%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+17 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 12:14:09 PM UTC 2026
% Result : Theorem 129.15s 17.06s
% Output : CNFRefutation 121.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 35
% Syntax : Number of formulae : 180 ( 38 unt; 24 def)
% Number of atoms : 947 ( 0 equ)
% Maximal formula atoms : 323 ( 5 avg)
% Number of connectives : 1132 ( 365 ~; 323 |; 414 &)
% ( 24 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 323 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 57 ( 56 usr; 25 prp; 0-8 aty)
% Number of functors : 94 ( 94 usr; 86 con; 0-3 aty)
% Number of variables : 285 ( 245 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X0,X1] :
( fact(X0,X1)
=> has_fact_leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X0,X1] :
( etype(X0,X1)
=> has_etype_leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,axiom,
! [X0,X1] :
( ( loc(X1,X0)
& has_fact_leq(X1,real) )
=> ? [X2] :
( subs(X2,geben_1_1)
& obj(X2,X1)
& loc(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f155,axiom,
! [X0,X1,X2] :
( ( state_adjective_state_binding(X1,X2)
& prop(X0,X1) )
=> ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,axiom,
agtrel(kaufen_1_1,k__344ufer_1_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9161,axiom,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10188,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( val(X7,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X7,name_1_1)
& sub(X4,X9)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& obj(X8,X0)
& attr(X6,X7)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& in(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( val(X7,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X7,name_1_1)
& sub(X4,X9)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& obj(X8,X0)
& attr(X6,X7)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& in(X5,X6) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( sort(afrikanisch__1_1,nq)
& varia(west__1_1,varia_c)
& refer(west__1_1,refer_c)
& quant(west__1_1,one)
& gener(west__1_1,ge)
& fact(west__1_1,real)
& etype(west__1_1,int0)
& card(west__1_1,int1)
& sort(west__1_1,io)
& sort(west__1_1,d)
& gener(leben_2_1,ge)
& fact(leben_2_1,real)
& sort(leben_2_1,dn)
& varia(frau_1_1,varia_c)
& refer(frau_1_1,refer_c)
& quant(frau_1_1,one)
& gener(frau_1_1,ge)
& fact(frau_1_1,real)
& etype(frau_1_1,int0)
& card(frau_1_1,int1)
& sort(frau_1_1,d)
& varia(ehe_2_1,varia_c)
& refer(ehe_2_1,refer_c)
& quant(ehe_2_1,one)
& gener(ehe_2_1,ge)
& fact(ehe_2_1,real)
& etype(ehe_2_1,int0)
& card(ehe_2_1,int1)
& sort(ehe_2_1,re)
& sort(ehe_2_1,as)
& varia(c63,varia_c)
& refer(c63,refer_c)
& quant(c63,quant_c)
& gener(c63,gener_c)
& fact(c63,real)
& etype(c63,etype_c)
& card(c63,card_c)
& sort(c63,ent)
& varia(c3203,varia_c)
& refer(c3203,refer_c)
& quant(c3203,quant_c)
& gener(c3203,gener_c)
& fact(c3203,real)
& etype(c3203,etype_c)
& card(c3203,card_c)
& sort(c3203,ent)
& sort(westafrikanisch_1_1,nq)
& 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(c2767,varia_c)
& refer(c2767,refer_c)
& quant(c2767,mult)
& gener(c2767,gener_c)
& fact(c2767,real)
& etype(c2767,int1)
& card(c2767,cons(x_constant,cons(int1,nil)))
& sort(c2767,io)
& sort(c2767,d)
& varia(reise__1_1,varia_c)
& refer(reise__1_1,refer_c)
& quant(reise__1_1,one)
& gener(reise__1_1,ge)
& fact(reise__1_1,real)
& etype(reise__1_1,int0)
& card(reise__1_1,int1)
& sort(reise__1_1,ad)
& varia(c2753,varia_c)
& refer(c2753,indet)
& quant(c2753,one)
& gener(c2753,sp)
& fact(c2753,real)
& etype(c2753,int0)
& card(c2753,int1)
& sort(c2753,ad)
& varia(donnerstag__1_1,varia_c)
& refer(donnerstag__1_1,refer_c)
& quant(donnerstag__1_1,one)
& gener(donnerstag__1_1,ge)
& fact(donnerstag__1_1,real)
& etype(donnerstag__1_1,int0)
& card(donnerstag__1_1,int1)
& sort(donnerstag__1_1,ta)
& varia(c2746,con)
& refer(c2746,det)
& quant(c2746,one)
& gener(c2746,sp)
& fact(c2746,real)
& etype(c2746,int0)
& card(c2746,int1)
& sort(c2746,ta)
& varia(ehefrau_1_1,varia_c)
& refer(ehefrau_1_1,refer_c)
& quant(ehefrau_1_1,one)
& gener(ehefrau_1_1,ge)
