%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR113+20 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 10.33s 2.07s
% Output : CNFRefutation 10.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 11 unt; 5 def)
% Number of atoms : 297 ( 0 equ)
% Maximal formula atoms : 177 ( 6 avg)
% Number of connectives : 312 ( 62 ~; 47 |; 196 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 177 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 34 ( 33 usr; 6 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 51 con; 0-2 aty)
% Number of variables : 75 ( 62 !; 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)
& gener(gehen_1_2,ge)
& fact(gehen_1_2,real)
& sort(gehen_1_2,dn)
& varia(c3577,varia_c)
& refer(c3577,refer_c)
& quant(c3577,one)
& gener(c3577,sp)
& fact(c3577,real)
& etype(c3577,int0)
& card(c3577,int1)
& sort(c3577,l)
& gener(rprs_0,gener_c)
& fact(rprs_0,real)
& sort(rprs_0,st)
& 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(verhei__337ung_1_1,varia_c)
& refer(verhei__337ung_1_1,refer_c)
& quant(verhei__337ung_1_1,one)
& gener(verhei__337ung_1_1,ge)
& fact(verhei__337ung_1_1,real)
& etype(verhei__337ung_1_1,int0)
& card(verhei__337ung_1_1,int1)
& sort(verhei__337ung_1_1,as)
& varia(c3563,varia_c)
& refer(c3563,det)
& quant(c3563,one)
& gener(c3563,sp)
& fact(c3563,real)
& etype(c3563,int0)
& card(c3563,int1)
& sort(c3563,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(c3569,varia_c)
& refer(c3569,det)
& quant(c3569,one)
& gener(c3569,sp)
& fact(c3569,real)
& etype(c3569,int0)
& card(c3569,int1)
& sort(c3569,io)
& sort(c3569,as)
& gener(ansehen_2_3,ge)
& fact(ansehen_2_3,real)
& sort(ansehen_2_3,st)
& gener(c7,sp)
& fact(c7,real)
& sort(c7,dn)
& varia(c3558,con)
& refer(c3558,det)
& quant(c3558,one)
& gener(c3558,sp)
& fact(c3558,real)
& etype(c3558,int0)
& card(c3558,int1)
& sort(c3558,d)
& gener(c3575,sp)
& fact(c3575,hypo)
& sort(c3575,st)
& gener(c3446,sp)
& fact(c3446,real)
& sort(c3446,st)
& varia(bord_1_1,varia_c)
& refer(bord_1_1,refer_c)
& quant(bord_1_1,one)
& gener(bord_1_1,ge)
& fact(bord_1_1,real)
& etype(bord_1_1,int0)
& card(bord_1_1,int1)
& sort(bord_1_1,d)
& varia(c3439,varia_c)
& refer(c3439,refer_c)
& quant(c3439,one)
& gener(c3439,sp)
& fact(c3439,real)
& etype(c3439,int0)
& card(c3439,int1)
& sort(c3439,d)
& varia(mauskewitz_1_1,varia_c)
& refer(mauskewitz_1_1,refer_c)
& quant(mauskewitz_1_1,one)
& gener(mauskewitz_1_1,ge)
& fact(mauskewitz_1_1,real)
& etype(mauskewitz_1_1,int0)
& card(mauskewitz_1_1,int1)
& sort(mauskewitz_1_1,o)
& varia(c2599,con)
& refer(c2599,det)
& quant(c2599,mult)
& gener(c2599,sp)
& fact(c2599,real)
& etype(c2599,int1)
& card(c2599,cons(x_constant,cons(int1,nil)))
& sort(c2599,o)
& 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(c2596,varia_c)
& refer(c2596,indet)
& quant(c2596,one)
& gener(c2596,sp)
& fact(c2596,real)
& etype(c2596,int0)
& card(c2596,int1)
& sort(c2596,na)
& varia(c2595,con)
& refer(c2595,det)
& quant(c2595,one)
& gener(c2595,sp)
& fact(c2595,real)
& etype(c2595,int0)
& card(c2595,int1)
& sort(c2595,io)
& sort(c2595,d)
& sub(freiheitsstatue_1_1,statue_1_1)
& assoc(freiheitsstatue_1_1,freiheit_1_1)
& subs(c7,gehen_1_2)
& ornt(c7,c2595)
& origl(c7,c3577)
& obj(c7,c2599)
& flp(c3577,c3439)
& subr(c3575,rprs_0)
& arg2(c3575,c3563)
& arg1(c3575,c3558)
& sub(c3569,freiheit_1_1)
& subs(c3563,verhei__337ung_1_1)
& sspe(c3563,c3569)
& sub(c3558,freiheitsstatue_1_1)
& poss(c3558,c3569)
& subs(c3446,ansehen_2_3)
& semrel(c3446,c7)
& obj(c3446,c3558)
& mexp(c3446,c2599)
& mcont(c3446,c3575)
& sub(c3439,bord_1_1)
& pred(c2599,mauskewitz_1_1)
& val(c2596,new_york_0)
& sub(c2596,name_1_1)
& sub(c2595,stadt__1_1)
& attr(c2595,c2596) ),
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(f20818,plain,
