%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR115+34 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 12:13:58 PM UTC 2026
% Result : Theorem 16.71s 2.63s
% Output : CNFRefutation 16.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 68 ( 15 unt; 8 def)
% Number of atoms : 371 ( 0 equ)
% Maximal formula atoms : 167 ( 5 avg)
% Number of connectives : 417 ( 114 ~; 96 |; 196 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 167 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 9 prp; 0-8 aty)
% Number of functors : 60 ( 60 usr; 58 con; 0-2 aty)
% Number of variables : 109 ( 92 !; 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(f20,axiom,
! [X0,X1] :
( card(X0,X1)
=> has_card_leq(X0,X1) ),
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(X5,X6)
& val(X1,bmw_0)
& sub(X5,jahr__1_1)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& obj(X3,X0)
& has_card_leq(X6,int1994)
& attr(X4,X5)
& attr(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( val(X5,X6)
& val(X1,bmw_0)
& sub(X5,jahr__1_1)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& obj(X3,X0)
& has_card_leq(X6,int1994)
& attr(X4,X5)
& attr(X2,X1) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( varia(schicht_1_1,varia_c)
& refer(schicht_1_1,refer_c)
& quant(schicht_1_1,one)
& gener(schicht_1_1,ge)
& fact(schicht_1_1,real)
& etype(schicht_1_1,int0)
& card(schicht_1_1,int1)
& sort(schicht_1_1,d)
& sort(besonder_1_1,tq)
& varia(c3626,varia_c)
& refer(c3626,refer_c)
& quant(c3626,quant_c)
& gener(c3626,gener_c)
& fact(c3626,real)
& etype(c3626,etype_c)
& card(c3626,card_c)
& sort(c3626,ent)
& varia(nachfrage__1_1,varia_c)
& refer(nachfrage__1_1,refer_c)
& quant(nachfrage__1_1,one)
& gener(nachfrage__1_1,ge)
& fact(nachfrage__1_1,real)
& etype(nachfrage__1_1,int0)
& card(nachfrage__1_1,int1)
& sort(nachfrage__1_1,ad)
& sort(zwei_1_1,nq)
& varia(c3536,con)
& refer(c3536,det)
& quant(c3536,one)
& gener(c3536,sp)
& fact(c3536,real)
& etype(c3536,int0)
& card(c3536,int1)
& sort(c3536,ad)
& card(c3529,int1994)
& sort(c3529,nu)
& varia(jahr__1_1,varia_c)
& refer(jahr__1_1,refer_c)
& quant(jahr__1_1,quant_c)
& gener(jahr__1_1,ge)
& fact(jahr__1_1,real)
& etype(jahr__1_1,etype_c)
& card(jahr__1_1,card_c)
& sort(jahr__1_1,ta)
& sort(jahr__1_1,oa)
& sort(jahr__1_1,me)
& varia(c3532,varia_c)
& refer(c3532,refer_c)
& quant(c3532,quant_c)
& gener(c3532,sp)
& fact(c3532,real)
& etype(c3532,etype_c)
& card(c3532,card_c)
& sort(c3532,ta)
& sort(c3532,oa)
& sort(c3532,me)
& varia(c3531,con)
& refer(c3531,det)
& quant(c3531,one)
& gener(c3531,sp)
& fact(c3531,real)
& etype(c3531,int0)
& card(c3531,int1)
& sort(c3531,t)
& sort(rover_0,fe)
& varia(c3528,varia_c)
& refer(c3528,indet)
& quant(c3528,one)
& gener(c3528,sp)
& fact(c3528,real)
& etype(c3528,int0)
& card(c3528,int1)
& sort(c3528,na)
& varia(c3527,con)
& refer(c3527,det)
& quant(c3527,one)
& gener(c3527,sp)
& fact(c3527,real)
& etype(c3527,int0)
& card(c3527,int1)
& sort(c3527,io)
& sort(c3527,d)
& 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(c3447,varia_c)
& refer(c3447,indet)
& quant(c3447,one)
& gener(c3447,sp)
& fact(c3447,real)
& etype(c3447,int0)
& card(c3447,int1)
& sort(c3447,na)
& varia(c3446,con)
& refer(c3446,det)
& quant(c3446,one)
& gener(c3446,sp)
& fact(c3446,real)
& etype(c3446,int0)
& card(c3446,int1)
& sort(c3446,io)
& sort(c3446,d)
& varia(sowohl_2_1,varia_c)
& refer(sowohl_2_1,refer_c)
& quant(sowohl_2_1,one)
& gener(sowohl_2_1,ge)
& fact(sowohl_2_1,real)
& etype(sowohl_2_1,int0)
& card(sowohl_2_1,int1)
& sort(sowohl_2_1,o)
& varia(c3346,varia_c)
& refer(c3346,refer_c)
& quant(c3346,one)
