%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR115+66 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 12:14:03 PM UTC 2026
% Result : Theorem 11.95s 1.99s
% Output : CNFRefutation 11.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 58 ( 18 unt; 8 def)
% Number of atoms : 335 ( 0 equ)
% Maximal formula atoms : 127 ( 5 avg)
% Number of connectives : 414 ( 137 ~; 122 |; 146 &)
% ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 127 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 9 prp; 0-2 aty)
% Number of functors : 45 ( 45 usr; 45 con; 0-0 aty)
% Number of variables : 84 ( 70 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1] :
( card(X0,X1)
=> has_card_leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10188,conjecture,
? [X0,X1,X2,X3,X4,X5,X6] :
( val(X5,X6)
& val(X1,bmw_0)
& temp(X3,X4)
& subs(X3,n374bernehmen_1_1)
& sub(X5,jahr__1_1)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& has_card_leq(X6,int1994)
& attr(X4,X5)
& attr(X2,X1)
& agt(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( val(X5,X6)
& val(X1,bmw_0)
& temp(X3,X4)
& subs(X3,n374bernehmen_1_1)
& sub(X5,jahr__1_1)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& has_card_leq(X6,int1994)
& attr(X4,X5)
& attr(X2,X1)
& agt(X3,X2) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( 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(c87,varia_c)
& refer(c87,indet)
& quant(c87,one)
& gener(c87,sp)
& fact(c87,real)
& etype(c87,int0)
& card(c87,int1)
& sort(c87,na)
& card(c1,int1994)
& sort(c1,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(c5,varia_c)
& refer(c5,refer_c)
& quant(c5,quant_c)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,etype_c)
& card(c5,card_c)
& sort(c5,ta)
& sort(c5,oa)
& sort(c5,me)
& varia(c4,con)
& refer(c4,det)
& quant(c4,one)
& gener(c4,sp)
& fact(c4,real)
& etype(c4,int0)
& card(c4,int1)
& sort(c4,t)
& gener(n374bernehmen_1_1,ge)
& fact(n374bernehmen_1_1,real)
& sort(n374bernehmen_1_1,da)
& 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)
& gener(c3,sp)
& fact(c3,real)
& sort(c3,da)
& sort(rover_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)
& sort(britisch__1_1,nq)
& varia(c104,varia_c)
& refer(c104,indet)
& quant(c104,one)
& gener(c104,sp)
& fact(c104,real)
& etype(c104,int0)
& card(c104,int1)
& sort(c104,na)
& varia(c103,con)
& refer(c103,det)
& quant(c103,one)
& gener(c103,sp)
& fact(c103,real)
& etype(c103,int0)
& card(c103,int1)
& sort(c103,io)
& sort(c103,d)
& 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)
& sort(automobil_1_1,tq)
& 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,bmw_0)
& sub(c87,name_1_1)
& sub(c86,firma_1_1)
& attr(c86,c87)
& val(c5,c1)
& sub(c5,jahr__1_1)
& attr(c4,c5)
& temp(c3,c4)
& subs(c3,n374bernehmen_1_1)
& obj(c3,c103)
& agt(c3,c86)
& val(c104,rover_0)
& sub(c104,name_1_1)
& sub(c103,autobauer_1_1)
& prop(c103,britisch__1_1)
& attr(c103,c104)
& sub(autobauer_1_1,fabrikant_1_1)
& assoc(autobauer_1_1,automobil_1_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(f20815,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ val(X5,X6)
| ~ val(X1,bmw_0)
| ~ temp(X3,X4)
| ~ subs(X3,n374bernehmen_1_1)
| ~ sub(X5,jahr__1_1)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ has_card_leq(X6,int1994)
| ~ attr(X4,X5)
| ~ attr(X2,X1)
| ~ agt(X3,X2) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X5,X6] :
( ~ val(X5,X6)
| ! [X1] :
( ~ val(X1,bmw_0)
| ! [X3,X4] :
( ~ temp(X3,X4)
