%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+11 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 12:14:08 PM UTC 2026
% Result : Theorem 75.34s 10.09s
% Output : CNFRefutation 75.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 88 ( 17 unt; 11 def)
% Number of atoms : 510 ( 0 equ)
% Maximal formula atoms : 117 ( 5 avg)
% Number of connectives : 670 ( 248 ~; 218 |; 190 &)
% ( 11 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 117 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 37 ( 36 usr; 12 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 41 con; 0-3 aty)
% Number of variables : 190 ( 160 !; 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(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( 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(c98,con)
& refer(c98,det)
& quant(c98,one)
& gener(c98,sp)
& fact(c98,real)
& etype(c98,int0)
& card(c98,int1)
& sort(c98,io)
& sort(c98,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)
& card(erst_1_1,int1)
& sort(erst_1_1,oq)
& varia(c92,varia_c)
& refer(c92,refer_c)
& quant(c92,one)
& gener(c92,ge)
& fact(c92,real)
& etype(c92,int0)
& card(c92,int1)
& sort(c92,d)
& sort(schwarz_1_1,tq)
& gener(stellen_1_4,ge)
& fact(stellen_1_4,real)
& sort(stellen_1_4,da)
& varia(c90,con)
& refer(c90,det)
& quant(c90,one)
& gener(c90,sp)
& fact(c90,real)
& etype(c90,int0)
& card(c90,int1)
& sort(c90,d)
& gener(c9,sp)
& fact(c9,real)
& sort(c9,da)
& 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(c7,varia_c)
& refer(c7,indet)
& quant(c7,one)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& sort(c7,na)
& varia(c6,varia_c)
& refer(c6,indet)
& quant(c6,one)
& gener(c6,sp)
& fact(c6,real)
& etype(c6,int0)
& card(c6,int1)
& sort(c6,na)
& varia(c5,con)
& refer(c5,det)
& quant(c5,one)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,int0)
& card(c5,int1)
& sort(c5,d)
& sub(c98,land_1_1)
& attch(c98,c90)
& pmod(c92,erst_1_1,pr__344sident_1_1)
& sub(c90,c92)
& prop(c90,schwarz_1_1)
& subs(c9,stellen_1_4)
& obj(c9,c90)
& assoc(c9,c5)
& agt(c9,c5)
& val(c7,mandela_0)
& sub(c7,familiename_1_1)
& val(c6,nelson_0)
& sub(c6,eigenname_1_1)
& sub(c5,mensch_1_1)
& attr(c5,c7)
& attr(c5,c6) ),
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(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(X2,nelson_0)
| ~ val(X1,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,X8)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ prop(X4,schwarz_1_1)
| ~ obj(X7,X0)
| ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg1(X3,X0)
| ~ pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X2] :
( ~ val(X2,nelson_0)
| ! [X1] :
( ~ val(X1,mandela_0)
| ! [X3] :
( ~ subr(X3,rprs_0)
| ! [X4,X8] :
( ~ sub(X4,X8)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ prop(X4,schwarz_1_1)
| ! [X0] :
( ! [X7] : ~ obj(X7,X0)
| ! [X5,X6] : ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg1(X3,X0)
| ~ pmod(X8,erst_1_1,pr__344sident_1_1) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X1,rprs_0)
| ~ sub(X8,X0)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ prop(X8,schwarz_1_1)
| ~ obj(X7,X2)
| ~ attr(X5,X6)
| ~ attr(X2,X4)
| ~ attr(X2,X3)
| ~ arg1(X1,X2)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20818,plain,
attr(c5,c6),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20819,plain,
attr(c5,c7),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20821,plain,
sub(c6,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20822,plain,
val(c6,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20823,plain,
sub(c7,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20824,plain,
val(c7,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
prop(c90,schwarz_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20830,plain,
sub(c90,c92),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20831,plain,
pmod(c92,erst_1_1,pr__344sident_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20970,definition,
! [X0,X8] :
( sQ0_spl
<=> ( ~ sub(X8,X0)
| ~ prop(X8,schwarz_1_1)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f20971,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ sub(X1,X0)
| ~ prop(X1,schwarz_1_1)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(component_clause,[status(thm)],[f20970]) ).
