TSTP Solution File: CSR116+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR116+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 07:56:12 EST 2010
% Result : Theorem 1.44s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 8
% Syntax : Number of formulae : 84 ( 22 unt; 0 def)
% Number of atoms : 655 ( 0 equ)
% Maximal formula atoms : 230 ( 7 avg)
% Number of connectives : 861 ( 290 ~; 265 |; 301 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 230 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 4 prp; 0-7 aty)
% Number of functors : 62 ( 62 usr; 58 con; 0-3 aty)
% Number of variables : 205 ( 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/tmpcn1dGH/sel_CSR116+1.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/tmpcn1dGH/sel_CSR116+1.p_1',attr_name_hei__337en_1_1) ).
fof(21,axiom,
! [X1,X2] : member(X1,cons(X1,X2)),
file('/tmp/tmpcn1dGH/sel_CSR116+1.p_1',member_first) ).
fof(66,axiom,
( attr(c153,c154)
& sub(c153,mensch_1_1)
& sub(c154,familiename_1_1)
& val(c154,klerk_0)
& prop(c159,schwarz_1_1)
& sub(c159,c161)
& pmod(c161,erst_1_1,pr__344sident_1_1)
& attch(c170,c159)
& attr(c170,c171)
& sub(c170,land_1_1)
& sub(c171,name_1_1)
& val(c171,s__374dafrika_0)
& tupl_p7(c228,c41,c47,c54,c59,c153,c159)
& subs(c41,voraussicht_1_1)
& attr(c47,c48)
& sub(c47,einrichtung_1_2)
& sub(c48,name_1_1)
& val(c48,anc_0)
& attr(c54,c55)
& attr(c54,c56)
& sub(c54,an_f__374hrer_1_1)
& sub(c55,eigenname_1_1)
& val(c55,nelson_0)
& sub(c56,familiename_1_1)
& val(c56,mandela_0)
& sub(c59,nachfolger_1_1)
& sort(c153,d)
& card(c153,int1)
& etype(c153,int0)
& fact(c153,real)
& gener(c153,sp)
& quant(c153,one)
& refer(c153,det)
& varia(c153,con)
& sort(c154,na)
& card(c154,int1)
& etype(c154,int0)
& fact(c154,real)
& gener(c154,sp)
& quant(c154,one)
& refer(c154,indet)
& varia(c154,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(klerk_0,fe)
& sort(c159,d)
& card(c159,int1)
& etype(c159,int0)
& fact(c159,real)
& gener(c159,sp)
& quant(c159,one)
& refer(c159,det)
& varia(c159,con)
& sort(schwarz_1_1,tq)
& sort(c161,d)
& card(c161,int1)
& etype(c161,int0)
& fact(c161,real)
& gener(c161,ge)
& quant(c161,one)
& refer(c161,refer_c)
& varia(c161,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(c170,d)
& sort(c170,io)
& card(c170,int1)
& etype(c170,int0)
& fact(c170,real)
& gener(c170,sp)
& quant(c170,one)
& refer(c170,det)
& varia(c170,con)
& sort(c171,na)
& card(c171,int1)
& etype(c171,int0)
& fact(c171,real)
& gener(c171,sp)
& quant(c171,one)
& refer(c171,indet)
& varia(c171,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(c228,ent)
& card(c228,card_c)
& etype(c228,etype_c)
& fact(c228,real)
& gener(c228,gener_c)
& quant(c228,quant_c)
& refer(c228,refer_c)
& varia(c228,varia_c)
& sort(c41,ad)
& card(c41,int1)
& etype(c41,int0)
& fact(c41,real)
& gener(c41,gener_c)
& quant(c41,one)
& refer(c41,det)
& varia(c41,con)
& sort(c47,d)
& sort(c47,io)
& card(c47,int1)
& etype(c47,int1)
& fact(c47,real)
& gener(c47,sp)
& quant(c47,one)
& refer(c47,det)
& varia(c47,con)
& sort(c54,d)
& card(c54,int1)
& etype(c54,int0)
& fact(c54,real)
& gener(c54,sp)
& quant(c54,one)
& refer(c54,det)
& varia(c54,varia_c)
& sort(c59,d)
& card(c59,int1)
& etype(c59,int0)
& fact(c59,real)
& gener(c59,gener_c)
& quant(c59,one)
& refer(c59,refer_c)
& varia(c59,varia_c)
& sort(voraussicht_1_1,ad)
& card(voraussicht_1_1,int1)
& etype(voraussicht_1_1,int0)
& fact(voraussicht_1_1,real)
& gener(voraussicht_1_1,ge)
& quant(voraussicht_1_1,one)
& refer(voraussicht_1_1,refer_c)
& varia(voraussicht_1_1,varia_c)
& sort(c48,na)
& card(c48,int1)
& etype(c48,int0)
& fact(c48,real)
& gener(c48,sp)
& quant(c48,one)
& refer(c48,indet)
& varia(c48,varia_c)
& sort(einrichtung_1_2,d)
& sort(einrichtung_1_2,io)
& card(einrichtung_1_2,card_c)
& etype(einrichtung_1_2,int1)
& fact(einrichtung_1_2,real)
& gener(einrichtung_1_2,ge)
& quant(einrichtung_1_2,quant_c)
& refer(einrichtung_1_2,refer_c)
& varia(einrichtung_1_2,varia_c)
& sort(anc_0,fe)
& sort(c55,na)
& card(c55,int1)
& etype(c55,int0)
& fact(c55,real)
