%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR113+12 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 15.80s 2.54s
% Output : CNFRefutation 15.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 9 unt; 5 def)
% Number of atoms : 270 ( 0 equ)
% Maximal formula atoms : 145 ( 5 avg)
% Number of connectives : 288 ( 64 ~; 53 |; 164 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 145 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 6 prp; 0-7 aty)
% Number of functors : 48 ( 48 usr; 46 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(c32097,varia_c)
& refer(c32097,det)
& quant(c32097,one)
& gener(c32097,sp)
& fact(c32097,real)
& etype(c32097,int0)
& card(c32097,int1)
& sort(c32097,o)
& varia(c32248,varia_c)
& refer(c32248,refer_c)
& quant(c32248,quant_c)
& gener(c32248,gener_c)
& fact(c32248,real)
& etype(c32248,etype_c)
& card(c32248,card_c)
& sort(c32248,ent)
& varia(parade__1_1,varia_c)
& refer(parade__1_1,refer_c)
& quant(parade__1_1,one)
& gener(parade__1_1,ge)
& fact(parade__1_1,real)
& etype(parade__1_1,int0)
& card(parade__1_1,int1)
& sort(parade__1_1,ad)
& varia(c32157,varia_c)
& refer(c32157,refer_c)
& quant(c32157,one)
& gener(c32157,gener_c)
& fact(c32157,real)
& etype(c32157,int0)
& card(c32157,int1)
& sort(c32157,ad)
& varia(empfang_1_1,varia_c)
& refer(empfang_1_1,refer_c)
& quant(empfang_1_1,one)
& gener(empfang_1_1,ge)
& fact(empfang_1_1,real)
& etype(empfang_1_1,int0)
& card(empfang_1_1,int1)
& sort(empfang_1_1,ad)
& sort(n1a_1_1,nq)
& varia(c32152,varia_c)
& refer(c32152,indet)
& quant(c32152,one)
& gener(c32152,sp)
& fact(c32152,real)
& etype(c32152,int0)
& card(c32152,int1)
& sort(c32152,ad)
& varia(luftschiff_1_1,varia_c)
& refer(luftschiff_1_1,refer_c)
& quant(luftschiff_1_1,one)
& gener(luftschiff_1_1,ge)
& fact(luftschiff_1_1,real)
& etype(luftschiff_1_1,int0)
& card(luftschiff_1_1,int1)
& sort(luftschiff_1_1,d)
& varia(c32139,con)
& refer(c32139,det)
& quant(c32139,one)
& gener(c32139,sp)
& fact(c32139,real)
& etype(c32139,int0)
& card(c32139,int1)
& sort(c32139,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(c32114,con)
& refer(c32114,det)
& quant(c32114,one)
& gener(c32114,sp)
& fact(c32114,real)
& etype(c32114,int0)
& card(c32114,int1)
& sort(c32114,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(c32105,varia_c)
& refer(c32105,indet)
& quant(c32105,one)
& gener(c32105,sp)
& fact(c32105,real)
& etype(c32105,int0)
& card(c32105,int1)
& sort(c32105,na)
& varia(c32104,con)
& refer(c32104,det)
& quant(c32104,one)
& gener(c32104,sp)
& fact(c32104,real)
& etype(c32104,int0)
& card(c32104,int1)
& sort(c32104,io)
& sort(c32104,d)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& tupl_p7(c32248,c32097,c32104,c32114,c32139,c32152,c32157)
& subs(c32157,parade__1_1)
& subs(c32152,empfang_1_1)
& prop(c32152,n1a_1_1)
& sub(c32139,luftschiff_1_1)
& sub(c32114,freiheitsstatue_1_1)
& val(c32105,new_york_0)
& sub(c32105,name_1_1)
& sub(c32104,stadt__1_1)
& attr(c32104,c32105) ),
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(f20818,plain,
attr(c32104,c32105),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20820,plain,
sub(c32105,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20821,plain,
val(c32105,new_york_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20998,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(f20999,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ val(X1,new_york_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f20998]) ).
fof(f21001,definition,
! [X2,X3] :
( sQ1_spl
<=> ~ scar(X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21002,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ scar(X0,X1) ),
inference(component_clause,[status(thm)],[f21001]) ).
fof(f21004,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f20998,f21001]) ).
fof(f21005,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c32105,name_1_1)
| ~ attr(X0,c32105) ),
inference(resolution,[status(thm)],[f20821,f20999]) ).
fof(f21006,definition,
! [X0] :
( sQ2_spl
<=> ~ attr(X0,c32105) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21007,plain,
! [X0] :
( ~ sQ2_spl
| ~ attr(X0,c32105) ),
inference(component_clause,[status(thm)],[f21006]) ).
fof(f21009,definition,
( sQ3_spl
<=> sub(c32105,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21010,plain,
( ~ sQ3_spl
| sub(c32105,name_1_1) ),
inference(component_clause,[status(thm)],[f21009]) ).
fof(f21011,plain,
( sQ3_spl
| ~ sub(c32105,name_1_1) ),
inference(component_clause,[status(thm)],[f21009]) ).
fof(f21012,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21005,f21006,f21009,f20998]) ).
fof(f21013,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20820,f21011]) ).
fof(f21014,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f21013]) ).
fof(f21015,plain,
( ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20818,f21007]) ).
fof(f21016,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f21015]) ).
fof(f21018,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,f21002]) ).
fof(f21019,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,c32105) ),
inference(resolution,[status(thm)],[f21018,f21010]) ).
fof(f21020,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(f21022,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)],[f21020]) ).
fof(f21023,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ4_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21019,f21006,f21020,f21001,f21009]) ).
fof(f21024,plain,
( sQ4_spl
| ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(resolution,[status(thm)],[f21022,f10194]) ).
fof(f21025,plain,
( sQ4_spl
| ~ member(name_1_1,cons(name_1_1,nil)) ),
inference(resolution,[status(thm)],[f21024,f10194]) ).
fof(f21026,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21025,f10191]) ).
fof(f21027,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f21026]) ).
fof(f21028,plain,
$false,
inference(sat_refutation,[status(thm)],[f21004,f21012,f21014,f21016,f21023,f21027]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR113+12 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 15:05:51 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.21/0.50 % Drodi V4.1.1
% 15.80/2.54 % Refutation found
% 15.80/2.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 15.80/2.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.75/2.63 % Elapsed time: 2.243869 seconds
% 2.75/2.63 % CPU time: 16.288288 seconds
% 2.75/2.63 % Total memory used: 501.812 MB
% 2.75/2.63 % Net memory used: 492.506 MB
%------------------------------------------------------------------------------