TSTP Solution File: CSR116+41 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR116+41 : 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 08:01:34 EST 2010
% Result : Theorem 1.58s
% Output : CNFRefutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 7
% Syntax : Number of formulae : 77 ( 22 unt; 0 def)
% Number of atoms : 708 ( 0 equ)
% Maximal formula atoms : 247 ( 9 avg)
% Number of connectives : 961 ( 330 ~; 307 |; 320 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 247 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 3 prp; 0-3 aty)
% Number of functors : 70 ( 70 usr; 66 con; 0-3 aty)
% Number of variables : 211 ( 19 sgn 61 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
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/tmp03HwMS/sel_CSR116+41.p_1',attr_name_hei__337en_1_1) ).
fof(13,axiom,
! [X1,X2] : member(X1,cons(X1,X2)),
file('/tmp/tmp03HwMS/sel_CSR116+41.p_1',member_first) ).
fof(75,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/tmp03HwMS/sel_CSR116+41.p_1',hei__337en_1_1__bezeichnen_1_1_als) ).
fof(85,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/tmp03HwMS/sel_CSR116+41.p_1',synth_qa07_010_mn3_283) ).
fof(86,axiom,
( equ(c11,c11)
& obj(c11,c161)
& prop(c11,afrikanisch__1_1)
& subs(c11,feier__1_1)
& subs(c11,vereidigung_1_1)
& temp(c11,c167)
& pmod(c151,erst_1_1,pr__344sident_1_1)
& attch(c155,c161)
& attr(c155,c156)
& sub(c155,land_1_1)
& sub(c156,name_1_1)
& val(c156,s__374dafrika_0)
& attr(c161,c162)
& attr(c161,c163)
& loc(c161,c180)
& prop(c161,schwarz_1_1)
& sub(c161,c151)
& sub(c162,eigenname_1_1)
& val(c162,nelson_0)
& sub(c163,familiename_1_1)
& val(c163,mandela_0)
& sub(c167,dienstag__1_1)
& attr(c177,c178)
& sub(c177,hauptsstadt_1_1)
& sub(c178,name_1_1)
& val(c178,pretoria_0)
& in(c180,c177)
& attch(c20,c11)
& prop(c20,ausgelassen_1_1)
& subs(c20,freude_1_1)
& arg1(c23,c11)
& arg2(c23,c11)
& subr(c23,equ_0)
& sub(hauptsstadt_1_1,stadt__1_1)
& sub(pr__344sident_1_1,mensch_1_1)
& sort(c11,ad)
& card(c11,int1)
& etype(c11,int0)
& fact(c11,real)
& gener(c11,sp)
& quant(c11,one)
& refer(c11,indet)
& varia(c11,varia_c)
& sort(c161,d)
& card(c161,int1)
& etype(c161,int0)
& fact(c161,real)
& gener(c161,sp)
& quant(c161,one)
& refer(c161,det)
& varia(c161,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(c167,ta)
& card(c167,int1)
& etype(c167,int0)
& fact(c167,real)
& gener(c167,sp)
& quant(c167,one)
& refer(c167,det)
& varia(c167,con)
& sort(c151,d)
& card(c151,int1)
& etype(c151,int0)
& fact(c151,real)
& gener(c151,ge)
& quant(c151,one)
& refer(c151,refer_c)
& varia(c151,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(c155,d)
& sort(c155,io)
& card(c155,int1)
& etype(c155,int0)
& fact(c155,real)
& gener(c155,sp)
& quant(c155,one)
& refer(c155,det)
& varia(c155,con)
& sort(c156,na)
& card(c156,int1)
& etype(c156,int0)
& fact(c156,real)
& gener(c156,sp)
& quant(c156,one)
& refer(c156,indet)
& varia(c156,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(c162,na)
