%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR116+34 : 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 08:00:39 EST 2010
% Result : Theorem 1.86s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 9
% Syntax : Number of formulae : 85 ( 21 unt; 0 def)
% Number of atoms : 708 ( 0 equ)
% Maximal formula atoms : 264 ( 8 avg)
% Number of connectives : 938 ( 315 ~; 284 |; 333 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 264 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 5 prp; 0-8 aty)
% Number of functors : 71 ( 71 usr; 67 con; 0-3 aty)
% Number of variables : 234 ( 39 sgn 64 !; 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/tmp4DnUPU/sel_CSR116+34.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/tmp4DnUPU/sel_CSR116+34.p_1',attr_name_hei__337en_1_1) ).
fof(34,axiom,
! [X1,X2] : member(X1,cons(X1,X2)),
file('/tmp/tmp4DnUPU/sel_CSR116+34.p_1',member_first) ).
fof(83,conjecture,
? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( arg1(X4,X1)
& arg2(X4,X5)
& attr(X1,X2)
& attr(X1,X3)
& attr(X6,X7)
& obj(X8,X1)
& 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/tmp4DnUPU/sel_CSR116+34.p_1',synth_qa07_010_mira_wp_712) ).
fof(84,axiom,
( attr(c177,c178)
& sub(c177,mensch_1_1)
& sub(c178,familiename_1_1)
& val(c178,samora_0)
& attch(c181,c183)
& attr(c181,c182)
& sub(c181,mensch_1_1)
& sub(c182,familiename_1_1)
& val(c182,machel_0)
& sub(c183,c186)
& sub(c185,gra__347a_1_1)
& pmod(c186,zweit_1_1,frau_1_1)
& attr(c193,c194)
& sub(c193,mensch_1_1)
& sub(c194,familiename_1_1)
& val(c194,machel_0)
& attr(c198,c199)
& sub(c199,jahr__1_1)
& val(c199,c195)
& sub(c200,pr__344sident_1_1)
& attch(c206,c210)
& attr(c206,c207)
& sub(c206,land_1_1)
& sub(c207,name_1_1)
& val(c207,s__374dafrika_0)
& attr(c210,c211)
& attr(c210,c212)
& sub(c210,mensch_1_1)
& sub(c211,eigenname_1_1)
& val(c211,nelson_0)
& sub(c212,familiename_1_1)
& val(c212,mandela_0)
& tupl_p8(c275,c177,c183,c185,c193,c198,c200,c210)
& sort(c177,d)
& card(c177,int1)
& etype(c177,int0)
& fact(c177,real)
& gener(c177,sp)
& quant(c177,one)
& refer(c177,det)
& varia(c177,con)
& sort(c178,na)
& card(c178,int1)
& etype(c178,int0)
& fact(c178,real)
& gener(c178,sp)
& quant(c178,one)
& refer(c178,indet)
& varia(c178,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(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(samora_0,fe)
& sort(c181,d)
& card(c181,int1)
& etype(c181,int0)
& fact(c181,real)
& gener(c181,sp)
& quant(c181,one)
& refer(c181,det)
& varia(c181,con)
& sort(c183,d)
& card(c183,int1)
& etype(c183,int0)
& fact(c183,real)
& gener(c183,sp)
& quant(c183,one)
& refer(c183,det)
& varia(c183,varia_c)
& sort(c182,na)
& card(c182,int1)
& etype(c182,int0)
& fact(c182,real)
& gener(c182,sp)
& quant(c182,one)
& refer(c182,indet)
& varia(c182,varia_c)
& sort(machel_0,fe)
& sort(c186,d)
& card(c186,int1)
& etype(c186,int0)
& fact(c186,real)
& gener(c186,ge)
& quant(c186,one)
& refer(c186,refer_c)
& varia(c186,varia_c)
& sort(c185,o)
& card(c185,int1)
& etype(c185,int0)
& fact(c185,real)
& gener(c185,gener_c)
& quant(c185,one)
& refer(c185,refer_c)
& varia(c185,varia_c)
& sort(gra__347a_1_1,o)
& card(gra__347a_1_1,int1)
& etype(gra__347a_1_1,int0)
& fact(gra__347a_1_1,real)
& gener(gra__347a_1_1,ge)
& quant(gra__347a_1_1,one)
& refer(gra__347a_1_1,refer_c)
& varia(gra__347a_1_1,varia_c)
& sort(zweit_1_1,oq)
& card(zweit_1_1,int2)
& sort(frau_1_1,d)
& card(frau_1_1,int1)
& etype(frau_1_1,int0)
& fact(frau_1_1,real)
& gener(frau_1_1,ge)
& quant(frau_1_1,one)
& refer(frau_1_1,refer_c)
& varia(frau_1_1,varia_c)
