%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR113+22 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 16.57s 2.65s
% Output : CNFRefutation 16.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 8 unt; 4 def)
% Number of atoms : 385 ( 0 equ)
% Maximal formula atoms : 262 ( 8 avg)
% Number of connectives : 411 ( 70 ~; 54 |; 281 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 262 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 25 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X0,X2)
=> member(X0,cons(X1,X2)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f10188,conjecture,
? [X0,X1,X2,X3] :
( val(X0,new_york_0)
& sub(X0,name_1_1)
& scar(X2,X3)
& attr(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( val(X0,new_york_0)
& sub(X0,name_1_1)
& scar(X2,X3)
& attr(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( varia(ort_1_2,varia_c)
& refer(ort_1_2,refer_c)
& quant(ort_1_2,one)
& gener(ort_1_2,ge)
& fact(ort_1_2,real)
& etype(ort_1_2,int0)
& card(ort_1_2,int1)
& sort(ort_1_2,d)
& varia(stand_1_1,varia_c)
& refer(stand_1_1,refer_c)
& quant(stand_1_1,one)
& gener(stand_1_1,ge)
& fact(stand_1_1,real)
& etype(stand_1_1,int0)
& card(stand_1_1,int1)
& sort(stand_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(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(c96,con)
& refer(c96,det)
& quant(c96,one)
& gener(c96,sp)
& fact(c96,real)
& etype(c96,int0)
& card(c96,int1)
& sort(c96,d)
& varia(standort_1_1,varia_c)
& refer(standort_1_1,refer_c)
& quant(standort_1_1,one)
& gener(standort_1_1,ge)
& fact(standort_1_1,real)
& etype(standort_1_1,int0)
& card(standort_1_1,int1)
& sort(standort_1_1,d)
& sort(bay_0,fe)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& quant(familiename_1_1,one)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& sort(familiename_1_1,na)
& 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(c84,varia_c)
& refer(c84,indet)
& quant(c84,one)
& gener(c84,sp)
& fact(c84,real)
& etype(c84,int0)
& card(c84,int1)
& sort(c84,na)
& sort(new_york_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(c80,varia_c)
& refer(c80,indet)
& quant(c80,one)
& gener(c80,sp)
& fact(c80,real)
& etype(c80,int0)
& card(c80,int1)
& sort(c80,na)
& varia(upper_1_1,varia_c)
& refer(upper_1_1,refer_c)
& quant(upper_1_1,one)
& gener(upper_1_1,ge)
& fact(upper_1_1,real)
& etype(upper_1_1,int0)
& card(upper_1_1,int1)
& sort(upper_1_1,o)
& varia(insel__1_1,varia_c)
& refer(insel__1_1,refer_c)
& quant(insel__1_1,one)
& gener(insel__1_1,ge)
& fact(insel__1_1,real)
& etype(insel__1_1,int0)
& card(insel__1_1,int1)
& sort(insel__1_1,d)
& sort(unbesiedelt_1_1,ql)
& sort(klein_1_1,mq)
& sort(island_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(gebietsinstitution_1_1,varia_c)
& refer(gebietsinstitution_1_1,refer_c)
& quant(gebietsinstitution_1_1,one)
& gener(gebietsinstitution_1_1,ge)
& fact(gebietsinstitution_1_1,real)
& etype(gebietsinstitution_1_1,int0)
& card(gebietsinstitution_1_1,int1)
& sort(gebietsinstitution_1_1,io)
& sort(gebietsinstitution_1_1,d)
& varia(c57,varia_c)
& refer(c57,indet)
& quant(c57,one)
& gener(c57,sp)
& fact(c57,real)
& etype(c57,int0)
& card(c57,int1)
& sort(c57,na)
& varia(bedloe_1_1,varia_c)
& refer(bedloe_1_1,refer_c)
& quant(bedloe_1_1,one)
& gener(bedloe_1_1,ge)
& fact(bedloe_1_1,real)
& etype(bedloe_1_1,int0)
& card(bedloe_1_1,int1)
& sort(bedloe_1_1,o)
& varia(freiheitsinsel_1_1,varia_c)
& refer(freiheitsinsel_1_1,refer_c)
& quant(freiheitsinsel_1_1,one)
& gener(freiheitsinsel_1_1,ge)
& fact(freiheitsinsel_1_1,real)
& etype(freiheitsinsel_1_1,int0)
& card(freiheitsinsel_1_1,int1)
& sort(freiheitsinsel_1_1,d)
& varia(c92,varia_c)
& refer(c92,det)
& quant(c92,one)
& gener(c92,sp)
& fact(c92,real)
& etype(c92,int0)
& card(c92,int1)
& sort(c92,d)
& varia(c83,con)
& refer(c83,det)
& quant(c83,one)
& gener(c83,sp)
& fact(c83,real)
& etype(c83,int0)
& card(c83,int1)
& sort(c83,d)
& varia(c79,con)
& refer(c79,det)
& quant(c79,one)
& gener(c79,sp)
& fact(c79,real)
& etype(c79,int0)
& card(c79,int1)
& sort(c79,io)
& sort(c79,d)
& varia(c74,con)
& refer(c74,det)
& quant(c74,one)
& gener(c74,sp)
& fact(c74,real)
& etype(c74,int0)
& card(c74,int1)
& sort(c74,o)
& varia(c69,varia_c)
& refer(c69,indet)
& quant(c69,one)
& gener(c69,sp)
& fact(c69,real)
& etype(c69,int0)
& card(c69,int1)
& sort(c69,d)
& varia(c56,con)
& refer(c56,det)
& quant(c56,one)
& gener(c56,sp)
& fact(c56,real)
& etype(c56,int0)
& card(c56,int1)
& sort(c56,io)
& sort(c56,d)
& varia(c39,varia_c)
& refer(c39,indet)
& quant(c39,mult)
& gener(c39,gener_c)
& fact(c39,real)
& etype(c39,int1)
& card(c39,cons(x_constant,cons(int1,nil)))
& sort(c39,o)
& varia(c28,varia_c)
