%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:14:14 PM UTC 2026
% Result : Theorem 137.95s 17.92s
% Output : CNFRefutation 95.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 44 ( 19 unt; 0 def)
% Number of atoms : 381 ( 0 equ)
% Maximal formula atoms : 162 ( 8 avg)
% Number of connectives : 500 ( 163 ~; 145 |; 191 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 162 ( 12 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 50 ( 50 usr; 50 con; 0-0 aty)
% Number of variables : 130 ( 112 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f158,axiom,
! [X0,X1,X2,X3] :
( ( val(X0,X1)
& sub(X0,eigenname_1_1)
& tupl(X1,X2,X3) )
=> val(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10188,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& rslt(X7,X3)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& rslt(X7,X3)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( gener(w__344hlen_1_2,ge)
& fact(w__344hlen_1_2,real)
& sort(w__344hlen_1_2,da)
& varia(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& quant(land_1_1,quant_c)
& gener(land_1_1,gener_c)
& fact(land_1_1,real)
& etype(land_1_1,etype_c)
& card(land_1_1,card_c)
& sort(land_1_1,ent)
& gener(rprs_0,gener_c)
& fact(rprs_0,real)
& sort(rprs_0,st)
& sort(s__374dafrika_0,fe)
& varia(name_1_1,varia_c)
& refer(name_1_1,refer_c)
& quant(name_1_1,one)
& gener(name_1_1,ge)
& fact(name_1_1,real)
& etype(name_1_1,int0)
& card(name_1_1,int1)
& sort(name_1_1,na)
& varia(republik__1_1,varia_c)
& refer(republik__1_1,refer_c)
& quant(republik__1_1,one)
& gener(republik__1_1,ge)
& fact(republik__1_1,real)
& etype(republik__1_1,int0)
& card(republik__1_1,int1)
& sort(republik__1_1,io)
& sort(republik__1_1,d)
& varia(c392,varia_c)
& refer(c392,indet)
& quant(c392,one)
& gener(c392,sp)
& fact(c392,real)
& etype(c392,int0)
& card(c392,int1)
& sort(c392,na)
& varia(c391,con)
& refer(c391,det)
& quant(c391,one)
& gener(c391,sp)
& fact(c391,real)
& etype(c391,int0)
& card(c391,int1)
& sort(c391,io)
& sort(c391,d)
& sort(c1,tq)
& sort(amtlich_1_1,tq)
& varia(pr__344sident_1_1,varia_c)
& refer(pr__344sident_1_1,refer_c)
& quant(pr__344sident_1_1,one)
& gener(pr__344sident_1_1,ge)
& fact(pr__344sident_1_1,real)
& etype(pr__344sident_1_1,int0)
& card(pr__344sident_1_1,int1)
& sort(pr__344sident_1_1,d)
& sort(c382,tq)
& varia(c381,con)
& refer(c381,det)
& quant(c381,one)
& gener(c381,sp)
& fact(c381,real)
& etype(c381,int0)
& card(c381,int1)
& sort(c381,d)
& sort(mandela_0,fe)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& quant(familiename_1_1,one)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& sort(familiename_1_1,na)
& sort(rolihlahla_0,fe)
& sort(nelson_0,fe)
& sort(c347,fe)
& varia(eigenname_1_1,varia_c)
& refer(eigenname_1_1,refer_c)
& quant(eigenname_1_1,one)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& card(eigenname_1_1,int1)
& sort(eigenname_1_1,na)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,one)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& card(mensch_1_1,int1)
& sort(mensch_1_1,d)
& varia(c348,varia_c)
& refer(c348,indet)
& quant(c348,one)
& gener(c348,sp)
& fact(c348,real)
& etype(c348,int0)
& card(c348,int1)
& sort(c348,na)
& varia(c346,varia_c)
& refer(c346,indet)
& quant(c346,one)
& gener(c346,sp)
& fact(c346,real)
& etype(c346,int0)
& card(c346,int1)
& sort(c346,na)
& gener(erkl__344ren_1_4,ge)
& fact(erkl__344ren_1_4,real)
& sort(erkl__344ren_1_4,da)
& gener(c394,sp)
& fact(c394,real)
& sort(c394,st)
& varia(c345,con)
& refer(c345,det)
& quant(c345,one)
& gener(c345,sp)
& fact(c345,real)
& etype(c345,int0)
& card(c345,int1)
& sort(c345,d)
& varia(c3,varia_c)
& refer(c3,det)
& quant(c3,one)
& gener(c3,sp)
& fact(c3,real)
& etype(c3,int0)
& card(c3,int1)
& sort(c3,d)
& gener(c15,sp)
& fact(c15,real)
& sort(c15,da)
& chsp2(w__344hlen_1_2,c1)
& sub(republik__1_1,land_1_1)
& subr(c394,rprs_0)
& arg2(c394,c381)
& arg1(c394,c345)
& val(c392,s__374dafrika_0)
& sub(c392,name_1_1)
& sub(c391,republik__1_1)
& attr(c391,c392)
& attch(c391,c381)
& modp(c382,amtlich_1_1,c1)
& sub(c381,pr__344sident_1_1)
& prop(c381,c382)
& val(c348,mandela_0)
& sub(c348,familiename_1_1)
& tupl(c347,nelson_0,rolihlahla_0)
& val(c346,c347)
& sub(c346,eigenname_1_1)
& sub(c345,mensch_1_1)
& attr(c345,c348)
& attr(c345,c346)
& subs(c15,erkl__344ren_1_4)
& rslt(c15,c394)
& obj(c15,c345)
& agt(c15,c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10689,plain,
! [X0,X1,X2,X3] :
( val(X0,X2)
| ~ val(X0,X1)
| ~ sub(X0,eigenname_1_1)
| ~ tupl(X1,X2,X3) ),
inference(pre_NNF_transformation,[status(thm)],[f158]) ).
