%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+38 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 12:14:13 PM UTC 2026
% Result : Theorem 64.15s 13.65s
% Output : CNFRefutation 46.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 106 ( 19 unt; 15 def)
% Number of atoms : 775 ( 0 equ)
% Maximal formula atoms : 282 ( 7 avg)
% Number of connectives : 996 ( 327 ~; 294 |; 357 &)
% ( 15 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 282 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 43 ( 42 usr; 16 prp; 0-10 aty)
% Number of functors : 81 ( 81 usr; 76 con; 0-3 aty)
% Number of variables : 213 ( 183 !; 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)
& arg2(X3,X4)
& 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)
& arg2(X3,X4)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( varia(gemeinschaft_1_1,varia_c)
& refer(gemeinschaft_1_1,refer_c)
& quant(gemeinschaft_1_1,quant_c)
& gener(gemeinschaft_1_1,ge)
& fact(gemeinschaft_1_1,real)
& etype(gemeinschaft_1_1,int1)
& card(gemeinschaft_1_1,card_c)
& sort(gemeinschaft_1_1,d)
& varia(nicht_2_1,varia_c)
& refer(nicht_2_1,refer_c)
& quant(nicht_2_1,one)
& gener(nicht_2_1,ge)
& fact(nicht_2_1,real)
& etype(nicht_2_1,int0)
& card(nicht_2_1,int1)
& sort(nicht_2_1,o)
& card(c85,int1994)
& sort(c85,nu)
& varia(jahr__1_1,varia_c)
& refer(jahr__1_1,refer_c)
& quant(jahr__1_1,quant_c)
& gener(jahr__1_1,ge)
& fact(jahr__1_1,real)
& etype(jahr__1_1,etype_c)
& card(jahr__1_1,card_c)
& sort(jahr__1_1,ta)
& sort(jahr__1_1,oa)
& sort(jahr__1_1,me)
& card(c86,int4)
& sort(c86,nu)
& varia(monat_1_1,varia_c)
& refer(monat_1_1,refer_c)
& quant(monat_1_1,quant_c)
& gener(monat_1_1,ge)
& fact(monat_1_1,real)
& etype(monat_1_1,etype_c)
& card(monat_1_1,card_c)
& sort(monat_1_1,ta)
& sort(monat_1_1,oa)
& sort(monat_1_1,me)
& varia(c89,varia_c)
& refer(c89,refer_c)
& quant(c89,quant_c)
& gener(c89,sp)
& fact(c89,real)
& etype(c89,etype_c)
& card(c89,card_c)
& sort(c89,ta)
& sort(c89,oa)
& sort(c89,me)
& varia(c88,varia_c)
& refer(c88,refer_c)
& quant(c88,quant_c)
& gener(c88,sp)
& fact(c88,real)
& etype(c88,etype_c)
& card(c88,card_c)
& sort(c88,ta)
& sort(c88,oa)
& sort(c88,me)
& varia(c81,varia_c)
& refer(c81,refer_c)
& quant(c81,one)
& gener(c81,ge)
& fact(c81,real)
& etype(c81,int0)
& card(c81,int1)
& sort(c81,ad)
& varia(c145,varia_c)
& refer(c145,det)
& quant(c145,one)
& gener(c145,sp)
& fact(c145,real)
& etype(c145,int0)
& card(c145,int1)
& sort(c145,o)
& varia(c97,varia_c)
& refer(c97,indet)
& quant(c97,mult)
& gener(c97,gener_c)
& fact(c97,real)
& etype(c97,int1)
& card(c97,cons(x_constant,cons(int1,nil)))
& sort(c97,o)
& varia(c87,con)
& refer(c87,det)
& quant(c87,one)
& gener(c87,sp)
& fact(c87,real)
& etype(c87,int0)
& card(c87,int1)
& sort(c87,t)
& varia(c78,con)
& refer(c78,det)
& quant(c78,mult)
& gener(c78,sp)
& fact(c78,real)
& etype(c78,int1)
& card(c78,cons(x_constant,cons(int1,nil)))
& sort(c78,ad)
& varia(c217,varia_c)
& refer(c217,refer_c)
& quant(c217,quant_c)
& gener(c217,gener_c)
& fact(c217,real)
& etype(c217,etype_c)
& card(c217,card_c)
& sort(c217,ent)
& 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(c176,con)
& refer(c176,det)
& quant(c176,one)
& gener(c176,sp)
& fact(c176,real)
& etype(c176,int0)
& card(c176,int1)
& sort(c176,io)
& sort(c176,d)
& varia(l__344ndergemeinschaft_1_1,varia_c)
& refer(l__344ndergemeinschaft_1_1,refer_c)
& quant(l__344ndergemeinschaft_1_1,quant_c)
& gener(l__344ndergemeinschaft_1_1,ge)
& fact(l__344ndergemeinschaft_1_1,real)
& etype(l__344ndergemeinschaft_1_1,int1)
