%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR113+27 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 11.19s 7.05s
% Output : CNFRefutation 11.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 8 unt; 4 def)
% Number of atoms : 288 ( 0 equ)
% Maximal formula atoms : 165 ( 6 avg)
% Number of connectives : 314 ( 70 ~; 54 |; 184 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 165 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 5 prp; 0-9 aty)
% Number of functors : 52 ( 52 usr; 50 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,new_york_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,new_york_0)
& sub(X0,name_1_1)
& scar(X2,X3)
& attr(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( 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(c78466,varia_c)
& refer(c78466,det)
& quant(c78466,one)
& gener(c78466,sp)
& fact(c78466,real)
& etype(c78466,int0)
& card(c78466,int1)
& sort(c78466,d)
& varia(c79239,varia_c)
& refer(c79239,refer_c)
& quant(c79239,quant_c)
& gener(c79239,gener_c)
& fact(c79239,real)
& etype(c79239,etype_c)
& card(c79239,card_c)
& sort(c79239,ent)
& sort(new_york_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(c78538,varia_c)
& refer(c78538,indet)
& quant(c78538,one)
& gener(c78538,sp)
& fact(c78538,real)
& etype(c78538,int0)
& card(c78538,int1)
& sort(c78538,na)
& varia(c78537,con)
& refer(c78537,det)
& quant(c78537,one)
& gener(c78537,sp)
& fact(c78537,real)
& etype(c78537,int0)
& card(c78537,int1)
& sort(c78537,io)
& sort(c78537,d)
& 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(c78531,con)
& refer(c78531,det)
& quant(c78531,one)
& gener(c78531,sp)
& fact(c78531,real)
& etype(c78531,int0)
& card(c78531,int1)
& sort(c78531,d)
& varia(wort_2_1,varia_c)
& refer(wort_2_1,refer_c)
& quant(wort_2_1,one)
& gener(wort_2_1,ge)
& fact(wort_2_1,real)
& etype(wort_2_1,int0)
& card(wort_2_1,int1)
& sort(wort_2_1,io)
& sort(wort_2_1,d)
& varia(c78522,varia_c)
& refer(c78522,indet)
& quant(c78522,mult)
& gener(c78522,gener_c)
& fact(c78522,real)
& etype(c78522,int1)
& card(c78522,cons(x_constant,cons(int1,nil)))
& sort(c78522,io)
& sort(c78522,d)
& sort(ber__374hmt_1_1,nq)
& varia(c78520,con)
& refer(c78520,det)
& quant(c78520,mult)
& gener(c78520,sp)
& fact(c78520,real)
& etype(c78520,int1)
& card(c78520,cons(x_constant,cons(int1,nil)))
& sort(c78520,o)
& 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(c78495,con)
& refer(c78495,det)
& quant(c78495,one)
& gener(c78495,sp)
& fact(c78495,real)
& etype(c78495,int0)
& card(c78495,int1)
& sort(c78495,io)
& sort(c78495,as)
& varia(sich_1_1,varia_c)
& refer(sich_1_1,refer_c)
& quant(sich_1_1,one)
& gener(sich_1_1,gener_c)
& fact(sich_1_1,real)
& etype(sich_1_1,int0)
& card(sich_1_1,int1)
& sort(sich_1_1,o)
& varia(c78489,varia_c)
& refer(c78489,refer_c)
& quant(c78489,one)
& gener(c78489,gener_c)
& fact(c78489,real)
& etype(c78489,int0)
& card(c78489,int1)
& sort(c78489,o)
& varia(masse_1_1,varia_c)
& refer(masse_1_1,refer_c)
& quant(masse_1_1,quant_c)
& gener(masse_1_1,ge)
& fact(masse_1_1,real)
& etype(masse_1_1,int1)
& card(masse_1_1,card_c)
& sort(masse_1_1,io)
& varia(c78483,varia_c)
& refer(c78483,indet)
& quant(c78483,mult)
& gener(c78483,gener_c)
& fact(c78483,real)
& etype(c78483,int2)
& card(c78483,cons(x_constant,cons(int1,nil)))
& sort(c78483,io)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& tupl_p9(c79239,c78466,c78483,c78489,c78495,c78520,c78522,c78531,c78537)
& val(c78538,new_york_0)
& sub(c78538,name_1_1)
& sub(c78537,stadt__1_1)
& attr(c78537,c78538)
& sub(c78531,freiheitsstatue_1_1)
& pred(c78522,wort_2_1)
& prop(c78520,ber__374hmt_1_1)
& sub(c78495,freiheit_1_1)
& sub(c78489,sich_1_1)
& pred(c78483,masse_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,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(f20824,plain,
attr(c78537,c78538),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20826,plain,
sub(c78538,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20827,plain,
val(c78538,new_york_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21018,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(f21019,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ val(X1,new_york_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21018]) ).
