%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR113+25 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 12:13:49 PM UTC 2026
% Result : Theorem 11.72s 7.02s
% Output : CNFRefutation 11.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 8 unt; 4 def)
% Number of atoms : 371 ( 0 equ)
% Maximal formula atoms : 248 ( 8 avg)
% Number of connectives : 397 ( 70 ~; 54 |; 267 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 248 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 5 prp; 0-9 aty)
% Number of functors : 64 ( 64 usr; 62 con; 0-2 aty)
% Number of variables : 69 ( 58 !; 11 ?)
% 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] :
( val(X0,usa_0)
& sub(X0,name_1_1)
& scar(X2,X3)
& attr(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( val(X0,usa_0)
& sub(X0,name_1_1)
& scar(X2,X3)
& attr(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( varia(wert_1_1,varia_c)
& refer(wert_1_1,refer_c)
& quant(wert_1_1,one)
& gener(wert_1_1,ge)
& fact(wert_1_1,real)
& etype(wert_1_1,int0)
& card(wert_1_1,int1)
& sort(wert_1_1,oa)
& sort(wert_1_1,io)
& varia(re_1_1,varia_c)
& refer(re_1_1,refer_c)
& quant(re_1_1,one)
& gener(re_1_1,gener_c)
& fact(re_1_1,real)
& etype(re_1_1,int0)
& card(re_1_1,int1)
& sort(re_1_1,t)
& varia(erkennung_1_1,varia_c)
& refer(erkennung_1_1,refer_c)
& quant(erkennung_1_1,one)
& gener(erkennung_1_1,ge)
& fact(erkennung_1_1,real)
& etype(erkennung_1_1,int0)
& card(erkennung_1_1,int1)
& sort(erkennung_1_1,ad)
& varia(banner_1_1,varia_c)
& refer(banner_1_1,refer_c)
& quant(banner_1_1,one)
& gener(banner_1_1,ge)
& fact(banner_1_1,real)
& etype(banner_1_1,int0)
& card(banner_1_1,int1)
& sort(banner_1_1,d)
& varia(stern_1_1,varia_c)
& refer(stern_1_1,refer_c)
& quant(stern_1_1,one)
& gener(stern_1_1,ge)
& fact(stern_1_1,real)
& etype(stern_1_1,int0)
& card(stern_1_1,int1)
& sort(stern_1_1,d)
& varia(statue_1_1,varia_c)
& refer(statue_1_1,refer_c)
& quant(statue_1_1,one)
& gener(statue_1_1,ge)
& fact(statue_1_1,real)
& etype(statue_1_1,int0)
& card(statue_1_1,int1)
& sort(statue_1_1,d)
& varia(freiheit_1_1,varia_c)
& refer(freiheit_1_1,refer_c)
& quant(freiheit_1_1,one)
& gener(freiheit_1_1,ge)
& fact(freiheit_1_1,real)
& etype(freiheit_1_1,int0)
& card(freiheit_1_1,int1)
& sort(freiheit_1_1,io)
& sort(freiheit_1_1,as)
& varia(c54159,varia_c)
& refer(c54159,refer_c)
& quant(c54159,quant_c)
& gener(c54159,gener_c)
& fact(c54159,real)
& etype(c54159,etype_c)
& card(c54159,card_c)
& sort(c54159,ent)
& sort(sam_0,fe)
& varia(eigenname_1_1,varia_c)
& refer(eigenname_1_1,refer_c)
& quant(eigenname_1_1,one)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& card(eigenname_1_1,int1)
& sort(eigenname_1_1,na)
& varia(c53936,varia_c)
& refer(c53936,indet)
& quant(c53936,one)
& gener(c53936,sp)
& fact(c53936,real)
& etype(c53936,int0)
& card(c53936,int1)
& sort(c53936,na)
& varia(c53935,con)
& refer(c53935,det)
& quant(c53935,one)
& gener(c53935,sp)
& fact(c53935,real)
& etype(c53935,int0)
& card(c53935,int1)
& sort(c53935,d)
& varia(uncle_1_1,varia_c)
& refer(uncle_1_1,refer_c)
& quant(uncle_1_1,one)
& gener(uncle_1_1,ge)
& fact(uncle_1_1,real)
& etype(uncle_1_1,int0)
& card(uncle_1_1,int1)
& sort(uncle_1_1,o)
& varia(c53930,varia_c)
& refer(c53930,refer_c)
& quant(c53930,one)
& gener(c53930,gener_c)
& fact(c53930,real)
& etype(c53930,int0)
& card(c53930,int1)
& sort(c53930,o)
& varia(sternenbanner_1_1,varia_c)
& refer(sternenbanner_1_1,refer_c)
& quant(sternenbanner_1_1,one)
& gener(sternenbanner_1_1,ge)
& fact(sternenbanner_1_1,real)
& etype(sternenbanner_1_1,int0)
& card(sternenbanner_1_1,int1)
