%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 38.85s 20.51s
% Output : CNFRefutation 38.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 98 ( 19 unt; 13 def)
% Number of atoms : 649 ( 0 equ)
% Maximal formula atoms : 187 ( 6 avg)
% Number of connectives : 855 ( 304 ~; 273 |; 262 &)
% ( 13 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 187 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 39 ( 38 usr; 14 prp; 0-6 aty)
% Number of functors : 57 ( 57 usr; 52 con; 0-3 aty)
% Number of variables : 232 ( 202 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f159,axiom,
! [X0,X1,X2] :
( ( sub(X0,X1)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& attr(X2,X0) )
=> ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f160,axiom,
! [X0,X1,X2] :
( ( sub(X0,X1)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& attr(X2,X0) )
=> ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f161,axiom,
! [X0,X1,X2] :
( ( subs(X0,hei__337en_1_1)
& arg2(X0,X2)
& arg1(X0,X1) )
=> ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) ) ),
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)
& 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)
& 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,
( varia(leute_1_1,varia_c)
& refer(leute_1_1,refer_c)
& quant(leute_1_1,one)
& gener(leute_1_1,ge)
& fact(leute_1_1,real)
& etype(leute_1_1,int0)
& card(leute_1_1,int1)
& sort(leute_1_1,d)
& varia(land_2_1,varia_c)
& refer(land_2_1,refer_c)
& quant(land_2_1,one)
& gener(land_2_1,ge)
& fact(land_2_1,real)
& etype(land_2_1,int0)
& card(land_2_1,int1)
& sort(land_2_1,d)
& varia(c451,varia_c)
& refer(c451,refer_c)
& quant(c451,quant_c)
& gener(c451,gener_c)
& fact(c451,real)
& etype(c451,etype_c)
& card(c451,card_c)
& sort(c451,ent)
& varia(gehaltsangabe_1_1,varia_c)
& refer(gehaltsangabe_1_1,refer_c)
& quant(gehaltsangabe_1_1,one)
& gener(gehaltsangabe_1_1,ge)
& fact(gehaltsangabe_1_1,real)
& etype(gehaltsangabe_1_1,int0)
& card(gehaltsangabe_1_1,int1)
& sort(gehaltsangabe_1_1,io)
& sort(gehaltsangabe_1_1,d)
& varia(c324,varia_c)
& refer(c324,refer_c)
& quant(c324,one)
& gener(c324,gener_c)
& fact(c324,real)
& etype(c324,int0)
& card(c324,int1)
& sort(c324,io)
& sort(c324,d)
& varia(landesleute_1_1,varia_c)
& refer(landesleute_1_1,refer_c)
& quant(landesleute_1_1,one)
& gener(landesleute_1_1,ge)
& fact(landesleute_1_1,real)
& etype(landesleute_1_1,int0)
& card(landesleute_1_1,int1)
& sort(landesleute_1_1,d)
& varia(c322,con)
& refer(c322,det)
& quant(c322,all)
& gener(c322,gener_c)
& fact(c322,real)
& etype(c322,int1)
& card(c322,cons(x_constant,cons(int1,nil)))
& sort(c322,d)
& sort(zukunft_in_w__374rde_und_vertrauen_0,fe)
& varia(c316,varia_c)
& refer(c316,refer_c)
& quant(c316,one)
& gener(c316,gener_c)
& fact(c316,real)
& etype(c316,int0)
& card(c316,int1)
& sort(c316,o)
& 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(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& quant(land_1_1,one)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& card(land_1_1,int1)
& sort(land_1_1,io)
& sort(land_1_1,d)
& varia(c306,varia_c)
& refer(c306,indet)
& quant(c306,one)
& gener(c306,sp)
& fact(c306,real)
& etype(c306,int0)
& card(c306,int1)
& sort(c306,na)
& varia(c305,con)
& refer(c305,det)
& quant(c305,one)
& gener(c305,sp)
& fact(c305,real)
& etype(c305,int0)
& card(c305,int1)
& sort(c305,io)
& sort(c305,d)
& 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)
& varia(c295,con)
& refer(c295,det)
& quant(c295,one)
& gener(c295,sp)
& fact(c295,real)
& etype(c295,int0)
& card(c295,int1)
& sort(c295,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(nelson_0,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(c292,varia_c)
& refer(c292,indet)
& quant(c292,one)
& gener(c292,sp)
& fact(c292,real)
& etype(c292,int0)
& card(c292,int1)
& sort(c292,na)
& varia(c291,varia_c)
& refer(c291,indet)
& quant(c291,one)
& gener(c291,sp)
& fact(c291,real)
& etype(c291,int0)
& card(c291,int1)
& sort(c291,na)
& varia(c290,con)
& refer(c290,det)
& quant(c290,one)
& gener(c290,sp)
& fact(c290,real)
& etype(c290,int0)
& card(c290,int1)
& sort(c290,d)
& sub(landesleute_1_1,leute_1_1)
& assoc(landesleute_1_1,land_2_1)
& tupl_p6(c451,c290,c295,c316,c322,c324)
& sub(c324,gehaltsangabe_1_1)
& pred(c322,landesleute_1_1)
& name(c316,zukunft_in_w__374rde_und_vertrauen_0)
& val(c306,s__374dafrika_0)
& sub(c306,name_1_1)
& sub(c305,land_1_1)
& attr(c305,c306)
& attch(c305,c295)
& sub(c295,pr__344sident_1_1)
& val(c292,mandela_0)
& sub(c292,familiename_1_1)
& val(c291,nelson_0)
& sub(c291,eigenname_1_1)
& sub(c290,mensch_1_1)
& attr(c290,c292)
& attr(c290,c291) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10191,plain,
! [X0,X1] : member(X0,cons(X0,X1)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10692,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f159]) ).