& gener(c55,sp)
& quant(c55,one)
& refer(c55,indet)
& varia(c55,varia_c)
& sort(c56,na)
& card(c56,int1)
& etype(c56,int0)
& fact(c56,real)
& gener(c56,sp)
& quant(c56,one)
& refer(c56,det)
& varia(c56,varia_c)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_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(mandela_0,fe)
& sort(nachfolger_1_1,d)
& card(nachfolger_1_1,int1)
& etype(nachfolger_1_1,int0)
& fact(nachfolger_1_1,real)
& gener(nachfolger_1_1,ge)
& quant(nachfolger_1_1,one)
& refer(nachfolger_1_1,refer_c)
& varia(nachfolger_1_1,varia_c) ),
file('/tmp/tmpcn1dGH/sel_CSR116+1.p_1',ave07_era5_synth_qa07_010_mira_news_1588) ).
fof(67,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/tmpcn1dGH/sel_CSR116+1.p_1',synth_qa07_010_mira_news_1588) ).
fof(68,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)],[67]) ).
fof(78,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(79,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)],[78]) ).
fof(80,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)],[79]) ).
fof(81,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)],[80]) ).
cnf(83,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)],[81]) ).
cnf(84,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)],[81]) ).
cnf(88,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)],[81]) ).
fof(96,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(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)
| ? [X8] :
( arg1(X8,X7)
& arg2(X8,X7)
& subs(X8,hei__337en_1_1) ) ),
inference(variable_rename,[status(thm)],[96]) ).
fof(98,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)],[97]) ).
fof(99,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)],[98]) ).
cnf(100,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)],[99]) ).
cnf(101,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)],[99]) ).
cnf(102,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)],[99]) ).
fof(145,plain,
! [X3,X4] : member(X3,cons(X3,X4)),
inference(variable_rename,[status(thm)],[21]) ).
cnf(146,plain,
member(X1,cons(X1,X2)),
inference(split_conjunct,[status(thm)],[145]) ).
cnf(453,plain,
val(c56,mandela_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(454,plain,
sub(c56,familiename_1_1),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(455,plain,
val(c55,nelson_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(456,plain,
sub(c55,eigenname_1_1),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(458,plain,
attr(c54,c56),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(459,plain,
attr(c54,c55),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(466,plain,
val(c171,s__374dafrika_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(467,plain,
sub(c171,name_1_1),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(469,plain,
attr(c170,c171),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(471,plain,
pmod(c161,erst_1_1,pr__344sident_1_1),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(472,plain,
sub(c159,c161),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(473,plain,
prop(c159,schwarz_1_1),
inference(split_conjunct,[status(thm)],[66]) ).
fof(478,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)],[68]) ).
fof(479,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)],[478]) ).
cnf(480,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)],[479]) ).
cnf(668,plain,
( arg1(esk4_3(X1,eigenname_1_1,X2),X2)
| ~ sub(X1,eigenname_1_1)
| ~ attr(X2,X1) ),
inference(spm,[status(thm)],[102,146,theory(equality)]) ).
cnf(670,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)],[100,146,theory(equality)]) ).
fof(672,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(673,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)],[672]) ).
fof(674,plain,
( ~ epred2_0
<=> ! [X8,X7,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(675,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)],[674]) ).
fof(676,plain,
( ~ epred3_0
<=> ! [X9,X1] :
( ~ attr(X9,X1)
| ~ sub(X1,name_1_1)
| ~ val(X1,s__374dafrika_0) ) ),
introduced(definition),
[split] ).