attr(c2595,c2596),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20820,plain,
sub(c2596,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20821,plain,
val(c2596,new_york_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20837,plain,
flp(c3577,c3439),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21030,definition,
! [X0,X1] :
( sQ0_spl
<=> ~ flp(X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21031,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ flp(X0,X1) ),
inference(component_clause,[status(thm)],[f21030]) ).
fof(f21033,definition,
! [X2,X3] :
( sQ1_spl
<=> ~ scar(X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21034,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ scar(X0,X1) ),
inference(component_clause,[status(thm)],[f21033]) ).
fof(f21036,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(f21037,plain,
! [X0] :
( ~ sQ2_spl
| ~ val(X0,new_york_0)
| ~ sub(X0,name_1_1) ),
inference(component_clause,[status(thm)],[f21036]) ).
fof(f21039,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21030,f21033,f21036]) ).
fof(f21040,plain,
( ~ sQ2_spl
| ~ val(c2596,new_york_0) ),
inference(resolution,[status(thm)],[f20820,f21037]) ).
fof(f21042,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21040,f20821]) ).
fof(f21043,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f21042]) ).
fof(f21045,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20837,f21031]) ).
fof(f21053,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f21045]) ).
fof(f21056,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(backward_subsumption_resolution,[status(thm)],[f10703,f21034]) ).
fof(f21077,plain,
! [X0] :
( ~ sQ1_spl
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,c2596) ),
inference(resolution,[status(thm)],[f21056,f20820]) ).
fof(f21078,definition,
! [X0] :
( sQ3_spl
<=> ~ attr(X0,c2596) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21079,plain,
! [X0] :
( ~ sQ3_spl
| ~ attr(X0,c2596) ),
inference(component_clause,[status(thm)],[f21078]) ).
fof(f21081,definition,
( sQ4_spl
<=> member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f21083,plain,
( sQ4_spl
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(component_clause,[status(thm)],[f21081]) ).
fof(f21084,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f21077,f21078,f21081,f21033]) ).
fof(f21085,plain,
( ~ sQ3_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20818,f21079]) ).
fof(f21086,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f21085]) ).
fof(f21096,plain,
( sQ4_spl
| ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
inference(resolution,[status(thm)],[f21083,f10194]) ).
fof(f21097,plain,
( sQ4_spl
| ~ member(name_1_1,cons(name_1_1,nil)) ),
inference(resolution,[status(thm)],[f21096,f10194]) ).
fof(f21098,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21097,f10191]) ).
fof(f21099,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f21098]) ).
fof(f21100,plain,
$false,
inference(sat_refutation,[status(thm)],[f21039,f21043,f21053,f21084,f21086,f21099]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR113+20 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n016.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 15:07:53 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.16/0.71 % Drodi V4.1.1
% 10.33/2.07 % Refutation found
% 10.33/2.07 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.33/2.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.81/2.19 % Elapsed time: 1.601004 seconds
% 4.81/2.19 % CPU time: 11.077805 seconds
% 4.81/2.19 % Total memory used: 501.609 MB
% 4.81/2.19 % Net memory used: 489.160 MB
%------------------------------------------------------------------------------