& card(c162,int1)
& etype(c162,int0)
& fact(c162,real)
& gener(c162,sp)
& quant(c162,one)
& refer(c162,indet)
& varia(c162,varia_c)
& sort(c163,na)
& card(c163,int1)
& etype(c163,int0)
& fact(c163,real)
& gener(c163,sp)
& quant(c163,one)
& refer(c163,indet)
& varia(c163,varia_c)
& sort(c180,l)
& card(c180,int1)
& etype(c180,int0)
& fact(c180,real)
& gener(c180,sp)
& quant(c180,one)
& refer(c180,det)
& varia(c180,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(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(c177,d)
& sort(c177,io)
& 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(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(pretoria_0,fe)
& sort(c20,ad)
& card(c20,int1)
& etype(c20,int0)
& fact(c20,real)
& gener(c20,sp)
& quant(c20,one)
& refer(c20,det)
& varia(c20,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(c23,st)
& fact(c23,real)
& gener(c23,sp)
& sort(equ_0,st)
& fact(equ_0,real)
& gener(equ_0,gener_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(mensch_1_1,ent)
& card(mensch_1_1,card_c)
& etype(mensch_1_1,etype_c)
& fact(mensch_1_1,real)
& gener(mensch_1_1,gener_c)
& quant(mensch_1_1,quant_c)
& refer(mensch_1_1,refer_c)
& varia(mensch_1_1,varia_c) ),
file('/tmp/tmp03HwMS/sel_CSR116+41.p_1',ave07_era5_synth_qa07_010_mn3_283) ).
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)
& 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)],[85]) ).
fof(106,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(107,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)],[106]) ).
fof(108,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(esk2_3(X5,X6,X7),X7)
& arg2(esk2_3(X5,X6,X7),X7)
& subs(esk2_3(X5,X6,X7),hei__337en_1_1) ) ),
inference(skolemize,[status(esa)],[107]) ).
fof(109,plain,
! [X5,X6,X7] :
( ( arg1(esk2_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(esk2_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(esk2_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)],[108]) ).
cnf(110,plain,
( subs(esk2_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)],[109]) ).
cnf(111,plain,
( arg2(esk2_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)],[109]) ).
cnf(112,plain,
( arg1(esk2_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)],[109]) ).
fof(122,plain,
! [X3,X4] : member(X3,cons(X3,X4)),
inference(variable_rename,[status(thm)],[13]) ).
cnf(123,plain,
member(X1,cons(X1,X2)),
inference(split_conjunct,[status(thm)],[122]) ).
fof(287,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)],[75]) ).
fof(288,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)],[287]) ).
fof(289,plain,
! [X6,X7,X8] :
( ~ arg1(X6,X7)
| ~ arg2(X6,X8)
| ~ subs(X6,hei__337en_1_1)
| ( arg1(esk14_3(X6,X7,X8),X7)
& arg2(esk14_3(X6,X7,X8),X8)
& hsit(X6,esk13_3(X6,X7,X8))
& mcont(esk13_3(X6,X7,X8),esk14_3(X6,X7,X8))
& obj(esk13_3(X6,X7,X8),X7)
& subr(esk14_3(X6,X7,X8),rprs_0)
& subs(esk13_3(X6,X7,X8),bezeichnen_1_1) ) ),
inference(skolemize,[status(esa)],[288]) ).