fof(f10690,plain,
! [X0,X2] :
( val(X0,X2)
| ! [X1] :
( ~ val(X0,X1)
| ~ sub(X0,eigenname_1_1)
| ! [X3] : ~ tupl(X1,X2,X3) ) ),
inference(miniscoping,[status(thm)],[f10689]) ).
fof(f10691,plain,
! [X0,X1,X2,X3] :
( ~ sub(X0,eigenname_1_1)
| ~ tupl(X2,X1,X3)
| ~ val(X0,X2)
| val(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10690]) ).
fof(f20815,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ val(X6,s__374dafrika_0)
| ~ val(X2,nelson_0)
| ~ val(X1,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X6,name_1_1)
| ~ sub(X4,X8)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ rslt(X7,X3)
| ~ obj(X7,X0)
| ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X6] :
( ~ val(X6,s__374dafrika_0)
| ! [X2] :
( ~ val(X2,nelson_0)
| ! [X1] :
( ~ val(X1,mandela_0)
| ! [X3] :
( ~ subr(X3,rprs_0)
| ~ sub(X6,name_1_1)
| ! [X4] :
( ! [X8] : ~ sub(X4,X8)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ! [X7] :
( ~ rslt(X7,X3)
| ! [X0] :
( ~ obj(X7,X0)
| ! [X5] : ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ val(X1,nelson_0)
| ~ attr(X0,X7)
| ~ sub(X1,eigenname_1_1)
| ~ val(X7,mandela_0)
| ~ arg1(X3,X0)
| ~ attr(X8,X6)
| ~ sub(X7,familiename_1_1)
| ~ arg2(X3,X4)
| ~ obj(X2,X0)
| ~ subr(X3,rprs_0)
| ~ sub(X6,name_1_1)
| ~ val(X6,s__374dafrika_0)
| ~ sub(X4,X5)
| ~ rslt(X2,X3)
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20819,plain,
obj(c15,c345),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20820,plain,
rslt(c15,c394),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20822,plain,
attr(c345,c346),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20823,plain,
attr(c345,c348),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20825,plain,
sub(c346,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20826,plain,
val(c346,c347),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20827,plain,
tupl(c347,nelson_0,rolihlahla_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
sub(c348,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
val(c348,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20831,plain,
sub(c381,pr__344sident_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20834,plain,
attr(c391,c392),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20836,plain,
sub(c392,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20837,plain,
val(c392,s__374dafrika_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20838,plain,
arg1(c394,c345),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20839,plain,
arg2(c394,c381),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20840,plain,
subr(c394,rprs_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21015,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ val(X1,nelson_0)
| ~ attr(X0,X6)
| ~ sub(X1,eigenname_1_1)
| ~ val(X6,mandela_0)
| ~ arg1(X3,X0)
| ~ attr(X7,c392)
| ~ sub(X6,familiename_1_1)
| ~ arg2(X3,X4)
| ~ obj(X2,X0)
| ~ subr(X3,rprs_0)
| ~ val(c392,s__374dafrika_0)
| ~ sub(X4,X5)
| ~ rslt(X2,X3)
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f20836,f20817]) ).
fof(f21016,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ val(X5,mandela_0)
| ~ obj(X6,X0)
| ~ val(X1,nelson_0)
| ~ attr(X0,X5)
| ~ sub(X1,eigenname_1_1)
| ~ attr(X7,c392)
| ~ rslt(X6,X2)
| ~ sub(X5,familiename_1_1)
| ~ arg2(X2,X3)
| ~ sub(X3,X4)
| ~ arg1(X2,X0)
| ~ subr(X2,rprs_0)
| ~ attr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f21015,f20837]) ).
fof(f21021,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ val(c348,mandela_0)
| ~ obj(X5,X0)
| ~ val(X1,nelson_0)
| ~ attr(X0,c348)
| ~ sub(X1,eigenname_1_1)
| ~ attr(X6,c392)
| ~ rslt(X5,X2)
| ~ arg2(X2,X3)
| ~ sub(X3,X4)
| ~ arg1(X2,X0)
| ~ subr(X2,rprs_0)
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f20828,f21016]) ).
