TSTP Solution File: CSR116+5 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR116+5 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 08:06:38 EST 2010
% Result : Theorem 1.28s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 66 ( 23 unt; 0 def)
% Number of atoms : 455 ( 0 equ)
% Maximal formula atoms : 162 ( 6 avg)
% Number of connectives : 598 ( 209 ~; 193 |; 191 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 162 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 5 prp; 0-3 aty)
% Number of functors : 50 ( 50 usr; 50 con; 0-0 aty)
% Number of variables : 138 ( 18 sgn 43 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(23,axiom,
! [X1,X2,X3,X4] :
( ( tupl(X2,X3,X4)
& sub(X1,eigenname_1_1)
& val(X1,X2) )
=> val(X1,X3) ),
file('/tmp/tmpz5ad1v/sel_CSR116+5.p_1',drop_first_name_component) ).
fof(73,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)
& rslt(X8,X4)
& 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/tmpz5ad1v/sel_CSR116+5.p_1',synth_qa07_010_mira_news_1606_a671) ).
fof(74,axiom,
( agt(c15,c3)
& obj(c15,c345)
& rslt(c15,c394)
& subs(c15,erkl__344ren_1_4)
& attr(c345,c346)
& attr(c345,c348)
& sub(c345,mensch_1_1)
& sub(c346,eigenname_1_1)
& val(c346,c347)
& tupl(c347,nelson_0,rolihlahla_0)
& sub(c348,familiename_1_1)
& val(c348,mandela_0)
& prop(c381,c382)
& sub(c381,pr__344sident_1_1)
& modp(c382,amtlich_1_1,c1)
& attch(c391,c381)
& attr(c391,c392)
& sub(c391,republik__1_1)
& sub(c392,name_1_1)
& val(c392,s__374dafrika_0)
& arg1(c394,c345)
& arg2(c394,c381)
& subr(c394,rprs_0)
& sub(republik__1_1,land_1_1)
& chsp2(w__344hlen_1_2,c1)
& sort(c15,da)
& fact(c15,real)
& gener(c15,sp)
& sort(c3,d)
& card(c3,int1)
& etype(c3,int0)
& fact(c3,real)
& gener(c3,sp)
& quant(c3,one)
& refer(c3,det)
& varia(c3,varia_c)
& sort(c345,d)
& card(c345,int1)
& etype(c345,int0)
& fact(c345,real)
& gener(c345,sp)
& quant(c345,one)
& refer(c345,det)
& varia(c345,con)
& sort(c394,st)
& fact(c394,real)
& gener(c394,sp)
& sort(erkl__344ren_1_4,da)
& fact(erkl__344ren_1_4,real)
& gener(erkl__344ren_1_4,ge)
& sort(c346,na)
& card(c346,int1)
& etype(c346,int0)
& fact(c346,real)
& gener(c346,sp)
& quant(c346,one)
& refer(c346,indet)
& varia(c346,varia_c)
& sort(c348,na)
& card(c348,int1)
& etype(c348,int0)
& fact(c348,real)
& gener(c348,sp)
& quant(c348,one)
& refer(c348,indet)
& varia(c348,varia_c)
& sort(mensch_1_1,d)
& card(mensch_1_1,int1)
& etype(mensch_1_1,int0)
& fact(mensch_1_1,real)
& gener(mensch_1_1,ge)
& quant(mensch_1_1,one)
& refer(mensch_1_1,refer_c)
& varia(mensch_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(c347,fe)
& sort(nelson_0,fe)
& sort(rolihlahla_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(c381,d)
& card(c381,int1)
& etype(c381,int0)
& fact(c381,real)
& gener(c381,sp)
& quant(c381,one)
& refer(c381,det)
& varia(c381,con)
& sort(c382,tq)
& 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(amtlich_1_1,tq)
& sort(c1,tq)
& sort(c391,d)
& sort(c391,io)
& card(c391,int1)
& etype(c391,int0)
& fact(c391,real)
& gener(c391,sp)
& quant(c391,one)
& refer(c391,det)
& varia(c391,con)
& sort(c392,na)
& card(c392,int1)
& etype(c392,int0)
& fact(c392,real)
& gener(c392,sp)
& quant(c392,one)
& refer(c392,indet)
& varia(c392,varia_c)
& sort(republik__1_1,d)
& sort(republik__1_1,io)
& card(republik__1_1,int1)
& etype(republik__1_1,int0)
& fact(republik__1_1,real)
& gener(republik__1_1,ge)
& quant(republik__1_1,one)
& refer(republik__1_1,refer_c)
& varia(republik__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(rprs_0,st)
& fact(rprs_0,real)
& gener(rprs_0,gener_c)
& sort(land_1_1,ent)
& card(land_1_1,card_c)
& etype(land_1_1,etype_c)
& fact(land_1_1,real)
& gener(land_1_1,gener_c)
& quant(land_1_1,quant_c)
& refer(land_1_1,refer_c)
& varia(land_1_1,varia_c)
& sort(w__344hlen_1_2,da)
& fact(w__344hlen_1_2,real)
& gener(w__344hlen_1_2,ge) ),
file('/tmp/tmpz5ad1v/sel_CSR116+5.p_1',ave07_era5_synth_qa07_010_mira_news_1606_a671) ).
