%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR113+31 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 12:13:50 PM UTC 2026
% Result : Theorem 16.92s 2.64s
% Output : CNFRefutation 16.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 9 unt; 4 def)
% Number of atoms : 305 ( 0 equ)
% Maximal formula atoms : 189 ( 7 avg)
% Number of connectives : 326 ( 64 ~; 48 |; 208 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 189 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 5 prp; 0-3 aty)
% Number of functors : 53 ( 53 usr; 51 con; 0-2 aty)
% Number of variables : 69 ( 58 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X0,X2)
=> member(X0,cons(X1,X2)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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)
& varia(verfasserin_1_1,varia_c)
& refer(verfasserin_1_1,refer_c)
& quant(verfasserin_1_1,one)
& gener(verfasserin_1_1,ge)
& fact(verfasserin_1_1,real)
& etype(verfasserin_1_1,int0)
& card(verfasserin_1_1,int1)
& sort(verfasserin_1_1,d)
& varia(c87,varia_c)
& refer(c87,det)
& quant(c87,one)
& gener(c87,sp)
& fact(c87,real)
& etype(c87,int0)
& card(c87,int1)
& sort(c87,d)
& varia(c86,varia_c)
& refer(c86,det)
& quant(c86,one)
& gener(c86,sp)
& fact(c86,real)
& etype(c86,int0)
& card(c86,int1)
& sort(c86,o)
& 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(c85,varia_c)
& refer(c85,indet)
& quant(c85,one)
& gener(c85,sp)
& fact(c85,real)
& etype(c85,int0)
& card(c85,int1)
& sort(c85,na)
& varia(c84,con)
& refer(c84,det)
& quant(c84,one)
& gener(c84,sp)
& fact(c84,real)
& etype(c84,int0)
& card(c84,int1)
& sort(c84,io)
& sort(c84,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(c79,con)
& refer(c79,det)
& quant(c79,one)
& gener(c79,sp)
& fact(c79,real)
& etype(c79,int0)
& card(c79,int1)
& sort(c79,d)
& varia(strophe_1_1,varia_c)
& refer(strophe_1_1,refer_c)
& quant(strophe_1_1,one)
& gener(strophe_1_1,ge)
& fact(strophe_1_1,real)
& etype(strophe_1_1,int0)
& card(strophe_1_1,int1)
& sort(strophe_1_1,io)
& sort(strophe_1_1,d)
& varia(c97,con)
& refer(c97,det)
& quant(c97,nfquant)
& gener(c97,sp)
& fact(c97,hypo)
& etype(c97,int1)
& card(c97,int2)
& sort(c97,d)
& sort(jacob_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)
& 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(c71,varia_c)
& refer(c71,indet)
& quant(c71,one)
& gener(c71,sp)
& fact(c71,real)
& etype(c71,int0)
& card(c71,int1)
& sort(c71,na)
& gener(hinweisen_1_1,ge)
& fact(hinweisen_1_1,real)
& sort(hinweisen_1_1,da)
& varia(c70,con)
& refer(c70,det)
& quant(c70,one)
& gener(c70,sp)
& fact(c70,real)
& etype(c70,int0)
& card(c70,int1)
& sort(c70,d)
& varia(c74,con)
& refer(c74,det)
& quant(c74,mult)
& gener(c74,sp)
& fact(c74,hypo)
& etype(c74,int1)
& card(c74,cons(x_constant,cons(int1,nil)))
& sort(c74,io)
& sort(c74,d)
& sort(aufmerksam_1_1,nq)
& varia(c1,varia_c)
& refer(c1,det)
& quant(c1,one)
& gener(c1,sp)
& fact(c1,real)
& etype(c1,int0)
& card(c1,int1)
& sort(c1,o)
& gener(c4,sp)
& fact(c4,real)
& sort(c4,da)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& itms(c97,c79,c87)
& sub(c87,verfasserin_1_1)
& attch(c86,c87)
& val(c85,new_york_0)
& sub(c85,name_1_1)
& sub(c84,stadt__1_1)
& attr(c84,c85)
& attch(c84,c79)
& sub(c79,freiheitsstatue_1_1)
& pred(c74,strophe_1_1)
& mcont(c74,c97)
& val(c71,jacob_0)
& sub(c71,familiename_1_1)
& sub(c70,mensch_1_1)
& attr(c70,c71)
& subs(c4,hinweisen_1_1)
& ornt(c4,c70)
& obj(c4,c74)
& mcont(c4,c74)
& assoc(c4,aufmerksam_1_1)
& agt(c4,c1) ),
file('/export/starexec/sandbox/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(f20832,plain,
attr(c84,c85),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20834,plain,
sub(c85,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20835,plain,
val(c85,new_york_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21042,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(f21043,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ val(X1,new_york_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21042]) ).
fof(f21045,definition,
! [X2,X3] :
( sQ1_spl
<=> ~ scar(X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21046,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ scar(X0,X1) ),
inference(component_clause,[status(thm)],[f21045]) ).
fof(f21048,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21042,f21045]) ).
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,f21046]) ).
fof(f21061,plain,
! [X0] :
( ~ sQ1_spl
| ~ sub(c85,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21060,f20832]) ).
fof(f21062,plain,
( ~ sQ1_spl
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21061,f20834]) ).
fof(f21063,plain,
( ~ sQ1_spl
| ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(resolution,[status(thm)],[f21062,f10194]) ).
fof(f21064,plain,
( ~ sQ1_spl
| ~ member(name_1_1,cons(name_1_1,nil)) ),
inference(resolution,[status(thm)],[f21063,f10194]) ).
fof(f21065,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21064,f10191]) ).
fof(f21066,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f21065]) ).
fof(f21067,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c85,name_1_1)
| ~ attr(X0,c85) ),
inference(resolution,[status(thm)],[f21043,f20835]) ).
fof(f21068,definition,
! [X0] :
( sQ4_spl
<=> ~ attr(X0,c85) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f21069,plain,
! [X0] :
( ~ sQ4_spl
| ~ attr(X0,c85) ),
inference(component_clause,[status(thm)],[f21068]) ).
fof(f21071,definition,
( sQ5_spl
<=> sub(c85,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21073,plain,
( sQ5_spl
| ~ sub(c85,name_1_1) ),
inference(component_clause,[status(thm)],[f21071]) ).
fof(f21074,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21067,f21068,f21071,f21042]) ).
fof(f21075,plain,
( ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20832,f21069]) ).
fof(f21076,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f21075]) ).
fof(f21077,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21073,f20834]) ).
fof(f21078,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f21077]) ).
fof(f21079,plain,
$false,
inference(sat_refutation,[status(thm)],[f21048,f21066,f21074,f21076,f21078]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR113+31 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.33 % Computer : n002.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8046.5625MB
% 0.09/0.33 % OS : Linux 6.8.0-71-generic
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Mon Sep 21 15:06:32 UTC 2026
% 0.09/0.33 % CPUTime :
% 0.25/0.47 % Drodi V4.1.1
% 16.92/2.64 % Refutation found
% 16.92/2.64 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.92/2.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.19/2.73 % Elapsed time: 2.385158 seconds
% 2.19/2.73 % CPU time: 17.371574 seconds
% 2.19/2.73 % Total memory used: 507.136 MB
% 2.19/2.73 % Net memory used: 496.048 MB
%------------------------------------------------------------------------------