& card(l__344ndergemeinschaft_1_1,card_c)
& sort(l__344ndergemeinschaft_1_1,d)
& sort(erdweit_1_1,tq)
& varia(c169,con)
& refer(c169,det)
& quant(c169,one)
& gener(c169,sp)
& fact(c169,real)
& etype(c169,int1)
& card(c169,int1)
& sort(c169,d)
& varia(sanktion_1_1,varia_c)
& refer(sanktion_1_1,refer_c)
& quant(sanktion_1_1,one)
& gener(sanktion_1_1,ge)
& fact(sanktion_1_1,real)
& etype(sanktion_1_1,int0)
& card(sanktion_1_1,int1)
& sort(sanktion_1_1,io)
& sort(sanktion_1_1,ad)
& varia(c142,varia_c)
& refer(c142,refer_c)
& quant(c142,most)
& gener(c142,gener_c)
& fact(c142,real)
& etype(c142,int1)
& card(c142,cons(x_constant,cons(int1,nil)))
& sort(c142,io)
& sort(c142,ad)
& 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)
& sort(schwarz_1_1,tq)
& varia(c134,varia_c)
& refer(c134,indet)
& quant(c134,one)
& gener(c134,sp)
& fact(c134,real)
& etype(c134,int0)
& card(c134,int1)
& sort(c134,na)
& varia(c133,varia_c)
& refer(c133,indet)
& quant(c133,one)
& gener(c133,sp)
& fact(c133,real)
& etype(c133,int0)
& card(c133,int1)
& sort(c133,na)
& varia(c132,con)
& refer(c132,det)
& quant(c132,one)
& gener(c132,sp)
& fact(c132,real)
& etype(c132,int0)
& card(c132,int1)
& sort(c132,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(c128,varia_c)
& refer(c128,refer_c)
& quant(c128,one)
& gener(c128,ge)
& fact(c128,real)
& etype(c128,int0)
& card(c128,int1)
& sort(c128,d)
& varia(wahl_1_1,varia_c)
& refer(wahl_1_1,refer_c)
& quant(wahl_1_1,one)
& gener(wahl_1_1,ge)
& fact(wahl_1_1,real)
& etype(wahl_1_1,int0)
& card(wahl_1_1,int1)
& sort(wahl_1_1,ad)
& varia(c120,con)
& refer(c120,det)
& quant(c120,one)
& gener(c120,sp)
& fact(c120,real)
& etype(c120,int0)
& card(c120,int1)
& sort(c120,ad)
& varia(weizen__1_1,varia_c)
& refer(weizen__1_1,refer_c)
& quant(weizen__1_1,one)
& gener(weizen__1_1,ge)
& fact(weizen__1_1,real)
& etype(weizen__1_1,int0)
& card(weizen__1_1,int1)
& sort(weizen__1_1,d)
& varia(c102,varia_c)
& refer(c102,indet)
& quant(c102,mult)
& gener(c102,gener_c)
& fact(c102,real)
& etype(c102,int1)
& card(c102,cons(x_constant,cons(int1,nil)))
& sort(c102,d)
& sub(l__344ndergemeinschaft_1_1,gemeinschaft_1_1)
& assoc(l__344ndergemeinschaft_1_1,land_1_1)
& pred(c97,nicht_2_1)
& val(c89,c85)
& sub(c89,jahr__1_1)
& val(c88,c86)
& sub(c88,monat_1_1)
& attr(c87,c89)
& attr(c87,c88)
& pmod(c81,erst_1_1,wahl_1_1)
& preds(c78,c81)
& tupl_p10(c217,c78,c87,c97,c102,c120,c142,c145,c169,c176)
& sub(c176,land_1_1)
& sub(c169,l__344ndergemeinschaft_1_1)
& prop(c169,erdweit_1_1)
& pred(c142,sanktion_1_1)
& val(c134,mandela_0)
& sub(c134,familiename_1_1)
& val(c133,nelson_0)
& sub(c133,eigenname_1_1)
& sub(c132,c128)
& prop(c132,schwarz_1_1)
& attr(c132,c134)
& attr(c132,c133)
& attch(c132,c120)
& pmod(c128,erst_1_1,pr__344sident_1_1)
& subs(c120,wahl_1_1)
& pred(c102,weizen__1_1) ),
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(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)
| ~ arg2(X3,X4)
| ~ 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)
| ~ arg2(X3,X4)
| ~ 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(X5,nelson_0)
| ~ val(X4,mandela_0)
| ~ subr(X1,rprs_0)
| ~ sub(X3,X0)
| ~ sub(X5,eigenname_1_1)
| ~ sub(X4,familiename_1_1)
| ~ prop(X3,schwarz_1_1)
| ~ obj(X8,X2)
| ~ attr(X6,X7)
| ~ attr(X2,X5)
| ~ attr(X2,X4)
| ~ arg2(X1,X3)
| ~ arg1(X1,X2)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20820,plain,
pmod(c128,erst_1_1,pr__344sident_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20822,plain,
attr(c132,c133),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20823,plain,
