%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR115+74 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:14:04 PM UTC 2026
% Result : Theorem 14.88s 2.62s
% Output : CNFRefutation 14.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 62 ( 11 unt; 9 def)
% Number of atoms : 308 ( 0 equ)
% Maximal formula atoms : 109 ( 4 avg)
% Number of connectives : 361 ( 115 ~; 97 |; 138 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 109 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 10 prp; 0-6 aty)
% Number of functors : 42 ( 42 usr; 40 con; 0-2 aty)
% Number of variables : 103 ( 86 !; 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(fahrzeug__1_1,varia_c)
& refer(fahrzeug__1_1,refer_c)
& quant(fahrzeug__1_1,one)
& gener(fahrzeug__1_1,ge)
& fact(fahrzeug__1_1,real)
& etype(fahrzeug__1_1,int0)
& card(fahrzeug__1_1,int1)
& sort(fahrzeug__1_1,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(c79,varia_c)
& refer(c79,indet)
& quant(c79,one)
& gener(c79,sp)
& fact(c79,real)
& etype(c79,int0)
& card(c79,int1)
& sort(c79,na)
& varia(umbau__1_1,varia_c)
& refer(umbau__1_1,refer_c)
& quant(umbau__1_1,one)
& gener(umbau__1_1,ge)
& fact(umbau__1_1,real)
& etype(umbau__1_1,int0)
& card(umbau__1_1,int1)
& sort(umbau__1_1,ad)
& 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(bekanntheit_1_1,varia_c)
& refer(bekanntheit_1_1,refer_c)
& quant(bekanntheit_1_1,one)
& gener(bekanntheit_1_1,ge)
& fact(bekanntheit_1_1,real)
& etype(bekanntheit_1_1,int0)
& card(bekanntheit_1_1,int1)
& sort(bekanntheit_1_1,na)
& varia(c80,varia_c)
& refer(c80,indet)
& quant(c80,mult)
& gener(c80,gener_c)
& fact(c80,real)
& etype(c80,int1)
& card(c80,cons(x_constant,cons(int1,nil)))
& sort(c80,d)
& varia(c78,con)
& refer(c78,det)
& quant(c78,one)
& gener(c78,sp)
& fact(c78,real)
& etype(c78,int0)
& card(c78,int1)
& sort(c78,io)
& sort(c78,d)
& varia(c66,varia_c)
& refer(c66,indet)
& quant(c66,mult)
& gener(c66,gener_c)
& fact(c66,real)
& etype(c66,int1)
& card(c66,cons(x_constant,cons(int1,nil)))
& sort(c66,ad)
& varia(c62,con)
& refer(c62,det)
& quant(c62,one)
& gener(c62,sp)
& fact(c62,real)
& etype(c62,int0)
& card(c62,int1)
& sort(c62,io)
& sort(c62,d)
& varia(c56,varia_c)
& refer(c56,refer_c)
& quant(c56,one)
& gener(c56,gener_c)
& fact(c56,real)
& etype(c56,int0)
& card(c56,int1)
& sort(c56,na)
& varia(c112,varia_c)
& refer(c112,refer_c)
& quant(c112,quant_c)
& gener(c112,gener_c)
& fact(c112,real)
& etype(c112,etype_c)
& card(c112,card_c)
& sort(c112,ent)
& pred(c80,fahrzeug__1_1)
& val(c79,bmw_0)
& sub(c79,name_1_1)
& sub(c78,firma_1_1)
& attr(c78,c79)
& preds(c66,umbau__1_1)
& sub(c62,firma_1_1)
& sub(c56,bekanntheit_1_1)
& tupl_p6(c112,c56,c62,c66,c78,c80) ),
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(f20822,plain,
attr(c78,c79),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20823,plain,
sub(c78,firma_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20824,plain,
sub(c79,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20825,plain,
val(c79,bmw_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20962,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(f20963,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)],[f20962]) ).
fof(f20965,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(f20966,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ val(X1,bmw_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f20965]) ).
fof(f20968,definition,
! [X4,X5] :
( sQ2_spl
<=> ~ attr(X4,X5) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f20969,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f20968]) ).
fof(f20971,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f20962,f20965,f20968]) ).
fof(f20974,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20822,f20969]) ).
