%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR114+16 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 12:13:51 PM UTC 2026
% Result : Theorem 16.04s 2.53s
% Output : CNFRefutation 16.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 9 unt; 4 def)
% Number of atoms : 183 ( 0 equ)
% Maximal formula atoms : 108 ( 6 avg)
% Number of connectives : 199 ( 46 ~; 34 |; 115 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 108 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 5 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 40 con; 0-0 aty)
% Number of variables : 31 ( 23 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10188,conjecture,
? [X0,X1,X2,X3] :
( val(X1,rom_0)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X3,X2)
& attr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( val(X1,rom_0)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X3,X2)
& attr(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( sort(rom_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(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(c820,varia_c)
& refer(c820,indet)
& quant(c820,one)
& gener(c820,sp)
& fact(c820,real)
& etype(c820,int0)
& card(c820,int1)
& sort(c820,na)
& varia(provinz_1_1,varia_c)
& refer(provinz_1_1,refer_c)
& quant(provinz_1_1,one)
& gener(provinz_1_1,ge)
& fact(provinz_1_1,real)
& etype(provinz_1_1,int0)
& card(provinz_1_1,int1)
& sort(provinz_1_1,io)
& sort(provinz_1_1,d)
& gener(geh__366ren_1_1,ge)
& fact(geh__366ren_1_1,real)
& sort(geh__366ren_1_1,st)
& varia(c819,con)
& refer(c819,det)
& quant(c819,one)
& gener(c819,sp)
& fact(c819,real)
& etype(c819,int0)
& card(c819,int1)
& sort(c819,io)
& sort(c819,d)
& varia(c814,con)
& refer(c814,det)
& quant(c814,one)
& gener(c814,sp)
& fact(c814,real)
& etype(c814,int0)
& card(c814,int1)
& sort(c814,io)
& sort(c814,d)
& gener(c672,sp)
& fact(c672,real)
& sort(c672,st)
& varia(bewohner__1_1,varia_c)
& refer(bewohner__1_1,refer_c)
& quant(bewohner__1_1,one)
& gener(bewohner__1_1,ge)
& fact(bewohner__1_1,real)
& etype(bewohner__1_1,int0)
& card(bewohner__1_1,int1)
& sort(bewohner__1_1,d)
& gener(haben_1_1,ge)
& fact(haben_1_1,real)
& sort(haben_1_1,st)
& varia(c43,varia_c)
& refer(c43,det)
& quant(c43,quant_c)
& gener(c43,sp)
& fact(c43,real)
& etype(c43,etype_c)
& card(c43,card_c)
& sort(c43,re)
& sort(c43,ta)
& sort(c43,mo)
& sort(c43,io)
& sort(c43,co)
& sort(c43,abs)
& varia(c660,varia_c)
& refer(c660,indet)
& quant(c660,nfquant)
& gener(c660,sp)
& fact(c660,real)
& etype(c660,int1)
& card(c660,int35895)
& sort(c660,d)
& gener(c657,sp)
& fact(c657,real)
& sort(c657,st)
& val(c820,rom_0)
& sub(c820,name_1_1)
& sub(c819,stadt__1_1)
& attr(c819,c820)
& sub(c814,provinz_1_1)
& subs(c672,geh__366ren_1_1)
& sspe(c672,c819)
& semrel(c672,c657)
& scar(c672,c43)
& assoc(c672,c814)
& pred(c660,bewohner__1_1)
& subs(c657,haben_1_1)
& scar(c657,c43)
& obj(c657,c660) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20815,plain,
! [X0,X1,X2,X3] :
( ~ val(X1,rom_0)
| ~ sub(X0,stadt__1_1)
| ~ sub(X1,name_1_1)
| ~ scar(X3,X2)
| ~ attr(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X1] :
( ~ val(X1,rom_0)
| ! [X0] :
( ~ sub(X0,stadt__1_1)
| ~ sub(X1,name_1_1)
| ! [X2,X3] : ~ scar(X3,X2)
| ~ attr(X0,X1) ) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3] :
( ~ val(X1,rom_0)
| ~ sub(X0,stadt__1_1)
| ~ sub(X1,name_1_1)
| ~ scar(X2,X3)
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20819,plain,
scar(c657,c43),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
attr(c819,c820),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
sub(c819,stadt__1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20830,plain,
sub(c820,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20831,plain,
val(c820,rom_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20961,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ val(X1,rom_0)
| ~ sub(X0,stadt__1_1)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f20962,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ val(X1,rom_0)
| ~ sub(X0,stadt__1_1)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f20961]) ).
fof(f20964,definition,
! [X2,X3] :
( sQ1_spl
<=> ~ scar(X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f20965,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ scar(X0,X1) ),
inference(component_clause,[status(thm)],[f20964]) ).
fof(f20967,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f20961,f20964]) ).
fof(f20968,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(X0,stadt__1_1)
| ~ sub(c820,name_1_1)
| ~ attr(X0,c820) ),
inference(resolution,[status(thm)],[f20831,f20962]) ).
fof(f20969,definition,
! [X0] :
( sQ2_spl
<=> ( ~ sub(X0,stadt__1_1)
| ~ attr(X0,c820) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f20970,plain,
! [X0] :
( ~ sQ2_spl
| ~ sub(X0,stadt__1_1)
| ~ attr(X0,c820) ),
inference(component_clause,[status(thm)],[f20969]) ).
fof(f20972,definition,
( sQ3_spl
<=> sub(c820,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f20974,plain,
( sQ3_spl
| ~ sub(c820,name_1_1) ),
inference(component_clause,[status(thm)],[f20972]) ).
fof(f20975,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f20968,f20969,f20972,f20961]) ).
fof(f20978,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20819,f20965]) ).
fof(f20979,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f20978]) ).
fof(f20980,plain,
( ~ sQ2_spl
| ~ sub(c819,stadt__1_1) ),
inference(resolution,[status(thm)],[f20828,f20970]) ).
fof(f20981,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20829,f20980]) ).
fof(f20982,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f20981]) ).
fof(f20984,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20974,f20830]) ).
fof(f20985,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f20984]) ).
fof(f20986,plain,
$false,
inference(sat_refutation,[status(thm)],[f20967,f20975,f20979,f20982,f20985]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR114+16 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 15:02:37 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.46 % Drodi V4.1.1
% 16.04/2.53 % Refutation found
% 16.04/2.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.04/2.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.24/2.63 % Elapsed time: 2.264468 seconds
% 3.24/2.63 % CPU time: 16.501021 seconds
% 3.24/2.63 % Total memory used: 509.554 MB
% 3.24/2.63 % Net memory used: 497.520 MB
%------------------------------------------------------------------------------