& fact(ehefrau_1_1,real)
& etype(ehefrau_1_1,int0)
& card(ehefrau_1_1,int1)
& sort(ehefrau_1_1,d)
& sort(c2638,tq)
& varia(c2736,varia_c)
& refer(c2736,refer_c)
& quant(c2736,one)
& gener(c2736,gener_c)
& fact(c2736,real)
& etype(c2736,int0)
& card(c2736,int1)
& sort(c2736,d)
& sort(nelson_0,fe)
& 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(s__374dafrikanisch_1_1,nq)
& varia(c2726,varia_c)
& refer(c2726,indet)
& quant(c2726,one)
& gener(c2726,sp)
& fact(c2726,real)
& etype(c2726,int0)
& card(c2726,int1)
& sort(c2726,na)
& varia(c2725,varia_c)
& refer(c2725,indet)
& quant(c2725,one)
& gener(c2725,sp)
& fact(c2725,real)
& etype(c2725,int0)
& card(c2725,int1)
& sort(c2725,na)
& varia(c2724,con)
& refer(c2724,det)
& quant(c2724,one)
& gener(c2724,sp)
& fact(c2724,real)
& etype(c2724,int0)
& card(c2724,int1)
& sort(c2724,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(winnie_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(c2650,varia_c)
& refer(c2650,indet)
& quant(c2650,one)
& gener(c2650,sp)
& fact(c2650,real)
& etype(c2650,int0)
& card(c2650,int1)
& sort(c2650,na)
& varia(c2649,varia_c)
& refer(c2649,indet)
& quant(c2649,one)
& gener(c2649,sp)
& fact(c2649,real)
& etype(c2649,int0)
& card(c2649,int1)
& sort(c2649,na)
& varia(c2648,con)
& refer(c2648,det)
& quant(c2648,one)
& gener(c2648,sp)
& fact(c2648,real)
& etype(c2648,int0)
& card(c2648,int1)
& sort(c2648,d)
& card(c21,int3)
& sort(c21,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)
& card(c20,int2)
& sort(c20,nu)
& varia(tag_1_1,varia_c)
& refer(tag_1_1,refer_c)
& quant(tag_1_1,quant_c)
& gener(tag_1_1,ge)
& fact(tag_1_1,real)
& etype(tag_1_1,etype_c)
& card(tag_1_1,card_c)
& sort(tag_1_1,ta)
& sort(tag_1_1,oa)
& sort(tag_1_1,me)
& varia(c24,varia_c)
& refer(c24,refer_c)
& quant(c24,quant_c)
& gener(c24,sp)
& fact(c24,real)
& etype(c24,etype_c)
& card(c24,card_c)
& sort(c24,ta)
& sort(c24,oa)
& sort(c24,me)
& varia(c23,varia_c)
& refer(c23,refer_c)
& quant(c23,quant_c)
& gener(c23,sp)
& fact(c23,real)
& etype(c23,etype_c)
& card(c23,card_c)
& sort(c23,ta)
& sort(c23,oa)
& sort(c23,me)
& varia(c22,con)
& refer(c22,det)
& quant(c22,one)
& gener(c22,sp)
& fact(c22,real)
& etype(c22,int0)
& card(c22,int1)
& sort(c22,t)
& sort(johannesburg_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(stadt__1_1,varia_c)
& refer(stadt__1_1,refer_c)
& quant(stadt__1_1,one)
& gener(stadt__1_1,ge)
& fact(stadt__1_1,real)
& etype(stadt__1_1,int0)
& card(stadt__1_1,int1)
& sort(stadt__1_1,io)
& sort(stadt__1_1,d)
& varia(c14,varia_c)
& refer(c14,indet)
& quant(c14,one)
& gener(c14,sp)
& fact(c14,real)
& etype(c14,int0)
& card(c14,int1)
& sort(c14,na)
& varia(c13,con)
& refer(c13,det)
& quant(c13,one)
& gener(c13,sp)
& fact(c13,real)
& etype(c13,int0)
& card(c13,int1)
& sort(c13,io)
& sort(c13,d)
& impl(westafrikanisch_1_1,afrikanisch__1_1)
& assoc(westafrikanisch_1_1,west__1_1)
& chsp1(leben_2_1,c2638)
& sub(ehefrau_1_1,frau_1_1)
& assoc(ehefrau_1_1,ehe_2_1)
& tupl(c63,c13,c22)
& tupl_p8(c3203,c2648,c2648,c2724,c2736,c2746,c2753,c2767)
& prop(c2767,westafrikanisch_1_1)
& pred(c2767,land_1_1)
& subs(c2753,reise__1_1)
& sub(c2746,donnerstag__1_1)
& sub(c2736,ehefrau_1_1)
& prop(c2736,c2638)
& val(c2726,mandela_0)
& sub(c2726,familiename_1_1)
& val(c2725,nelson_0)
& sub(c2725,eigenname_1_1)
& sub(c2724,pr__344sident_1_1)
& prop(c2724,s__374dafrikanisch_1_1)
& attr(c2724,c2726)
& attr(c2724,c2725)
& val(c2650,mandela_0)
& sub(c2650,familiename_1_1)
& val(c2649,winnie_0)
& sub(c2649,eigenname_1_1)
& sub(c2648,mensch_1_1)
& attr(c2648,c2650)
& attr(c2648,c2649)
& val(c24,c21)
& sub(c24,monat_1_1)
& val(c23,c20)
& sub(c23,tag_1_1)
& attr(c22,c24)
& attr(c22,c23)
& val(c14,johannesburg_0)
& sub(c14,name_1_1)
& sub(c13,stadt__1_1)
& attr(c13,c14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10191,plain,
! [X0,X1] : member(X0,cons(X0,X1)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10209,plain,
! [X0,X1] :
( has_fact_leq(X0,X1)
| ~ fact(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f10210,plain,
! [X0,X1] :
( has_fact_leq(X0,X1)
| ~ fact(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10209]) ).
