%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR113+10 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 12:13:47 PM UTC 2026
% Result : Theorem 19.72s 3.11s
% Output : CNFRefutation 20.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 63 ( 13 unt; 5 def)
% Number of atoms : 502 ( 0 equ)
% Maximal formula atoms : 299 ( 7 avg)
% Number of connectives : 546 ( 107 ~; 92 |; 339 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 299 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 6 prp; 0-11 aty)
% Number of functors : 65 ( 65 usr; 61 con; 0-2 aty)
% Number of variables : 105 ( 84 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
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(f176,axiom,
! [X0,X1] :
( ( bei(X0,X1)
| an(X0,X1)
| in(X0,X1) )
=> flp(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f180,axiom,
! [X0,X1] :
( loc(X0,X1)
=> ? [X2] :
( subs(X2,stehen_1_1)
& scar(X2,X0)
& loc(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9006,axiom,
state_adjective_state_binding(amerikanisch__1_1,usa_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10188,conjecture,
? [X0,X1,X2,X3,X4] :
( val(X1,usa_0)
& subs(X3,stehen_1_1)
& sub(X1,name_1_1)
& scar(X3,X4)
& loc(X3,X0)
& attr(X2,X1)
& flp(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( val(X1,usa_0)
& subs(X3,stehen_1_1)
& sub(X1,name_1_1)
& scar(X3,X4)
& loc(X3,X0)
& attr(X2,X1)
& flp(X0,X2) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( varia(statue_1_1,varia_c)
& refer(statue_1_1,refer_c)
& quant(statue_1_1,one)
& gener(statue_1_1,ge)
& fact(statue_1_1,real)
& etype(statue_1_1,int0)
& card(statue_1_1,int1)
& sort(statue_1_1,d)
& varia(freiheit_1_1,varia_c)
& refer(freiheit_1_1,refer_c)
& quant(freiheit_1_1,one)
& gener(freiheit_1_1,ge)
& fact(freiheit_1_1,real)
& etype(freiheit_1_1,int0)
& card(freiheit_1_1,int1)
& sort(freiheit_1_1,io)
& sort(freiheit_1_1,as)
& varia(c81513,varia_c)
& refer(c81513,refer_c)
& quant(c81513,quant_c)
& gener(c81513,gener_c)
& fact(c81513,real)
& etype(c81513,etype_c)
& card(c81513,card_c)
& sort(c81513,ent)
& sort(new_jersey_0,fe)
& varia(c81410,varia_c)
& refer(c81410,indet)
& quant(c81410,one)
& gener(c81410,sp)
& fact(c81410,real)
& etype(c81410,int0)
& card(c81410,int1)
& sort(c81410,na)
& varia(c81409,con)
& refer(c81409,det)
& quant(c81409,one)
& gener(c81409,sp)
& fact(c81409,real)
& etype(c81409,int0)
& card(c81409,int1)
& sort(c81409,io)
& sort(c81409,d)
& sort(usa_0,fe)
& varia(c81402,varia_c)
& refer(c81402,indet)
& quant(c81402,one)
& gener(c81402,sp)
& fact(c81402,real)
& etype(c81402,int0)
& card(c81402,int1)
& sort(c81402,na)
& varia(c81401,con)
& refer(c81401,det)
& quant(c81401,one)
& gener(c81401,sp)
& fact(c81401,real)
& etype(c81401,int0)
& card(c81401,int1)
& sort(c81401,io)
& sort(c81401,d)
& varia(bezirk__1_1,varia_c)
& refer(bezirk__1_1,refer_c)
& quant(bezirk__1_1,one)
& gener(bezirk__1_1,ge)
& fact(bezirk__1_1,real)
& etype(bezirk__1_1,int0)
& card(bezirk__1_1,int1)
& sort(bezirk__1_1,d)
& varia(c81395,con)
& refer(c81395,det)
& quant(c81395,one)
& gener(c81395,sp)
& fact(c81395,real)
& etype(c81395,int0)
& card(c81395,int1)
& sort(c81395,d)
& varia(enklave_1_1,varia_c)
& refer(enklave_1_1,refer_c)
& quant(enklave_1_1,one)
& gener(enklave_1_1,ge)
& fact(enklave_1_1,real)
& etype(enklave_1_1,int0)
& card(enklave_1_1,int1)
