%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR113+17 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 12:13:48 PM UTC 2026
% Result : Theorem 15.38s 2.52s
% Output : CNFRefutation 15.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 10 unt; 3 def)
% Number of atoms : 264 ( 0 equ)
% Maximal formula atoms : 156 ( 6 avg)
% Number of connectives : 283 ( 60 ~; 43 |; 175 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 156 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 4 prp; 0-2 aty)
% Number of functors : 48 ( 48 usr; 46 con; 0-2 aty)
% Number of variables : 73 ( 60 !; 13 ?)
% 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,X4] :
( val(X1,new_york_0)
& sub(X1,name_1_1)
& scar(X3,X4)
& flp(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( val(X1,new_york_0)
& sub(X1,name_1_1)
& scar(X3,X4)
& flp(X0,X2) ),
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(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)
& 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(c2581,varia_c)
& refer(c2581,indet)
& quant(c2581,one)
& gener(c2581,sp)
& fact(c2581,real)
& etype(c2581,int0)
& card(c2581,int1)
& sort(c2581,na)
& gener(schenken_1_1,ge)
& fact(schenken_1_1,real)
& sort(schenken_1_1,da)
& varia(c2580,con)
& refer(c2580,det)
& quant(c2580,one)
& gener(c2580,sp)
& fact(c2580,real)
& etype(c2580,int0)
& card(c2580,int1)
& sort(c2580,io)
& sort(c2580,d)
& gener(c2578,sp)
& fact(c2578,real)
& sort(c2578,da)
& varia(franzose_1_1,varia_c)
& refer(franzose_1_1,refer_c)
& quant(franzose_1_1,one)
& gener(franzose_1_1,ge)
& fact(franzose_1_1,real)
& etype(franzose_1_1,int0)
& card(franzose_1_1,int1)
& sort(franzose_1_1,d)
& varia(c2571,con)
& refer(c2571,det)
& quant(c2571,mult)
& gener(c2571,sp)
& fact(c2571,real)
& etype(c2571,int1)
& card(c2571,cons(x_constant,cons(int1,nil)))
& sort(c2571,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(kupfer_1_1,varia_c)
& refer(kupfer_1_1,refer_c)
& quant(kupfer_1_1,one)
& gener(kupfer_1_1,ge)
& fact(kupfer_1_1,real)
& etype(kupfer_1_1,int0)
& card(kupfer_1_1,int1)
& sort(kupfer_1_1,s)
& varia(c2588,con)
& refer(c2588,det)
& quant(c2588,one)
& gener(c2588,sp)
& fact(c2588,real)
& etype(c2588,int0)
& card(c2588,int1)
& sort(c2588,l)
& varia(c2555,con)
& refer(c2555,det)
& quant(c2555,one)
& gener(c2555,sp)
& fact(c2555,real)
& etype(c2555,int0)
& card(c2555,int1)
& sort(c2555,d)
& gener(stammen_1_2,ge)
& fact(stammen_1_2,real)
& sort(stammen_1_2,st)
& varia(c2549,con)
& refer(c2549,det)
& quant(c2549,one)
& gener(c2549,sp)
& fact(c2549,real)
& etype(c2549,int0)
& card(c2549,int1)
& sort(c2549,s)
& gener(c2528,sp)
& fact(c2528,real)
& sort(c2528,st)
& varia(mine_1_3,varia_c)
& refer(mine_1_3,refer_c)
& quant(mine_1_3,one)
& gener(mine_1_3,ge)
& fact(mine_1_3,real)
& etype(mine_1_3,int0)
& card(mine_1_3,int1)
& sort(mine_1_3,d)
& varia(c2034,varia_c)
& refer(c2034,det)
& quant(c2034,one)
& gener(c2034,sp)
& fact(c2034,real)
& etype(c2034,int0)
& card(c2034,int1)
& sort(c2034,d)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& flp(c2588,c2034)
& val(c2581,new_york_0)
& sub(c2581,name_1_1)
& sub(c2580,stadt__1_1)
& attr(c2580,c2581)
& subs(c2578,schenken_1_1)
& ornt(c2578,c2580)
& obj(c2578,c2555)
& agt(c2578,c2571)
& pred(c2571,franzose_1_1)
& sub(c2555,freiheitsstatue_1_1)
& sub(c2549,kupfer_1_1)
& origl(c2549,c2588)
& benf(c2549,c2555)
& subs(c2528,stammen_1_2)
& arg2(c2528,c2034)
& arg1(c2528,c2549)
& sub(c2034,mine_1_3) ),
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,X4] :
( ~ val(X1,new_york_0)
| ~ sub(X1,name_1_1)
| ~ scar(X3,X4)
