%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR115+50 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 12:14:01 PM UTC 2026
% Result : Theorem 37.52s 5.31s
% Output : CNFRefutation 23.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 13 unt; 6 def)
% Number of atoms : 294 ( 0 equ)
% Maximal formula atoms : 180 ( 6 avg)
% Number of connectives : 311 ( 63 ~; 47 |; 194 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 180 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 7 prp; 0-5 aty)
% Number of functors : 47 ( 47 usr; 46 con; 0-2 aty)
% Number of variables : 65 ( 50 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,axiom,
! [X0,X1,X2] :
( ( subs(X0,X1)
& chea(X2,X1) )
=> ? [X3] :
( subs(X3,X2)
& chea(X3,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8535,axiom,
chea(n374bernehmen_1_1,annahme_1_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10188,conjecture,
? [X0,X1,X2,X3,X4,X5] :
( val(X1,bmw_0)
& subs(X3,n374bernehmen_1_1)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& attr(X4,X5)
& attr(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5] :
( val(X1,bmw_0)
& subs(X3,n374bernehmen_1_1)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& attr(X4,X5)
& attr(X2,X1) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( sort(m__374nchen_0,fe)
& 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(c87,varia_c)
& refer(c87,indet)
& quant(c87,one)
& gener(c87,sp)
& fact(c87,real)
& etype(c87,int0)
& card(c87,int1)
& sort(c87,na)
& sort(bmw_0,fe)
& 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(c74,varia_c)
& refer(c74,indet)
& quant(c74,one)
& gener(c74,sp)
& fact(c74,real)
& etype(c74,int0)
& card(c74,int1)
& sort(c74,na)
& sort(rover_0,fe)
& sort(britisch__1_1,nq)
& varia(c56,varia_c)
& refer(c56,indet)
& quant(c56,one)
& gener(c56,sp)
& fact(c56,real)
& etype(c56,int0)
& card(c56,int1)
& sort(c56,na)
& varia(annahme_1_1,varia_c)
& refer(annahme_1_1,refer_c)
& quant(annahme_1_1,one)
& gener(annahme_1_1,ge)
& fact(annahme_1_1,real)
& etype(annahme_1_1,int0)
& card(annahme_1_1,int1)
& sort(annahme_1_1,ad)
& varia(c55,con)
& refer(c55,det)
& quant(c55,one)
& gener(c55,sp)
& fact(c55,real)
& etype(c55,int0)
& card(c55,int1)
& sort(c55,io)
& sort(c55,d)
& sort(eu_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(kommission_1_1,varia_c)
& refer(kommission_1_1,refer_c)
& quant(kommission_1_1,quant_c)
& gener(kommission_1_1,ge)
& fact(kommission_1_1,real)
& etype(kommission_1_1,int1)
& card(kommission_1_1,card_c)
& sort(kommission_1_1,io)
& sort(kommission_1_1,d)
& varia(c19,varia_c)
& refer(c19,det)
& quant(c19,one)
& gener(c19,sp)
& fact(c19,real)
& etype(c19,int0)
& card(c19,int1)
& sort(c19,na)
& varia(c86,con)
& refer(c86,det)
& quant(c86,one)
& gener(c86,sp)
& fact(c86,real)
& etype(c86,int0)
& card(c86,int1)
& sort(c86,io)
& sort(c86,d)
& varia(c73,con)
& refer(c73,det)
& quant(c73,one)
& gener(c73,sp)
& fact(c73,real)
& etype(c73,int0)
& card(c73,int1)
& sort(c73,io)
& sort(c73,d)
& varia(c25,con)
& refer(c25,det)
& quant(c25,one)
& gener(c25,sp)
& fact(c25,real)
& etype(c25,int0)
& card(c25,int1)
& sort(c25,ad)
& varia(c18,varia_c)
& refer(c18,det)
& quant(c18,one)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,int1)
& card(c18,int1)
& sort(c18,io)
& sort(c18,d)
& varia(c171,varia_c)
& refer(c171,refer_c)
& quant(c171,quant_c)
& gener(c171,gener_c)
& fact(c171,real)
& etype(c171,etype_c)
& card(c171,card_c)
& sort(c171,ent)
& varia(fabrikant_1_1,varia_c)
& refer(fabrikant_1_1,refer_c)
& quant(fabrikant_1_1,one)
& gener(fabrikant_1_1,ge)
& fact(fabrikant_1_1,real)
& etype(fabrikant_1_1,int0)
& card(fabrikant_1_1,int1)
& sort(fabrikant_1_1,io)
& sort(fabrikant_1_1,d)
& varia(auto__1_1,varia_c)
& refer(auto__1_1,refer_c)
& quant(auto__1_1,one)
& gener(auto__1_1,ge)
& fact(auto__1_1,real)
& etype(auto__1_1,int0)
& card(auto__1_1,int1)
& sort(auto__1_1,d)
& varia(autobauer_1_1,varia_c)
& refer(autobauer_1_1,refer_c)
& quant(autobauer_1_1,one)
& gener(autobauer_1_1,ge)
& fact(autobauer_1_1,real)
& etype(autobauer_1_1,int0)
& card(autobauer_1_1,int1)
& sort(autobauer_1_1,io)
& sort(autobauer_1_1,d)
& val(c87,m__374nchen_0)
& sub(c87,name_1_1)
& sub(c86,stadt__1_1)
& attr(c86,c87)
& val(c74,bmw_0)
& sub(c74,name_1_1)
& sub(c73,firma_1_1)
& attr(c73,c74)
& val(c56,rover_0)
& sub(c56,name_1_1)
& sub(c55,autobauer_1_1)
& prop(c55,britisch__1_1)
& attr(c55,c56)
& subs(c25,annahme_1_1)
& obj(c25,c55)
& val(c19,eu_0)
& sub(c19,name_1_1)
& sub(c18,kommission_1_1)
& attr(c18,c19)
& tupl_p5(c171,c18,c25,c73,c86)
& sub(autobauer_1_1,fabrikant_1_1)
& assoc(autobauer_1_1,auto__1_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10373,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,X2)
& chea(X3,X0) )
| ~ subs(X0,X1)
| ~ chea(X2,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f10374,plain,
! [X0,X2] :
( ? [X3] :
( subs(X3,X2)
& chea(X3,X0) )
| ! [X1] :
( ~ subs(X0,X1)
| ~ chea(X2,X1) ) ),
inference(miniscoping,[status(thm)],[f10373]) ).