fof(290,plain,
! [X6,X7,X8] :
( ( arg1(esk14_3(X6,X7,X8),X7)
| ~ arg1(X6,X7)
| ~ arg2(X6,X8)
| ~ subs(X6,hei__337en_1_1) )
& ( arg2(esk14_3(X6,X7,X8),X8)
| ~ arg1(X6,X7)
| ~ arg2(X6,X8)
| ~ subs(X6,hei__337en_1_1) )
& ( hsit(X6,esk13_3(X6,X7,X8))
| ~ arg1(X6,X7)
| ~ arg2(X6,X8)
| ~ subs(X6,hei__337en_1_1) )
& ( mcont(esk13_3(X6,X7,X8),esk14_3(X6,X7,X8))
| ~ arg1(X6,X7)
| ~ arg2(X6,X8)
| ~ subs(X6,hei__337en_1_1) )
& ( obj(esk13_3(X6,X7,X8),X7)
| ~ arg1(X6,X7)
| ~ arg2(X6,X8)
| ~ subs(X6,hei__337en_1_1) )
& ( subr(esk14_3(X6,X7,X8),rprs_0)
| ~ arg1(X6,X7)
| ~ arg2(X6,X8)
| ~ subs(X6,hei__337en_1_1) )
& ( subs(esk13_3(X6,X7,X8),bezeichnen_1_1)
| ~ arg1(X6,X7)
| ~ arg2(X6,X8)
| ~ subs(X6,hei__337en_1_1) ) ),
inference(distribute,[status(thm)],[289]) ).
cnf(292,plain,
( subr(esk14_3(X1,X3,X2),rprs_0)
| ~ subs(X1,hei__337en_1_1)
| ~ arg2(X1,X2)
| ~ arg1(X1,X3) ),
inference(split_conjunct,[status(thm)],[290]) ).
cnf(296,plain,
( arg2(esk14_3(X1,X3,X2),X2)
| ~ subs(X1,hei__337en_1_1)
| ~ arg2(X1,X2)
| ~ arg1(X1,X3) ),
inference(split_conjunct,[status(thm)],[290]) ).
cnf(297,plain,
( arg1(esk14_3(X1,X3,X2),X3)
| ~ subs(X1,hei__337en_1_1)
| ~ arg2(X1,X2)
| ~ arg1(X1,X3) ),
inference(split_conjunct,[status(thm)],[290]) ).
fof(321,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)],[87]) ).
fof(322,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)],[321]) ).
cnf(323,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)],[322]) ).
cnf(550,plain,
val(c163,mandela_0),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(551,plain,
sub(c163,familiename_1_1),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(552,plain,
val(c162,nelson_0),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(553,plain,
sub(c162,eigenname_1_1),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(554,plain,
sub(c161,c151),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(555,plain,
prop(c161,schwarz_1_1),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(557,plain,
attr(c161,c163),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(558,plain,
attr(c161,c162),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(559,plain,
val(c156,s__374dafrika_0),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(560,plain,
sub(c156,name_1_1),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(562,plain,
attr(c155,c156),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(564,plain,
pmod(c151,erst_1_1,pr__344sident_1_1),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(569,plain,
obj(c11,c161),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(794,plain,
( arg1(esk2_3(X1,eigenname_1_1,X2),X2)
| ~ sub(X1,eigenname_1_1)
| ~ attr(X2,X1) ),
inference(spm,[status(thm)],[112,123,theory(equality)]) ).
cnf(796,plain,
( arg2(esk2_3(X1,eigenname_1_1,X2),X2)
| ~ sub(X1,eigenname_1_1)
| ~ attr(X2,X1) ),
inference(spm,[status(thm)],[111,123,theory(equality)]) ).
fof(808,plain,
( ~ epred1_0
<=> ! [X5,X3,X8,X6,X7,X2,X4] :
( ~ attr(X8,X2)
| ~ attr(X8,X3)
| ~ sub(X5,X6)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ arg1(X4,X8)
| ~ arg2(X4,X5)
| ~ prop(X5,schwarz_1_1)
| ~ val(X2,nelson_0)
| ~ val(X3,mandela_0)
| ~ pmod(X6,erst_1_1,pr__344sident_1_1)
| ~ obj(X7,X8)
| ~ subr(X4,rprs_0) ) ),
introduced(definition),
[split] ).
cnf(809,plain,
( epred1_0
| ~ attr(X8,X2)
| ~ attr(X8,X3)
| ~ sub(X5,X6)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ arg1(X4,X8)
| ~ arg2(X4,X5)
| ~ prop(X5,schwarz_1_1)
| ~ val(X2,nelson_0)
| ~ val(X3,mandela_0)
| ~ pmod(X6,erst_1_1,pr__344sident_1_1)
| ~ obj(X7,X8)
| ~ subr(X4,rprs_0) ),
inference(split_equiv,[status(thm)],[808]) ).