attr(c132,c134),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20824,plain,
prop(c132,schwarz_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20825,plain,
sub(c132,c128),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20826,plain,
sub(c133,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20827,plain,
val(c133,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
sub(c134,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
val(c134,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21135,definition,
! [X0,X1,X2,X3,X4,X5,X8] :
( sQ0_spl
<=> ( ~ val(X5,nelson_0)
| ~ val(X4,mandela_0)
| ~ subr(X1,rprs_0)
| ~ sub(X3,X0)
| ~ sub(X5,eigenname_1_1)
| ~ sub(X4,familiename_1_1)
| ~ prop(X3,schwarz_1_1)
| ~ obj(X8,X2)
| ~ attr(X2,X5)
| ~ attr(X2,X4)
| ~ arg2(X1,X3)
| ~ arg1(X1,X2)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21136,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ0_spl
| ~ val(X5,nelson_0)
| ~ val(X4,mandela_0)
| ~ subr(X1,rprs_0)
| ~ sub(X3,X0)
| ~ sub(X5,eigenname_1_1)
| ~ sub(X4,familiename_1_1)
| ~ prop(X3,schwarz_1_1)
| ~ obj(X6,X2)
| ~ attr(X2,X5)
| ~ attr(X2,X4)
| ~ arg2(X1,X3)
| ~ arg1(X1,X2)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(component_clause,[status(thm)],[f21135]) ).
fof(f21138,definition,
! [X6,X7] :
( sQ1_spl
<=> ~ attr(X6,X7) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21139,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21138]) ).
fof(f21141,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21135,f21138]) ).
fof(f21142,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ0_spl
| ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X1,rprs_0)
| ~ sub(c132,X0)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X5,X2)
| ~ attr(X2,X4)
| ~ attr(X2,X3)
| ~ arg2(X1,c132)
| ~ arg1(X1,X2)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(resolution,[status(thm)],[f20824,f21136]) ).
fof(f21143,definition,
! [X0] :
( sQ2_spl
<=> ( ~ sub(c132,X0)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21144,plain,
! [X0] :
( ~ sQ2_spl
| ~ sub(c132,X0)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(component_clause,[status(thm)],[f21143]) ).
fof(f21146,definition,
! [X1,X2,X3,X4,X5] :
( sQ3_spl
<=> ( ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X1,rprs_0)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X5,X2)
| ~ attr(X2,X4)
| ~ attr(X2,X3)
| ~ arg2(X1,c132)
| ~ arg1(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21147,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_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)
| ~ arg2(X0,c132)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21146]) ).
fof(f21149,plain,
( ~ sQ0_spl
| sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21142,f21143,f21146,f21135]) ).
fof(f21247,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20822,f21139]) ).
fof(f21248,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f21247]) ).
fof(f21292,definition,
( sQ23_spl
<=> sub(c133,eigenname_1_1) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f21294,plain,
( sQ23_spl
| ~ sub(c133,eigenname_1_1) ),
inference(component_clause,[status(thm)],[f21292]) ).
fof(f21316,definition,
( sQ27_spl
<=> sub(c134,familiename_1_1) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f21318,plain,
( sQ27_spl
| ~ sub(c134,familiename_1_1) ),
inference(component_clause,[status(thm)],[f21316]) ).
fof(f21345,plain,
( ~ sQ2_spl
| ~ sub(c132,c128) ),
inference(resolution,[status(thm)],[f21144,f20820]) ).
fof(f21346,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21345,f20825]) ).