fof(f21023,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ arg1(X1,X3)
| ~ attr(X3,c348)
| ~ sub(X4,X6)
| ~ attr(X5,c392)
| ~ attr(X3,X0)
| ~ arg2(X1,X4)
| ~ obj(X2,X3)
| ~ rslt(X2,X1)
| ~ sub(X0,eigenname_1_1)
| ~ subr(X1,rprs_0)
| ~ val(X0,nelson_0) ),
inference(forward_subsumption_resolution,[status(thm)],[f21021,f20829]) ).
fof(f21115,plain,
! [X0,X1,X2] :
( val(c346,X1)
| ~ val(c346,X0)
| ~ tupl(X0,X1,X2) ),
inference(resolution,[status(thm)],[f20825,f10691]) ).
fof(f21116,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ val(c346,nelson_0)
| ~ arg2(X0,X4)
| ~ sub(X4,X5)
| ~ attr(X1,c346)
| ~ rslt(X2,X0)
| ~ attr(X3,c392)
| ~ obj(X2,X1)
| ~ subr(X0,rprs_0)
| ~ attr(X1,c348)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f20825,f21023]) ).
fof(f24770,plain,
! [X0,X1] :
( ~ tupl(c347,X0,X1)
| val(c346,X0) ),
inference(resolution,[status(thm)],[f21115,f20826]) ).
fof(f24772,plain,
val(c346,nelson_0),
inference(resolution,[status(thm)],[f24770,f20827]) ).
fof(f24774,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ attr(X0,c348)
| ~ subr(X1,rprs_0)
| ~ obj(X4,X0)
| ~ attr(X5,c392)
| ~ rslt(X4,X1)
| ~ arg2(X1,X2)
| ~ sub(X2,X3)
| ~ arg1(X1,X0)
| ~ attr(X0,c346) ),
inference(backward_subsumption_resolution,[status(thm)],[f21116,f24772]) ).
fof(f24778,plain,
! [X0,X1,X2,X3,X4] :
( ~ obj(X4,X0)
| ~ attr(X0,c348)
| ~ arg2(X1,X2)
| ~ arg1(X1,X0)
| ~ rslt(X4,X1)
| ~ sub(X2,X3)
| ~ subr(X1,rprs_0)
| ~ attr(X0,c346) ),
inference(resolution,[status(thm)],[f24774,f20834]) ).
fof(f24779,plain,
! [X0,X1,X2,X3] :
( ~ obj(X3,c345)
| ~ attr(c345,c348)
| ~ arg2(X0,X1)
| ~ arg1(X0,c345)
| ~ rslt(X3,X0)
| ~ sub(X1,X2)
| ~ subr(X0,rprs_0) ),
inference(resolution,[status(thm)],[f24778,f20822]) ).
fof(f24780,plain,
! [X0,X1,X2,X3] :
( ~ rslt(X0,X1)
| ~ sub(X2,X3)
| ~ subr(X1,rprs_0)
| ~ arg1(X1,c345)
| ~ arg2(X1,X2)
| ~ obj(X0,c345) ),
inference(forward_subsumption_resolution,[status(thm)],[f24779,f20823]) ).
fof(f24784,plain,
! [X0,X1,X2] :
( ~ rslt(X0,c394)
| ~ sub(X1,X2)
| ~ arg1(c394,c345)
| ~ arg2(c394,X1)
| ~ obj(X0,c345) ),
inference(resolution,[status(thm)],[f24780,f20840]) ).
fof(f24785,plain,
! [X0,X1,X2] :
( ~ arg2(c394,X1)
| ~ obj(X0,c345)
| ~ sub(X1,X2)
| ~ rslt(X0,c394) ),
inference(forward_subsumption_resolution,[status(thm)],[f24784,f20838]) ).
fof(f24787,plain,
! [X0,X1] :
( ~ obj(X0,c345)
| ~ sub(c381,X1)
| ~ rslt(X0,c394) ),
inference(resolution,[status(thm)],[f24785,f20839]) ).
fof(f24788,plain,
! [X0] :
( ~ rslt(X0,c394)
| ~ obj(X0,c345) ),
inference(resolution,[status(thm)],[f24787,f20831]) ).
fof(f24792,plain,
~ obj(c15,c345),
inference(resolution,[status(thm)],[f24788,f20820]) ).
fof(f24795,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f24792,f20819]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 15:10:12 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.25/0.50 % Drodi V4.1.1
% 137.95/17.92 % Refutation found
% 137.95/17.92 % SZS status Theorem for theBenchmark: Theorem is valid
% 137.95/17.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 69.36/18.11 % Elapsed time: 17.719082 seconds
% 69.36/18.11 % CPU time: 138.771160 seconds
% 69.36/18.11 % Total memory used: 915.893 MB
% 69.36/18.11 % Net memory used: 866.946 MB
%------------------------------------------------------------------------------