fof(75,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)
& rslt(X8,X4)
& 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)],[73]) ).
fof(154,plain,
! [X1,X2,X3,X4] :
( ~ tupl(X2,X3,X4)
| ~ sub(X1,eigenname_1_1)
| ~ val(X1,X2)
| val(X1,X3) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(155,plain,
! [X5,X6,X7,X8] :
( ~ tupl(X6,X7,X8)
| ~ sub(X5,eigenname_1_1)
| ~ val(X5,X6)
| val(X5,X7) ),
inference(variable_rename,[status(thm)],[154]) ).
cnf(156,plain,
( val(X1,X2)
| ~ val(X1,X3)
| ~ sub(X1,eigenname_1_1)
| ~ tupl(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[155]) ).
fof(282,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)
| ~ rslt(X8,X4)
| ~ 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)],[75]) ).
fof(283,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)
| ~ rslt(X17,X13)
| ~ 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)],[282]) ).
cnf(284,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)
| ~ rslt(X7,X4)
| ~ obj(X7,X8)
| ~ attr(X9,X1)
| ~ attr(X8,X2)
| ~ attr(X8,X3)
| ~ arg2(X4,X5)
| ~ arg1(X4,X8) ),
inference(split_conjunct,[status(thm)],[283]) ).
cnf(424,plain,
subr(c394,rprs_0),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(425,plain,
arg2(c394,c381),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(426,plain,
arg1(c394,c345),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(427,plain,
val(c392,s__374dafrika_0),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(428,plain,
sub(c392,name_1_1),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(430,plain,
attr(c391,c392),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(433,plain,
sub(c381,pr__344sident_1_1),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(435,plain,
val(c348,mandela_0),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(436,plain,
sub(c348,familiename_1_1),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(437,plain,
tupl(c347,nelson_0,rolihlahla_0),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(438,plain,
val(c346,c347),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(439,plain,
sub(c346,eigenname_1_1),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(441,plain,
attr(c345,c348),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(442,plain,
attr(c345,c346),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(444,plain,
rslt(c15,c394),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(445,plain,
obj(c15,c345),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(507,plain,
( val(X1,nelson_0)
| ~ val(X1,c347)
| ~ sub(X1,eigenname_1_1) ),
inference(spm,[status(thm)],[156,437,theory(equality)]) ).
fof(613,plain,
( ~ epred1_0
<=> ! [X6,X4,X8,X2,X7,X5,X3] :
( ~ arg1(X4,X8)
| ~ arg2(X4,X5)
| ~ obj(X7,X8)
| ~ subr(X4,rprs_0)
| ~ rslt(X7,X4)
| ~ 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(614,plain,
( epred1_0
| ~ arg1(X4,X8)
| ~ arg2(X4,X5)
| ~ obj(X7,X8)
| ~ subr(X4,rprs_0)
| ~ rslt(X7,X4)
| ~ 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)],[613]) ).
fof(615,plain,
( ~ epred2_0
<=> ! [X9,X1] :
( ~ sub(X1,name_1_1)
| ~ attr(X9,X1)
| ~ val(X1,s__374dafrika_0) ) ),
introduced(definition),
[split] ).
