%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR113+8 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 18.89s 3.23s
% Output : CNFRefutation 19.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 9 unt; 4 def)
% Number of atoms : 370 ( 0 equ)
% Maximal formula atoms : 254 ( 8 avg)
% Number of connectives : 391 ( 64 ~; 48 |; 273 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 254 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 5 prp; 0-9 aty)
% Number of functors : 69 ( 69 usr; 67 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(c92,varia_c)
& refer(c92,refer_c)
& quant(c92,quant_c)
& gener(c92,gener_c)
& fact(c92,real)
& etype(c92,etype_c)
& card(c92,card_c)
& sort(c92,ent)
& varia(c78559,varia_c)
& refer(c78559,det)
& quant(c78559,one)
& gener(c78559,sp)
& fact(c78559,real)
& etype(c78559,int0)
& card(c78559,int1)
& sort(c78559,d)
& varia(c79332,varia_c)
& refer(c79332,refer_c)
& quant(c79332,quant_c)
& gener(c79332,gener_c)
& fact(c79332,real)
& etype(c79332,etype_c)
& card(c79332,card_c)
& sort(c79332,ent)
& sort(new_york_0,fe)
& varia(c78631,varia_c)
& refer(c78631,indet)
& quant(c78631,one)
& gener(c78631,sp)
& fact(c78631,real)
& etype(c78631,int0)
& card(c78631,int1)
& sort(c78631,na)
& varia(c78630,con)
& refer(c78630,det)
& quant(c78630,one)
& gener(c78630,sp)
& fact(c78630,real)
& etype(c78630,int0)
& card(c78630,int1)
& sort(c78630,io)
& sort(c78630,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(c78624,con)
& refer(c78624,det)
& quant(c78624,one)
& gener(c78624,sp)
& fact(c78624,real)
& etype(c78624,int0)
& card(c78624,int1)
& sort(c78624,d)
& varia(wort_2_1,varia_c)
& refer(wort_2_1,refer_c)
& quant(wort_2_1,one)
& gener(wort_2_1,ge)
& fact(wort_2_1,real)
& etype(wort_2_1,int0)
& card(wort_2_1,int1)
& sort(wort_2_1,io)
& sort(wort_2_1,d)
& varia(c78615,varia_c)
& refer(c78615,indet)
& quant(c78615,mult)
& gener(c78615,gener_c)
& fact(c78615,real)
& etype(c78615,int1)
& card(c78615,cons(x_constant,cons(int1,nil)))
& sort(c78615,io)
& sort(c78615,d)
& sort(ber__374hmt_1_1,nq)
& varia(c78613,con)
& refer(c78613,det)
& quant(c78613,mult)
& gener(c78613,sp)
& fact(c78613,real)
& etype(c78613,int1)
& card(c78613,cons(x_constant,cons(int1,nil)))
& sort(c78613,o)
& 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(c78588,con)
& refer(c78588,det)
& quant(c78588,one)
& gener(c78588,sp)
& fact(c78588,real)
& etype(c78588,int0)
& card(c78588,int1)
& sort(c78588,io)
& sort(c78588,as)
& varia(sich_1_1,varia_c)
& refer(sich_1_1,refer_c)
& quant(sich_1_1,one)
& gener(sich_1_1,gener_c)
& fact(sich_1_1,real)
& etype(sich_1_1,int0)
& card(sich_1_1,int1)
& sort(sich_1_1,o)
& varia(c78582,varia_c)
& refer(c78582,refer_c)
& quant(c78582,one)
& gener(c78582,gener_c)
& fact(c78582,real)
& etype(c78582,int0)
& card(c78582,int1)
& sort(c78582,o)
& varia(masse_1_1,varia_c)
& refer(masse_1_1,refer_c)
& quant(masse_1_1,quant_c)
& gener(masse_1_1,ge)
& fact(masse_1_1,real)
& etype(masse_1_1,int1)
& card(masse_1_1,card_c)
& sort(masse_1_1,io)
& varia(c78576,varia_c)
& refer(c78576,indet)
& quant(c78576,mult)
& gener(c78576,gener_c)
& fact(c78576,real)
& etype(c78576,int2)
& card(c78576,cons(x_constant,cons(int1,nil)))
& sort(c78576,io)
& card(c24,int3)
& sort(c24,nu)
& varia(monat_1_1,varia_c)
& refer(monat_1_1,refer_c)
& quant(monat_1_1,quant_c)
& gener(monat_1_1,ge)
& fact(monat_1_1,real)
& etype(monat_1_1,etype_c)
& card(monat_1_1,card_c)
& sort(monat_1_1,ta)
& sort(monat_1_1,oa)
& sort(monat_1_1,me)
& card(c23,int2)
& sort(c23,nu)
& varia(tag_1_1,varia_c)
& refer(tag_1_1,refer_c)
& quant(tag_1_1,quant_c)
& gener(tag_1_1,ge)
& fact(tag_1_1,real)
& etype(tag_1_1,etype_c)
& card(tag_1_1,card_c)
& sort(tag_1_1,ta)
& sort(tag_1_1,oa)
& sort(tag_1_1,me)
& varia(c27,varia_c)
& refer(c27,refer_c)
& quant(c27,quant_c)
& gener(c27,sp)
& fact(c27,real)
& etype(c27,etype_c)
& card(c27,card_c)
& sort(c27,ta)
& sort(c27,oa)
& sort(c27,me)
& varia(c26,varia_c)
& refer(c26,refer_c)
& quant(c26,quant_c)
& gener(c26,sp)
& fact(c26,real)
& etype(c26,etype_c)
& card(c26,card_c)
& sort(c26,ta)
& sort(c26,oa)
& sort(c26,me)
& varia(c25,con)
& refer(c25,det)
& quant(c25,one)
& gener(c25,sp)
& fact(c25,real)
& etype(c25,int0)
& card(c25,int1)
& sort(c25,t)