& gener(c3346,gener_c)
& fact(c3346,real)
& etype(c3346,int0)
& card(c3346,int1)
& sort(c3346,o)
& varia(sonderschicht_1_1,varia_c)
& refer(sonderschicht_1_1,refer_c)
& quant(sonderschicht_1_1,one)
& gener(sonderschicht_1_1,ge)
& fact(sonderschicht_1_1,real)
& etype(sonderschicht_1_1,int0)
& card(sonderschicht_1_1,int1)
& sort(sonderschicht_1_1,d)
& varia(c3345,varia_c)
& refer(c3345,indet)
& quant(c3345,mult)
& gener(c3345,gener_c)
& fact(c3345,real)
& etype(c3345,int1)
& card(c3345,cons(x_constant,cons(int1,nil)))
& sort(c3345,d)
& sub(sonderschicht_1_1,schicht_1_1)
& assoc(sonderschicht_1_1,besonder_1_1)
& tupl_p8(c3626,c3345,c3346,c3446,c3527,c3531,c3536,c3345)
& subs(c3536,nachfrage__1_1)
& prop(c3536,zwei_1_1)
& val(c3532,c3529)
& sub(c3532,jahr__1_1)
& attr(c3531,c3532)
& val(c3528,rover_0)
& sub(c3528,name_1_1)
& sub(c3527,firma_1_1)
& attr(c3527,c3528)
& val(c3447,bmw_0)
& sub(c3447,name_1_1)
& sub(c3446,firma_1_1)
& attr(c3446,c3447)
& sub(c3346,sowohl_2_1)
& pred(c3345,sonderschicht_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(f10224,plain,
! [X0,X1] :
( has_card_leq(X0,X1)
| ~ card(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f10225,plain,
! [X0,X1] :
( has_card_leq(X0,X1)
| ~ card(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10224]) ).
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(X5,X6)
| ~ val(X1,bmw_0)
| ~ sub(X5,jahr__1_1)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ obj(X3,X0)
| ~ has_card_leq(X6,int1994)
| ~ attr(X4,X5)
| ~ attr(X2,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X5,X6] :
( ~ val(X5,X6)
| ! [X1] :
( ~ val(X1,bmw_0)
| ~ sub(X5,jahr__1_1)
| ~ sub(X1,name_1_1)
| ! [X0] :
( ~ sub(X0,firma_1_1)
| ! [X3] : ~ obj(X3,X0)
| ~ has_card_leq(X6,int1994)
| ! [X4] : ~ attr(X4,X5)
| ! [X2] : ~ attr(X2,X1) ) ) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ val(X3,X4)
| ~ val(X1,bmw_0)
| ~ sub(X3,jahr__1_1)
| ~ sub(X1,name_1_1)
| ~ sub(X6,firma_1_1)
| ~ obj(X5,X6)
| ~ has_card_leq(X4,int1994)
| ~ attr(X2,X3)
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20820,plain,
attr(c3446,c3447),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20821,plain,
sub(c3446,firma_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20822,plain,
sub(c3447,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20823,plain,
val(c3447,bmw_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
attr(c3531,c3532),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
sub(c3532,jahr__1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20830,plain,
val(c3532,c3529),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20950,plain,
card(c3529,int1994),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21020,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ val(X1,bmw_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21021,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ val(X1,bmw_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21020]) ).
fof(f21023,definition,
! [X2,X3,X4] :
( sQ1_spl
<=> ( ~ val(X3,X4)
| ~ sub(X3,jahr__1_1)
| ~ has_card_leq(X4,int1994)
| ~ attr(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21024,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ val(X1,X2)
| ~ sub(X1,jahr__1_1)
| ~ has_card_leq(X2,int1994)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21023]) ).
fof(f21026,definition,
! [X5,X6] :
( sQ2_spl
<=> ( ~ sub(X6,firma_1_1)
| ~ obj(X5,X6) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21027,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sub(X1,firma_1_1)
| ~ obj(X0,X1) ),
inference(component_clause,[status(thm)],[f21026]) ).
