%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR113+11 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 19.39s 8.22s
% Output : CNFRefutation 19.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 8 unt; 4 def)
% Number of atoms : 290 ( 0 equ)
% Maximal formula atoms : 172 ( 6 avg)
% Number of connectives : 315 ( 67 ~; 51 |; 191 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 172 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 5 prp; 0-6 aty)
% Number of functors : 49 ( 49 usr; 47 con; 0-2 aty)
% Number of variables : 73 ( 62 !; 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,new_york_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,new_york_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)
& sort(new_york_0,fe)
& 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(c95,varia_c)
& refer(c95,indet)
& quant(c95,one)
& gener(c95,sp)
& fact(c95,real)
& etype(c95,int0)
& card(c95,int1)
& sort(c95,na)
& varia(bootshafen_1_1,varia_c)
& refer(bootshafen_1_1,refer_c)
& quant(bootshafen_1_1,one)
& gener(bootshafen_1_1,ge)
& fact(bootshafen_1_1,real)
& etype(bootshafen_1_1,int0)
& card(bootshafen_1_1,int1)
& sort(bootshafen_1_1,d)
& sort(usa_0,fe)
& varia(c65,varia_c)
& refer(c65,indet)
& quant(c65,one)
& gener(c65,sp)
& fact(c65,real)
& etype(c65,int0)
& card(c65,int1)
& sort(c65,na)
& sort(frankreich_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(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(c58,varia_c)
& refer(c58,indet)
& quant(c58,one)
& gener(c58,sp)
& fact(c58,real)
& etype(c58,int0)
& card(c58,int1)
& sort(c58,na)
& varia(c57,con)
& refer(c57,det)
& quant(c57,one)
& gener(c57,sp)
& fact(c57,real)
& etype(c57,int0)
& card(c57,int1)
& sort(c57,io)
& sort(c57,d)
& varia(geschenk__1_1,varia_c)
& refer(geschenk__1_1,refer_c)
& quant(geschenk__1_1,quant_c)
& gener(geschenk__1_1,ge)
& fact(geschenk__1_1,real)
& etype(geschenk__1_1,etype_c)
& card(geschenk__1_1,card_c)
& sort(geschenk__1_1,co)
& 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(c94,con)
& refer(c94,det)
& quant(c94,one)
& gener(c94,sp)
& fact(c94,real)
& etype(c94,int0)
& card(c94,int1)
& sort(c94,io)
& sort(c94,d)
& varia(c87,con)
& refer(c87,det)
& quant(c87,one)
& gener(c87,sp)
& fact(c87,real)
& etype(c87,int0)
& card(c87,int1)
& sort(c87,d)
& varia(c64,con)
& refer(c64,det)
& quant(c64,one)
& gener(c64,sp)
& fact(c64,real)
& etype(c64,int0)
& card(c64,int1)
& sort(c64,io)
& sort(c64,d)
& varia(c51,varia_c)
& refer(c51,indet)
& quant(c51,quant_c)
& gener(c51,sp)
& fact(c51,real)
& etype(c51,etype_c)
& card(c51,card_c)
& sort(c51,co)
& varia(c46,con)
& refer(c46,det)
& quant(c46,one)
& gener(c46,sp)
& fact(c46,real)
& etype(c46,int0)
& card(c46,int1)
& sort(c46,d)
& varia(c145,varia_c)
& refer(c145,refer_c)
& quant(c145,quant_c)
& gener(c145,gener_c)
& fact(c145,real)
& etype(c145,etype_c)
& card(c145,card_c)
& sort(c145,ent)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& val(c95,new_york_0)
& sub(c95,name_1_1)
& sub(c94,stadt__1_1)
& attr(c94,c95)
& sub(c87,bootshafen_1_1)
& val(c65,usa_0)
& sub(c65,name_1_1)
& sub(c64,land_1_1)
& attr(c64,c65)
& val(c58,frankreich_0)
& sub(c58,name_1_1)
& sub(c57,land_1_1)
& attr(c57,c58)
& attch(c57,c51)
& sub(c51,geschenk__1_1)
& sub(c46,freiheitsstatue_1_1)
& tupl_p6(c145,c46,c51,c64,c87,c94) ),
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,new_york_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,new_york_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,new_york_0)
| ~ sub(X1,name_1_1)
| ~ scar(X2,X3)
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20831,plain,
attr(c94,c95),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20833,plain,
sub(c95,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20834,plain,
val(c95,new_york_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21025,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ val(X1,new_york_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21026,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ val(X1,new_york_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21025]) ).
fof(f21028,definition,
! [X2,X3] :
( sQ1_spl
<=> ~ scar(X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21029,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ scar(X0,X1) ),
inference(component_clause,[status(thm)],[f21028]) ).
fof(f21031,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21025,f21028]) ).
fof(f21032,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c95,name_1_1)
| ~ attr(X0,c95) ),
inference(resolution,[status(thm)],[f20834,f21026]) ).
fof(f21033,definition,
! [X0] :
( sQ2_spl
<=> ~ attr(X0,c95) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21034,plain,
! [X0] :
( ~ sQ2_spl
| ~ attr(X0,c95) ),
inference(component_clause,[status(thm)],[f21033]) ).
fof(f21036,definition,
( sQ3_spl
<=> sub(c95,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21038,plain,
( sQ3_spl
| ~ sub(c95,name_1_1) ),
inference(component_clause,[status(thm)],[f21036]) ).
fof(f21039,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21032,f21033,f21036,f21025]) ).
fof(f21042,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(backward_subsumption_resolution,[status(thm)],[f10703,f21029]) ).
fof(f21051,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21038,f20833]) ).
fof(f21052,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f21051]) ).
fof(f21064,plain,
( ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20831,f21034]) ).
fof(f21066,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f21064]) ).
fof(f21084,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sub(X2,X0)
| ~ attr(X1,X2)
| ~ member(X0,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(resolution,[status(thm)],[f10194,f21042]) ).
fof(f21085,plain,
! [X0] :
( ~ sQ1_spl
| ~ sub(c95,X0)
| ~ member(X0,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(resolution,[status(thm)],[f21084,f20831]) ).
fof(f21086,plain,
! [X0] :
( ~ sQ1_spl
| ~ member(X0,cons(name_1_1,nil))
| ~ sub(c95,X0) ),
inference(resolution,[status(thm)],[f21085,f10194]) ).
fof(f21089,plain,
( ~ sQ1_spl
| ~ sub(c95,name_1_1) ),
inference(resolution,[status(thm)],[f21086,f10191]) ).
fof(f21090,plain,
( ~ sQ1_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f21089,f21036,f21028]) ).
fof(f21091,plain,
$false,
inference(sat_refutation,[status(thm)],[f21031,f21039,f21052,f21066,f21090]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR113+11 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n002.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Mon Sep 21 15:05:23 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.21/5.66 % Drodi V4.1.1
% 19.39/8.22 % Refutation found
% 19.39/8.22 % SZS status Theorem for theBenchmark: Theorem is valid
% 19.39/8.22 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.83/8.38 % Elapsed time: 2.916699 seconds
% 10.83/8.38 % CPU time: 20.490998 seconds
% 10.83/8.38 % Total memory used: 482.808 MB
% 10.83/8.38 % Net memory used: 479.480 MB
%------------------------------------------------------------------------------