fof(f21021,definition,
! [X2,X3] :
( sQ1_spl
<=> ~ scar(X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21022,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ scar(X0,X1) ),
inference(component_clause,[status(thm)],[f21021]) ).
fof(f21024,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21018,f21021]) ).
fof(f21025,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c78538,name_1_1)
| ~ attr(X0,c78538) ),
inference(resolution,[status(thm)],[f20827,f21019]) ).
fof(f21026,definition,
! [X0] :
( sQ2_spl
<=> ~ attr(X0,c78538) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21027,plain,
! [X0] :
( ~ sQ2_spl
| ~ attr(X0,c78538) ),
inference(component_clause,[status(thm)],[f21026]) ).
fof(f21029,definition,
( sQ3_spl
<=> sub(c78538,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21030,plain,
( ~ sQ3_spl
| sub(c78538,name_1_1) ),
inference(component_clause,[status(thm)],[f21029]) ).
fof(f21031,plain,
( sQ3_spl
| ~ sub(c78538,name_1_1) ),
inference(component_clause,[status(thm)],[f21029]) ).
fof(f21032,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21025,f21026,f21029,f21018]) ).
fof(f21035,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20826,f21031]) ).
fof(f21036,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f21035]) ).
fof(f21037,plain,
( ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20824,f21027]) ).
fof(f21038,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f21037]) ).
fof(f21040,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,f21022]) ).
fof(f21041,plain,
! [X0] :
( ~ sQ1_spl
| ~ sub(c78538,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21040,f20824]) ).
fof(f21042,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)],[f21041,f21030]) ).
fof(f21043,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(resolution,[status(thm)],[f21042,f10194]) ).
fof(f21044,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ member(name_1_1,cons(name_1_1,nil)) ),
inference(resolution,[status(thm)],[f21043,f10194]) ).
fof(f21045,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21044,f10191]) ).
fof(f21046,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f21045]) ).
fof(f21047,plain,
$false,
inference(sat_refutation,[status(thm)],[f21024,f21032,f21036,f21038,f21046]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR113+27 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/5.52 % Computer : n012.cluster.edu
% 0.03/5.52 % Model : x86_64 x86_64
% 0.03/5.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.52 % Memory : 8046.5625MB
% 0.03/5.52 % OS : Linux 6.8.0-71-generic
% 0.03/5.52 % CPULimit : 300
% 0.03/5.52 % WCLimit : 300
% 0.03/5.52 % DateTime : Mon Sep 21 15:03:15 UTC 2026
% 0.03/5.52 % CPUTime :
% 0.03/5.58 % Drodi V4.1.1
% 11.19/7.05 % Refutation found
% 11.19/7.05 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.19/7.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.45/7.12 % Elapsed time: 1.595656 seconds
% 0.45/7.12 % CPU time: 11.839288 seconds
% 0.45/7.12 % Total memory used: 508.928 MB
% 0.45/7.12 % Net memory used: 496.964 MB
%------------------------------------------------------------------------------