fof(f10693,plain,
! [X2] :
( ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(miniscoping,[status(thm)],[f10692]) ).
fof(f10694,plain,
! [X2] :
( ( subs(sK50_skl(X2),hei__337en_1_1)
& arg2(sK50_skl(X2),X2)
& arg1(sK50_skl(X2),X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50_skl]),skolemize(X3,sK50_skl(X2))],[f10693]) ).
fof(f10695,plain,
! [X0,X1,X2] :
( arg1(sK50_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10696,plain,
! [X0,X1,X2] :
( arg2(sK50_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10697,plain,
! [X0,X1,X2] :
( subs(sK50_skl(X0),hei__337en_1_1)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10698,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f160]) ).
fof(f10699,plain,
! [X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(miniscoping,[status(thm)],[f10698]) ).
fof(f10700,plain,
! [X2] :
( ( subs(sK51_skl(X2),stehen_1_b)
& scar(sK51_skl(X2),X2)
& obj(sK51_skl(X2),X2)
& mcont(sK51_skl(X2),X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51_skl]),skolemize(X3,sK51_skl(X2))],[f10699]) ).
fof(f10702,plain,
! [X0,X1,X2] :
( obj(sK51_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10700]) ).
fof(f10705,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f161]) ).
fof(f10706,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,bezeichnen_1_1)
& ? [X4] :
( subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) ) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(miniscoping,[status(thm)],[f10705]) ).
fof(f10707,plain,
! [X0,X1,X2] :
( ( subs(sK52_skl(X2,X1,X0),bezeichnen_1_1)
& subr(sK53_skl(X2,X1,X0),rprs_0)
& obj(sK52_skl(X2,X1,X0),X1)
& mcont(sK52_skl(X2,X1,X0),sK53_skl(X2,X1,X0))
& hsit(X0,sK52_skl(X2,X1,X0))
& arg2(sK53_skl(X2,X1,X0),X2)
& arg1(sK53_skl(X2,X1,X0),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl,sK53_skl]),skolemize(X3,sK52_skl(X2,X1,X0)),skolemize(X4,sK53_skl(X2,X1,X0))],[f10706]) ).
fof(f10708,plain,
! [X0,X1,X2] :
( arg1(sK53_skl(X2,X1,X0),X1)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10709,plain,
! [X0,X1,X2] :
( arg2(sK53_skl(X2,X1,X0),X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10713,plain,
! [X0,X1,X2] :
( subr(sK53_skl(X2,X1,X0),rprs_0)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
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)
| ~ 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)
| ! [X0] :
( ! [X7] : ~ 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(X6,s__374dafrika_0)
| ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X6,name_1_1)
| ~ sub(X2,X8)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X7,X1)
| ~ attr(X5,X6)
| ~ attr(X1,X4)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20818,plain,
attr(c290,c291),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20819,plain,
attr(c290,c292),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20820,plain,
sub(c290,mensch_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20821,plain,
sub(c291,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20822,plain,
val(c291,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20823,plain,
sub(c292,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20824,plain,
val(c292,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20827,plain,
attr(c305,c306),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
sub(c306,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20830,plain,
val(c306,s__374dafrika_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21040,definition,
! [X0,X1,X2,X3,X4,X7,X8] :
( sQ0_spl
<=> ( ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X8)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X7,X1)
| ~ attr(X1,X4)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21041,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ0_spl
| ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X6)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X5,X1)
| ~ attr(X1,X4)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21040]) ).