| ~ flp(X0,X2) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X1] :
( ~ val(X1,new_york_0)
| ~ sub(X1,name_1_1)
| ! [X3,X4] : ~ scar(X3,X4)
| ! [X0,X2] : ~ flp(X0,X2) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4] :
( ~ val(X4,new_york_0)
| ~ sub(X4,name_1_1)
| ~ scar(X2,X3)
| ~ flp(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20831,plain,
attr(c2580,c2581),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20833,plain,
sub(c2581,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20834,plain,
val(c2581,new_york_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20835,plain,
flp(c2588,c2034),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21009,definition,
! [X0,X1] :
( sQ0_spl
<=> ~ flp(X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21010,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ flp(X0,X1) ),
inference(component_clause,[status(thm)],[f21009]) ).
fof(f21012,definition,
! [X2,X3] :
( sQ1_spl
<=> ~ scar(X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21013,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ scar(X0,X1) ),
inference(component_clause,[status(thm)],[f21012]) ).
fof(f21015,definition,
! [X4] :
( sQ2_spl
<=> ( ~ val(X4,new_york_0)
| ~ sub(X4,name_1_1) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21016,plain,
! [X0] :
( ~ sQ2_spl
| ~ val(X0,new_york_0)
| ~ sub(X0,name_1_1) ),
inference(component_clause,[status(thm)],[f21015]) ).
fof(f21018,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21009,f21012,f21015]) ).
fof(f21019,plain,
( ~ sQ2_spl
| ~ sub(c2581,name_1_1) ),
inference(resolution,[status(thm)],[f20834,f21016]) ).
fof(f21020,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20833,f21019]) ).
fof(f21021,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f21020]) ).
fof(f21023,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20835,f21010]) ).
fof(f21024,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f21023]) ).
fof(f21026,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,f21013]) ).
fof(f21027,plain,
! [X0] :
( ~ sQ1_spl
| ~ sub(c2581,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21026,f20831]) ).
fof(f21028,plain,
( ~ sQ1_spl
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f21027,f20833]) ).
fof(f21029,plain,
( ~ sQ1_spl
| ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(resolution,[status(thm)],[f21028,f10194]) ).
fof(f21030,plain,
( ~ sQ1_spl
| ~ member(name_1_1,cons(name_1_1,nil)) ),
inference(resolution,[status(thm)],[f21029,f10194]) ).
fof(f21031,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21030,f10191]) ).
fof(f21032,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f21031]) ).
fof(f21033,plain,
$false,
inference(sat_refutation,[status(thm)],[f21018,f21021,f21024,f21032]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR113+17 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.41 % Computer : n009.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8046.5625MB
% 0.11/0.41 % OS : Linux 6.8.0-71-generic
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.41 % DateTime : Mon Sep 21 15:02:58 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.21/0.54 % Drodi V4.1.1
% 15.38/2.52 % Refutation found
% 15.38/2.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 15.38/2.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.61/2.67 % Elapsed time: 2.237926 seconds
% 7.61/2.67 % CPU time: 15.726882 seconds
% 7.61/2.67 % Total memory used: 508.360 MB
% 7.61/2.67 % Net memory used: 496.857 MB
%------------------------------------------------------------------------------