cnf(616,plain,
( epred2_0
| ~ sub(X1,name_1_1)
| ~ attr(X9,X1)
| ~ val(X1,s__374dafrika_0) ),
inference(split_equiv,[status(thm)],[615]) ).
cnf(617,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[284,613,theory(equality)]),615,theory(equality)]),
[split] ).
cnf(618,plain,
( epred2_0
| ~ attr(X1,c392)
| ~ sub(c392,name_1_1) ),
inference(spm,[status(thm)],[616,427,theory(equality)]) ).
cnf(620,plain,
( epred2_0
| ~ attr(X1,c392)
| $false ),
inference(rw,[status(thm)],[618,428,theory(equality)]) ).
cnf(621,plain,
( epred2_0
| ~ attr(X1,c392) ),
inference(cn,[status(thm)],[620,theory(equality)]) ).
cnf(622,plain,
epred2_0,
inference(spm,[status(thm)],[621,430,theory(equality)]) ).
cnf(625,negated_conjecture,
( $false
| ~ epred1_0 ),
inference(rw,[status(thm)],[617,622,theory(equality)]) ).
cnf(626,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[625,theory(equality)]) ).
cnf(627,negated_conjecture,
( ~ arg1(X4,X8)
| ~ arg2(X4,X5)
| ~ obj(X7,X8)
| ~ subr(X4,rprs_0)
| ~ rslt(X7,X4)
| ~ 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)],[614,626,theory(equality)]) ).
cnf(642,plain,
( val(c346,nelson_0)
| ~ sub(c346,eigenname_1_1) ),
inference(spm,[status(thm)],[507,438,theory(equality)]) ).
cnf(644,plain,
( val(c346,nelson_0)
| $false ),
inference(rw,[status(thm)],[642,439,theory(equality)]) ).
cnf(645,plain,
val(c346,nelson_0),
inference(cn,[status(thm)],[644,theory(equality)]) ).
cnf(647,plain,
( ~ val(X1,mandela_0)
| ~ attr(X2,c346)
| ~ attr(X2,X1)
| ~ sub(c346,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ sub(X3,X4)
| ~ rslt(X5,X6)
| ~ subr(X6,rprs_0)
| ~ obj(X5,X2)
| ~ arg2(X6,X3)
| ~ arg1(X6,X2) ),
inference(spm,[status(thm)],[627,645,theory(equality)]) ).
cnf(648,plain,
( ~ val(X1,mandela_0)
| ~ attr(X2,c346)
| ~ attr(X2,X1)
| $false
| ~ sub(X1,familiename_1_1)
| ~ sub(X3,X4)
| ~ rslt(X5,X6)
| ~ subr(X6,rprs_0)
| ~ obj(X5,X2)
| ~ arg2(X6,X3)
| ~ arg1(X6,X2) ),
inference(rw,[status(thm)],[647,439,theory(equality)]) ).
cnf(649,plain,
( ~ val(X1,mandela_0)
| ~ attr(X2,c346)
| ~ attr(X2,X1)
| ~ sub(X1,familiename_1_1)
| ~ sub(X3,X4)
| ~ rslt(X5,X6)
| ~ subr(X6,rprs_0)
| ~ obj(X5,X2)
| ~ arg2(X6,X3)
| ~ arg1(X6,X2) ),
inference(cn,[status(thm)],[648,theory(equality)]) ).
cnf(652,plain,
( ~ attr(X1,c346)
| ~ attr(X1,c348)
| ~ sub(c348,familiename_1_1)
| ~ sub(X2,X3)
| ~ rslt(X4,X5)
| ~ subr(X5,rprs_0)
| ~ obj(X4,X1)
| ~ arg2(X5,X2)
| ~ arg1(X5,X1) ),
inference(spm,[status(thm)],[649,435,theory(equality)]) ).
cnf(654,plain,
( ~ attr(X1,c346)
| ~ attr(X1,c348)
| $false
| ~ sub(X2,X3)
| ~ rslt(X4,X5)
| ~ subr(X5,rprs_0)
| ~ obj(X4,X1)
| ~ arg2(X5,X2)
| ~ arg1(X5,X1) ),
inference(rw,[status(thm)],[652,436,theory(equality)]) ).