fof(f10234,plain,
! [X0,X1] :
( has_etype_leq(X0,X1)
| ~ etype(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f10235,plain,
! [X0,X1] :
( has_etype_leq(X0,X1)
| ~ etype(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10234]) ).
fof(f10363,plain,
! [X0,X1] :
( ? [X2] :
( subs(X2,geben_1_1)
& obj(X2,X1)
& loc(X2,X0) )
| ~ loc(X1,X0)
| ~ has_fact_leq(X1,real) ),
inference(pre_NNF_transformation,[status(thm)],[f95]) ).
fof(f10364,plain,
! [X0,X1] :
( ( subs(sK2_skl(X1,X0),geben_1_1)
& obj(sK2_skl(X1,X0),X1)
& loc(sK2_skl(X1,X0),X0) )
| ~ loc(X1,X0)
| ~ has_fact_leq(X1,real) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(X2,sK2_skl(X1,X0))],[f10363]) ).
fof(f10366,plain,
! [X0,X1] :
( ~ has_fact_leq(X0,real)
| obj(sK2_skl(X0,X1),X0)
| ~ loc(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10364]) ).
fof(f10674,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) )
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f155]) ).
fof(f10675,plain,
! [X0,X2] :
( ? [X4] :
( val(X4,X2)
& sub(X4,name_1_1)
& ? [X3] :
( sub(X3,land_1_1)
& ? [X5] :
( loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) ) ) )
| ! [X1] :
( ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ) ),
inference(miniscoping,[status(thm)],[f10674]) ).
fof(f10676,plain,
! [X0,X2] :
( ( val(sK47_skl(X2,X0),X2)
& sub(sK47_skl(X2,X0),name_1_1)
& sub(sK48_skl(X2,X0),land_1_1)
& loc(X0,sK49_skl(X2,X0))
& attr(sK48_skl(X2,X0),sK47_skl(X2,X0))
& in(sK49_skl(X2,X0),sK48_skl(X2,X0)) )
| ! [X1] :
( ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl]),skolemize(X4,sK47_skl(X2,X0)),skolemize(X3,sK48_skl(X2,X0)),skolemize(X5,sK49_skl(X2,X0))],[f10675]) ).
fof(f10677,plain,
! [X0,X1,X2] :
( ~ prop(X2,X0)
| in(sK49_skl(X1,X2),sK48_skl(X1,X2))
| ~ state_adjective_state_binding(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10678,plain,
! [X0,X1,X2] :
( ~ prop(X2,X0)
| attr(sK48_skl(X1,X2),sK47_skl(X1,X2))
| ~ state_adjective_state_binding(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10679,plain,
! [X0,X1,X2] :
( ~ prop(X2,X0)
| loc(X2,sK49_skl(X1,X2))
| ~ state_adjective_state_binding(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10681,plain,
! [X0,X1,X2] :
( ~ prop(X1,X2)
| ~ state_adjective_state_binding(X2,X0)
| sub(sK47_skl(X0,X1),name_1_1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10682,plain,
! [X0,X1,X2] :
( ~ state_adjective_state_binding(X1,X2)
| val(sK47_skl(X2,X0),X2)
| ~ prop(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
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)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X1,X2)
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10696,plain,
! [X0,X1,X2] :
( ~ sub(X2,X1)
| ~ attr(X0,X2)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| arg2(sK50_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10697,plain,
! [X0,X1,X2] :
( ~ attr(X0,X1)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X1,X2)
| subs(sK50_skl(X0),hei__337en_1_1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
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] :
( ~ arg2(X2,X0)
| ~ arg1(X2,X1)
| ~ subs(X2,hei__337en_1_1)
| arg1(sK53_skl(X0,X1,X2),X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10709,plain,
! [X0,X1,X2] :
( ~ arg1(X2,X1)
| ~ arg2(X2,X0)
| ~ subs(X2,hei__337en_1_1)
| arg2(sK53_skl(X0,X1,X2),X0) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10713,plain,
! [X0,X1,X2] :
( ~ subs(X0,hei__337en_1_1)
| subr(sK53_skl(X2,X1,X0),rprs_0)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10817,plain,
agtrel(kaufen_1_1,k__344ufer_1_1),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f19788,plain,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
inference(cnf_transformation,[status(thm)],[f9161]) ).