& 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(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(c198,t)
& card(c198,int1)
& etype(c198,int0)
& fact(c198,real)
& gener(c198,sp)
& quant(c198,one)
& refer(c198,det)
& varia(c198,con)
& sort(c199,me)
& sort(c199,oa)
& sort(c199,ta)
& card(c199,card_c)
& etype(c199,etype_c)
& fact(c199,real)
& gener(c199,sp)
& quant(c199,quant_c)
& refer(c199,refer_c)
& varia(c199,varia_c)
& 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(c195,nu)
& card(c195,int1998)
& sort(c200,d)
& card(c200,int1)
& etype(c200,int0)
& fact(c200,real)
& gener(c200,sp)
& quant(c200,one)
& refer(c200,det)
& varia(c200,con)
& 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(c206,d)
& sort(c206,io)
& card(c206,int1)
& etype(c206,int0)
& fact(c206,real)
& gener(c206,sp)
& quant(c206,one)
& refer(c206,det)
& varia(c206,con)
& sort(c210,d)
& card(c210,int1)
& etype(c210,int0)
& fact(c210,real)
& gener(c210,sp)
& quant(c210,one)
& refer(c210,det)
& varia(c210,con)
& sort(c207,na)
& card(c207,int1)
& etype(c207,int0)
& fact(c207,real)
& gener(c207,sp)
& quant(c207,one)
& refer(c207,indet)
& varia(c207,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(c211,na)
& card(c211,int1)
& etype(c211,int0)
& fact(c211,real)
& gener(c211,sp)
& quant(c211,one)
& refer(c211,indet)
& varia(c211,varia_c)
& sort(c212,na)
& card(c212,int1)
& etype(c212,int0)
& fact(c212,real)
& gener(c212,sp)
& quant(c212,one)
& refer(c212,indet)
& varia(c212,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(mandela_0,fe)
& sort(c275,ent)
& card(c275,card_c)
& etype(c275,etype_c)
& fact(c275,real)
& gener(c275,gener_c)
& quant(c275,quant_c)
& refer(c275,refer_c)
& varia(c275,varia_c) ),
file('/tmp/tmp4DnUPU/sel_CSR116+34.p_1',ave07_era5_synth_qa07_010_mira_wp_712) ).
fof(85,negated_conjecture,
~ ? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( arg1(X4,X1)
& arg2(X4,X5)
& attr(X1,X2)
& attr(X1,X3)
& attr(X6,X7)
& obj(X8,X1)
& 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)],[83]) ).
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(104,plain,
( arg2(esk3_3(X1,X3,X2),X2)
| ~ 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(116,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(117,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)],[116]) ).
fof(118,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)],[117]) ).
fof(119,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)],[118]) ).
cnf(120,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)],[119]) ).
cnf(121,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)],[119]) ).
cnf(122,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)],[119]) ).
fof(199,plain,
! [X3,X4] : member(X3,cons(X3,X4)),
inference(variable_rename,[status(thm)],[34]) ).
cnf(200,plain,
member(X1,cons(X1,X2)),
inference(split_conjunct,[status(thm)],[199]) ).
fof(319,negated_conjecture,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ arg1(X4,X1)
| ~ arg2(X4,X5)
| ~ attr(X1,X2)
| ~ attr(X1,X3)
| ~ attr(X6,X7)
| ~ obj(X8,X1)
| ~ 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)],[85]) ).
fof(320,negated_conjecture,
! [X10,X11,X12,X13,X14,X15,X16,X17,X18] :
( ~ arg1(X13,X10)
| ~ arg2(X13,X14)
| ~ attr(X10,X11)
| ~ attr(X10,X12)
| ~ attr(X15,X16)
| ~ obj(X17,X10)
| ~ 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)],[319]) ).
cnf(321,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)
| ~ obj(X7,X8)
| ~ attr(X9,X1)
| ~ attr(X8,X2)
| ~ attr(X8,X3)
| ~ arg2(X4,X5)
| ~ arg1(X4,X8) ),
inference(split_conjunct,[status(thm)],[320]) ).
