%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR115+43 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 12:14:00 PM UTC 2026
% Result : Theorem 29.97s 4.41s
% Output : CNFRefutation 30.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 55 ( 10 unt; 7 def)
% Number of atoms : 383 ( 0 equ)
% Maximal formula atoms : 199 ( 6 avg)
% Number of connectives : 442 ( 114 ~; 93 |; 226 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 199 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 8 prp; 0-3 aty)
% Number of functors : 60 ( 60 usr; 58 con; 0-2 aty)
% Number of variables : 104 ( 87 !; 17 ?)
% 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,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& sub(X2,name_1_1)
& sub(X1,name_1_1)
& obj(X4,X0)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& sub(X2,name_1_1)
& sub(X1,name_1_1)
& obj(X4,X0)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( varia(c523,varia_c)
& refer(c523,refer_c)
& quant(c523,quant_c)
& gener(c523,gener_c)
& fact(c523,real)
& etype(c523,etype_c)
& card(c523,card_c)
& sort(c523,ent)
& sort(rover_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(gruppe_1_1,varia_c)
& refer(gruppe_1_1,refer_c)
& quant(gruppe_1_1,quant_c)
& gener(gruppe_1_1,ge)
& fact(gruppe_1_1,real)
& etype(gruppe_1_1,int1)
& card(gruppe_1_1,card_c)
& sort(gruppe_1_1,d)
& sort(britisch__1_1,nq)
& varia(c389,varia_c)
& refer(c389,det)
& quant(c389,one)
& gener(c389,sp)
& fact(c389,real)
& etype(c389,int0)
& card(c389,int1)
& sort(c389,na)
& varia(c388,varia_c)
& refer(c388,det)
& quant(c388,one)
& gener(c388,sp)
& fact(c388,real)
& etype(c388,int1)
& card(c388,int1)
& sort(c388,d)
& varia(c38,varia_c)
& refer(c38,refer_c)
& quant(c38,quant_c)
& gener(c38,gener_c)
& fact(c38,real)
& etype(c38,etype_c)
& card(c38,card_c)
& sort(c38,ent)
& sort(bmw_0,fe)
& sort(bundesdeutsch_1_1,tq)
& varia(c374,varia_c)
& refer(c374,indet)
& quant(c374,one)
& gener(c374,sp)
& fact(c374,real)
& etype(c374,int0)
& card(c374,int1)
& sort(c374,na)
& varia(c373,con)
& refer(c373,det)
& quant(c373,one)
& gener(c373,sp)
& fact(c373,real)
& etype(c373,int0)
& card(c373,int1)
& sort(c373,io)
& sort(c373,d)
& card(c23,int1)
& sort(c23,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(c22,int31)
& sort(c22,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(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,varia_c)
& refer(c25,refer_c)
& quant(c25,quant_c)
& gener(c25,sp)
& fact(c25,real)
& etype(c25,etype_c)
& card(c25,card_c)
& sort(c25,ta)
& sort(c25,oa)
& sort(c25,me)
& varia(c24,con)
& refer(c24,det)
& quant(c24,one)
& gener(c24,sp)
& fact(c24,real)
& etype(c24,int0)
& card(c24,int1)
& sort(c24,t)
& sort(london_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)
& varia(firmengruppe_1_1,varia_c)
& refer(firmengruppe_1_1,refer_c)
& quant(firmengruppe_1_1,one)
& gener(firmengruppe_1_1,ge)
& fact(firmengruppe_1_1,real)
& etype(firmengruppe_1_1,int0)
& card(firmengruppe_1_1,int1)
& sort(firmengruppe_1_1,io)
& sort(firmengruppe_1_1,d)
& sort(automobil_1_1,tq)
& varia(autokonzern_1_1,varia_c)
& refer(autokonzern_1_1,refer_c)
& quant(autokonzern_1_1,one)
& gener(autokonzern_1_1,ge)
& fact(autokonzern_1_1,real)
& etype(autokonzern_1_1,int0)
& card(autokonzern_1_1,int1)
& sort(autokonzern_1_1,io)
& sort(autokonzern_1_1,d)
& tupl(c523,c373,c388)
& val(c389,rover_0)
& sub(c389,familiename_1_1)
& sub(c388,gruppe_1_1)
& prop(c388,britisch__1_1)
& attr(c388,c389)
& tupl(c38,c18,c24)
& val(c374,bmw_0)
& sub(c374,name_1_1)
& sub(c373,autokonzern_1_1)
& prop(c373,bundesdeutsch_1_1)
& attr(c373,c374)
& val(c26,c23)
& sub(c26,monat_1_1)
& val(c25,c22)
& sub(c25,tag_1_1)
& attr(c24,c26)
& attr(c24,c25)
& val(c19,london_0)
& sub(c19,name_1_1)
& sub(c18,stadt__1_1)
& attr(c18,c19)
& sub(autokonzern_1_1,firmengruppe_1_1)
& assoc(autokonzern_1_1,automobil_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(f10702,plain,
! [X0,X1,X2] :
( obj(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,X4,X5,X6] :
( ~ val(X2,bmw_0)
| ~ val(X1,bmw_0)
| ~ sub(X2,name_1_1)
| ~ sub(X1,name_1_1)
| ~ obj(X4,X0)
| ~ attr(X5,X6)
| ~ attr(X3,X2)
| ~ attr(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X2] :
( ~ val(X2,bmw_0)
| ! [X1] :
( ~ val(X1,bmw_0)
| ~ sub(X2,name_1_1)
| ~ sub(X1,name_1_1)
| ! [X0] :
( ! [X4] : ~ obj(X4,X0)
| ! [X5,X6] : ~ attr(X5,X6)
| ! [X3] : ~ attr(X3,X2)
| ~ attr(X0,X1) ) ) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ val(X3,bmw_0)
| ~ val(X1,bmw_0)
| ~ sub(X3,name_1_1)
| ~ sub(X1,name_1_1)
| ~ obj(X6,X0)
| ~ attr(X4,X5)
| ~ attr(X2,X3)
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20830,plain,
attr(c373,c374),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20833,plain,
sub(c374,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20834,plain,
val(c374,bmw_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21052,definition,
! [X0,X1,X6] :
( sQ0_spl
<=> ( ~ val(X1,bmw_0)
| ~ sub(X1,name_1_1)
| ~ obj(X6,X0)
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21053,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ val(X1,bmw_0)
| ~ sub(X1,name_1_1)
| ~ obj(X2,X0)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21052]) ).