cnf(677,plain,
( epred3_0
| ~ attr(X9,X1)
| ~ sub(X1,name_1_1)
| ~ val(X1,s__374dafrika_0) ),
inference(split_equiv,[status(thm)],[676]) ).
cnf(678,negated_conjecture,
( ~ epred3_0
| ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[480,672,theory(equality)]),674,theory(equality)]),676,theory(equality)]),
[split] ).
cnf(679,plain,
( arg2(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(681,plain,
( epred3_0
| ~ sub(c171,name_1_1)
| ~ attr(X1,c171) ),
inference(spm,[status(thm)],[677,466,theory(equality)]) ).
cnf(683,plain,
( epred3_0
| $false
| ~ attr(X1,c171) ),
inference(rw,[status(thm)],[681,467,theory(equality)]) ).
cnf(684,plain,
( epred3_0
| ~ attr(X1,c171) ),
inference(cn,[status(thm)],[683,theory(equality)]) ).
cnf(685,plain,
epred3_0,
inference(spm,[status(thm)],[684,469,theory(equality)]) ).
cnf(688,negated_conjecture,
( $false
| ~ epred2_0
| ~ epred1_0 ),
inference(rw,[status(thm)],[678,685,theory(equality)]) ).
cnf(689,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(cn,[status(thm)],[688,theory(equality)]) ).
cnf(690,plain,
( epred1_0
| ~ prop(X1,schwarz_1_1)
| ~ sub(X1,c161) ),
inference(spm,[status(thm)],[673,471,theory(equality)]) ).
cnf(691,plain,
( epred1_0
| ~ sub(c159,c161) ),
inference(spm,[status(thm)],[690,473,theory(equality)]) ).
cnf(692,plain,
( epred1_0
| $false ),
inference(rw,[status(thm)],[691,472,theory(equality)]) ).
cnf(693,plain,
epred1_0,
inference(cn,[status(thm)],[692,theory(equality)]) ).
cnf(696,negated_conjecture,
( ~ epred2_0
| $false ),
inference(rw,[status(thm)],[689,693,theory(equality)]) ).
cnf(697,negated_conjecture,
~ epred2_0,
inference(cn,[status(thm)],[696,theory(equality)]) ).
cnf(698,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)],[675,697,theory(equality)]) ).
cnf(699,plain,
( ~ val(X1,mandela_0)
| ~ sub(c55,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ attr(X2,c55)
| ~ attr(X2,X1)
| ~ subr(X3,rprs_0)
| ~ obj(X4,X2)
| ~ arg1(X3,X2) ),
inference(spm,[status(thm)],[698,455,theory(equality)]) ).
cnf(701,plain,
( ~ val(X1,mandela_0)
| $false
| ~ sub(X1,familiename_1_1)
| ~ attr(X2,c55)
| ~ attr(X2,X1)
| ~ subr(X3,rprs_0)
| ~ obj(X4,X2)
| ~ arg1(X3,X2) ),
inference(rw,[status(thm)],[699,456,theory(equality)]) ).
cnf(702,plain,
( ~ val(X1,mandela_0)
| ~ sub(X1,familiename_1_1)
| ~ attr(X2,c55)
| ~ attr(X2,X1)
| ~ subr(X3,rprs_0)
| ~ obj(X4,X2)
| ~ arg1(X3,X2) ),
inference(cn,[status(thm)],[701,theory(equality)]) ).
cnf(703,plain,
( ~ sub(c56,familiename_1_1)
| ~ attr(X1,c55)
| ~ attr(X1,c56)
| ~ subr(X2,rprs_0)
| ~ obj(X3,X1)
| ~ arg1(X2,X1) ),
inference(spm,[status(thm)],[702,453,theory(equality)]) ).
cnf(705,plain,
( $false
| ~ attr(X1,c55)
| ~ attr(X1,c56)
| ~ subr(X2,rprs_0)
| ~ obj(X3,X1)
| ~ arg1(X2,X1) ),
inference(rw,[status(thm)],[703,454,theory(equality)]) ).
cnf(706,plain,
( ~ attr(X1,c55)
| ~ attr(X1,c56)
| ~ subr(X2,rprs_0)
| ~ obj(X3,X1)
| ~ arg1(X2,X1) ),
inference(cn,[status(thm)],[705,theory(equality)]) ).