cnf(554,plain,
val(c212,mandela_0),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(555,plain,
sub(c212,familiename_1_1),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(556,plain,
val(c211,nelson_0),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(557,plain,
sub(c211,eigenname_1_1),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(558,plain,
sub(c210,mensch_1_1),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(559,plain,
attr(c210,c212),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(560,plain,
attr(c210,c211),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(561,plain,
val(c207,s__374dafrika_0),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(562,plain,
sub(c207,name_1_1),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(564,plain,
attr(c206,c207),
inference(split_conjunct,[status(thm)],[84]) ).
fof(838,plain,
( ~ epred1_0
<=> ! [X8,X7,X5,X4,X2,X6,X3] :
( ~ arg1(X4,X8)
| ~ arg2(X4,X5)
| ~ obj(X7,X8)
| ~ subr(X4,rprs_0)
| ~ sub(X5,X6)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ attr(X8,X2)
| ~ attr(X8,X3)
| ~ val(X2,nelson_0)
| ~ val(X3,mandela_0) ) ),
introduced(definition),
[split] ).
cnf(839,plain,
( epred1_0
| ~ arg1(X4,X8)
| ~ arg2(X4,X5)
| ~ obj(X7,X8)
| ~ subr(X4,rprs_0)
| ~ sub(X5,X6)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ attr(X8,X2)
| ~ attr(X8,X3)
| ~ val(X2,nelson_0)
| ~ val(X3,mandela_0) ),
inference(split_equiv,[status(thm)],[838]) ).
fof(840,plain,
( ~ epred2_0
<=> ! [X9,X1] :
( ~ sub(X1,name_1_1)
| ~ attr(X9,X1)
| ~ val(X1,s__374dafrika_0) ) ),
introduced(definition),
[split] ).
cnf(841,plain,
( epred2_0
| ~ sub(X1,name_1_1)
| ~ attr(X9,X1)
| ~ val(X1,s__374dafrika_0) ),
inference(split_equiv,[status(thm)],[840]) ).
cnf(842,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[321,838,theory(equality)]),840,theory(equality)]),
[split] ).
cnf(843,plain,
( epred2_0
| ~ attr(X1,c207)
| ~ sub(c207,name_1_1) ),
inference(spm,[status(thm)],[841,561,theory(equality)]) ).
cnf(845,plain,
( epred2_0
| ~ attr(X1,c207)
| $false ),
inference(rw,[status(thm)],[843,562,theory(equality)]) ).
cnf(846,plain,
( epred2_0
| ~ attr(X1,c207) ),
inference(cn,[status(thm)],[845,theory(equality)]) ).
cnf(847,plain,
epred2_0,
inference(spm,[status(thm)],[846,564,theory(equality)]) ).
cnf(850,negated_conjecture,
( $false
| ~ epred1_0 ),
inference(rw,[status(thm)],[842,847,theory(equality)]) ).
cnf(851,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[850,theory(equality)]) ).
cnf(852,negated_conjecture,
( ~ arg1(X4,X8)
| ~ arg2(X4,X5)
| ~ obj(X7,X8)
| ~ subr(X4,rprs_0)
| ~ sub(X5,X6)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ attr(X8,X2)
| ~ attr(X8,X3)
| ~ val(X2,nelson_0)
| ~ val(X3,mandela_0) ),
inference(sr,[status(thm)],[839,851,theory(equality)]) ).
cnf(853,plain,
( ~ val(X1,mandela_0)
| ~ attr(X2,c211)
| ~ attr(X2,X1)
| ~ sub(c211,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ sub(X3,X4)
| ~ subr(X5,rprs_0)
| ~ obj(X6,X2)
| ~ arg2(X5,X3)
| ~ arg1(X5,X2) ),
inference(spm,[status(thm)],[852,556,theory(equality)]) ).
cnf(855,plain,
( ~ val(X1,mandela_0)
| ~ attr(X2,c211)
| ~ attr(X2,X1)
| $false
| ~ sub(X1,familiename_1_1)
| ~ sub(X3,X4)
| ~ subr(X5,rprs_0)
| ~ obj(X6,X2)
| ~ arg2(X5,X3)
| ~ arg1(X5,X2) ),
inference(rw,[status(thm)],[853,557,theory(equality)]) ).