fof(f21043,definition,
! [X5,X6] :
( sQ1_spl
<=> ( ~ val(X6,s__374dafrika_0)
| ~ sub(X6,name_1_1)
| ~ attr(X5,X6) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21044,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ val(X1,s__374dafrika_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21043]) ).
fof(f21046,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21040,f21043]) ).
fof(f21047,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ0_spl
| ~ val(c291,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X5)
| ~ sub(X3,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,c291)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f20821,f21041]) ).
fof(f21049,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ2_spl
<=> ( ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X5)
| ~ sub(X3,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,c291)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21050,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X5)
| ~ sub(X3,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,c291)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21049]) ).
fof(f21052,definition,
( sQ3_spl
<=> val(c291,nelson_0) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21054,plain,
( sQ3_spl
| ~ val(c291,nelson_0) ),
inference(component_clause,[status(thm)],[f21052]) ).
fof(f21055,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21047,f21049,f21052,f21040]) ).
fof(f21056,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21054,f20822]) ).
fof(f21057,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f21056]) ).
fof(f21062,plain,
! [X0] :
( ~ sQ1_spl
| ~ val(c306,s__374dafrika_0)
| ~ attr(X0,c306) ),
inference(resolution,[status(thm)],[f20829,f21044]) ).
fof(f21064,definition,
! [X0] :
( sQ4_spl
<=> ~ attr(X0,c306) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f21065,plain,
! [X0] :
( ~ sQ4_spl
| ~ attr(X0,c306) ),
inference(component_clause,[status(thm)],[f21064]) ).
fof(f21067,definition,
( sQ5_spl
<=> val(c306,s__374dafrika_0) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21069,plain,
( sQ5_spl
| ~ val(c306,s__374dafrika_0) ),
inference(component_clause,[status(thm)],[f21067]) ).
fof(f21070,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21062,f21064,f21067,f21043]) ).
fof(f21071,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21069,f20830]) ).
fof(f21072,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f21071]) ).
fof(f21073,plain,
( ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20827,f21065]) ).
fof(f21074,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f21073]) ).
fof(f21076,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ val(X5,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,X6)
| ~ sub(X5,familiename_1_1)
| ~ attr(X0,c291)
| ~ attr(X0,X5)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f10702,f21050]) ).
fof(f21082,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ val(c292,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,X5)
| ~ attr(X0,c291)
| ~ attr(X0,c292)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f21076,f20823]) ).
fof(f21083,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ7_spl
<=> ( ~ subr(X3,rprs_0)
| ~ sub(X4,X5)
| ~ attr(X0,c291)
| ~ attr(X0,c292)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f21084,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ7_spl
| ~ subr(X3,rprs_0)
| ~ sub(X4,X5)
| ~ attr(X0,c291)
| ~ attr(X0,c292)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21083]) ).
fof(f21086,definition,
( sQ8_spl
<=> val(c292,mandela_0) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f21088,plain,
( sQ8_spl
| ~ val(c292,mandela_0) ),
inference(component_clause,[status(thm)],[f21086]) ).
fof(f21089,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f21082,f21083,f21086,f21049]) ).
fof(f21090,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ7_spl
| ~ subr(X2,rprs_0)
| ~ sub(X3,X4)
| ~ attr(c290,c291)
| ~ arg2(X2,X3)
| ~ arg1(X2,c290)
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c290,X0) ),
inference(resolution,[status(thm)],[f21084,f20819]) ).
fof(f21091,definition,
! [X0,X1] :
( sQ9_spl
<=> ( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c290,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f21092,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c290,X0) ),
inference(component_clause,[status(thm)],[f21091]) ).
fof(f21094,definition,
! [X2,X3,X4] :
( sQ10_spl
<=> ( ~ subr(X2,rprs_0)
| ~ sub(X3,X4)
| ~ arg2(X2,X3)
| ~ arg1(X2,c290) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f21095,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ subr(X0,rprs_0)
| ~ sub(X1,X2)
| ~ arg2(X0,X1)
| ~ arg1(X0,c290) ),
inference(component_clause,[status(thm)],[f21094]) ).