fof(f20975,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f20974]) ).
fof(f20976,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ sub(X0,firma_1_1)
| ~ sub(c79,name_1_1)
| ~ obj(X1,X0)
| ~ attr(X0,c79) ),
inference(resolution,[status(thm)],[f20963,f20825]) ).
fof(f20977,definition,
! [X0,X1] :
( sQ3_spl
<=> ( ~ sub(X0,firma_1_1)
| ~ obj(X1,X0)
| ~ attr(X0,c79) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f20978,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ sub(X0,firma_1_1)
| ~ obj(X1,X0)
| ~ attr(X0,c79) ),
inference(component_clause,[status(thm)],[f20977]) ).
fof(f20980,definition,
( sQ4_spl
<=> sub(c79,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f20982,plain,
( sQ4_spl
| ~ sub(c79,name_1_1) ),
inference(component_clause,[status(thm)],[f20980]) ).
fof(f20983,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f20976,f20977,f20980,f20962]) ).
fof(f20984,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20982,f20824]) ).
fof(f20985,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f20984]) ).
fof(f20986,plain,
! [X0] :
( ~ sQ1_spl
| ~ sub(c79,name_1_1)
| ~ attr(X0,c79) ),
inference(resolution,[status(thm)],[f20966,f20825]) ).
fof(f20987,definition,
! [X0] :
( sQ5_spl
<=> ~ attr(X0,c79) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f20988,plain,
! [X0] :
( ~ sQ5_spl
| ~ attr(X0,c79) ),
inference(component_clause,[status(thm)],[f20987]) ).
fof(f20990,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f20986,f20987,f20980,f20965]) ).
fof(f20993,plain,
( ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20822,f20988]) ).
fof(f20994,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f20993]) ).
fof(f20996,plain,
! [X0] :
( ~ sQ3_spl
| ~ sub(c78,firma_1_1)
| ~ obj(X0,c78) ),
inference(resolution,[status(thm)],[f20822,f20978]) ).
fof(f20997,definition,
! [X0] :
( sQ6_spl
<=> ~ obj(X0,c78) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f20998,plain,
! [X0] :
( ~ sQ6_spl
| ~ obj(X0,c78) ),
inference(component_clause,[status(thm)],[f20997]) ).
fof(f21000,definition,
( sQ7_spl
<=> sub(c78,firma_1_1) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f21002,plain,
( sQ7_spl
| ~ sub(c78,firma_1_1) ),
inference(component_clause,[status(thm)],[f21000]) ).
fof(f21003,plain,
( ~ sQ3_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f20996,f20997,f21000,f20977]) ).
fof(f22594,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(f22605,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)],[f22594,f10194]) ).
fof(f22608,plain,
! [X0,X1] :
( obj(sK51_skl(X0),X0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f22605,f10191]) ).
fof(f22613,plain,
( obj(sK51_skl(c78),c78)
| ~ sub(c79,name_1_1) ),
inference(resolution,[status(thm)],[f22608,f20822]) ).
fof(f22618,definition,
( sQ8_spl
<=> obj(sK51_skl(c78),c78) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f22619,plain,
( ~ sQ8_spl
| obj(sK51_skl(c78),c78) ),
inference(component_clause,[status(thm)],[f22618]) ).
fof(f22621,plain,
( sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f22613,f20980,f22618]) ).
fof(f22622,plain,
( ~ sQ8_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22619,f20998]) ).
fof(f22623,plain,
( ~ sQ8_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f22622]) ).
fof(f22624,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21002,f20823]) ).
fof(f22625,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f22624]) ).
fof(f22626,plain,
$false,
inference(sat_refutation,[status(thm)],[f20971,f20975,f20983,f20985,f20990,f20994,f21003,f22621,f22623,f22625]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+74 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.58 % Computer : n008.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Mon Sep 21 15:08:40 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.13/0.71 % Drodi V4.1.1
% 14.88/2.62 % Refutation found
% 14.88/2.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.88/2.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.88/2.69 % Elapsed time: 2.100234 seconds
% 14.88/2.69 % CPU time: 15.203911 seconds
% 14.88/2.69 % Total memory used: 501.360 MB
% 14.88/2.69 % Net memory used: 492.216 MB
%------------------------------------------------------------------------------