cnf(856,plain,
( ~ val(X1,mandela_0)
| ~ attr(X2,c211)
| ~ attr(X2,X1)
| ~ sub(X1,familiename_1_1)
| ~ sub(X3,X4)
| ~ subr(X5,rprs_0)
| ~ obj(X6,X2)
| ~ arg2(X5,X3)
| ~ arg1(X5,X2) ),
inference(cn,[status(thm)],[855,theory(equality)]) ).
cnf(857,plain,
( ~ attr(X1,c211)
| ~ attr(X1,c212)
| ~ sub(c212,familiename_1_1)
| ~ sub(X2,X3)
| ~ subr(X4,rprs_0)
| ~ obj(X5,X1)
| ~ arg2(X4,X2)
| ~ arg1(X4,X1) ),
inference(spm,[status(thm)],[856,554,theory(equality)]) ).
cnf(859,plain,
( ~ attr(X1,c211)
| ~ attr(X1,c212)
| $false
| ~ sub(X2,X3)
| ~ subr(X4,rprs_0)
| ~ obj(X5,X1)
| ~ arg2(X4,X2)
| ~ arg1(X4,X1) ),
inference(rw,[status(thm)],[857,555,theory(equality)]) ).
cnf(860,plain,
( ~ attr(X1,c211)
| ~ attr(X1,c212)
| ~ sub(X2,X3)
| ~ subr(X4,rprs_0)
| ~ obj(X5,X1)
| ~ arg2(X4,X2)
| ~ arg1(X4,X1) ),
inference(cn,[status(thm)],[859,theory(equality)]) ).
cnf(861,plain,
( ~ attr(X1,c211)
| ~ attr(X1,c212)
| ~ sub(X2,X3)
| ~ obj(X7,X1)
| ~ arg2(esk3_3(X4,X5,X6),X2)
| ~ arg1(esk3_3(X4,X5,X6),X1)
| ~ arg2(X4,X6)
| ~ arg1(X4,X5)
| ~ subs(X4,hei__337en_1_1) ),
inference(spm,[status(thm)],[860,100,theory(equality)]) ).
cnf(862,plain,
( ~ attr(X1,c211)
| ~ attr(X1,c212)
| ~ sub(X2,X3)
| ~ obj(X4,X1)
| ~ arg2(X5,X2)
| ~ arg1(esk3_3(X5,X6,X2),X1)
| ~ arg1(X5,X6)
| ~ subs(X5,hei__337en_1_1) ),
inference(spm,[status(thm)],[861,104,theory(equality)]) ).
cnf(863,plain,
( ~ attr(X1,c211)
| ~ attr(X1,c212)
| ~ sub(X2,X3)
| ~ obj(X4,X1)
| ~ arg2(X5,X2)
| ~ arg1(X5,X1)
| ~ subs(X5,hei__337en_1_1) ),
inference(spm,[status(thm)],[862,105,theory(equality)]) ).
cnf(881,plain,
( ~ attr(X1,c211)
| ~ attr(X1,c212)
| ~ obj(X2,X1)
| ~ arg2(X3,c210)
| ~ arg1(X3,X1)
| ~ subs(X3,hei__337en_1_1) ),
inference(spm,[status(thm)],[863,558,theory(equality)]) ).
cnf(922,plain,
( ~ attr(X1,c211)
| ~ attr(X1,c212)
| ~ obj(X2,X1)
| ~ arg1(esk4_3(X3,X4,c210),X1)
| ~ subs(esk4_3(X3,X4,c210),hei__337en_1_1)
| ~ member(X4,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c210,X3)
| ~ sub(X3,X4) ),
inference(spm,[status(thm)],[881,121,theory(equality)]) ).
cnf(2162,plain,
( ~ member(X4,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c210,X3)
| ~ attr(X1,c211)
| ~ attr(X1,c212)
| ~ sub(X3,X4)
| ~ obj(X2,X1)
| ~ arg1(esk4_3(X3,X4,c210),X1) ),
inference(csr,[status(thm)],[922,120]) ).
cnf(2163,plain,
( ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c210,c211)
| ~ attr(c210,c212)
| ~ attr(c210,X2)
| ~ sub(X2,X1)
| ~ obj(X3,c210) ),
inference(spm,[status(thm)],[2162,122,theory(equality)]) ).
cnf(2164,plain,
( ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| $false
| ~ attr(c210,c212)
| ~ attr(c210,X2)
| ~ sub(X2,X1)
| ~ obj(X3,c210) ),
inference(rw,[status(thm)],[2163,560,theory(equality)]) ).