& sort(enklave_1_1,d)
& varia(c81378,varia_c)
& refer(c81378,refer_c)
& quant(c81378,one)
& gener(c81378,gener_c)
& fact(c81378,real)
& etype(c81378,int0)
& card(c81378,int1)
& sort(c81378,d)
& varia(service_1_1,varia_c)
& refer(service_1_1,refer_c)
& quant(service_1_1,one)
& gener(service_1_1,ge)
& fact(service_1_1,real)
& etype(service_1_1,int0)
& card(service_1_1,int1)
& sort(service_1_1,ad)
& varia(c81373,varia_c)
& refer(c81373,refer_c)
& quant(c81373,one)
& gener(c81373,gener_c)
& fact(c81373,real)
& etype(c81373,int0)
& card(c81373,int1)
& sort(c81373,ad)
& varia(park__1_1,varia_c)
& refer(park__1_1,refer_c)
& quant(park__1_1,one)
& gener(park__1_1,ge)
& fact(park__1_1,real)
& etype(park__1_1,int0)
& card(park__1_1,int1)
& sort(park__1_1,d)
& varia(c81368,varia_c)
& refer(c81368,refer_c)
& quant(c81368,one)
& gener(c81368,gener_c)
& fact(c81368,real)
& etype(c81368,int0)
& card(c81368,int1)
& sort(c81368,d)
& varia(national_2_1,varia_c)
& refer(national_2_1,refer_c)
& quant(national_2_1,one)
& gener(national_2_1,ge)
& fact(national_2_1,real)
& etype(national_2_1,int0)
& card(national_2_1,int1)
& sort(national_2_1,o)
& varia(c81366,con)
& refer(c81366,det)
& quant(c81366,one)
& gener(c81366,sp)
& fact(c81366,real)
& etype(c81366,int0)
& card(c81366,int1)
& sort(c81366,o)
& sort(amerikanisch__1_1,nq)
& varia(c81355,con)
& refer(c81355,det)
& quant(c81355,one)
& gener(c81355,sp)
& fact(c81355,real)
& etype(c81355,int1)
& card(c81355,int1)
& sort(c81355,io)
& sort(c81355,d)
& sort(liberty_island_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(c81340,varia_c)
& refer(c81340,indet)
& quant(c81340,one)
& gener(c81340,sp)
& fact(c81340,real)
& etype(c81340,int0)
& card(c81340,int1)
& sort(c81340,na)
& varia(c81339,con)
& refer(c81339,det)
& quant(c81339,one)
& gener(c81339,sp)
& fact(c81339,real)
& etype(c81339,int0)
& card(c81339,int1)
& sort(c81339,d)
& varia(insel__1_1,varia_c)
& refer(insel__1_1,refer_c)
& quant(insel__1_1,one)
& gener(insel__1_1,ge)
& fact(insel__1_1,real)
& etype(insel__1_1,int0)
& card(insel__1_1,int1)
& sort(insel__1_1,d)
& varia(c81332,con)
& refer(c81332,det)
& quant(c81332,one)
& gener(c81332,sp)
& fact(c81332,real)
& etype(c81332,int0)
& card(c81332,int1)
& sort(c81332,d)
& varia(freiheitsstatue_1_1,varia_c)
& refer(freiheitsstatue_1_1,refer_c)
& quant(freiheitsstatue_1_1,one)
& gener(freiheitsstatue_1_1,ge)
& fact(freiheitsstatue_1_1,real)
& etype(freiheitsstatue_1_1,int0)
& card(freiheitsstatue_1_1,int1)
& sort(freiheitsstatue_1_1,d)
& varia(c81293,con)
& refer(c81293,det)
& quant(c81293,one)
& gener(c81293,sp)
& fact(c81293,real)
& etype(c81293,int0)
& card(c81293,int1)
& sort(c81293,d)
& varia(regierung_1_1,varia_c)
& refer(regierung_1_1,refer_c)
& quant(regierung_1_1,quant_c)
& gener(regierung_1_1,ge)
& fact(regierung_1_1,real)
& etype(regierung_1_1,int1)
& card(regierung_1_1,card_c)
& sort(regierung_1_1,io)
& sort(regierung_1_1,d)
& varia(bund_1_1,varia_c)
& refer(bund_1_1,refer_c)
& quant(bund_1_1,quant_c)
& gener(bund_1_1,ge)
& fact(bund_1_1,real)
& etype(bund_1_1,int1)
& card(bund_1_1,card_c)
& sort(bund_1_1,io)
& sort(bund_1_1,d)
& varia(bunderegierung_1_1,varia_c)
& refer(bunderegierung_1_1,refer_c)
& quant(bunderegierung_1_1,quant_c)
& gener(bunderegierung_1_1,ge)
& fact(bunderegierung_1_1,real)
& etype(bunderegierung_1_1,int1)
