%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR113+9 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 12:13:51 PM UTC 2026
% Result : Theorem 17.97s 7.95s
% Output : CNFRefutation 17.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 9 unt; 4 def)
% Number of atoms : 374 ( 0 equ)
% Maximal formula atoms : 258 ( 8 avg)
% Number of connectives : 395 ( 64 ~; 48 |; 277 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 258 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 5 prp; 0-12 aty)
% Number of functors : 61 ( 61 usr; 59 con; 0-2 aty)
% Number of variables : 69 ( 58 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X0,X2)
=> member(X0,cons(X1,X2)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f10188,conjecture,
? [X0,X1,X2,X3] :
( val(X0,usa_0)
& sub(X0,name_1_1)
& scar(X2,X3)
& attr(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( val(X0,usa_0)
& sub(X0,name_1_1)
& scar(X2,X3)
& attr(X1,X0) ),
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(c18018,varia_c)
& refer(c18018,refer_c)
& quant(c18018,quant_c)
& gener(c18018,gener_c)
& fact(c18018,real)
& etype(c18018,etype_c)
& card(c18018,card_c)
& sort(c18018,ent)
& sort(wissen_0,fe)
& varia(c17941,varia_c)
& refer(c17941,indet)
& quant(c17941,one)
& gener(c17941,sp)
& fact(c17941,real)
& etype(c17941,int0)
& card(c17941,int1)
& sort(c17941,na)
& varia(c17940,con)
& refer(c17940,det)
& quant(c17940,one)
& gener(c17940,sp)
& fact(c17940,real)
& etype(c17940,int0)
& card(c17940,int1)
& sort(c17940,io)
& sort(c17940,d)
& varia(erreichen_2_1,varia_c)
& refer(erreichen_2_1,refer_c)
& quant(erreichen_2_1,one)
& gener(erreichen_2_1,ge)
& fact(erreichen_2_1,real)
& etype(erreichen_2_1,int0)
& card(erreichen_2_1,int1)
& sort(erreichen_2_1,ad)
& varia(c17930,con)
& refer(c17930,det)
& quant(c17930,one)
& gener(c17930,sp)
& fact(c17930,real)
& etype(c17930,int0)
& card(c17930,int1)
& sort(c17930,ad)
& varia(bildung_1_1,varia_c)
& refer(bildung_1_1,refer_c)
& quant(bildung_1_1,one)
& gener(bildung_1_1,ge)
& fact(bildung_1_1,real)
& etype(bildung_1_1,int0)
& card(bildung_1_1,int1)
& sort(bildung_1_1,ad)
& varia(c17925,con)
& refer(c17925,det)
& quant(c17925,one)
& gener(c17925,sp)
& fact(c17925,real)
& etype(c17925,int0)
& card(c17925,int1)
& sort(c17925,ad)
& varia(zugang_1_1,varia_c)
& refer(zugang_1_1,refer_c)
& quant(zugang_1_1,one)
& gener(zugang_1_1,ge)
& fact(zugang_1_1,real)
& etype(zugang_1_1,int0)
& card(zugang_1_1,int1)
& sort(zugang_1_1,d)
& varia(c17919,varia_c)
& refer(c17919,refer_c)
& quant(c17919,one)
& gener(c17919,gener_c)
& fact(c17919,real)
& etype(c17919,int0)
& card(c17919,int1)
& sort(c17919,d)
& varia(b__374rger__1_1,varia_c)
& refer(b__374rger__1_1,refer_c)
& quant(b__374rger__1_1,one)
& gener(b__374rger__1_1,ge)
& fact(b__374rger__1_1,real)
& etype(b__374rger__1_1,int0)
& card(b__374rger__1_1,int1)
& sort(b__374rger__1_1,d)
& varia(c17913,con)
& refer(c17913,det)
& quant(c17913,all)
& gener(c17913,gener_c)
& fact(c17913,real)
& etype(c17913,int1)
& card(c17913,cons(x_constant,cons(int1,nil)))
& sort(c17913,d)
& sort(usa_0,fe)
& 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(c17911,varia_c)
& refer(c17911,indet)
