%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR115+77 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 12:14:05 PM UTC 2026
% Result : Theorem 12.05s 1.93s
% Output : CNFRefutation 12.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 12 unt; 8 def)
% Number of atoms : 345 ( 0 equ)
% Maximal formula atoms : 154 ( 5 avg)
% Number of connectives : 400 ( 115 ~; 92 |; 183 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 154 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 9 prp; 0-6 aty)
% Number of functors : 49 ( 49 usr; 47 con; 0-2 aty)
% Number of variables : 98 ( 81 !; 17 ?)
% 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,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& sub(X2,name_1_1)
& sub(X0,firma_1_1)
& sub(X1,name_1_1)
& obj(X4,X0)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
file('/export/starexec/sandbox/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(X0,firma_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(schadstoff_1_1,varia_c)
& refer(schadstoff_1_1,refer_c)
& quant(schadstoff_1_1,one)
& gener(schadstoff_1_1,ge)
& fact(schadstoff_1_1,real)
& etype(schadstoff_1_1,int0)
& card(schadstoff_1_1,int1)
& sort(schadstoff_1_1,s)
& varia(luft__1_1,varia_c)
& refer(luft__1_1,refer_c)
& quant(luft__1_1,one)
& gener(luft__1_1,ge)
& fact(luft__1_1,real)
& etype(luft__1_1,int0)
& card(luft__1_1,int1)
& sort(luft__1_1,s)
& varia(c5051,varia_c)
& refer(c5051,refer_c)
& quant(c5051,quant_c)
& gener(c5051,gener_c)
& fact(c5051,real)
& etype(c5051,etype_c)
& card(c5051,card_c)
& sort(c5051,ent)
& varia(luftschadstoff_1_1,varia_c)
& refer(luftschadstoff_1_1,refer_c)
& quant(luftschadstoff_1_1,one)
& gener(luftschadstoff_1_1,ge)
& fact(luftschadstoff_1_1,real)
& etype(luftschadstoff_1_1,int0)
& card(luftschadstoff_1_1,int1)
& sort(luftschadstoff_1_1,o)
& varia(c4812,varia_c)
& refer(c4812,indet)
& quant(c4812,mult)
& gener(c4812,gener_c)
& fact(c4812,real)
& etype(c4812,int1)
& card(c4812,cons(x_constant,cons(int1,nil)))
& sort(c4812,o)
& varia(emission_1_1,varia_c)
& refer(emission_1_1,refer_c)
& quant(emission_1_1,one)
& gener(emission_1_1,ge)
& fact(emission_1_1,real)
& etype(emission_1_1,int0)
& card(emission_1_1,int1)
& sort(emission_1_1,ad)
& varia(c4809,con)
& refer(c4809,det)
& quant(c4809,mult)
& gener(c4809,sp)
& fact(c4809,real)
& etype(c4809,int1)
& card(c4809,cons(x_constant,cons(int1,nil)))
& sort(c4809,ad)
& varia(motor__1_1,varia_c)
& refer(motor__1_1,refer_c)
& quant(motor__1_1,one)
& gener(motor__1_1,ge)
& fact(motor__1_1,real)
& etype(motor__1_1,int0)
& card(motor__1_1,int1)
& sort(motor__1_1,d)
& varia(c4792,con)
& refer(c4792,det)
& quant(c4792,mult)
& gener(c4792,sp)
& fact(c4792,real)
& etype(c4792,int1)
& card(c4792,cons(x_constant,cons(int1,nil)))
& sort(c4792,d)
& varia(leistung_1_1,varia_c)
& refer(leistung_1_1,refer_c)
& quant(leistung_1_1,one)
& gener(leistung_1_1,ge)
& fact(leistung_1_1,real)
& etype(leistung_1_1,int0)
& card(leistung_1_1,int1)
& sort(leistung_1_1,io)
& sort(leistung_1_1,ad)
& varia(c4788,con)
& refer(c4788,det)
& quant(c4788,one)
& gener(c4788,sp)
& fact(c4788,real)
& etype(c4788,int0)
& card(c4788,int1)
& sort(c4788,io)
& sort(c4788,ad)
& sort(bmw_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(firma_1_1,varia_c)
& refer(firma_1_1,refer_c)
& quant(firma_1_1,one)
& gener(firma_1_1,ge)
& fact(firma_1_1,real)
& etype(firma_1_1,int0)
& card(firma_1_1,int1)
& sort(firma_1_1,io)
& sort(firma_1_1,d)
& varia(c4783,varia_c)
& refer(c4783,indet)
& quant(c4783,one)
& gener(c4783,sp)
& fact(c4783,real)
& etype(c4783,int0)
& card(c4783,int1)
& sort(c4783,na)
& varia(c4782,con)
& refer(c4782,det)
& quant(c4782,one)
& gener(c4782,sp)
& fact(c4782,real)
& etype(c4782,int0)
& card(c4782,int1)
& sort(c4782,io)
& sort(c4782,d)
& varia(computersystem_1_1,varia_c)
& refer(computersystem_1_1,refer_c)
& quant(computersystem_1_1,one)
& gener(computersystem_1_1,ge)
& fact(computersystem_1_1,real)
& etype(computersystem_1_1,int0)
& card(computersystem_1_1,int1)
& sort(computersystem_1_1,io)
& varia(c4679,varia_c)
& refer(c4679,det)
& quant(c4679,one)
& gener(c4679,sp)
& fact(c4679,real)
& etype(c4679,int0)
& card(c4679,int1)
& sort(c4679,io)
& sub(luftschadstoff_1_1,schadstoff_1_1)
& assoc(luftschadstoff_1_1,luft__1_1)
& tupl_p6(c5051,c4679,c4782,c4788,c4809,c4812)
& pred(c4812,luftschadstoff_1_1)
& preds(c4809,emission_1_1)
& pred(c4792,motor__1_1)
& attch(c4792,c4788)
& sub(c4788,leistung_1_1)
& val(c4783,bmw_0)
& sub(c4783,name_1_1)
& sub(c4782,firma_1_1)
& attr(c4782,c4783)
& sub(c4679,computersystem_1_1) ),
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(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(X0,firma_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)
| ! [X0] :
( ~ sub(X0,firma_1_1)
| ~ sub(X1,name_1_1)
| ! [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(X0,firma_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(f20819,plain,
attr(c4782,c4783),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20820,plain,
sub(c4782,firma_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20821,plain,
sub(c4783,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20822,plain,
val(c4783,bmw_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21007,definition,
! [X0,X1,X6] :
( sQ0_spl
<=> ( ~ val(X1,bmw_0)
| ~ sub(X0,firma_1_1)
| ~ sub(X1,name_1_1)
| ~ obj(X6,X0)
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21008,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ val(X1,bmw_0)
| ~ sub(X0,firma_1_1)
| ~ sub(X1,name_1_1)
| ~ obj(X2,X0)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21007]) ).