& card(bunderegierung_1_1,card_c)
& sort(bunderegierung_1_1,io)
& sort(bunderegierung_1_1,d)
& 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(gebietsinstitution_1_1,varia_c)
& refer(gebietsinstitution_1_1,refer_c)
& quant(gebietsinstitution_1_1,quant_c)
& gener(gebietsinstitution_1_1,gener_c)
& fact(gebietsinstitution_1_1,real)
& etype(gebietsinstitution_1_1,etype_c)
& card(gebietsinstitution_1_1,card_c)
& sort(gebietsinstitution_1_1,ent)
& varia(bund_2_1,varia_c)
& refer(bund_2_1,refer_c)
& quant(bund_2_1,quant_c)
& gener(bund_2_1,ge)
& fact(bund_2_1,real)
& etype(bund_2_1,int1)
& card(bund_2_1,card_c)
& sort(bund_2_1,d)
& varia(bundeland_1_1,varia_c)
& refer(bundeland_1_1,refer_c)
& quant(bundeland_1_1,one)
& gener(bundeland_1_1,ge)
& fact(bundeland_1_1,real)
& etype(bundeland_1_1,int0)
& card(bundeland_1_1,int1)
& sort(bundeland_1_1,io)
& sort(bundeland_1_1,d)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& tupl_p11(c81513,c81293,c81332,c81339,c81355,c81366,c81368,c81373,c81378,c81395,c81409)
& val(c81410,new_jersey_0)
& sub(c81410,name_1_1)
& sub(c81409,bundeland_1_1)
& attr(c81409,c81410)
& val(c81402,usa_0)
& sub(c81402,name_1_1)
& sub(c81401,land_1_1)
& attr(c81401,c81402)
& attch(c81401,c81395)
& sub(c81395,bezirk__1_1)
& sub(c81378,enklave_1_1)
& subs(c81373,service_1_1)
& sub(c81368,park__1_1)
& sub(c81366,national_2_1)
& sub(c81355,bunderegierung_1_1)
& prop(c81355,amerikanisch__1_1)
& val(c81340,liberty_island_0)
& sub(c81340,name_1_1)
& sub(c81339,insel__1_1)
& attr(c81339,c81340)
& sub(c81332,insel__1_1)
& sub(c81293,freiheitsstatue_1_1)
& sub(bunderegierung_1_1,regierung_1_1)
& assoc(bunderegierung_1_1,bund_1_1)
& sub(bundeland_1_1,land_1_1)
& sub(bundeland_1_1,gebietsinstitution_1_1)
& assoc(bundeland_1_1,bund_2_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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] :
( in(sK49_skl(X2,X0),sK48_skl(X2,X0))
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10678,plain,
! [X0,X1,X2] :
( ~ state_adjective_state_binding(X1,X2)
| attr(sK48_skl(X2,X0),sK47_skl(X2,X0))
| ~ prop(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10679,plain,
! [X0,X1,X2] :
( loc(X0,sK49_skl(X2,X0))
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10681,plain,
! [X0,X1,X2] :
( ~ prop(X2,X0)
| sub(sK47_skl(X1,X2),name_1_1)
| ~ state_adjective_state_binding(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10682,plain,
! [X0,X1,X2] :
( ~ state_adjective_state_binding(X2,X0)
| ~ prop(X1,X2)
| val(sK47_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10784,plain,
! [X0,X1] :
( flp(X0,X1)
| ( ~ bei(X0,X1)
& ~ an(X0,X1)
& ~ in(X0,X1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f176]) ).
fof(f10785,plain,
! [X0,X1] :
( ~ in(X0,X1)
| flp(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10784]) ).
fof(f10801,plain,
! [X0,X1] :
( ? [X2] :
( subs(X2,stehen_1_1)
& scar(X2,X0)
& loc(X2,X1) )
| ~ loc(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f180]) ).
fof(f10802,plain,
! [X0,X1] :
( ( subs(sK62_skl(X1,X0),stehen_1_1)
& scar(sK62_skl(X1,X0),X0)
& loc(sK62_skl(X1,X0),X1) )
| ~ loc(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62_skl]),skolemize(X2,sK62_skl(X1,X0))],[f10801]) ).
fof(f10803,plain,
! [X0,X1] :
( loc(sK62_skl(X1,X0),X1)
| ~ loc(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10802]) ).