cnf(707,plain,
( ~ attr(X1,c55)
| ~ attr(X1,c56)
| ~ 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)],[706,83,theory(equality)]) ).
cnf(708,plain,
( ~ attr(X1,c55)
| ~ attr(X1,c56)
| ~ obj(X2,X1)
| ~ arg2(X3,X4)
| ~ arg1(X3,X1)
| ~ subs(X3,hei__337en_1_1) ),
inference(spm,[status(thm)],[707,88,theory(equality)]) ).
cnf(709,plain,
( ~ attr(X1,c55)
| ~ attr(X1,c56)
| ~ 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)],[708,84,theory(equality)]) ).
cnf(807,plain,
( ~ attr(X1,c55)
| ~ attr(X1,c56)
| ~ 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)],[709,679,theory(equality)]) ).
cnf(813,plain,
( ~ sub(X2,eigenname_1_1)
| ~ attr(X1,c55)
| ~ attr(X1,c56)
| ~ attr(X3,X2)
| ~ arg2(X4,X5)
| ~ arg1(esk4_3(X2,eigenname_1_1,X3),X1)
| ~ arg1(X4,X1)
| ~ subs(X4,hei__337en_1_1) ),
inference(csr,[status(thm)],[807,670]) ).
cnf(814,plain,
( ~ sub(X1,eigenname_1_1)
| ~ attr(X2,c55)
| ~ attr(X2,c56)
| ~ attr(X2,X1)
| ~ arg2(X3,X4)
| ~ arg1(X3,X2)
| ~ subs(X3,hei__337en_1_1) ),
inference(spm,[status(thm)],[813,668,theory(equality)]) ).
cnf(818,plain,
( ~ sub(c55,eigenname_1_1)
| ~ attr(c54,c55)
| ~ attr(c54,c56)
| ~ arg2(X1,X2)
| ~ arg1(X1,c54)
| ~ subs(X1,hei__337en_1_1) ),
inference(spm,[status(thm)],[814,459,theory(equality)]) ).
cnf(821,plain,
( $false
| ~ attr(c54,c55)
| ~ attr(c54,c56)
| ~ arg2(X1,X2)
| ~ arg1(X1,c54)
| ~ subs(X1,hei__337en_1_1) ),
inference(rw,[status(thm)],[818,456,theory(equality)]) ).
cnf(822,plain,
( $false
| $false
| ~ attr(c54,c56)
| ~ arg2(X1,X2)
| ~ arg1(X1,c54)
| ~ subs(X1,hei__337en_1_1) ),
inference(rw,[status(thm)],[821,459,theory(equality)]) ).
cnf(823,plain,
( $false
| $false
| $false
| ~ arg2(X1,X2)
| ~ arg1(X1,c54)
| ~ subs(X1,hei__337en_1_1) ),
inference(rw,[status(thm)],[822,458,theory(equality)]) ).
cnf(824,plain,
( ~ arg2(X1,X2)
| ~ arg1(X1,c54)
| ~ subs(X1,hei__337en_1_1) ),
inference(cn,[status(thm)],[823,theory(equality)]) ).
cnf(829,plain,
( ~ arg1(esk4_3(X1,eigenname_1_1,X2),c54)
| ~ subs(esk4_3(X1,eigenname_1_1,X2),hei__337en_1_1)
| ~ sub(X1,eigenname_1_1)
| ~ attr(X2,X1) ),
inference(spm,[status(thm)],[824,679,theory(equality)]) ).
cnf(836,plain,
( ~ sub(X1,eigenname_1_1)
| ~ attr(X2,X1)
| ~ arg1(esk4_3(X1,eigenname_1_1,X2),c54) ),
inference(csr,[status(thm)],[829,670]) ).
cnf(837,plain,
( ~ sub(X1,eigenname_1_1)
| ~ attr(c54,X1) ),
inference(spm,[status(thm)],[836,668,theory(equality)]) ).
cnf(838,plain,
~ sub(c55,eigenname_1_1),
inference(spm,[status(thm)],[837,459,theory(equality)]) ).
cnf(840,plain,
$false,
inference(rw,[status(thm)],[838,456,theory(equality)]) ).
cnf(841,plain,
$false,
inference(cn,[status(thm)],[840,theory(equality)]) ).
cnf(842,plain,
$false,
841,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR116+1.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmpcn1dGH/sel_CSR116+1.p_1 with time limit 29
% -prover status Theorem
% Problem CSR116+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR116+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR116+1.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
%
%------------------------------------------------------------------------------