cnf(2165,plain,
( ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| $false
| $false
| ~ attr(c210,X2)
| ~ sub(X2,X1)
| ~ obj(X3,c210) ),
inference(rw,[status(thm)],[2164,559,theory(equality)]) ).
cnf(2166,plain,
( ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c210,X2)
| ~ sub(X2,X1)
| ~ obj(X3,c210) ),
inference(cn,[status(thm)],[2165,theory(equality)]) ).
fof(2167,plain,
( ~ epred33_0
<=> ! [X2,X1] :
( ~ sub(X2,X1)
| ~ attr(c210,X2)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ) ),
introduced(definition),
[split] ).
cnf(2168,plain,
( epred33_0
| ~ sub(X2,X1)
| ~ attr(c210,X2)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(split_equiv,[status(thm)],[2167]) ).
fof(2169,plain,
( ~ epred34_0
<=> ! [X3] : ~ obj(X3,c210) ),
introduced(definition),
[split] ).
cnf(2170,plain,
( epred34_0
| ~ obj(X3,c210) ),
inference(split_equiv,[status(thm)],[2169]) ).
cnf(2171,plain,
( ~ epred34_0
| ~ epred33_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[2166,2167,theory(equality)]),2169,theory(equality)]),
[split] ).
cnf(2172,plain,
( epred34_0
| ~ arg2(X1,X2)
| ~ arg1(X1,c210)
| ~ subs(X1,hei__337en_1_1) ),
inference(spm,[status(thm)],[2170,101,theory(equality)]) ).
cnf(2176,plain,
( epred34_0
| ~ arg1(esk4_3(X1,X2,X3),c210)
| ~ subs(esk4_3(X1,X2,X3),hei__337en_1_1)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X3,X1)
| ~ sub(X1,X2) ),
inference(spm,[status(thm)],[2172,121,theory(equality)]) ).
cnf(2196,plain,
( epred33_0
| ~ attr(c210,X1)
| ~ sub(X1,eigenname_1_1) ),
inference(spm,[status(thm)],[2168,200,theory(equality)]) ).
cnf(2198,plain,
( epred33_0
| ~ sub(c211,eigenname_1_1) ),
inference(spm,[status(thm)],[2196,560,theory(equality)]) ).
cnf(2200,plain,
( epred33_0
| $false ),
inference(rw,[status(thm)],[2198,557,theory(equality)]) ).
cnf(2201,plain,
epred33_0,
inference(cn,[status(thm)],[2200,theory(equality)]) ).
cnf(2204,plain,
( ~ epred34_0
| $false ),
inference(rw,[status(thm)],[2171,2201,theory(equality)]) ).
cnf(2205,plain,
~ epred34_0,
inference(cn,[status(thm)],[2204,theory(equality)]) ).
cnf(2221,plain,
( ~ arg1(esk4_3(X1,X2,X3),c210)
| ~ subs(esk4_3(X1,X2,X3),hei__337en_1_1)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X3,X1)
| ~ sub(X1,X2) ),
inference(sr,[status(thm)],[2176,2205,theory(equality)]) ).
cnf(2222,plain,
( ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X3,X1)
| ~ sub(X1,X2)
| ~ arg1(esk4_3(X1,X2,X3),c210) ),
inference(csr,[status(thm)],[2221,120]) ).
cnf(2223,plain,
( ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c210,X2)
| ~ sub(X2,X1) ),
inference(spm,[status(thm)],[2222,122,theory(equality)]) ).
cnf(2224,plain,
( ~ attr(c210,X1)
| ~ sub(X1,eigenname_1_1) ),
inference(spm,[status(thm)],[2223,200,theory(equality)]) ).
cnf(2231,plain,
~ sub(c211,eigenname_1_1),
inference(spm,[status(thm)],[2224,560,theory(equality)]) ).
cnf(2233,plain,
$false,
inference(rw,[status(thm)],[2231,557,theory(equality)]) ).
cnf(2234,plain,
$false,
inference(cn,[status(thm)],[2233,theory(equality)]) ).
cnf(2235,plain,
$false,
2234,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR116+34.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmp4DnUPU/sel_CSR116+34.p_1 with time limit 29
% -prover status Theorem
% Problem CSR116+34.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR116+34.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR116+34.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
%
%------------------------------------------------------------------------------