fof(810,plain,
( ~ epred2_0
<=> ! [X9,X1] :
( ~ attr(X9,X1)
| ~ sub(X1,name_1_1)
| ~ val(X1,s__374dafrika_0) ) ),
introduced(definition),
[split] ).
cnf(811,plain,
( epred2_0
| ~ attr(X9,X1)
| ~ sub(X1,name_1_1)
| ~ val(X1,s__374dafrika_0) ),
inference(split_equiv,[status(thm)],[810]) ).
cnf(812,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[323,808,theory(equality)]),810,theory(equality)]),
[split] ).
cnf(813,plain,
( subs(esk2_3(X1,eigenname_1_1,X2),hei__337en_1_1)
| ~ sub(X1,eigenname_1_1)
| ~ attr(X2,X1) ),
inference(spm,[status(thm)],[110,123,theory(equality)]) ).
cnf(815,plain,
( epred2_0
| ~ sub(c156,name_1_1)
| ~ attr(X1,c156) ),
inference(spm,[status(thm)],[811,559,theory(equality)]) ).
cnf(818,plain,
( epred2_0
| $false
| ~ attr(X1,c156) ),
inference(rw,[status(thm)],[815,560,theory(equality)]) ).
cnf(819,plain,
( epred2_0
| ~ attr(X1,c156) ),
inference(cn,[status(thm)],[818,theory(equality)]) ).
cnf(820,plain,
epred2_0,
inference(spm,[status(thm)],[819,562,theory(equality)]) ).
cnf(823,negated_conjecture,
( $false
| ~ epred1_0 ),
inference(rw,[status(thm)],[812,820,theory(equality)]) ).
cnf(824,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[823,theory(equality)]) ).
cnf(825,negated_conjecture,
( ~ attr(X8,X2)
| ~ attr(X8,X3)
| ~ sub(X5,X6)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ arg1(X4,X8)
| ~ arg2(X4,X5)
| ~ prop(X5,schwarz_1_1)
| ~ val(X2,nelson_0)
| ~ val(X3,mandela_0)
| ~ pmod(X6,erst_1_1,pr__344sident_1_1)
| ~ obj(X7,X8)
| ~ subr(X4,rprs_0) ),
inference(sr,[status(thm)],[809,824,theory(equality)]) ).
cnf(826,plain,
( ~ subr(X1,rprs_0)
| ~ obj(X2,X3)
| ~ val(X4,nelson_0)
| ~ val(X5,mandela_0)
| ~ prop(X6,schwarz_1_1)
| ~ arg2(X1,X6)
| ~ arg1(X1,X3)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X5,familiename_1_1)
| ~ sub(X6,c151)
| ~ attr(X3,X4)
| ~ attr(X3,X5) ),
inference(spm,[status(thm)],[825,564,theory(equality)]) ).
cnf(827,plain,
( ~ obj(X4,X5)
| ~ val(X6,nelson_0)
| ~ val(X7,mandela_0)
| ~ prop(X8,schwarz_1_1)
| ~ arg2(esk14_3(X1,X2,X3),X8)
| ~ arg1(esk14_3(X1,X2,X3),X5)
| ~ sub(X6,eigenname_1_1)
| ~ sub(X7,familiename_1_1)
| ~ sub(X8,c151)
| ~ attr(X5,X6)
| ~ attr(X5,X7)
| ~ arg2(X1,X3)
| ~ arg1(X1,X2)
| ~ subs(X1,hei__337en_1_1) ),
inference(spm,[status(thm)],[826,292,theory(equality)]) ).