fof(f21010,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(f21011,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ val(X1,bmw_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21010]) ).
fof(f21013,definition,
! [X4,X5] :
( sQ2_spl
<=> ~ attr(X4,X5) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21014,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21013]) ).
fof(f21016,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21007,f21010,f21013]) ).
fof(f21017,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20819,f21014]) ).
fof(f21018,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f21017]) ).
fof(f21024,definition,
( sQ4_spl
<=> sub(c4783,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f21026,plain,
( sQ4_spl
| ~ sub(c4783,name_1_1) ),
inference(component_clause,[status(thm)],[f21024]) ).
fof(f21028,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21026,f20821]) ).
fof(f21029,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f21028]) ).
fof(f21030,plain,
! [X0] :
( ~ sQ1_spl
| ~ sub(c4783,name_1_1)
| ~ attr(X0,c4783) ),
inference(resolution,[status(thm)],[f21011,f20822]) ).
fof(f21031,definition,
! [X0] :
( sQ5_spl
<=> ~ attr(X0,c4783) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21032,plain,
! [X0] :
( ~ sQ5_spl
| ~ attr(X0,c4783) ),
inference(component_clause,[status(thm)],[f21031]) ).
fof(f21034,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f21030,f21031,f21024,f21010]) ).
fof(f21035,plain,
( ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20819,f21032]) ).
fof(f21036,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f21035]) ).
fof(f21037,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ sub(X0,firma_1_1)
| ~ sub(c4783,name_1_1)
| ~ obj(X1,X0)
| ~ attr(X0,c4783) ),
inference(resolution,[status(thm)],[f21008,f20822]) ).
fof(f21038,definition,
! [X0,X1] :
( sQ6_spl
<=> ( ~ sub(X0,firma_1_1)
| ~ obj(X1,X0)
| ~ attr(X0,c4783) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f21039,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ sub(X0,firma_1_1)
| ~ obj(X1,X0)
| ~ attr(X0,c4783) ),
inference(component_clause,[status(thm)],[f21038]) ).
fof(f21041,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f21037,f21038,f21024,f21007]) ).
fof(f21044,plain,
! [X0] :
( ~ sQ6_spl
| ~ sub(c4782,firma_1_1)
| ~ obj(X0,c4782) ),
inference(resolution,[status(thm)],[f21039,f20819]) ).
fof(f21045,definition,
! [X0] :
( sQ7_spl
<=> ~ obj(X0,c4782) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f21046,plain,
! [X0] :
( ~ sQ7_spl
| ~ obj(X0,c4782) ),
inference(component_clause,[status(thm)],[f21045]) ).
fof(f21048,definition,
( sQ8_spl
<=> sub(c4782,firma_1_1) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f21050,plain,
( sQ8_spl
| ~ sub(c4782,firma_1_1) ),
inference(component_clause,[status(thm)],[f21048]) ).
fof(f21051,plain,
( ~ sQ6_spl
| ~ sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f21044,f21045,f21048,f21038]) ).
fof(f21052,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c4782,X0) ),
inference(resolution,[status(thm)],[f21046,f10702]) ).
fof(f21053,plain,
! [X0] :
( ~ sQ7_spl
| ~ sub(c4783,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21052,f20819]) ).
fof(f21054,plain,
( ~ sQ7_spl
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21053,f20821]) ).
fof(f21061,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21050,f20820]) ).
fof(f21062,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f21061]) ).
fof(f21064,plain,
( ~ sQ7_spl
| ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(resolution,[status(thm)],[f21054,f10194]) ).
fof(f21065,plain,
( ~ sQ7_spl
| ~ member(name_1_1,cons(name_1_1,nil)) ),
inference(resolution,[status(thm)],[f21064,f10194]) ).
fof(f21066,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21065,f10191]) ).
fof(f21067,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f21066]) ).
fof(f21068,plain,
$false,
inference(sat_refutation,[status(thm)],[f21016,f21018,f21029,f21034,f21036,f21041,f21051,f21062,f21067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR115+77 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 15:07:21 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 12.05/1.93 % Refutation found
% 12.05/1.93 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.05/1.93 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 12.05/2.00 % Elapsed time: 1.691029 seconds
% 12.05/2.00 % CPU time: 12.596143 seconds
% 12.05/2.00 % Total memory used: 511.605 MB
% 12.05/2.00 % Net memory used: 500.456 MB
%------------------------------------------------------------------------------