fof(f10375,plain,
! [X0,X2] :
( ( subs(sK4_skl(X2,X0),X2)
& chea(sK4_skl(X2,X0),X0) )
| ! [X1] :
( ~ subs(X0,X1)
| ~ chea(X2,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(X3,sK4_skl(X2,X0))],[f10374]) ).
fof(f10377,plain,
! [X0,X1,X2] :
( subs(sK4_skl(X0,X2),X0)
| ~ subs(X2,X1)
| ~ chea(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10375]) ).
fof(f19162,plain,
chea(n374bernehmen_1_1,annahme_1_1),
inference(cnf_transformation,[status(thm)],[f8535]) ).
fof(f20815,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ val(X1,bmw_0)
| ~ subs(X3,n374bernehmen_1_1)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ attr(X4,X5)
| ~ attr(X2,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X1] :
( ~ val(X1,bmw_0)
| ! [X3] : ~ subs(X3,n374bernehmen_1_1)
| ~ sub(X1,name_1_1)
| ! [X0] : ~ sub(X0,firma_1_1)
| ! [X4,X5] : ~ attr(X4,X5)
| ! [X2] : ~ attr(X2,X1) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ val(X1,bmw_0)
| ~ subs(X5,n374bernehmen_1_1)
| ~ sub(X1,name_1_1)
| ~ sub(X4,firma_1_1)
| ~ attr(X2,X3)
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20826,plain,
subs(c25,annahme_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20832,plain,
attr(c73,c74),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20833,plain,
sub(c73,firma_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20834,plain,
sub(c74,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20835,plain,
val(c74,bmw_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21033,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(f21034,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ val(X1,bmw_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21033]) ).
fof(f21036,definition,
! [X2,X3] :
( sQ1_spl
<=> ~ attr(X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21037,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21036]) ).
fof(f21039,definition,
! [X4] :
( sQ2_spl
<=> ~ sub(X4,firma_1_1) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21040,plain,
! [X0] :
( ~ sQ2_spl
| ~ sub(X0,firma_1_1) ),
inference(component_clause,[status(thm)],[f21039]) ).
fof(f21042,definition,
! [X5] :
( sQ3_spl
<=> ~ subs(X5,n374bernehmen_1_1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21043,plain,
! [X0] :
( ~ sQ3_spl
| ~ subs(X0,n374bernehmen_1_1) ),
inference(component_clause,[status(thm)],[f21042]) ).
fof(f21045,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21033,f21036,f21039,f21042]) ).
fof(f21108,plain,
! [X0] :
( subs(sK4_skl(n374bernehmen_1_1,X0),n374bernehmen_1_1)
| ~ subs(X0,annahme_1_1) ),
inference(resolution,[status(thm)],[f10377,f19162]) ).
fof(f21109,plain,
! [X0] :
( ~ sQ3_spl
| ~ subs(X0,annahme_1_1) ),
inference(forward_subsumption_resolution,[status(thm)],[f21108,f21043]) ).
fof(f21111,plain,
( ~ sQ3_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20826,f21109]) ).
fof(f21112,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f21111]) ).
fof(f21115,plain,
( ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20833,f21040]) ).
fof(f21121,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f21115]) ).
fof(f21125,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c74,name_1_1)
| ~ attr(X0,c74) ),
inference(resolution,[status(thm)],[f21034,f20835]) ).
fof(f21126,definition,
! [X0] :
( sQ4_spl
<=> ~ attr(X0,c74) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f21127,plain,
! [X0] :
( ~ sQ4_spl
| ~ attr(X0,c74) ),
inference(component_clause,[status(thm)],[f21126]) ).
fof(f21129,definition,
( sQ5_spl
<=> sub(c74,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21131,plain,
( sQ5_spl
| ~ sub(c74,name_1_1) ),
inference(component_clause,[status(thm)],[f21129]) ).
fof(f21132,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21125,f21126,f21129,f21033]) ).
fof(f21133,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21131,f20834]) ).
fof(f21134,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f21133]) ).
fof(f21135,plain,
( ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20832,f21037]) ).
fof(f21137,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f21135]) ).
fof(f21144,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20832,f21127]) ).
fof(f21145,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f21144]) ).
fof(f21146,plain,
$false,
inference(sat_refutation,[status(thm)],[f21045,f21112,f21121,f21132,f21134,f21137,f21145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+50 : 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 : n007.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 15:04:50 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.42 % Drodi V4.1.1
% 37.52/5.31 % Refutation found
% 37.52/5.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 37.52/5.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 23.35/5.48 % Elapsed time: 5.110474 seconds
% 23.35/5.48 % CPU time: 38.689713 seconds
% 23.35/5.48 % Total memory used: 514.016 MB
% 23.35/5.48 % Net memory used: 504.644 MB
%------------------------------------------------------------------------------