fof(f20815,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ val(X7,s__374dafrika_0)
| ~ val(X2,nelson_0)
| ~ val(X1,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X7,name_1_1)
| ~ sub(X4,X9)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ obj(X8,X0)
| ~ attr(X6,X7)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0)
| ~ in(X5,X6) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X7] :
( ~ val(X7,s__374dafrika_0)
| ! [X2] :
( ~ val(X2,nelson_0)
| ! [X1] :
( ~ val(X1,mandela_0)
| ! [X3] :
( ~ subr(X3,rprs_0)
| ~ sub(X7,name_1_1)
| ! [X4] :
( ! [X9] : ~ sub(X4,X9)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ! [X0] :
( ! [X8] : ~ obj(X8,X0)
| ! [X6] :
( ~ attr(X6,X7)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0)
| ! [X5] : ~ in(X5,X6) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ val(X7,s__374dafrika_0)
| ~ val(X6,nelson_0)
| ~ val(X5,mandela_0)
| ~ subr(X2,rprs_0)
| ~ sub(X7,name_1_1)
| ~ sub(X4,X9)
| ~ sub(X6,eigenname_1_1)
| ~ sub(X5,familiename_1_1)
| ~ obj(X8,X3)
| ~ attr(X1,X7)
| ~ attr(X3,X6)
| ~ attr(X3,X5)
| ~ arg2(X2,X4)
| ~ arg1(X2,X3)
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20830,plain,
sub(c2648,mensch_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20835,plain,
attr(c2724,c2725),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20836,plain,
attr(c2724,c2726),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20837,plain,
prop(c2724,s__374dafrikanisch_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20838,plain,
sub(c2724,pr__344sident_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20839,plain,
sub(c2725,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20840,plain,
val(c2725,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20841,plain,
sub(c2726,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20842,plain,
val(c2726,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20893,plain,
etype(c22,int0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20945,plain,
etype(c2648,int0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20995,plain,
etype(c2724,int0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20996,plain,
fact(c2724,real),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21003,plain,
etype(c2725,int0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21011,plain,
etype(c2726,int0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21012,plain,
fact(c2726,real),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21176,definition,
! [X0,X1,X7] :
( sQ0_spl
<=> ( ~ val(X7,s__374dafrika_0)
| ~ sub(X7,name_1_1)
| ~ attr(X1,X7)
| ~ in(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21177,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ attr(X1,X2)
| ~ val(X2,s__374dafrika_0)
| ~ sub(X2,name_1_1)
| ~ in(X0,X1) ),
inference(component_clause,[status(thm)],[f21176]) ).
fof(f21179,definition,
! [X2,X3,X4,X5,X6,X8,X9] :
( sQ1_spl
<=> ( ~ val(X6,nelson_0)
| ~ val(X5,mandela_0)
| ~ subr(X2,rprs_0)
| ~ sub(X4,X9)
| ~ sub(X6,eigenname_1_1)
| ~ sub(X5,familiename_1_1)
| ~ obj(X8,X3)
| ~ attr(X3,X6)
| ~ attr(X3,X5)
| ~ arg2(X2,X4)
| ~ arg1(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21180,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_spl
| ~ obj(X6,X2)
| ~ subr(X0,rprs_0)
| ~ arg1(X0,X2)
| ~ val(X5,nelson_0)
| ~ attr(X2,X5)
| ~ val(X3,mandela_0)
| ~ sub(X3,familiename_1_1)
| ~ sub(X5,eigenname_1_1)
| ~ sub(X1,X4)
| ~ attr(X2,X3)
| ~ arg2(X0,X1) ),
inference(component_clause,[status(thm)],[f21179]) ).
fof(f21182,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21176,f21179]) ).
fof(f21738,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ in(X3,X2)
| ~ attr(X2,sK47_skl(s__374dafrika_0,X0))
| ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,s__374dafrika_0)
| ~ sub(sK47_skl(s__374dafrika_0,X0),name_1_1) ),
inference(resolution,[status(thm)],[f10682,f21177]) ).
fof(f21871,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ prop(X1,X3)
| ~ state_adjective_state_binding(X3,s__374dafrika_0)
| ~ in(X2,X0)
| ~ attr(X0,sK47_skl(s__374dafrika_0,X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f21738,f10681]) ).
fof(f22071,plain,
! [X0] :
( ~ prop(X0,s__374dafrikanisch_1_1)
| attr(sK48_skl(s__374dafrika_0,X0),sK47_skl(s__374dafrika_0,X0)) ),
inference(resolution,[status(thm)],[f10678,f19788]) ).