& sort(sternenbanner_1_1,d)
& varia(c53927,con)
& refer(c53927,det)
& quant(c53927,mult)
& gener(c53927,sp)
& fact(c53927,real)
& etype(c53927,int1)
& card(c53927,cons(x_constant,cons(int1,nil)))
& sort(c53927,d)
& sort(usa_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(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& quant(land_1_1,one)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& card(land_1_1,int1)
& sort(land_1_1,io)
& sort(land_1_1,d)
& varia(c53884,varia_c)
& refer(c53884,indet)
& quant(c53884,one)
& gener(c53884,sp)
& fact(c53884,real)
& etype(c53884,int0)
& card(c53884,int1)
& sort(c53884,na)
& varia(c53883,con)
& refer(c53883,det)
& quant(c53883,one)
& gener(c53883,sp)
& fact(c53883,real)
& etype(c53883,int0)
& card(c53883,int1)
& sort(c53883,io)
& sort(c53883,d)
& varia(symbol_1_1,varia_c)
& refer(symbol_1_1,refer_c)
& quant(symbol_1_1,one)
& gener(symbol_1_1,ge)
& fact(symbol_1_1,real)
& etype(symbol_1_1,int0)
& card(symbol_1_1,int1)
& sort(symbol_1_1,io)
& varia(c53874,varia_c)
& refer(c53874,indet)
& quant(c53874,one)
& gener(c53874,sp)
& fact(c53874,real)
& etype(c53874,int0)
& card(c53874,int1)
& sort(c53874,io)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,one)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& card(mensch_1_1,int1)
& sort(mensch_1_1,d)
& varia(c53870,varia_c)
& refer(c53870,refer_c)
& quant(c53870,many)
& gener(c53870,gener_c)
& fact(c53870,real)
& etype(c53870,int1)
& card(c53870,cons(x_constant,cons(int1,nil)))
& sort(c53870,d)
& varia(wiedererkennungswert_1_1,varia_c)
& refer(wiedererkennungswert_1_1,refer_c)
& quant(wiedererkennungswert_1_1,one)
& gener(wiedererkennungswert_1_1,ge)
& fact(wiedererkennungswert_1_1,real)
& etype(wiedererkennungswert_1_1,int0)
& card(wiedererkennungswert_1_1,int1)
& sort(wiedererkennungswert_1_1,oa)
& sort(wiedererkennungswert_1_1,io)
& sort(hoch_1_1,mq)
& varia(c53857,varia_c)
& refer(c53857,indet)
& quant(c53857,one)
& gener(c53857,sp)
& fact(c53857,real)
& etype(c53857,int0)
& card(c53857,int1)
& sort(c53857,oa)
& sort(c53857,io)
& varia(freiheitsstatue_1_1,varia_c)
& refer(freiheitsstatue_1_1,refer_c)
& quant(freiheitsstatue_1_1,one)
& gener(freiheitsstatue_1_1,ge)
& fact(freiheitsstatue_1_1,real)
& etype(freiheitsstatue_1_1,int0)
& card(freiheitsstatue_1_1,int1)
& sort(freiheitsstatue_1_1,d)
& varia(c53814,con)
& refer(c53814,det)
& quant(c53814,one)
& gener(c53814,sp)
& fact(c53814,real)
& etype(c53814,int0)
& card(c53814,int1)
& sort(c53814,d)
& sub(wiedererkennungswert_1_1,wert_1_1)
& assoc(wiedererkennungswert_1_1,re_1_1)
& assoc(wiedererkennungswert_1_1,erkennung_1_1)
& sub(sternenbanner_1_1,banner_1_1)
& assoc(sternenbanner_1_1,stern_1_1)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& tupl_p9(c54159,c53814,c53857,c53870,c53874,c53883,c53927,c53930,c53935)
& val(c53936,sam_0)
& sub(c53936,eigenname_1_1)
& sub(c53935,mensch_1_1)
& attr(c53935,c53936)
& sub(c53930,uncle_1_1)
& pred(c53927,sternenbanner_1_1)
& val(c53884,usa_0)
& sub(c53884,name_1_1)
& sub(c53883,land_1_1)
& attr(c53883,c53884)
& sub(c53874,symbol_1_1)
& pred(c53870,mensch_1_1)
& sub(c53857,wiedererkennungswert_1_1)
& prop(c53857,hoch_1_1)
& sub(c53814,freiheitsstatue_1_1) ),
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(f10703,plain,
! [X0,X1,X2] :
( scar(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] :
( ~ val(X0,usa_0)
| ~ sub(X0,name_1_1)
| ~ scar(X2,X3)
| ~ attr(X1,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X0] :
( ~ val(X0,usa_0)
| ~ sub(X0,name_1_1)
| ! [X2,X3] : ~ scar(X2,X3)