cnf(828,plain,
( ~ obj(X1,X2)
| ~ val(X3,nelson_0)
| ~ val(X4,mandela_0)
| ~ prop(X5,schwarz_1_1)
| ~ arg2(X6,X5)
| ~ arg1(esk14_3(X6,X7,X5),X2)
| ~ arg1(X6,X7)
| ~ sub(X3,eigenname_1_1)
| ~ sub(X4,familiename_1_1)
| ~ sub(X5,c151)
| ~ attr(X2,X3)
| ~ attr(X2,X4)
| ~ subs(X6,hei__337en_1_1) ),
inference(spm,[status(thm)],[827,296,theory(equality)]) ).
cnf(829,plain,
( ~ obj(X1,X2)
| ~ val(X3,nelson_0)
| ~ val(X4,mandela_0)
| ~ prop(X5,schwarz_1_1)
| ~ arg2(X6,X5)
| ~ arg1(X6,X2)
| ~ sub(X3,eigenname_1_1)
| ~ sub(X4,familiename_1_1)
| ~ sub(X5,c151)
| ~ attr(X2,X3)
| ~ attr(X2,X4)
| ~ subs(X6,hei__337en_1_1) ),
inference(spm,[status(thm)],[828,297,theory(equality)]) ).
cnf(831,plain,
( ~ obj(X1,X2)
| ~ val(X3,mandela_0)
| ~ prop(X4,schwarz_1_1)
| ~ arg2(X5,X4)
| ~ arg1(X5,X2)
| ~ sub(c162,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ sub(X4,c151)
| ~ attr(X2,c162)
| ~ attr(X2,X3)
| ~ subs(X5,hei__337en_1_1) ),
inference(spm,[status(thm)],[829,552,theory(equality)]) ).
cnf(834,plain,
( ~ obj(X1,X2)
| ~ val(X3,mandela_0)
| ~ prop(X4,schwarz_1_1)
| ~ arg2(X5,X4)
| ~ arg1(X5,X2)
| $false
| ~ sub(X3,familiename_1_1)
| ~ sub(X4,c151)
| ~ attr(X2,c162)
| ~ attr(X2,X3)
| ~ subs(X5,hei__337en_1_1) ),
inference(rw,[status(thm)],[831,553,theory(equality)]) ).
cnf(835,plain,
( ~ obj(X1,X2)
| ~ val(X3,mandela_0)
| ~ prop(X4,schwarz_1_1)
| ~ arg2(X5,X4)
| ~ arg1(X5,X2)
| ~ sub(X3,familiename_1_1)
| ~ sub(X4,c151)
| ~ attr(X2,c162)
| ~ attr(X2,X3)
| ~ subs(X5,hei__337en_1_1) ),
inference(cn,[status(thm)],[834,theory(equality)]) ).
cnf(836,plain,
( ~ obj(X1,X2)
| ~ prop(X3,schwarz_1_1)
| ~ arg2(X4,X3)
| ~ arg1(X4,X2)
| ~ sub(c163,familiename_1_1)
| ~ sub(X3,c151)
| ~ attr(X2,c162)
| ~ attr(X2,c163)
| ~ subs(X4,hei__337en_1_1) ),
inference(spm,[status(thm)],[835,550,theory(equality)]) ).
cnf(839,plain,
( ~ obj(X1,X2)
| ~ prop(X3,schwarz_1_1)
| ~ arg2(X4,X3)
| ~ arg1(X4,X2)
| $false
| ~ sub(X3,c151)
| ~ attr(X2,c162)
| ~ attr(X2,c163)
| ~ subs(X4,hei__337en_1_1) ),
inference(rw,[status(thm)],[836,551,theory(equality)]) ).
cnf(840,plain,
( ~ obj(X1,X2)
| ~ prop(X3,schwarz_1_1)
| ~ arg2(X4,X3)
| ~ arg1(X4,X2)
| ~ sub(X3,c151)
| ~ attr(X2,c162)
| ~ attr(X2,c163)
| ~ subs(X4,hei__337en_1_1) ),
inference(cn,[status(thm)],[839,theory(equality)]) ).