fof(f22072,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ in(X2,sK48_skl(s__374dafrika_0,X1))
| ~ prop(X1,s__374dafrikanisch_1_1)
| ~ prop(X1,X0)
| ~ state_adjective_state_binding(X0,s__374dafrika_0) ),
inference(resolution,[status(thm)],[f22071,f21871]) ).
fof(f22108,plain,
! [X0] :
( in(sK49_skl(s__374dafrika_0,X0),sK48_skl(s__374dafrika_0,X0))
| ~ prop(X0,s__374dafrikanisch_1_1) ),
inference(resolution,[status(thm)],[f10677,f19788]) ).
fof(f22109,plain,
in(sK49_skl(s__374dafrika_0,c2724),sK48_skl(s__374dafrika_0,c2724)),
inference(resolution,[status(thm)],[f22108,f20837]) ).
fof(f22113,plain,
! [X0] :
( ~ sQ0_spl
| ~ prop(c2724,s__374dafrikanisch_1_1)
| ~ prop(c2724,X0)
| ~ state_adjective_state_binding(X0,s__374dafrika_0) ),
inference(resolution,[status(thm)],[f22109,f22072]) ).
fof(f22117,definition,
! [X0] :
( sQ60_spl
<=> ( ~ prop(c2724,X0)
| ~ state_adjective_state_binding(X0,s__374dafrika_0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f22118,plain,
! [X0] :
( ~ sQ60_spl
| ~ prop(c2724,X0)
| ~ state_adjective_state_binding(X0,s__374dafrika_0) ),
inference(component_clause,[status(thm)],[f22117]) ).
fof(f22120,definition,
( sQ61_spl
<=> prop(c2724,s__374dafrikanisch_1_1) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f22122,plain,
( sQ61_spl
| ~ prop(c2724,s__374dafrikanisch_1_1) ),
inference(component_clause,[status(thm)],[f22120]) ).
fof(f22123,plain,
( ~ sQ0_spl
| ~ sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f22113,f22117,f22120,f21176]) ).
fof(f22138,plain,
( sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22122,f20837]) ).
fof(f22139,plain,
sQ61_spl,
inference(contradiction_clause,[status(thm)],[f22138]) ).
fof(f22140,plain,
( ~ sQ60_spl
| ~ prop(c2724,s__374dafrikanisch_1_1) ),
inference(resolution,[status(thm)],[f22118,f19788]) ).
fof(f22141,plain,
( ~ sQ60_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f22140,f22120,f22117]) ).
fof(f22143,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ obj(X5,X2)
| ~ subr(X0,rprs_0)
| ~ arg1(X0,X2)
| ~ attr(X2,c2725)
| ~ val(X3,mandela_0)
| ~ sub(X3,familiename_1_1)
| ~ sub(c2725,eigenname_1_1)
| ~ sub(X1,X4)
| ~ attr(X2,X3)
| ~ arg2(X0,X1) ),
inference(resolution,[status(thm)],[f21180,f20840]) ).
fof(f22144,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ66_spl
<=> ( ~ obj(X5,X2)
| ~ subr(X0,rprs_0)
| ~ arg1(X0,X2)
| ~ attr(X2,c2725)
| ~ val(X3,mandela_0)
| ~ sub(X3,familiename_1_1)
| ~ sub(X1,X4)
| ~ attr(X2,X3)
| ~ arg2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f22145,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ66_spl
| ~ arg2(X2,X3)
| ~ obj(X5,X1)
| ~ val(X0,mandela_0)
| ~ subr(X2,rprs_0)
| ~ sub(X3,X4)
| ~ arg1(X2,X1)
| ~ attr(X1,c2725)
| ~ attr(X1,X0)
| ~ sub(X0,familiename_1_1) ),
inference(component_clause,[status(thm)],[f22144]) ).
fof(f22147,definition,
( sQ67_spl
<=> sub(c2725,eigenname_1_1) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f22149,plain,
( sQ67_spl
| ~ sub(c2725,eigenname_1_1) ),
inference(component_clause,[status(thm)],[f22147]) ).
fof(f22150,plain,
( ~ sQ1_spl
| ~ sQ67_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f22143,f22144,f22147,f21179]) ).
fof(f22151,plain,
( sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22149,f20839]) ).
fof(f22152,plain,
sQ67_spl,
inference(contradiction_clause,[status(thm)],[f22151]) ).
fof(f22153,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ66_spl
| ~ arg2(X1,X2)
| ~ obj(X4,c2724)
| ~ val(X0,mandela_0)
| ~ subr(X1,rprs_0)
| ~ sub(X2,X3)
| ~ arg1(X1,c2724)
| ~ attr(c2724,X0)
| ~ sub(X0,familiename_1_1) ),
inference(resolution,[status(thm)],[f22145,f20835]) ).