& quant(c17911,one)
& gener(c17911,sp)
& fact(c17911,real)
& etype(c17911,int0)
& card(c17911,int1)
& sort(c17911,na)
& varia(c17910,con)
& refer(c17910,det)
& quant(c17910,one)
& gener(c17910,sp)
& fact(c17910,real)
& etype(c17910,int0)
& card(c17910,int1)
& sort(c17910,io)
& sort(c17910,d)
& varia(zeichen_1_1,varia_c)
& refer(zeichen_1_1,refer_c)
& quant(zeichen_1_1,one)
& gener(zeichen_1_1,ge)
& fact(zeichen_1_1,real)
& etype(zeichen_1_1,int0)
& card(zeichen_1_1,int1)
& sort(zeichen_1_1,io)
& varia(c17899,con)
& refer(c17899,det)
& quant(c17899,one)
& gener(c17899,sp)
& fact(c17899,real)
& etype(c17899,int0)
& card(c17899,int1)
& sort(c17899,io)
& varia(buch__1_1,varia_c)
& refer(buch__1_1,refer_c)
& quant(buch__1_1,one)
& gener(buch__1_1,ge)
& fact(buch__1_1,real)
& etype(buch__1_1,int0)
& card(buch__1_1,int1)
& sort(buch__1_1,io)
& sort(buch__1_1,d)
& varia(c17893,varia_c)
& refer(c17893,indet)
& quant(c17893,one)
& gener(c17893,sp)
& fact(c17893,real)
& etype(c17893,int0)
& card(c17893,int1)
& sort(c17893,io)
& sort(c17893,d)
& varia(fackel_1_1,varia_c)
& refer(fackel_1_1,refer_c)
& quant(fackel_1_1,one)
& gener(fackel_1_1,ge)
& fact(fackel_1_1,real)
& etype(fackel_1_1,int0)
& card(fackel_1_1,int1)
& sort(fackel_1_1,d)
& varia(c17888,varia_c)
& refer(c17888,indet)
& quant(c17888,one)
& gener(c17888,sp)
& fact(c17888,real)
& etype(c17888,int0)
& card(c17888,int1)
& sort(c17888,d)
& sort(new_york_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(c17885,varia_c)
& refer(c17885,indet)
& quant(c17885,one)
& gener(c17885,sp)
& fact(c17885,real)
& etype(c17885,int0)
& card(c17885,int1)
& sort(c17885,na)
& varia(c17884,con)
& refer(c17884,det)
& quant(c17884,one)
& gener(c17884,sp)
& fact(c17884,real)
& etype(c17884,int0)
& card(c17884,int1)
& sort(c17884,io)
& sort(c17884,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(c17877,con)
& refer(c17877,det)
& quant(c17877,one)
& gener(c17877,sp)
& fact(c17877,real)
& etype(c17877,int0)
& card(c17877,int1)
& sort(c17877,d)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& tupl_p12(c18018,c17877,c17884,c17888,c17893,c17899,c17910,c17913,c17919,c17925,c17930,c17940)
& val(c17941,wissen_0)
& sub(c17941,name_1_1)
& sub(c17940,stadt__1_1)
& attr(c17940,c17941)
& subs(c17930,erreichen_2_1)
& subs(c17925,bildung_1_1)
& sub(c17919,zugang_1_1)
& pred(c17913,b__374rger__1_1)
& val(c17911,usa_0)
& sub(c17911,name_1_1)
& sub(c17910,land_1_1)
& attr(c17910,c17911)
& sub(c17899,zeichen_1_1)
& sub(c17893,buch__1_1)
& sub(c17888,fackel_1_1)
& val(c17885,new_york_0)
& sub(c17885,name_1_1)
& sub(c17884,stadt__1_1)
& attr(c17884,c17885)
& sub(c17877,freiheitsstatue_1_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10191,plain,
! [X0,X1] : member(X0,cons(X0,X1)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10192,plain,
! [X0,X1,X2] :
( member(X0,cons(X1,X2))
| ~ member(X0,X2) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f10193,plain,
! [X0,X2] :
( ! [X1] : member(X0,cons(X1,X2))
| ~ member(X0,X2) ),
inference(miniscoping,[status(thm)],[f10192]) ).
fof(f10194,plain,
! [X0,X1,X2] :
( member(X0,cons(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10193]) ).