fof(f20973,definition,
! [X1,X2,X3,X4,X7] :
( sQ1_spl
<=> ( ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X1,rprs_0)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X7,X2)
| ~ attr(X2,X4)
| ~ attr(X2,X3)
| ~ arg1(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f20974,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ val(X3,nelson_0)
| ~ val(X2,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X3,eigenname_1_1)
| ~ sub(X2,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,X3)
| ~ attr(X1,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f20973]) ).
fof(f20976,definition,
! [X5,X6] :
( sQ2_spl
<=> ~ attr(X5,X6) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f20977,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f20976]) ).
fof(f20979,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f20970,f20973,f20976]) ).
fof(f21077,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20818,f20977]) ).
fof(f21078,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f21077]) ).
fof(f21122,definition,
( sQ22_spl
<=> sub(c6,eigenname_1_1) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f21124,plain,
( sQ22_spl
| ~ sub(c6,eigenname_1_1) ),
inference(component_clause,[status(thm)],[f21122]) ).
fof(f21200,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c90,X0)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(resolution,[status(thm)],[f20971,f20829]) ).
fof(f21201,plain,
( ~ sQ0_spl
| ~ sub(c90,c92) ),
inference(resolution,[status(thm)],[f21200,f20831]) ).
fof(f21202,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21201,f20830]) ).
fof(f21203,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f21202]) ).
fof(f24849,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(sK53_skl(X2,X1,X0),rprs_0)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X5,X1)
| ~ attr(X1,X4)
| ~ attr(X1,X3)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f10708,f20974]) ).
fof(f24850,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X5,X1)
| ~ attr(X1,X4)
| ~ attr(X1,X3)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f24849,f10713]) ).
fof(f24854,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ val(X3,nelson_0)
| ~ val(c7,mandela_0)
| ~ sub(X3,eigenname_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,X3)
| ~ attr(X1,c7)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f24850,f20823]) ).
fof(f24857,definition,
! [X0,X1,X2,X3,X4] :
( sQ51_spl
<=> ( ~ val(X3,nelson_0)
| ~ sub(X3,eigenname_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,X3)
| ~ attr(X1,c7)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f24858,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ51_spl
| ~ val(X3,nelson_0)
| ~ sub(X3,eigenname_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,X3)
| ~ attr(X1,c7)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f24857]) ).
fof(f24860,definition,
( sQ52_spl
<=> val(c7,mandela_0) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f24862,plain,
( sQ52_spl
| ~ val(c7,mandela_0) ),
inference(component_clause,[status(thm)],[f24860]) ).
fof(f24863,plain,
( ~ sQ1_spl
| ~ sQ52_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f24854,f24857,f24860,f20973]) ).
fof(f24864,plain,
! [X0,X1,X2,X3] :
( ~ sQ51_spl
| ~ val(X2,nelson_0)
| ~ sub(X2,eigenname_1_1)
| ~ obj(X3,c5)
| ~ attr(c5,X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c5) ),
inference(resolution,[status(thm)],[f24858,f20819]) ).
fof(f24865,definition,
! [X0,X1] :
( sQ53_spl
<=> ( ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c5) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f24866,plain,
! [X0,X1] :
( ~ sQ53_spl
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c5) ),
inference(component_clause,[status(thm)],[f24865]) ).
fof(f24868,definition,
! [X2] :
( sQ54_spl
<=> ( ~ val(X2,nelson_0)
| ~ sub(X2,eigenname_1_1)
| ~ attr(c5,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f24869,plain,
! [X0] :
( ~ sQ54_spl
| ~ val(X0,nelson_0)
| ~ sub(X0,eigenname_1_1)
| ~ attr(c5,X0) ),
inference(component_clause,[status(thm)],[f24868]) ).