fof(f22154,definition,
! [X0] :
( sQ68_spl
<=> ( ~ val(X0,mandela_0)
| ~ attr(c2724,X0)
| ~ sub(X0,familiename_1_1) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f22155,plain,
! [X0] :
( ~ sQ68_spl
| ~ sub(X0,familiename_1_1)
| ~ attr(c2724,X0)
| ~ val(X0,mandela_0) ),
inference(component_clause,[status(thm)],[f22154]) ).
fof(f22157,definition,
! [X1,X2,X3] :
( sQ69_spl
<=> ( ~ arg2(X1,X2)
| ~ subr(X1,rprs_0)
| ~ sub(X2,X3)
| ~ arg1(X1,c2724) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f22158,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| ~ subr(X0,rprs_0)
| ~ arg2(X0,X1)
| ~ sub(X1,X2)
| ~ arg1(X0,c2724) ),
inference(component_clause,[status(thm)],[f22157]) ).
fof(f22160,definition,
! [X4] :
( sQ70_spl
<=> ~ obj(X4,c2724) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f22161,plain,
! [X0] :
( ~ sQ70_spl
| ~ obj(X0,c2724) ),
inference(component_clause,[status(thm)],[f22160]) ).
fof(f22163,plain,
( ~ sQ66_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f22153,f22154,f22157,f22160,f22144]) ).
fof(f22167,plain,
! [X0] :
( ~ sQ70_spl
| ~ has_fact_leq(c2724,real)
| ~ loc(c2724,X0) ),
inference(resolution,[status(thm)],[f22161,f10366]) ).
fof(f22177,definition,
! [X0] :
( sQ71_spl
<=> ~ loc(c2724,X0) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f22178,plain,
! [X0] :
( ~ sQ71_spl
| ~ loc(c2724,X0) ),
inference(component_clause,[status(thm)],[f22177]) ).
fof(f22180,definition,
( sQ72_spl
<=> has_fact_leq(c2724,real) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f22182,plain,
( sQ72_spl
| ~ has_fact_leq(c2724,real) ),
inference(component_clause,[status(thm)],[f22180]) ).
fof(f22183,plain,
( ~ sQ70_spl
| ~ sQ72_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f22167,f22177,f22180,f22160]) ).
fof(f22198,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ69_spl
| ~ subs(X0,hei__337en_1_1)
| ~ arg1(X0,X4)
| ~ arg1(sK53_skl(X1,X4,X0),c2724)
| ~ arg2(sK53_skl(X1,X4,X0),X2)
| ~ sub(X2,X3)
| ~ arg2(X0,X1) ),
inference(resolution,[status(thm)],[f22158,f10713]) ).
fof(f22200,plain,
! [X0,X1] :
( ~ sQ71_spl
| ~ prop(c2724,X0)
| ~ state_adjective_state_binding(X0,X1) ),
inference(resolution,[status(thm)],[f22178,f10679]) ).
fof(f22215,definition,
! [X0] :
( sQ77_spl
<=> ~ sub(c2724,X0) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f22216,plain,
! [X0] :
( ~ sQ77_spl
| ~ sub(c2724,X0) ),
inference(component_clause,[status(thm)],[f22215]) ).
fof(f22222,definition,
( sQ79_spl
<=> has_etype_leq(c2724,int0) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f22224,plain,
( sQ79_spl
| ~ has_etype_leq(c2724,int0) ),
inference(component_clause,[status(thm)],[f22222]) ).
fof(f22242,plain,
( ~ sQ77_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20838,f22216]) ).
fof(f22261,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f22242]) ).
fof(f22262,plain,
( ~ sQ68_spl
| ~ sub(c2726,familiename_1_1)
| ~ val(c2726,mandela_0) ),
inference(resolution,[status(thm)],[f22155,f20836]) ).
fof(f22271,definition,
( sQ89_spl
<=> val(c2726,mandela_0) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f22273,plain,
( sQ89_spl
| ~ val(c2726,mandela_0) ),
inference(component_clause,[status(thm)],[f22271]) ).
fof(f22274,definition,
( sQ90_spl
<=> sub(c2726,familiename_1_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f22276,plain,
( sQ90_spl
| ~ sub(c2726,familiename_1_1) ),
inference(component_clause,[status(thm)],[f22274]) ).
fof(f22277,plain,
( ~ sQ68_spl
| ~ sQ90_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f22262,f22271,f22274,f22154]) ).
fof(f22278,plain,
( sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22273,f20842]) ).
fof(f22279,plain,
sQ89_spl,
inference(contradiction_clause,[status(thm)],[f22278]) ).
fof(f22280,plain,
( sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22276,f20841]) ).
fof(f22281,plain,
sQ90_spl,
inference(contradiction_clause,[status(thm)],[f22280]) ).
fof(f22326,definition,
( sQ97_spl
<=> has_etype_leq(c2725,int0) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f22328,plain,
( sQ97_spl
| ~ has_etype_leq(c2725,int0) ),
inference(component_clause,[status(thm)],[f22326]) ).
