%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR113+29 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 12:13:50 PM UTC 2026
% Result : Theorem 18.29s 2.98s
% Output : CNFRefutation 18.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 9 unt; 5 def)
% Number of atoms : 312 ( 0 equ)
% Maximal formula atoms : 187 ( 6 avg)
% Number of connectives : 330 ( 64 ~; 53 |; 206 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 187 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 6 prp; 0-6 aty)
% Number of functors : 57 ( 57 usr; 55 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(kueste_1_1,varia_c)
& refer(kueste_1_1,refer_c)
& quant(kueste_1_1,one)
& gener(kueste_1_1,ge)
& fact(kueste_1_1,real)
& etype(kueste_1_1,int0)
& card(kueste_1_1,int1)
& sort(kueste_1_1,d)
& 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(vereinigen_1_1,ge)
& fact(vereinigen_1_1,real)
& sort(vereinigen_1_1,dn)
& 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(c770,varia_c)
& refer(c770,refer_c)
& quant(c770,quant_c)
& gener(c770,gener_c)
& fact(c770,real)
& etype(c770,etype_c)
& card(c770,card_c)
& sort(c770,ent)
& 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)
& sort(weit_1_1,mq)
& varia(c633,varia_c)
& refer(c633,indet)
& quant(c633,one)
& gener(c633,sp)
& fact(c633,real)
& etype(c633,int0)
& card(c633,int1)
& sort(c633,d)
& sort(usa_0,fe)
& varia(c629,varia_c)
& refer(c629,indet)
& quant(c629,one)
& gener(c629,sp)
& fact(c629,real)
& etype(c629,int0)
& card(c629,int1)
& sort(c629,na)
& varia(c628,con)
& refer(c628,det)
& quant(c628,one)
& gener(c628,sp)
& fact(c628,real)
& etype(c628,int0)
& card(c628,int1)
& sort(c628,io)
& sort(c628,d)
& varia(westkueste_1_1,varia_c)
& refer(westkueste_1_1,refer_c)
& quant(westkueste_1_1,one)
& gener(westkueste_1_1,ge)
& fact(westkueste_1_1,real)
& etype(westkueste_1_1,int0)
& card(westkueste_1_1,int1)
& sort(westkueste_1_1,d)
& varia(c586,con)
& refer(c586,det)
& quant(c586,one)
& gener(c586,sp)
& fact(c586,real)
& etype(c586,int0)
& card(c586,int1)
& sort(c586,d)
& sort(seattle_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(c582,varia_c)
& refer(c582,indet)
& quant(c582,one)
& gener(c582,sp)
& fact(c582,real)
& etype(c582,int0)
& card(c582,int1)
& sort(c582,na)
& varia(c581,con)
& refer(c581,det)
& quant(c581,one)
& gener(c581,sp)
& fact(c581,real)
& etype(c581,int0)
& card(c581,int1)
& sort(c581,io)
& sort(c581,d)
& varia(in_2_1,varia_c)
& refer(in_2_1,refer_c)
& quant(in_2_1,one)
& gener(in_2_1,ge)
& fact(in_2_1,real)
& etype(in_2_1,int0)
& card(in_2_1,int1)
& sort(in_2_1,o)
& varia(c574,varia_c)
& refer(c574,refer_c)
& quant(c574,one)
& gener(c574,gener_c)
& fact(c574,real)
& etype(c574,int0)
& card(c574,int1)
& sort(c574,o)
& sort(vereinigt_1_1,tq)
& 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(c573,varia_c)
& refer(c573,refer_c)
& quant(c573,mult)
& gener(c573,gener_c)
& fact(c573,real)
& etype(c573,int1)
& card(c573,cons(x_constant,cons(int1,nil)))
& sort(c573,io)
& sort(c573,d)
& sub(westkueste_1_1,kueste_1_1)
& assoc(westkueste_1_1,west__1_1)
& chsp2(vereinigen_1_1,vereinigt_1_1)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& tupl_p6(c770,c573,c574,c581,c586,c633)
& sub(c633,freiheitsstatue_1_1)
& prop(c633,weit_1_1)
& val(c629,usa_0)
& sub(c629,name_1_1)
& sub(c628,land_1_1)
& attr(c628,c629)
& attch(c628,c586)
& sub(c586,westkueste_1_1)
& val(c582,seattle_0)
& sub(c582,name_1_1)
& sub(c581,stadt__1_1)
& attr(c581,c582)
& sub(c574,in_2_1)
& prop(c573,vereinigt_1_1)
& pred(c573,land_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(f20827,plain,
attr(c628,c629),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
sub(c629,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20830,plain,
val(c629,usa_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21040,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(f21041,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ val(X1,usa_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21040]) ).