fof(f24871,definition,
! [X3] :
( sQ55_spl
<=> ~ obj(X3,c5) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f24872,plain,
! [X0] :
( ~ sQ55_spl
| ~ obj(X0,c5) ),
inference(component_clause,[status(thm)],[f24871]) ).
fof(f24874,plain,
( ~ sQ51_spl
| sQ55_spl
| sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f24864,f24865,f24868,f24871,f24857]) ).
fof(f24875,plain,
( sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24862,f20824]) ).
fof(f24876,plain,
sQ52_spl,
inference(contradiction_clause,[status(thm)],[f24875]) ).
fof(f24877,plain,
! [X0,X1] :
( ~ sQ55_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c5,X0) ),
inference(resolution,[status(thm)],[f24872,f10702]) ).
fof(f25038,plain,
( ~ sQ54_spl
| ~ val(c6,nelson_0)
| ~ sub(c6,eigenname_1_1) ),
inference(resolution,[status(thm)],[f24869,f20818]) ).
fof(f25040,definition,
( sQ58_spl
<=> val(c6,nelson_0) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f25042,plain,
( sQ58_spl
| ~ val(c6,nelson_0) ),
inference(component_clause,[status(thm)],[f25040]) ).
fof(f25043,plain,
( ~ sQ54_spl
| ~ sQ58_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f25038,f21122,f25040,f24868]) ).
fof(f25051,plain,
( sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25042,f20822]) ).
fof(f25052,plain,
sQ58_spl,
inference(contradiction_clause,[status(thm)],[f25051]) ).
fof(f25053,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21124,f20821]) ).
fof(f25054,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f25053]) ).
fof(f25167,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1)
| ~ subs(sK50_skl(X0),hei__337en_1_1)
| ~ arg1(sK50_skl(X0),c5) ),
inference(resolution,[status(thm)],[f24866,f10696]) ).
fof(f25169,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1)
| ~ arg1(sK50_skl(X0),c5) ),
inference(forward_subsumption_resolution,[status(thm)],[f25167,f10697]) ).
fof(f25223,plain,
! [X0,X1,X2,X3] :
( ~ sQ53_spl
| ~ sub(X2,X3)
| ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c5,X2)
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c5,X0) ),
inference(resolution,[status(thm)],[f25169,f10695]) ).
fof(f25224,definition,
! [X0,X1] :
( sQ62_spl
<=> ( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f25225,plain,
! [X0,X1] :
( ~ sQ62_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c5,X0) ),
inference(component_clause,[status(thm)],[f25224]) ).
fof(f25227,plain,
( ~ sQ53_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f25223,f25224,f24865]) ).
fof(f25228,plain,
! [X0] :
( ~ sQ62_spl
| ~ sub(c6,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f25225,f20818]) ).
fof(f25231,plain,
( ~ sQ62_spl
| ~ sub(c6,eigenname_1_1) ),
inference(resolution,[status(thm)],[f25228,f10191]) ).
fof(f25232,plain,
( ~ sQ62_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f25231,f21122,f25224]) ).
fof(f25233,plain,
( ~ sQ55_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f24877,f25224,f24871]) ).
fof(f25234,plain,
$false,
inference(sat_refutation,[status(thm)],[f20979,f21078,f21203,f24863,f24874,f24876,f25043,f25052,f25054,f25227,f25232,f25233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR116+11 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 15:13:10 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.27/0.54 % Drodi V4.1.1
% 75.34/10.09 % Refutation found
% 75.34/10.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 75.34/10.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.30/10.47 % Elapsed time: 10.092826 seconds
% 5.30/10.47 % CPU time: 76.319459 seconds
% 5.30/10.47 % Total memory used: 553.316 MB
% 5.30/10.47 % Net memory used: 527.501 MB
%------------------------------------------------------------------------------