fof(f22370,definition,
( sQ103_spl
<=> has_etype_leq(c2726,int0) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f22372,plain,
( sQ103_spl
| ~ has_etype_leq(c2726,int0) ),
inference(component_clause,[status(thm)],[f22370]) ).
fof(f22626,plain,
( sQ72_spl
| ~ fact(c2724,real) ),
inference(resolution,[status(thm)],[f22182,f10210]) ).
fof(f22627,plain,
( sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22626,f20996]) ).
fof(f22628,plain,
sQ72_spl,
inference(contradiction_clause,[status(thm)],[f22627]) ).
fof(f22688,plain,
( sQ79_spl
| ~ etype(c2724,int0) ),
inference(resolution,[status(thm)],[f22224,f10235]) ).
fof(f22689,plain,
( sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22688,f20995]) ).
fof(f22690,plain,
sQ79_spl,
inference(contradiction_clause,[status(thm)],[f22689]) ).
fof(f22701,plain,
( sQ97_spl
| ~ etype(c2725,int0) ),
inference(resolution,[status(thm)],[f22328,f10235]) ).
fof(f22702,plain,
( sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22701,f21003]) ).
fof(f22703,plain,
sQ97_spl,
inference(contradiction_clause,[status(thm)],[f22702]) ).
fof(f22704,plain,
( sQ103_spl
| ~ etype(c2726,int0) ),
inference(resolution,[status(thm)],[f22372,f10235]) ).
fof(f22705,plain,
( sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22704,f21011]) ).
fof(f22706,plain,
sQ103_spl,
inference(contradiction_clause,[status(thm)],[f22705]) ).
fof(f22779,plain,
( ~ sQ71_spl
| ~ prop(c2724,s__374dafrikanisch_1_1) ),
inference(resolution,[status(thm)],[f22200,f19788]) ).
fof(f22780,plain,
( ~ sQ71_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f22779,f22120,f22177]) ).
fof(f22797,definition,
( sQ163_spl
<=> has_fact_leq(c2726,real) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f22799,plain,
( sQ163_spl
| ~ has_fact_leq(c2726,real) ),
inference(component_clause,[status(thm)],[f22797]) ).
fof(f22803,plain,
( sQ163_spl
| ~ fact(c2726,real) ),
inference(resolution,[status(thm)],[f22799,f10210]) ).
fof(f22804,plain,
( sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22803,f21012]) ).
fof(f22805,plain,
sQ163_spl,
inference(contradiction_clause,[status(thm)],[f22804]) ).
fof(f26013,definition,
! [X0] :
( sQ520_spl
<=> ~ sub(c2648,X0) ),
introduced(definition,[new_symbols(definition,[sQ520_spl])],[split_symbol_definition]) ).
fof(f26014,plain,
! [X0] :
( ~ sQ520_spl
| ~ sub(c2648,X0) ),
inference(component_clause,[status(thm)],[f26013]) ).
fof(f26020,definition,
( sQ522_spl
<=> has_etype_leq(c2648,int0) ),
introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).
fof(f26022,plain,
( sQ522_spl
| ~ has_etype_leq(c2648,int0) ),
inference(component_clause,[status(thm)],[f26020]) ).
fof(f26061,plain,
( ~ sQ520_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20830,f26014]) ).
fof(f26088,plain,
~ sQ520_spl,
inference(contradiction_clause,[status(thm)],[f26061]) ).
fof(f26338,plain,
( sQ522_spl
| ~ etype(c2648,int0) ),
inference(resolution,[status(thm)],[f26022,f10235]) ).
fof(f26339,plain,
( sQ522_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f26338,f20945]) ).
fof(f26340,plain,
sQ522_spl,
inference(contradiction_clause,[status(thm)],[f26339]) ).
fof(f26396,definition,
( sQ545_spl
<=> has_etype_leq(c22,int0) ),
introduced(definition,[new_symbols(definition,[sQ545_spl])],[split_symbol_definition]) ).
fof(f26398,plain,
( sQ545_spl
| ~ has_etype_leq(c22,int0) ),
inference(component_clause,[status(thm)],[f26396]) ).
fof(f26833,plain,
( sQ545_spl
| ~ etype(c22,int0) ),
inference(resolution,[status(thm)],[f26398,f10235]) ).
fof(f26834,plain,
( sQ545_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f26833,f20893]) ).
fof(f26835,plain,
sQ545_spl,
inference(contradiction_clause,[status(thm)],[f26834]) ).
fof(f28192,definition,
! [X1] :
( sQ706_spl
<=> ~ agtrel(X1,k__344ufer_1_1) ),
introduced(definition,[new_symbols(definition,[sQ706_spl])],[split_symbol_definition]) ).
fof(f28193,plain,
! [X0] :
( ~ sQ706_spl
| ~ agtrel(X0,k__344ufer_1_1) ),
inference(component_clause,[status(thm)],[f28192]) ).
fof(f28197,plain,
( ~ sQ706_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f10817,f28193]) ).
fof(f28199,plain,
~ sQ706_spl,
inference(contradiction_clause,[status(thm)],[f28197]) ).