& refer(c28,refer_c)
& quant(c28,one)
& gener(c28,gener_c)
& fact(c28,real)
& etype(c28,int0)
& card(c28,int1)
& sort(c28,d)
& varia(c188,varia_c)
& refer(c188,refer_c)
& quant(c188,quant_c)
& gener(c188,gener_c)
& fact(c188,real)
& etype(c188,etype_c)
& card(c188,card_c)
& sort(c188,ent)
& sub(standort_1_1,ort_1_2)
& assoc(standort_1_1,stand_1_1)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& sub(freiheitsinsel_1_1,insel__1_1)
& assoc(freiheitsinsel_1_1,freiheit_1_1)
& sub(c96,freiheitsstatue_1_1)
& attch(c96,c92)
& sub(c92,standort_1_1)
& val(c84,bay_0)
& sub(c84,familiename_1_1)
& sub(c83,mensch_1_1)
& attr(c83,c84)
& val(c80,new_york_0)
& sub(c80,name_1_1)
& sub(c79,stadt__1_1)
& attr(c79,c80)
& sub(c74,upper_1_1)
& sub(c69,insel__1_1)
& prop(c69,unbesiedelt_1_1)
& prop(c69,klein_1_1)
& val(c57,island_0)
& sub(c57,name_1_1)
& sub(c56,gebietsinstitution_1_1)
& attr(c56,c57)
& pred(c39,bedloe_1_1)
& sub(c28,freiheitsinsel_1_1)
& tupl_p9(c188,c28,c39,c56,c69,c74,c79,c83,c92) ),
file('/export/starexec/sandbox2/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,new_york_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,new_york_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,new_york_0)
| ~ sub(X1,name_1_1)
| ~ scar(X2,X3)
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20829,plain,
attr(c79,c80),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20831,plain,
sub(c80,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20832,plain,
val(c80,new_york_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21115,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ val(X1,new_york_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21116,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ val(X1,new_york_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21115]) ).
fof(f21118,definition,
! [X2,X3] :
( sQ1_spl
<=> ~ scar(X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21119,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ scar(X0,X1) ),
inference(component_clause,[status(thm)],[f21118]) ).
fof(f21121,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21115,f21118]) ).
fof(f21122,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c80,name_1_1)
| ~ attr(X0,c80) ),
inference(resolution,[status(thm)],[f20832,f21116]) ).
fof(f21123,definition,
! [X0] :
( sQ2_spl
<=> ~ attr(X0,c80) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21124,plain,
! [X0] :
( ~ sQ2_spl
| ~ attr(X0,c80) ),
inference(component_clause,[status(thm)],[f21123]) ).
fof(f21126,definition,
( sQ3_spl
<=> sub(c80,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21127,plain,
( ~ sQ3_spl
| sub(c80,name_1_1) ),
inference(component_clause,[status(thm)],[f21126]) ).
fof(f21128,plain,
( sQ3_spl
| ~ sub(c80,name_1_1) ),
inference(component_clause,[status(thm)],[f21126]) ).
fof(f21129,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21122,f21123,f21126,f21115]) ).
fof(f21133,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20831,f21128]) ).
fof(f21134,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f21133]) ).
fof(f21135,plain,
( ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20829,f21124]) ).
fof(f21136,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f21135]) ).
fof(f21138,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,f21119]) ).
fof(f21139,plain,
! [X0] :
( ~ sQ1_spl
| ~ sub(c80,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21138,f20829]) ).
fof(f21140,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)],[f21139,f21127]) ).
fof(f21141,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(resolution,[status(thm)],[f21140,f10194]) ).
fof(f21142,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ member(name_1_1,cons(name_1_1,nil)) ),
inference(resolution,[status(thm)],[f21141,f10194]) ).
fof(f21143,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21142,f10191]) ).
fof(f21144,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f21143]) ).
fof(f21145,plain,
$false,
inference(sat_refutation,[status(thm)],[f21121,f21129,f21134,f21136,f21144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR113+22 : 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 : n005.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 15:03:18 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.22/0.50 % Drodi V4.1.1
% 16.57/2.65 % Refutation found
% 16.57/2.65 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.57/2.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.53/2.74 % Elapsed time: 2.356587 seconds
% 8.53/2.74 % CPU time: 17.140845 seconds
% 8.53/2.74 % Total memory used: 503.921 MB
% 8.53/2.74 % Net memory used: 494.634 MB
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