fof(f21029,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21020,f21023,f21026]) ).
fof(f21030,plain,
! [X0] :
( ~ sQ2_spl
| ~ obj(X0,c3446) ),
inference(resolution,[status(thm)],[f20821,f21027]) ).
fof(f21033,plain,
! [X0,X1,X2] :
( ~ member(X2,cons(familiename_1_1,cons(name_1_1,nil)))
| obj(sK51_skl(X0),X0)
| ~ sub(X1,X2)
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f10702,f10194]) ).
fof(f21035,plain,
! [X0,X1,X2] :
( ~ member(X2,cons(name_1_1,nil))
| obj(sK51_skl(X0),X0)
| ~ sub(X1,X2)
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f21033,f10194]) ).
fof(f21038,plain,
! [X0,X1] :
( obj(sK51_skl(X0),X0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f21035,f10191]) ).
fof(f21040,plain,
( obj(sK51_skl(c3446),c3446)
| ~ sub(c3447,name_1_1) ),
inference(resolution,[status(thm)],[f21038,f20820]) ).
fof(f21048,definition,
( sQ5_spl
<=> sub(c3447,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21050,plain,
( sQ5_spl
| ~ sub(c3447,name_1_1) ),
inference(component_clause,[status(thm)],[f21048]) ).
fof(f21051,definition,
( sQ6_spl
<=> obj(sK51_skl(c3446),c3446) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f21052,plain,
( ~ sQ6_spl
| obj(sK51_skl(c3446),c3446) ),
inference(component_clause,[status(thm)],[f21051]) ).
fof(f21054,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f21040,f21048,f21051]) ).
fof(f21055,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21050,f20822]) ).
fof(f21056,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f21055]) ).
fof(f21057,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21052,f21030]) ).
fof(f21058,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f21057]) ).
fof(f21059,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c3447,name_1_1)
| ~ attr(X0,c3447) ),
inference(resolution,[status(thm)],[f21021,f20823]) ).
fof(f21060,definition,
! [X0] :
( sQ7_spl
<=> ~ attr(X0,c3447) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f21061,plain,
! [X0] :
( ~ sQ7_spl
| ~ attr(X0,c3447) ),
inference(component_clause,[status(thm)],[f21060]) ).
fof(f21063,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f21059,f21060,f21048,f21020]) ).
fof(f21064,plain,
( ~ sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20820,f21061]) ).
fof(f21065,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f21064]) ).
fof(f21066,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ card(X2,int1994)
| ~ val(X1,X2)
| ~ sub(X1,jahr__1_1)
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f21024,f10225]) ).
fof(f21067,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ val(X1,c3529)
| ~ sub(X1,jahr__1_1)
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f21066,f20950]) ).
fof(f21068,plain,
! [X0] :
( ~ sQ1_spl
| ~ sub(c3532,jahr__1_1)
| ~ attr(X0,c3532) ),
inference(resolution,[status(thm)],[f21067,f20830]) ).
fof(f21069,definition,
! [X0] :
( sQ8_spl
<=> ~ attr(X0,c3532) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f21070,plain,
! [X0] :
( ~ sQ8_spl
| ~ attr(X0,c3532) ),
inference(component_clause,[status(thm)],[f21069]) ).
fof(f21072,definition,
( sQ9_spl
<=> sub(c3532,jahr__1_1) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f21074,plain,
( sQ9_spl
| ~ sub(c3532,jahr__1_1) ),
inference(component_clause,[status(thm)],[f21072]) ).
fof(f21075,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f21068,f21069,f21072,f21023]) ).
fof(f21076,plain,
( ~ sQ8_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20828,f21070]) ).
fof(f21077,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f21076]) ).
fof(f21078,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21074,f20829]) ).
fof(f21079,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f21078]) ).
fof(f21080,plain,
$false,
inference(sat_refutation,[status(thm)],[f21029,f21054,f21056,f21058,f21063,f21065,f21075,f21077,f21079]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+34 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 15:07:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.23/0.49 % Drodi V4.1.1
% 16.71/2.63 % Refutation found
% 16.71/2.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.71/2.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.20/2.71 % Elapsed time: 2.340584 seconds
% 1.20/2.71 % CPU time: 17.090319 seconds
% 1.20/2.71 % Total memory used: 499.045 MB
% 1.20/2.71 % Net memory used: 489.859 MB
%------------------------------------------------------------------------------