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(f10703,plain,
! [X0,X1,X2] :
( scar(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(f20815,plain,
! [X0,X1,X2,X3] :
( ~ val(X0,usa_0)
| ~ sub(X0,name_1_1)
| ~ scar(X2,X3)
| ~ attr(X1,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X0] :
( ~ val(X0,usa_0)
| ~ sub(X0,name_1_1)
| ! [X2,X3] : ~ scar(X2,X3)
| ! [X1] : ~ attr(X1,X0) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3] :
( ~ val(X1,usa_0)
| ~ sub(X1,name_1_1)
| ~ scar(X2,X3)
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20826,plain,
attr(c17910,c17911),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
sub(c17911,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
val(c17911,usa_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21111,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ val(X1,usa_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21112,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ val(X1,usa_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21111]) ).
fof(f21114,definition,
! [X2,X3] :
( sQ1_spl
<=> ~ scar(X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21115,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ scar(X0,X1) ),
inference(component_clause,[status(thm)],[f21114]) ).
fof(f21117,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21111,f21114]) ).
fof(f21131,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f10703,f21115]) ).
fof(f21132,plain,
! [X0] :
( ~ sQ1_spl
| ~ sub(c17911,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21131,f20826]) ).
fof(f21133,plain,
( ~ sQ1_spl
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21132,f20828]) ).
fof(f21134,plain,
( ~ sQ1_spl
| ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(resolution,[status(thm)],[f21133,f10194]) ).
fof(f21135,plain,
( ~ sQ1_spl
| ~ member(name_1_1,cons(name_1_1,nil)) ),
inference(resolution,[status(thm)],[f21134,f10194]) ).
fof(f21136,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21135,f10191]) ).
fof(f21137,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f21136]) ).
fof(f21138,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c17911,name_1_1)
| ~ attr(X0,c17911) ),
inference(resolution,[status(thm)],[f21112,f20829]) ).
fof(f21139,definition,
! [X0] :
( sQ4_spl
<=> ~ attr(X0,c17911) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f21140,plain,
! [X0] :
( ~ sQ4_spl
| ~ attr(X0,c17911) ),
inference(component_clause,[status(thm)],[f21139]) ).
fof(f21142,definition,
( sQ5_spl
<=> sub(c17911,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21144,plain,
( sQ5_spl
| ~ sub(c17911,name_1_1) ),
inference(component_clause,[status(thm)],[f21142]) ).
fof(f21145,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21138,f21139,f21142,f21111]) ).
fof(f21146,plain,
( ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20826,f21140]) ).
fof(f21147,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f21146]) ).
fof(f21148,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21144,f20828]) ).
fof(f21149,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f21148]) ).
fof(f21150,plain,
$false,
inference(sat_refutation,[status(thm)],[f21117,f21137,f21145,f21147,f21149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR113+9 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.41 % Computer : n008.cluster.edu
% 0.15/5.41 % Model : x86_64 x86_64
% 0.15/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.41 % Memory : 8046.5625MB
% 0.15/5.41 % OS : Linux 6.8.0-71-generic
% 0.15/5.41 % CPULimit : 300
% 0.15/5.41 % WCLimit : 300
% 0.15/5.41 % DateTime : Mon Sep 21 15:05:16 UTC 2026
% 0.15/5.41 % CPUTime :
% 0.19/5.64 % Drodi V4.1.1
% 17.97/7.95 % Refutation found
% 17.97/7.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 17.97/7.95 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 12.89/8.05 % Elapsed time: 2.617932 seconds
% 12.89/8.05 % CPU time: 18.579931 seconds
% 12.89/8.05 % Total memory used: 483.694 MB
% 12.89/8.05 % Net memory used: 480.285 MB
%------------------------------------------------------------------------------