fof(f28246,plain,
! [X0,X1,X2,X3] :
( ~ sQ69_spl
| ~ subs(X0,hei__337en_1_1)
| ~ arg1(X0,X2)
| ~ arg1(sK53_skl(X1,X2,X0),c2724)
| ~ sub(X1,X3)
| ~ arg2(X0,X1)
| ~ arg1(X0,X2)
| ~ arg2(X0,X1)
| ~ subs(X0,hei__337en_1_1) ),
inference(resolution,[status(thm)],[f10709,f22198]) ).
fof(f28248,plain,
! [X0,X1,X2,X3] :
( ~ sQ69_spl
| ~ subs(X0,hei__337en_1_1)
| ~ arg1(X0,X2)
| ~ sub(X1,X3)
| ~ arg1(sK53_skl(X1,X2,X0),c2724)
| ~ arg2(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f28246]) ).
fof(f28320,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| ~ arg2(X0,X1)
| ~ arg1(X0,c2724)
| ~ subs(X0,hei__337en_1_1)
| ~ subs(X0,hei__337en_1_1)
| ~ arg1(X0,c2724)
| ~ sub(X1,X2)
| ~ arg2(X0,X1) ),
inference(resolution,[status(thm)],[f28248,f10708]) ).
fof(f28321,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| ~ subs(X0,hei__337en_1_1)
| ~ arg1(X0,c2724)
| ~ sub(X1,X2)
| ~ arg2(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f28320]) ).
fof(f28326,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ69_spl
| ~ arg2(sK50_skl(X4),X1)
| ~ attr(X4,X3)
| ~ arg1(sK50_skl(X4),c2724)
| ~ sub(X3,X0)
| ~ sub(X1,X2)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f28321,f10697]) ).
fof(f28330,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ69_spl
| ~ member(X5,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X4,X5)
| ~ attr(c2724,X4)
| ~ arg2(sK50_skl(c2724),X1)
| ~ attr(c2724,X3)
| ~ sub(X3,X0)
| ~ sub(X1,X2)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f28326,f10695]) ).
fof(f28331,definition,
! [X0,X3] :
( sQ716_spl
<=> ( ~ attr(c2724,X3)
| ~ sub(X3,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ) ),
introduced(definition,[new_symbols(definition,[sQ716_spl])],[split_symbol_definition]) ).
fof(f28332,plain,
! [X0,X1] :
( ~ sQ716_spl
| ~ sub(X1,X0)
| ~ attr(c2724,X1)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(component_clause,[status(thm)],[f28331]) ).
fof(f28334,definition,
! [X1,X2] :
( sQ717_spl
<=> ( ~ arg2(sK50_skl(c2724),X1)
| ~ sub(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ717_spl])],[split_symbol_definition]) ).
fof(f28335,plain,
! [X0,X1] :
( ~ sQ717_spl
| ~ arg2(sK50_skl(c2724),X0)
| ~ sub(X0,X1) ),
inference(component_clause,[status(thm)],[f28334]) ).
fof(f28337,plain,
( ~ sQ69_spl
| sQ717_spl
| sQ716_spl ),
inference(split_clause,[status(thm)],[f28330,f28331,f28334,f22157]) ).
fof(f28339,plain,
! [X0] :
( ~ sQ716_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c2724,X0) ),
inference(resolution,[status(thm)],[f28332,f10191]) ).
fof(f28341,plain,
( ~ sQ716_spl
| ~ sub(c2725,eigenname_1_1) ),
inference(resolution,[status(thm)],[f28339,f20835]) ).
fof(f28343,plain,
( ~ sQ716_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f28341,f22147,f28331]) ).
fof(f28438,plain,
! [X0,X1,X2] :
( ~ sQ717_spl
| ~ sub(X2,X1)
| ~ attr(c2724,X2)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(c2724,X0) ),
inference(resolution,[status(thm)],[f28335,f10696]) ).
fof(f28439,plain,
( ~ sQ717_spl
| sQ716_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f28438,f22215,f28331,f28334]) ).
fof(f28440,plain,
$false,
inference(sat_refutation,[status(thm)],[f21182,f22123,f22139,f22141,f22150,f22152,f22163,f22183,f22261,f22277,f22279,f22281,f22628,f22690,f22703,f22706,f22780,f22805,f26088,f26340,f26835,f28199,f28337,f28343,f28439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR116+17 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n001.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 15:14:29 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.37/0.72 % Drodi V4.1.1
% 129.15/17.06 % Refutation found
% 129.15/17.06 % SZS status Theorem for theBenchmark: Theorem is valid
% 129.15/17.06 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.97/17.26 % Elapsed time: 16.784523 seconds
% 21.97/17.26 % CPU time: 129.976642 seconds
% 21.97/17.26 % Total memory used: 658.847 MB
% 21.97/17.26 % Net memory used: 620.011 MB
%------------------------------------------------------------------------------