fof(f21097,definition,
( sQ11_spl
<=> attr(c290,c291) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f21099,plain,
( sQ11_spl
| ~ attr(c290,c291) ),
inference(component_clause,[status(thm)],[f21097]) ).
fof(f21100,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f21090,f21091,f21094,f21097,f21083]) ).
fof(f21101,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21088,f20824]) ).
fof(f21102,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f21101]) ).
fof(f21103,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21099,f20818]) ).
fof(f21104,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f21103]) ).
fof(f21106,plain,
! [X0] :
( ~ sQ9_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c290,X0) ),
inference(resolution,[status(thm)],[f21092,f10191]) ).
fof(f21111,plain,
( ~ sQ9_spl
| ~ attr(c290,c291) ),
inference(resolution,[status(thm)],[f21106,f20821]) ).
fof(f21112,plain,
( ~ sQ9_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f21111,f21097,f21091]) ).
fof(f21115,definition,
! [X0,X1] :
( sQ12_spl
<=> ( ~ sub(X0,X1)
| ~ arg2(sK50_skl(c290),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f21116,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ sub(X0,X1)
| ~ arg2(sK50_skl(c290),X0) ),
inference(component_clause,[status(thm)],[f21115]) ).
fof(f21122,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c290,X1)
| ~ sub(c290,X0) ),
inference(resolution,[status(thm)],[f21116,f10696]) ).
fof(f21123,definition,
! [X0] :
( sQ14_spl
<=> ~ sub(c290,X0) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f21124,plain,
! [X0] :
( ~ sQ14_spl
| ~ sub(c290,X0) ),
inference(component_clause,[status(thm)],[f21123]) ).
fof(f21126,plain,
( ~ sQ12_spl
| sQ9_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f21122,f21123,f21091,f21115]) ).
fof(f21127,plain,
( ~ sQ14_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20820,f21124]) ).
fof(f21128,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f21127]) ).
fof(f21511,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ subr(sK53_skl(X1,c290,X0),rprs_0)
| ~ sub(X2,X3)
| ~ arg2(sK53_skl(X1,c290,X0),X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c290) ),
inference(resolution,[status(thm)],[f10708,f21095]) ).
fof(f21512,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sub(X2,X3)
| ~ arg2(sK53_skl(X1,c290,X0),X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c290) ),
inference(forward_subsumption_resolution,[status(thm)],[f21511,f10713]) ).
fof(f21555,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sub(X1,X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c290)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c290) ),
inference(resolution,[status(thm)],[f10709,f21512]) ).
fof(f21556,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sub(X1,X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c290) ),
inference(duplicate_literals_removal,[status(thm)],[f21555]) ).
fof(f21564,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sub(X3,X4)
| ~ member(X4,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X3)
| ~ sub(X1,X2)
| ~ arg2(sK50_skl(X0),X1)
| ~ arg1(sK50_skl(X0),c290) ),
inference(resolution,[status(thm)],[f21556,f10697]) ).
fof(f21566,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ10_spl
| ~ sub(X4,X5)
| ~ member(X5,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c290,X4)
| ~ sub(X2,X3)
| ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c290,X2)
| ~ sub(X0,X1)
| ~ arg2(sK50_skl(c290),X0) ),
inference(resolution,[status(thm)],[f21564,f10695]) ).
fof(f21567,plain,
( ~ sQ10_spl
| sQ9_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f21566,f21115,f21091,f21094]) ).
fof(f21568,plain,
$false,
inference(sat_refutation,[status(thm)],[f21046,f21055,f21057,f21070,f21072,f21074,f21089,f21100,f21102,f21104,f21112,f21126,f21128,f21567]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR116+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/15.52 % Computer : n012.cluster.edu
% 0.03/15.52 % Model : x86_64 x86_64
% 0.03/15.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/15.52 % Memory : 8046.5625MB
% 0.03/15.52 % OS : Linux 6.8.0-71-generic
% 0.03/15.52 % CPULimit : 300
% 0.03/15.52 % WCLimit : 300
% 0.03/15.52 % DateTime : Mon Sep 21 15:10:22 UTC 2026
% 0.03/15.53 % CPUTime :
% 0.03/15.59 % Drodi V4.1.1
% 38.85/20.51 % Refutation found
% 38.85/20.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 38.85/20.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 38.85/20.59 % Elapsed time: 5.054965 seconds
% 38.85/20.59 % CPU time: 39.372243 seconds
% 38.85/20.59 % Total memory used: 632.027 MB
% 38.85/20.59 % Net memory used: 601.509 MB
%------------------------------------------------------------------------------