| ~ subs(X3,n374bernehmen_1_1)
| ~ sub(X5,jahr__1_1)
| ~ sub(X1,name_1_1)
| ! [X0] : ~ sub(X0,firma_1_1)
| ~ has_card_leq(X6,int1994)
| ~ attr(X4,X5)
| ! [X2] :
( ~ attr(X2,X1)
| ~ agt(X3,X2) ) ) ) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ val(X4,X5)
| ~ val(X2,bmw_0)
| ~ temp(X0,X3)
| ~ subs(X0,n374bernehmen_1_1)
| ~ sub(X4,jahr__1_1)
| ~ sub(X2,name_1_1)
| ~ sub(X6,firma_1_1)
| ~ has_card_leq(X5,int1994)
| ~ attr(X3,X4)
| ~ attr(X1,X2)
| ~ agt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20825,plain,
agt(c3,c86),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20827,plain,
subs(c3,n374bernehmen_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
temp(c3,c4),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
attr(c4,c5),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20830,plain,
sub(c5,jahr__1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20831,plain,
val(c5,c1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20832,plain,
attr(c86,c87),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20833,plain,
sub(c86,firma_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20834,plain,
sub(c87,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20835,plain,
val(c87,bmw_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20926,plain,
card(c1,int1994),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20980,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ0_spl
<=> ( ~ val(X4,X5)
| ~ val(X2,bmw_0)
| ~ temp(X0,X3)
| ~ subs(X0,n374bernehmen_1_1)
| ~ sub(X4,jahr__1_1)
| ~ sub(X2,name_1_1)
| ~ has_card_leq(X5,int1994)
| ~ attr(X3,X4)
| ~ attr(X1,X2)
| ~ agt(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f20981,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ0_spl
| ~ val(X4,X5)
| ~ val(X2,bmw_0)
| ~ temp(X0,X3)
| ~ subs(X0,n374bernehmen_1_1)
| ~ sub(X4,jahr__1_1)
| ~ sub(X2,name_1_1)
| ~ has_card_leq(X5,int1994)
| ~ attr(X3,X4)
| ~ attr(X1,X2)
| ~ agt(X0,X1) ),
inference(component_clause,[status(thm)],[f20980]) ).
fof(f20983,definition,
! [X6] :
( sQ1_spl
<=> ~ sub(X6,firma_1_1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f20984,plain,
! [X0] :
( ~ sQ1_spl
| ~ sub(X0,firma_1_1) ),
inference(component_clause,[status(thm)],[f20983]) ).
fof(f20986,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f20980,f20983]) ).
fof(f20989,plain,
has_card_leq(c1,int1994),
inference(resolution,[status(thm)],[f20926,f10225]) ).
fof(f20991,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ0_spl
| ~ val(X4,c1)
| ~ val(X2,bmw_0)
| ~ temp(X0,X3)
| ~ subs(X0,n374bernehmen_1_1)
| ~ sub(X4,jahr__1_1)
| ~ sub(X2,name_1_1)
| ~ attr(X3,X4)
| ~ attr(X1,X2)
| ~ agt(X0,X1) ),
inference(resolution,[status(thm)],[f20989,f20981]) ).
fof(f20992,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ val(X2,bmw_0)
| ~ temp(X0,X3)
| ~ subs(X0,n374bernehmen_1_1)
| ~ sub(c5,jahr__1_1)
| ~ sub(X2,name_1_1)
| ~ attr(X3,c5)
| ~ attr(X1,X2)
| ~ agt(X0,X1) ),
inference(resolution,[status(thm)],[f20831,f20991]) ).
fof(f20993,definition,
! [X0,X1,X2,X3] :
( sQ2_spl
<=> ( ~ val(X2,bmw_0)
| ~ temp(X0,X3)
| ~ subs(X0,n374bernehmen_1_1)
| ~ sub(X2,name_1_1)
| ~ attr(X3,c5)
| ~ attr(X1,X2)
| ~ agt(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f20994,plain,
! [X0,X1,X2,X3] :
( ~ sQ2_spl
| ~ val(X2,bmw_0)
| ~ temp(X0,X3)
| ~ subs(X0,n374bernehmen_1_1)
| ~ sub(X2,name_1_1)
| ~ attr(X3,c5)
| ~ attr(X1,X2)
| ~ agt(X0,X1) ),
inference(component_clause,[status(thm)],[f20993]) ).