fof(f10804,plain,
! [X0,X1] :
( scar(sK62_skl(X1,X0),X0)
| ~ loc(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10802]) ).
fof(f10805,plain,
! [X0,X1] :
( ~ loc(X1,X0)
| subs(sK62_skl(X0,X1),stehen_1_1) ),
inference(cnf_transformation,[status(thm)],[f10802]) ).
fof(f19633,plain,
state_adjective_state_binding(amerikanisch__1_1,usa_0),
inference(cnf_transformation,[status(thm)],[f9006]) ).
fof(f20815,plain,
! [X0,X1,X2,X3,X4] :
( ~ val(X1,usa_0)
| ~ subs(X3,stehen_1_1)
| ~ sub(X1,name_1_1)
| ~ scar(X3,X4)
| ~ loc(X3,X0)
| ~ attr(X2,X1)
| ~ flp(X0,X2) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X1] :
( ~ val(X1,usa_0)
| ! [X3] :
( ~ subs(X3,stehen_1_1)
| ~ sub(X1,name_1_1)
| ! [X4] : ~ scar(X3,X4)
| ! [X0] :
( ~ loc(X3,X0)
| ! [X2] :
( ~ attr(X2,X1)
| ~ flp(X0,X2) ) ) ) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4] :
( ~ attr(X4,X2)
| ~ val(X2,usa_0)
| ~ flp(X3,X4)
| ~ loc(X0,X3)
| ~ subs(X0,stehen_1_1)
| ~ sub(X2,name_1_1)
| ~ scar(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20829,plain,
prop(c81355,amerikanisch__1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21658,plain,
! [X0] :
( loc(X0,sK49_skl(usa_0,X0))
| ~ prop(X0,amerikanisch__1_1) ),
inference(resolution,[status(thm)],[f10679,f19633]) ).
fof(f21721,plain,
! [X0] :
( ~ prop(X0,amerikanisch__1_1)
| sub(sK47_skl(usa_0,X0),name_1_1) ),
inference(resolution,[status(thm)],[f10681,f19633]) ).
fof(f21764,plain,
loc(c81355,sK49_skl(usa_0,c81355)),
inference(resolution,[status(thm)],[f21658,f20829]) ).
fof(f21788,plain,
sub(sK47_skl(usa_0,c81355),name_1_1),
inference(resolution,[status(thm)],[f21721,f20829]) ).
fof(f21808,plain,
subs(sK62_skl(sK49_skl(usa_0,c81355),c81355),stehen_1_1),
inference(resolution,[status(thm)],[f21764,f10805]) ).
fof(f21836,definition,
( sQ9_spl
<=> val(sK47_skl(usa_0,c81355),usa_0) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f21838,plain,
( sQ9_spl
| ~ val(sK47_skl(usa_0,c81355),usa_0) ),
inference(component_clause,[status(thm)],[f21836]) ).
fof(f22065,plain,
! [X0] :
( ~ prop(X0,amerikanisch__1_1)
| in(sK49_skl(usa_0,X0),sK48_skl(usa_0,X0)) ),
inference(resolution,[status(thm)],[f10677,f19633]) ).
fof(f22109,plain,
in(sK49_skl(usa_0,c81355),sK48_skl(usa_0,c81355)),
inference(resolution,[status(thm)],[f22065,f20829]) ).
fof(f22222,plain,
! [X0,X1,X2,X3] :
( ~ attr(X3,X1)
| ~ val(X1,usa_0)
| ~ flp(X2,X3)
| ~ loc(sK62_skl(sK49_skl(usa_0,c81355),c81355),X2)
| ~ sub(X1,name_1_1)
| ~ scar(sK62_skl(sK49_skl(usa_0,c81355),c81355),X0) ),
inference(resolution,[status(thm)],[f21808,f20817]) ).
fof(f22225,definition,
! [X0] :
( sQ19_spl
<=> ~ scar(sK62_skl(sK49_skl(usa_0,c81355),c81355),X0) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f22226,plain,
! [X0] :
( ~ sQ19_spl
| ~ scar(sK62_skl(sK49_skl(usa_0,c81355),c81355),X0) ),
inference(component_clause,[status(thm)],[f22225]) ).