fof(f21347,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f21346]) ).
fof(f24841,plain,
! [X0,X1] :
( arg2(sK50_skl(X0),X0)
| ~ sub(X1,eigenname_1_1)
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f10696,f10191]) ).
fof(f24865,definition,
! [X0] :
( sQ49_spl
<=> ( ~ sub(X0,eigenname_1_1)
| ~ attr(c132,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f24866,plain,
! [X0] :
( ~ sQ49_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c132,X0) ),
inference(component_clause,[status(thm)],[f24865]) ).
fof(f24868,definition,
! [X1,X2,X3,X4] :
( sQ50_spl
<=> ( ~ val(X3,nelson_0)
| ~ val(X2,mandela_0)
| ~ sub(X3,eigenname_1_1)
| ~ sub(X2,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,X3)
| ~ attr(X1,X2)
| ~ arg1(sK50_skl(c132),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f24869,plain,
! [X0,X1,X2,X3] :
( ~ sQ50_spl
| ~ val(X2,nelson_0)
| ~ val(X1,mandela_0)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ obj(X3,X0)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg1(sK50_skl(c132),X0) ),
inference(component_clause,[status(thm)],[f24868]) ).
fof(f24875,plain,
( ~ sQ49_spl
| ~ sub(c133,eigenname_1_1) ),
inference(resolution,[status(thm)],[f24866,f20822]) ).
fof(f24877,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24875,f20826]) ).
fof(f24878,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f24877]) ).
fof(f24907,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ50_spl
| ~ sub(X3,X4)
| ~ member(X4,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c132,X3)
| ~ val(X1,nelson_0)
| ~ val(X0,mandela_0)
| ~ sub(X1,eigenname_1_1)
| ~ sub(X0,familiename_1_1)
| ~ obj(X2,c132)
| ~ attr(c132,X1)
| ~ attr(c132,X0) ),
inference(resolution,[status(thm)],[f24869,f10695]) ).
fof(f24908,definition,
! [X0] :
( sQ52_spl
<=> ( ~ val(X0,mandela_0)
| ~ sub(X0,familiename_1_1)
| ~ attr(c132,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f24909,plain,
! [X0] :
( ~ sQ52_spl
| ~ val(X0,mandela_0)
| ~ sub(X0,familiename_1_1)
| ~ attr(c132,X0) ),
inference(component_clause,[status(thm)],[f24908]) ).
fof(f24911,definition,
! [X1] :
( sQ53_spl
<=> ( ~ val(X1,nelson_0)
| ~ sub(X1,eigenname_1_1)
| ~ attr(c132,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f24912,plain,
! [X0] :
( ~ sQ53_spl
| ~ val(X0,nelson_0)
| ~ sub(X0,eigenname_1_1)
| ~ attr(c132,X0) ),
inference(component_clause,[status(thm)],[f24911]) ).
fof(f24914,definition,
! [X2] :
( sQ54_spl
<=> ~ obj(X2,c132) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f24915,plain,
! [X0] :
( ~ sQ54_spl
| ~ obj(X0,c132) ),
inference(component_clause,[status(thm)],[f24914]) ).
fof(f24917,definition,
! [X3,X4] :
( sQ55_spl
<=> ( ~ sub(X3,X4)
| ~ member(X4,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c132,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f24918,plain,
! [X0,X1] :
( ~ sQ55_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c132,X0) ),
inference(component_clause,[status(thm)],[f24917]) ).
fof(f24920,plain,
( ~ sQ50_spl
| sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f24907,f24908,f24911,f24914,f24917,f24868]) ).
fof(f24921,plain,
! [X0,X1] :
( ~ sQ54_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c132,X0) ),
inference(resolution,[status(thm)],[f24915,f10702]) ).
fof(f25023,plain,
( ~ sQ53_spl
| ~ val(c133,nelson_0)
| ~ sub(c133,eigenname_1_1) ),
inference(resolution,[status(thm)],[f24912,f20822]) ).
fof(f25025,definition,
( sQ58_spl
<=> val(c133,nelson_0) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f25027,plain,
( sQ58_spl
| ~ val(c133,nelson_0) ),
inference(component_clause,[status(thm)],[f25025]) ).
fof(f25028,plain,
( ~ sQ53_spl
| ~ sQ58_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f25023,f21292,f25025,f24911]) ).
fof(f25036,plain,
( sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25027,f20827]) ).
fof(f25037,plain,
sQ58_spl,
inference(contradiction_clause,[status(thm)],[f25036]) ).