cnf(841,plain,
( ~ prop(X1,schwarz_1_1)
| ~ arg2(X2,X1)
| ~ arg1(X2,c161)
| ~ sub(X1,c151)
| ~ attr(c161,c162)
| ~ attr(c161,c163)
| ~ subs(X2,hei__337en_1_1) ),
inference(spm,[status(thm)],[840,569,theory(equality)]) ).
cnf(843,plain,
( ~ prop(X1,schwarz_1_1)
| ~ arg2(X2,X1)
| ~ arg1(X2,c161)
| ~ sub(X1,c151)
| $false
| ~ attr(c161,c163)
| ~ subs(X2,hei__337en_1_1) ),
inference(rw,[status(thm)],[841,558,theory(equality)]) ).
cnf(844,plain,
( ~ prop(X1,schwarz_1_1)
| ~ arg2(X2,X1)
| ~ arg1(X2,c161)
| ~ sub(X1,c151)
| $false
| $false
| ~ subs(X2,hei__337en_1_1) ),
inference(rw,[status(thm)],[843,557,theory(equality)]) ).
cnf(845,plain,
( ~ prop(X1,schwarz_1_1)
| ~ arg2(X2,X1)
| ~ arg1(X2,c161)
| ~ sub(X1,c151)
| ~ subs(X2,hei__337en_1_1) ),
inference(cn,[status(thm)],[844,theory(equality)]) ).
cnf(995,plain,
( ~ prop(X1,schwarz_1_1)
| ~ arg1(esk2_3(X2,eigenname_1_1,X1),c161)
| ~ sub(X1,c151)
| ~ subs(esk2_3(X2,eigenname_1_1,X1),hei__337en_1_1)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X1,X2) ),
inference(spm,[status(thm)],[845,796,theory(equality)]) ).
cnf(1008,plain,
( ~ prop(c161,schwarz_1_1)
| ~ sub(c161,c151)
| ~ sub(X1,eigenname_1_1)
| ~ attr(c161,X1)
| ~ subs(esk2_3(X1,eigenname_1_1,c161),hei__337en_1_1) ),
inference(spm,[status(thm)],[995,794,theory(equality)]) ).
cnf(1009,plain,
( $false
| ~ sub(c161,c151)
| ~ sub(X1,eigenname_1_1)
| ~ attr(c161,X1)
| ~ subs(esk2_3(X1,eigenname_1_1,c161),hei__337en_1_1) ),
inference(rw,[status(thm)],[1008,555,theory(equality)]) ).
cnf(1010,plain,
( $false
| $false
| ~ sub(X1,eigenname_1_1)
| ~ attr(c161,X1)
| ~ subs(esk2_3(X1,eigenname_1_1,c161),hei__337en_1_1) ),
inference(rw,[status(thm)],[1009,554,theory(equality)]) ).
cnf(1011,plain,
( ~ sub(X1,eigenname_1_1)
| ~ attr(c161,X1)
| ~ subs(esk2_3(X1,eigenname_1_1,c161),hei__337en_1_1) ),
inference(cn,[status(thm)],[1010,theory(equality)]) ).
cnf(1118,plain,
( ~ sub(X1,eigenname_1_1)
| ~ attr(c161,X1) ),
inference(spm,[status(thm)],[1011,813,theory(equality)]) ).
cnf(1124,plain,
~ sub(c162,eigenname_1_1),
inference(spm,[status(thm)],[1118,558,theory(equality)]) ).
cnf(1126,plain,
$false,
inference(rw,[status(thm)],[1124,553,theory(equality)]) ).
cnf(1127,plain,
$false,
inference(cn,[status(thm)],[1126,theory(equality)]) ).
cnf(1128,plain,
$false,
1127,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR116+41.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmp03HwMS/sel_CSR116+41.p_1 with time limit 29
% -prover status Theorem
% Problem CSR116+41.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR116+41.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR116+41.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
%
%------------------------------------------------------------------------------