fof(f22228,definition,
! [X1,X2,X3] :
( sQ20_spl
<=> ( ~ attr(X3,X1)
| ~ val(X1,usa_0)
| ~ flp(X2,X3)
| ~ loc(sK62_skl(sK49_skl(usa_0,c81355),c81355),X2)
| ~ sub(X1,name_1_1) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f22229,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| ~ flp(X0,X2)
| ~ attr(X2,X1)
| ~ sub(X1,name_1_1)
| ~ val(X1,usa_0)
| ~ loc(sK62_skl(sK49_skl(usa_0,c81355),c81355),X0) ),
inference(component_clause,[status(thm)],[f22228]) ).
fof(f22231,plain,
( sQ20_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f22222,f22225,f22228]) ).
fof(f22435,plain,
scar(sK62_skl(sK49_skl(usa_0,c81355),c81355),c81355),
inference(resolution,[status(thm)],[f10804,f21764]) ).
fof(f22437,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22435,f22226]) ).
fof(f22438,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f22437]) ).
fof(f22455,plain,
loc(sK62_skl(sK49_skl(usa_0,c81355),c81355),sK49_skl(usa_0,c81355)),
inference(resolution,[status(thm)],[f10803,f21764]) ).
fof(f22670,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ attr(X1,X0)
| ~ flp(sK49_skl(usa_0,c81355),X1)
| ~ val(X0,usa_0)
| ~ sub(X0,name_1_1) ),
inference(resolution,[status(thm)],[f22455,f22229]) ).
fof(f22691,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ attr(X1,X0)
| ~ in(sK49_skl(usa_0,c81355),X1)
| ~ val(X0,usa_0)
| ~ sub(X0,name_1_1) ),
inference(resolution,[status(thm)],[f22670,f10785]) ).
fof(f22692,plain,
! [X0] :
( ~ sQ20_spl
| ~ attr(sK48_skl(usa_0,c81355),X0)
| ~ sub(X0,name_1_1)
| ~ val(X0,usa_0) ),
inference(resolution,[status(thm)],[f22691,f22109]) ).
fof(f22713,plain,
! [X0] :
( ~ sQ20_spl
| ~ state_adjective_state_binding(X0,usa_0)
| ~ prop(c81355,X0)
| ~ sub(sK47_skl(usa_0,c81355),name_1_1)
| ~ val(sK47_skl(usa_0,c81355),usa_0) ),
inference(resolution,[status(thm)],[f22692,f10678]) ).
fof(f22716,definition,
( sQ41_spl
<=> sub(sK47_skl(usa_0,c81355),name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f22718,plain,
( sQ41_spl
| ~ sub(sK47_skl(usa_0,c81355),name_1_1) ),
inference(component_clause,[status(thm)],[f22716]) ).
fof(f22719,definition,
! [X0] :
( sQ42_spl
<=> ( ~ state_adjective_state_binding(X0,usa_0)
| ~ prop(c81355,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f22720,plain,
! [X0] :
( ~ sQ42_spl
| ~ prop(c81355,X0)
| ~ state_adjective_state_binding(X0,usa_0) ),
inference(component_clause,[status(thm)],[f22719]) ).
fof(f22722,plain,
( ~ sQ20_spl
| sQ42_spl
| ~ sQ41_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f22713,f21836,f22716,f22719,f22228]) ).
fof(f22723,plain,
( sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22718,f21788]) ).
fof(f22724,plain,
sQ41_spl,
inference(contradiction_clause,[status(thm)],[f22723]) ).
fof(f22727,plain,
( ~ sQ42_spl
| ~ prop(c81355,amerikanisch__1_1) ),
inference(resolution,[status(thm)],[f22720,f19633]) ).
fof(f22728,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22727,f20829]) ).
fof(f22729,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f22728]) ).
fof(f22730,plain,
! [X0] :
( sQ9_spl
| ~ state_adjective_state_binding(X0,usa_0)
| ~ prop(c81355,X0) ),
inference(resolution,[status(thm)],[f21838,f10682]) ).
fof(f22731,plain,
( sQ9_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f22730,f22719,f21836]) ).
fof(f22732,plain,
$false,
inference(sat_refutation,[status(thm)],[f22231,f22438,f22722,f22724,f22729,f22731]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR113+10 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 15:02:44 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.22/0.50 % Drodi V4.1.1
% 19.72/3.11 % Refutation found
% 19.72/3.11 % SZS status Theorem for theBenchmark: Theorem is valid
% 19.72/3.11 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.86/3.22 % Elapsed time: 2.830719 seconds
% 0.86/3.22 % CPU time: 20.978445 seconds
% 0.86/3.22 % Total memory used: 504.090 MB
% 0.86/3.22 % Net memory used: 498.754 MB
%------------------------------------------------------------------------------