fof(f21055,definition,
! [X2,X3] :
( sQ1_spl
<=> ( ~ val(X3,bmw_0)
| ~ sub(X3,name_1_1)
| ~ attr(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21056,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ val(X1,bmw_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21055]) ).
fof(f21058,definition,
! [X4,X5] :
( sQ2_spl
<=> ~ attr(X4,X5) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21059,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21058]) ).
fof(f21061,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21052,f21055,f21058]) ).
fof(f21228,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20830,f21059]) ).
fof(f21229,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f21228]) ).
fof(f21264,definition,
( sQ26_spl
<=> sub(c374,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f21266,plain,
( sQ26_spl
| ~ sub(c374,name_1_1) ),
inference(component_clause,[status(thm)],[f21264]) ).
fof(f21397,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ val(X3,bmw_0)
| ~ sub(X3,name_1_1)
| ~ attr(X0,X3)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f10702,f21053]) ).
fof(f21491,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ sub(c374,name_1_1)
| ~ attr(X0,c374)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f21397,f20834]) ).
fof(f21492,definition,
! [X0,X1,X2] :
( sQ35_spl
<=> ( ~ attr(X0,c374)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f21493,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| ~ attr(X0,c374)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21492]) ).
fof(f21495,plain,
( ~ sQ0_spl
| ~ sQ26_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f21491,f21492,f21264,f21052]) ).
fof(f21496,plain,
! [X0] :
( ~ sQ1_spl
| ~ sub(c374,name_1_1)
| ~ attr(X0,c374) ),
inference(resolution,[status(thm)],[f21056,f20834]) ).
fof(f21497,definition,
! [X0] :
( sQ36_spl
<=> ~ attr(X0,c374) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f21498,plain,
! [X0] :
( ~ sQ36_spl
| ~ attr(X0,c374) ),
inference(component_clause,[status(thm)],[f21497]) ).
fof(f21500,plain,
( ~ sQ1_spl
| ~ sQ26_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f21496,f21497,f21264,f21055]) ).
fof(f21501,plain,
( ~ sQ36_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20830,f21498]) ).
fof(f21502,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f21501]) ).
fof(f21503,plain,
( sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21266,f20833]) ).
fof(f21504,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f21503]) ).
fof(f21519,plain,
! [X0,X1] :
( ~ sQ35_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c373,X0) ),
inference(resolution,[status(thm)],[f20830,f21493]) ).
fof(f21525,definition,
( sQ38_spl
<=> val(c374,bmw_0) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f21527,plain,
( sQ38_spl
| ~ val(c374,bmw_0) ),
inference(component_clause,[status(thm)],[f21525]) ).
fof(f21533,plain,
( sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21527,f20834]) ).
fof(f21534,plain,
sQ38_spl,
inference(contradiction_clause,[status(thm)],[f21533]) ).
fof(f21536,plain,
! [X0] :
( ~ sQ35_spl
| ~ sub(c374,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21519,f20830]) ).
fof(f21537,plain,
! [X0] :
( ~ sQ35_spl
| ~ member(X0,cons(familiename_1_1,cons(name_1_1,nil)))
| ~ sub(c374,X0) ),
inference(resolution,[status(thm)],[f21536,f10194]) ).
fof(f21539,plain,
! [X0] :
( ~ sQ35_spl
| ~ member(X0,cons(name_1_1,nil))
| ~ sub(c374,X0) ),
inference(resolution,[status(thm)],[f21537,f10194]) ).
fof(f21542,plain,
( ~ sQ35_spl
| ~ sub(c374,name_1_1) ),
inference(resolution,[status(thm)],[f21539,f10191]) ).
fof(f21543,plain,
( ~ sQ35_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f21542,f21264,f21492]) ).
fof(f21544,plain,
$false,
inference(sat_refutation,[status(thm)],[f21061,f21229,f21495,f21500,f21502,f21504,f21534,f21543]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+43 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 15:08:31 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.26/0.51 % Drodi V4.1.1
% 29.97/4.41 % Refutation found
% 29.97/4.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 29.97/4.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 30.84/4.50 % Elapsed time: 4.112335 seconds
% 30.84/4.50 % CPU time: 31.057821 seconds
% 30.84/4.50 % Total memory used: 529.484 MB
% 30.84/4.50 % Net memory used: 516.572 MB
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