ~ arg1(X1,X2)
    | ~ obj(X5,X4)
    | ~ val(X6,nelson_0)
    | ~ val(X7,mandela_0)
    | ~ sub(X6,eigenname_1_1)
    | ~ sub(X7,familiename_1_1)
    | ~ sub(X3,c183)
    | ~ attr(X4,X6)
    | ~ attr(X4,X7)
    | ~ prop(X3,schwarz_1_1)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(spm,[status(thm)],[1011,312,theory(equality)]) ).

cnf(1013,plain,
    ( ~ arg2(X1,X2)
    | ~ arg1(X1,X3)
    | ~ obj(X4,X3)
    | ~ val(X5,nelson_0)
    | ~ val(X6,mandela_0)
    | ~ sub(X5,eigenname_1_1)
    | ~ sub(X6,familiename_1_1)
    | ~ sub(X2,c183)
    | ~ attr(X3,X5)
    | ~ attr(X3,X6)
    | ~ prop(X2,schwarz_1_1)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(spm,[status(thm)],[1012,313,theory(equality)]) ).

cnf(1014,plain,
    ( ~ arg2(X1,X2)
    | ~ arg1(X1,X3)
    | ~ obj(X4,X3)
    | ~ val(X5,mandela_0)
    | ~ sub(c194,eigenname_1_1)
    | ~ sub(X5,familiename_1_1)
    | ~ sub(X2,c183)
    | ~ attr(X3,c194)
    | ~ attr(X3,X5)
    | ~ prop(X2,schwarz_1_1)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(spm,[status(thm)],[1013,620,theory(equality)]) ).

cnf(1017,plain,
    ( ~ arg2(X1,X2)
    | ~ arg1(X1,X3)
    | ~ obj(X4,X3)
    | ~ val(X5,mandela_0)
    | $false
    | ~ sub(X5,familiename_1_1)
    | ~ sub(X2,c183)
    | ~ attr(X3,c194)
    | ~ attr(X3,X5)
    | ~ prop(X2,schwarz_1_1)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(rw,[status(thm)],[1014,621,theory(equality)]) ).

cnf(1018,plain,
    ( ~ arg2(X1,X2)
    | ~ arg1(X1,X3)
    | ~ obj(X4,X3)
    | ~ val(X5,mandela_0)
    | ~ sub(X5,familiename_1_1)
    | ~ sub(X2,c183)
    | ~ attr(X3,c194)
    | ~ attr(X3,X5)
    | ~ prop(X2,schwarz_1_1)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(cn,[status(thm)],[1017,theory(equality)]) ).

cnf(1019,plain,
    ( ~ arg2(X1,X2)
    | ~ arg1(X1,X3)
    | ~ obj(X4,X3)
    | ~ sub(c195,familiename_1_1)
    | ~ sub(X2,c183)
    | ~ attr(X3,c194)
    | ~ attr(X3,c195)
    | ~ prop(X2,schwarz_1_1)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(spm,[status(thm)],[1018,618,theory(equality)]) ).

cnf(1022,plain,
    ( ~ arg2(X1,X2)
    | ~ arg1(X1,X3)
    | ~ obj(X4,X3)
    | $false
    | ~ sub(X2,c183)
    | ~ attr(X3,c194)
    | ~ attr(X3,c195)
    | ~ prop(X2,schwarz_1_1)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(rw,[status(thm)],[1019,619,theory(equality)]) ).

cnf(1023,plain,
    ( ~ arg2(X1,X2)
    | ~ arg1(X1,X3)
    | ~ obj(X4,X3)
    | ~ sub(X2,c183)
    | ~ attr(X3,c194)
    | ~ attr(X3,c195)
    | ~ prop(X2,schwarz_1_1)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(cn,[status(thm)],[1022,theory(equality)]) ).

cnf(1127,plain,
    ( ~ arg1(esk7_3(X1,eigenname_1_1,X2),X3)
    | ~ obj(X4,X3)
    | ~ sub(X2,c183)
    | ~ attr(X3,c194)
    | ~ attr(X3,c195)
    | ~ prop(X2,schwarz_1_1)
    | ~ subs(esk7_3(X1,eigenname_1_1,X2),hei__337en_1_1)
    | ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,X1) ),
    inference(spm,[status(thm)],[1023,975,theory(equality)]) ).

cnf(1135,plain,
    ( ~ obj(X3,X2)
    | ~ sub(X2,c183)
    | ~ sub(X1,eigenname_1_1)
    | ~ attr(X2,c194)
    | ~ attr(X2,c195)
    | ~ attr(X2,X1)
    | ~ prop(X2,schwarz_1_1)
    | ~ subs(esk7_3(X1,eigenname_1_1,X2),hei__337en_1_1) ),
    inference(spm,[status(thm)],[1127,969,theory(equality)]) ).

cnf(1347,plain,
    ( ~ obj(X1,X2)
    | ~ sub(X2,c183)
    | ~ sub(X3,eigenname_1_1)
    | ~ attr(X2,c194)
    | ~ attr(X2,c195)
    | ~ attr(X2,X3)
    | ~ prop(X2,schwarz_1_1) ),
    inference(spm,[status(thm)],[1135,992,theory(equality)]) ).

cnf(1352,plain,
    ( ~ sub(c193,c183)
    | ~ sub(X1,eigenname_1_1)
    | ~ attr(c193,c194)
    | ~ attr(c193,c195)
    | ~ attr(c193,X1)
    | ~ prop(c193,schwarz_1_1) ),
    inference(spm,[status(thm)],[1347,611,theory(equality)]) ).

cnf(1356,plain,
    ( $false
    | ~ sub(X1,eigenname_1_1)
    | ~ attr(c193,c194)
    | ~ attr(c193,c195)
    | ~ attr(c193,X1)
    | ~ prop(c193,schwarz_1_1) ),
    inference(rw,[status(thm)],[1352,622,theory(equality)]) ).

cnf(1357,plain,
    ( $false
    | ~ sub(X1,eigenname_1_1)
    | $false
    | ~ attr(c193,c195)
    | ~ attr(c193,X1)
    | ~ prop(c193,schwarz_1_1) ),
    inference(rw,[status(thm)],[1356,626,theory(equality)]) ).

cnf(1358,plain,
    ( $false
    | ~ sub(X1,eigenname_1_1)
    | $false
    | $false
    | ~ attr(c193,X1)
    | ~ prop(c193,schwarz_1_1) ),
    inference(rw,[status(thm)],[1357,625,theory(equality)]) ).

cnf(1359,plain,
    ( $false
    | ~ sub(X1,eigenname_1_1)
    | $false
    | $false
    | ~ attr(c193,X1)
    | $false ),
    inference(rw,[status(thm)],[1358,623,theory(equality)]) ).

cnf(1360,plain,
    ( ~ sub(X1,eigenname_1_1)
    | ~ attr(c193,X1) ),
    inference(cn,[status(thm)],[1359,theory(equality)]) ).

cnf(1361,plain,
    ~ sub(c194,eigenname_1_1),
    inference(spm,[status(thm)],[1360,626,theory(equality)]) ).

cnf(1363,plain,
    $false,
    inference(rw,[status(thm)],[1361,621,theory(equality)]) ).

cnf(1364,plain,
    $false,
    inference(cn,[status(thm)],[1363,theory(equality)]) ).

cnf(1365,plain,
    $false,
    1364,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR116+3.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmpoBMo8o/sel_CSR116+3.p_1 with time limit 29
% -prover status Theorem
% Problem CSR116+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR116+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR116+3.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
% 
%------------------------------------------------------------------------------