cnf(655,plain,
( ~ attr(X1,c346)
| ~ attr(X1,c348)
| ~ sub(X2,X3)
| ~ rslt(X4,X5)
| ~ subr(X5,rprs_0)
| ~ obj(X4,X1)
| ~ arg2(X5,X2)
| ~ arg1(X5,X1) ),
inference(cn,[status(thm)],[654,theory(equality)]) ).
cnf(656,plain,
( ~ attr(X1,c346)
| ~ attr(X1,c348)
| ~ sub(X2,X3)
| ~ rslt(X4,c394)
| ~ obj(X4,X1)
| ~ arg2(c394,X2)
| ~ arg1(c394,X1) ),
inference(spm,[status(thm)],[655,424,theory(equality)]) ).
fof(658,plain,
( ~ epred3_0
<=> ! [X4,X1] :
( ~ arg1(c394,X1)
| ~ obj(X4,X1)
| ~ rslt(X4,c394)
| ~ attr(X1,c348)
| ~ attr(X1,c346) ) ),
introduced(definition),
[split] ).
cnf(659,plain,
( epred3_0
| ~ arg1(c394,X1)
| ~ obj(X4,X1)
| ~ rslt(X4,c394)
| ~ attr(X1,c348)
| ~ attr(X1,c346) ),
inference(split_equiv,[status(thm)],[658]) ).
fof(660,plain,
( ~ epred4_0
<=> ! [X3,X2] :
( ~ arg2(c394,X2)
| ~ sub(X2,X3) ) ),
introduced(definition),
[split] ).
cnf(661,plain,
( epred4_0
| ~ arg2(c394,X2)
| ~ sub(X2,X3) ),
inference(split_equiv,[status(thm)],[660]) ).
cnf(662,plain,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[656,658,theory(equality)]),660,theory(equality)]),
[split] ).
cnf(663,plain,
( epred4_0
| ~ sub(c381,X1) ),
inference(spm,[status(thm)],[661,425,theory(equality)]) ).
cnf(664,plain,
epred4_0,
inference(spm,[status(thm)],[663,433,theory(equality)]) ).
cnf(672,plain,
( $false
| ~ epred3_0 ),
inference(rw,[status(thm)],[662,664,theory(equality)]) ).
cnf(673,plain,
~ epred3_0,
inference(cn,[status(thm)],[672,theory(equality)]) ).
cnf(675,plain,
( ~ arg1(c394,X1)
| ~ obj(X4,X1)
| ~ rslt(X4,c394)
| ~ attr(X1,c348)
| ~ attr(X1,c346) ),
inference(sr,[status(thm)],[659,673,theory(equality)]) ).
cnf(676,plain,
( ~ attr(c345,c348)
| ~ attr(c345,c346)
| ~ rslt(c15,c394)
| ~ arg1(c394,c345) ),
inference(spm,[status(thm)],[675,445,theory(equality)]) ).
cnf(678,plain,
( $false
| ~ attr(c345,c346)
| ~ rslt(c15,c394)
| ~ arg1(c394,c345) ),
inference(rw,[status(thm)],[676,441,theory(equality)]) ).
cnf(679,plain,
( $false
| $false
| ~ rslt(c15,c394)
| ~ arg1(c394,c345) ),
inference(rw,[status(thm)],[678,442,theory(equality)]) ).
cnf(680,plain,
( $false
| $false
| $false
| ~ arg1(c394,c345) ),
inference(rw,[status(thm)],[679,444,theory(equality)]) ).
cnf(681,plain,
( $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[680,426,theory(equality)]) ).
cnf(682,plain,
$false,
inference(cn,[status(thm)],[681,theory(equality)]) ).
cnf(683,plain,
$false,
682,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR116+5.p
% --creating new selector for [CSR004+0.ax]
% -running prover on /tmp/tmpz5ad1v/sel_CSR116+5.p_1 with time limit 29
% -prover status Theorem
% Problem CSR116+5.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR116+5.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR116+5.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
%
%------------------------------------------------------------------------------