fof(f21043,definition,
! [X2,X3] :
( sQ1_spl
<=> ~ scar(X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21044,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ scar(X0,X1) ),
inference(component_clause,[status(thm)],[f21043]) ).
fof(f21046,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21040,f21043]) ).
fof(f21047,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c629,name_1_1)
| ~ attr(X0,c629) ),
inference(resolution,[status(thm)],[f20830,f21041]) ).
fof(f21048,definition,
! [X0] :
( sQ2_spl
<=> ~ attr(X0,c629) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21049,plain,
! [X0] :
( ~ sQ2_spl
| ~ attr(X0,c629) ),
inference(component_clause,[status(thm)],[f21048]) ).
fof(f21051,definition,
( sQ3_spl
<=> sub(c629,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21052,plain,
( ~ sQ3_spl
| sub(c629,name_1_1) ),
inference(component_clause,[status(thm)],[f21051]) ).
fof(f21053,plain,
( sQ3_spl
| ~ sub(c629,name_1_1) ),
inference(component_clause,[status(thm)],[f21051]) ).
fof(f21054,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21047,f21048,f21051,f21040]) ).
fof(f21055,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20829,f21053]) ).
fof(f21056,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f21055]) ).
fof(f21057,plain,
( ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20827,f21049]) ).
fof(f21058,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f21057]) ).
fof(f21060,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,f21044]) ).
fof(f21061,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,c629) ),
inference(resolution,[status(thm)],[f21060,f21052]) ).
fof(f21062,definition,
( sQ4_spl
<=> member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f21064,plain,
( sQ4_spl
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(component_clause,[status(thm)],[f21062]) ).
fof(f21065,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ4_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21061,f21048,f21062,f21043,f21051]) ).
fof(f21066,plain,
( sQ4_spl
| ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(resolution,[status(thm)],[f21064,f10194]) ).
fof(f21067,plain,
( sQ4_spl
| ~ member(name_1_1,cons(name_1_1,nil)) ),
inference(resolution,[status(thm)],[f21066,f10194]) ).
fof(f21068,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21067,f10191]) ).
fof(f21069,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f21068]) ).
fof(f21070,plain,
$false,
inference(sat_refutation,[status(thm)],[f21046,f21054,f21056,f21058,f21065,f21069]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR113+29 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.53 % Computer : n010.cluster.edu
% 0.10/0.53 % Model : x86_64 x86_64
% 0.10/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.53 % Memory : 8046.5625MB
% 0.10/0.53 % OS : Linux 6.8.0-71-generic
% 0.10/0.53 % CPULimit : 300
% 0.10/0.53 % WCLimit : 300
% 0.10/0.53 % DateTime : Mon Sep 21 15:03:55 UTC 2026
% 0.10/0.54 % CPUTime :
% 0.14/0.60 % Drodi V4.1.1
% 18.29/2.98 % Refutation found
% 18.29/2.98 % SZS status Theorem for theBenchmark: Theorem is valid
% 18.29/2.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.07/3.09 % Elapsed time: 2.544648 seconds
% 16.07/3.09 % CPU time: 19.091205 seconds
% 16.07/3.09 % Total memory used: 511.828 MB
% 16.07/3.09 % Net memory used: 499.333 MB
%------------------------------------------------------------------------------