| ! [X1] : ~ attr(X1,X0) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3] :
( ~ val(X1,usa_0)
| ~ sub(X1,name_1_1)
| ~ scar(X2,X3)
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20823,plain,
attr(c53883,c53884),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20825,plain,
sub(c53884,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20826,plain,
val(c53884,usa_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21101,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ val(X1,usa_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21102,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ val(X1,usa_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21101]) ).
fof(f21104,definition,
! [X2,X3] :
( sQ1_spl
<=> ~ scar(X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21105,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ scar(X0,X1) ),
inference(component_clause,[status(thm)],[f21104]) ).
fof(f21107,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21101,f21104]) ).
fof(f21108,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c53884,name_1_1)
| ~ attr(X0,c53884) ),
inference(resolution,[status(thm)],[f20826,f21102]) ).
fof(f21109,definition,
! [X0] :
( sQ2_spl
<=> ~ attr(X0,c53884) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21110,plain,
! [X0] :
( ~ sQ2_spl
| ~ attr(X0,c53884) ),
inference(component_clause,[status(thm)],[f21109]) ).
fof(f21112,definition,
( sQ3_spl
<=> sub(c53884,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21113,plain,
( ~ sQ3_spl
| sub(c53884,name_1_1) ),
inference(component_clause,[status(thm)],[f21112]) ).
fof(f21114,plain,
( sQ3_spl
| ~ sub(c53884,name_1_1) ),
inference(component_clause,[status(thm)],[f21112]) ).
fof(f21115,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21108,f21109,f21112,f21101]) ).
fof(f21118,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20825,f21114]) ).
fof(f21119,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f21118]) ).
fof(f21120,plain,
( ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20823,f21110]) ).
fof(f21121,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f21120]) ).
fof(f21123,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f10703,f21105]) ).
fof(f21124,plain,
! [X0] :
( ~ sQ1_spl
| ~ sub(c53884,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21123,f20823]) ).
fof(f21125,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21124,f21113]) ).
fof(f21126,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(resolution,[status(thm)],[f21125,f10194]) ).
fof(f21127,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ member(name_1_1,cons(name_1_1,nil)) ),
inference(resolution,[status(thm)],[f21126,f10194]) ).
fof(f21128,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21127,f10191]) ).
fof(f21129,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f21128]) ).
fof(f21130,plain,
$false,
inference(sat_refutation,[status(thm)],[f21107,f21115,f21119,f21121,f21129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR113+25 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n026.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 15:06:13 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.13/5.51 % Drodi V4.1.1
% 11.72/7.02 % Refutation found
% 11.72/7.02 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.72/7.02 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.72/7.11 % Elapsed time: 1.716147 seconds
% 11.72/7.11 % CPU time: 12.103044 seconds
% 11.72/7.11 % Total memory used: 491.612 MB
% 11.72/7.11 % Net memory used: 485.018 MB
%------------------------------------------------------------------------------