& sort(washington_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(c19,varia_c)
& refer(c19,indet)
& quant(c19,one)
& gener(c19,sp)
& fact(c19,real)
& etype(c19,int0)
& card(c19,int1)
& sort(c19,na)
& varia(c18,con)
& refer(c18,det)
& quant(c18,one)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,int0)
& card(c18,int1)
& sort(c18,io)
& sort(c18,d)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& tupl(c92,c18,c25)
& tupl_p9(c79332,c78559,c78576,c78582,c78588,c78613,c78615,c78624,c78630)
& val(c78631,new_york_0)
& sub(c78631,name_1_1)
& sub(c78630,stadt__1_1)
& attr(c78630,c78631)
& sub(c78624,freiheitsstatue_1_1)
& pred(c78615,wort_2_1)
& prop(c78613,ber__374hmt_1_1)
& sub(c78588,freiheit_1_1)
& sub(c78582,sich_1_1)
& pred(c78576,masse_1_1)
& val(c27,c24)
& sub(c27,monat_1_1)
& val(c26,c23)
& sub(c26,tag_1_1)
& attr(c25,c27)
& attr(c25,c26)
& val(c19,washington_0)
& sub(c19,name_1_1)
& sub(c18,stadt__1_1)
& attr(c18,c19) ),
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(f20834,plain,
attr(c78630,c78631),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20836,plain,
sub(c78631,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20837,plain,
val(c78631,new_york_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21107,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(f21108,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ val(X1,new_york_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21107]) ).
fof(f21110,definition,
! [X2,X3] :
( sQ1_spl
<=> ~ scar(X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21111,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ scar(X0,X1) ),
inference(component_clause,[status(thm)],[f21110]) ).
fof(f21113,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21107,f21110]) ).
fof(f21126,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,f21111]) ).
fof(f21127,plain,
! [X0] :
( ~ sQ1_spl
| ~ sub(c78631,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21126,f20834]) ).
fof(f21128,plain,
( ~ sQ1_spl
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21127,f20836]) ).
fof(f21129,plain,
( ~ sQ1_spl
| ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(resolution,[status(thm)],[f21128,f10194]) ).
fof(f21130,plain,
( ~ sQ1_spl
| ~ member(name_1_1,cons(name_1_1,nil)) ),
inference(resolution,[status(thm)],[f21129,f10194]) ).
fof(f21131,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21130,f10191]) ).
fof(f21132,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f21131]) ).
fof(f21133,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c78631,name_1_1)
| ~ attr(X0,c78631) ),
inference(resolution,[status(thm)],[f21108,f20837]) ).
fof(f21134,definition,
! [X0] :
( sQ4_spl
<=> ~ attr(X0,c78631) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f21135,plain,
! [X0] :
( ~ sQ4_spl
| ~ attr(X0,c78631) ),
inference(component_clause,[status(thm)],[f21134]) ).
fof(f21137,definition,
( sQ5_spl
<=> sub(c78631,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21139,plain,
( sQ5_spl
| ~ sub(c78631,name_1_1) ),
inference(component_clause,[status(thm)],[f21137]) ).
fof(f21140,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21133,f21134,f21137,f21107]) ).
fof(f21141,plain,
( ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20834,f21135]) ).
fof(f21142,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f21141]) ).
fof(f21143,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21139,f20836]) ).
fof(f21144,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f21143]) ).
fof(f21145,plain,
$false,
inference(sat_refutation,[status(thm)],[f21113,f21132,f21140,f21142,f21144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR113+8 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 % Computer : n001.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Mon Sep 21 15:10:00 UTC 2026
% 0.18/0.47 % CPUTime :
% 0.36/0.74 % Drodi V4.1.1
% 18.89/3.23 % Refutation found
% 18.89/3.23 % SZS status Theorem for theBenchmark: Theorem is valid
% 18.89/3.23 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.08/3.39 % Elapsed time: 2.898207 seconds
% 9.08/3.39 % CPU time: 19.966905 seconds
% 9.08/3.39 % Total memory used: 488.379 MB
% 9.08/3.39 % Net memory used: 484.560 MB
%------------------------------------------------------------------------------