fof(f25038,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21294,f20826]) ).
fof(f25039,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f25038]) ).
fof(f25060,plain,
( ~ sQ52_spl
| ~ val(c134,mandela_0)
| ~ sub(c134,familiename_1_1) ),
inference(resolution,[status(thm)],[f24909,f20823]) ).
fof(f25068,definition,
( sQ64_spl
<=> val(c134,mandela_0) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f25070,plain,
( sQ64_spl
| ~ val(c134,mandela_0) ),
inference(component_clause,[status(thm)],[f25068]) ).
fof(f25071,plain,
( ~ sQ52_spl
| ~ sQ64_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f25060,f21316,f25068,f24908]) ).
fof(f25072,plain,
( sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25070,f20829]) ).
fof(f25073,plain,
sQ64_spl,
inference(contradiction_clause,[status(thm)],[f25072]) ).
fof(f25074,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21318,f20828]) ).
fof(f25075,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f25074]) ).
fof(f25107,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(sK53_skl(c132,X1,X0),rprs_0)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X5,X2)
| ~ attr(X2,X4)
| ~ attr(X2,X3)
| ~ arg1(sK53_skl(c132,X1,X0),X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,c132)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f10709,f21147]) ).
fof(f25110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X5,X2)
| ~ attr(X2,X4)
| ~ attr(X2,X3)
| ~ arg1(sK53_skl(c132,X1,X0),X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,c132)
| ~ arg1(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f25107,f10713]) ).
fof(f25130,plain,
! [X0] :
( ~ sQ55_spl
| ~ sub(c133,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f24918,f20822]) ).
fof(f25133,plain,
( ~ sQ55_spl
| ~ sub(c133,eigenname_1_1) ),
inference(resolution,[status(thm)],[f25130,f10191]) ).
fof(f25134,plain,
( ~ sQ55_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f25133,f21292,f24917]) ).
fof(f25135,plain,
( ~ sQ54_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f24921,f24917,f24914]) ).
fof(f25181,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,c132)
| ~ arg1(X0,X1)
| ~ val(X3,nelson_0)
| ~ val(X2,mandela_0)
| ~ sub(X3,eigenname_1_1)
| ~ sub(X2,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,X3)
| ~ attr(X1,X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,c132)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f25110,f10708]) ).
fof(f25182,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ val(X3,nelson_0)
| ~ val(X2,mandela_0)
| ~ sub(X3,eigenname_1_1)
| ~ sub(X2,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,X3)
| ~ attr(X1,X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,c132)
| ~ arg1(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f25181]) ).
fof(f25280,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sub(X4,eigenname_1_1)
| ~ attr(c132,X4)
| ~ val(X2,nelson_0)
| ~ val(X1,mandela_0)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ obj(X3,X0)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ subs(sK50_skl(c132),hei__337en_1_1)
| ~ arg1(sK50_skl(c132),X0) ),
inference(resolution,[status(thm)],[f25182,f24841]) ).
fof(f25282,definition,
( sQ67_spl
<=> subs(sK50_skl(c132),hei__337en_1_1) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f25284,plain,
( sQ67_spl
| ~ subs(sK50_skl(c132),hei__337en_1_1) ),
inference(component_clause,[status(thm)],[f25282]) ).
fof(f25285,plain,
( ~ sQ3_spl
| sQ49_spl
| ~ sQ67_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f25280,f24868,f25282,f24865,f21146]) ).
fof(f25286,plain,
! [X0,X1] :
( sQ67_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c132,X0) ),
inference(resolution,[status(thm)],[f25284,f10697]) ).
fof(f25288,plain,
( sQ67_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f25286,f24917,f25282]) ).
fof(f25289,plain,
$false,
inference(sat_refutation,[status(thm)],[f21141,f21149,f21248,f21347,f24878,f24920,f25028,f25037,f25039,f25071,f25073,f25075,f25134,f25135,f25285,f25288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+38 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n001.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 15:15:35 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.16/5.52 % Drodi V4.1.1
% 64.15/13.65 % Refutation found
% 64.15/13.65 % SZS status Theorem for theBenchmark: Theorem is valid
% 64.15/13.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 46.75/13.75 % Elapsed time: 8.352336 seconds
% 46.75/13.75 % CPU time: 64.822741 seconds
% 46.75/13.75 % Total memory used: 563.180 MB
% 46.75/13.75 % Net memory used: 541.260 MB
%------------------------------------------------------------------------------