fof(f20996,definition,
( sQ3_spl
<=> sub(c5,jahr__1_1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f20998,plain,
( sQ3_spl
| ~ sub(c5,jahr__1_1) ),
inference(component_clause,[status(thm)],[f20996]) ).
fof(f20999,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f20992,f20993,f20996,f20980]) ).
fof(f21000,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20998,f20830]) ).
fof(f21001,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f21000]) ).
fof(f21002,plain,
( ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20833,f20984]) ).
fof(f21004,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f21002]) ).
fof(f21008,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ temp(X0,X2)
| ~ subs(X0,n374bernehmen_1_1)
| ~ sub(c87,name_1_1)
| ~ attr(X2,c5)
| ~ attr(X1,c87)
| ~ agt(X0,X1) ),
inference(resolution,[status(thm)],[f20994,f20835]) ).
fof(f21009,definition,
! [X0,X1,X2] :
( sQ4_spl
<=> ( ~ temp(X0,X2)
| ~ subs(X0,n374bernehmen_1_1)
| ~ attr(X2,c5)
| ~ attr(X1,c87)
| ~ agt(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f21010,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| ~ temp(X0,X2)
| ~ subs(X0,n374bernehmen_1_1)
| ~ attr(X2,c5)
| ~ attr(X1,c87)
| ~ agt(X0,X1) ),
inference(component_clause,[status(thm)],[f21009]) ).
fof(f21012,definition,
( sQ5_spl
<=> sub(c87,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21014,plain,
( sQ5_spl
| ~ sub(c87,name_1_1) ),
inference(component_clause,[status(thm)],[f21012]) ).
fof(f21015,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21008,f21009,f21012,f20993]) ).
fof(f21018,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ temp(X0,X1)
| ~ subs(X0,n374bernehmen_1_1)
| ~ attr(X1,c5)
| ~ agt(X0,c86) ),
inference(resolution,[status(thm)],[f21010,f20832]) ).
fof(f21019,plain,
! [X0] :
( ~ sQ4_spl
| ~ temp(X0,c4)
| ~ subs(X0,n374bernehmen_1_1)
| ~ agt(X0,c86) ),
inference(resolution,[status(thm)],[f21018,f20829]) ).
fof(f21020,plain,
( ~ sQ4_spl
| ~ subs(c3,n374bernehmen_1_1)
| ~ agt(c3,c86) ),
inference(resolution,[status(thm)],[f21019,f20828]) ).
fof(f21022,definition,
( sQ6_spl
<=> agt(c3,c86) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f21024,plain,
( sQ6_spl
| ~ agt(c3,c86) ),
inference(component_clause,[status(thm)],[f21022]) ).
fof(f21025,definition,
( sQ7_spl
<=> subs(c3,n374bernehmen_1_1) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f21027,plain,
( sQ7_spl
| ~ subs(c3,n374bernehmen_1_1) ),
inference(component_clause,[status(thm)],[f21025]) ).
fof(f21028,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f21020,f21022,f21025,f21009]) ).
fof(f21029,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21014,f20834]) ).
fof(f21030,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f21029]) ).
fof(f21031,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21024,f20825]) ).
fof(f21032,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f21031]) ).
fof(f21033,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21027,f20827]) ).
fof(f21034,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f21033]) ).
fof(f21035,plain,
$false,
inference(sat_refutation,[status(thm)],[f20986,f20999,f21001,f21004,f21015,f21028,f21030,f21032,f21034]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR115+66 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 15:08:46 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.42 % Drodi V4.1.1
% 11.95/1.99 % Refutation found
% 11.95/1.99 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.95/1.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.69/2.15 % Elapsed time: 1.781572 seconds
% 0.69/2.15 % CPU time: 12.538810 seconds
% 0.69/2.15 % Total memory used: 472.628 MB
% 0.69/2.15 % Net memory used: 468.120 MB
%------------------------------------------------------------------------------