%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU200+2 : TPTP v9.3.1. Released v3.3.0.
% 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 02:19:38 PM UTC 2026
% Result : Theorem 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 6 unt; 3 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 28 ~; 24 |; 5 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,axiom,
! [A,B] :
( relation(B)
=> relation(relation_rng_restriction(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,lemma,
! [A,B] :
( relation(B)
=> subset(relation_rng_restriction(A,B),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,conjecture,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f116,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
inference(negated_conjecture,[status(cth)],[f115]) ).
fof(f129,lemma,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(A,B)
=> ( subset(relation_rng(A),relation_rng(B))
& subset(relation_dom(A),relation_dom(B)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f435,plain,
! [A,B] :
( relation(relation_rng_restriction(A,B))
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f61]) ).
fof(f436,plain,
! [B] :
( ! [A] : relation(relation_rng_restriction(A,B))
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f435]) ).
fof(f437,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f436]) ).
fof(f567,plain,
! [A,B] :
( subset(relation_rng_restriction(A,B),B)
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f114]) ).
fof(f568,plain,
! [B] :
( ! [A] : subset(relation_rng_restriction(A,B),B)
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f567]) ).
fof(f569,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X1,X0),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f568]) ).
fof(f570,plain,
? [A,B] :
( ~ subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))
& relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f116]) ).
fof(f571,plain,
? [B] :
( ? [A] : ~ subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))
& relation(B) ),
inference(miniscoping,[status(thm)],[f570]) ).
fof(f572,plain,
( ~ subset(relation_rng(relation_rng_restriction(sK54_skl,sK53_skl)),relation_rng(sK53_skl))
& relation(sK53_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53_skl,sK54_skl]),skolemize(B,sK53_skl),skolemize(A,sK54_skl)],[f571]) ).
fof(f573,plain,
relation(sK53_skl),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f574,plain,
~ subset(relation_rng(relation_rng_restriction(sK54_skl,sK53_skl)),relation_rng(sK53_skl)),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f606,plain,
! [A] :
( ! [B] :
( ( subset(relation_rng(A),relation_rng(B))
& subset(relation_dom(A),relation_dom(B)) )
| ~ subset(A,B)
| ~ relation(B) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f129]) ).
fof(f608,plain,
! [X0,X1] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f606]) ).
fof(f917,plain,
( ~ subset(relation_rng_restriction(sK54_skl,sK53_skl),sK53_skl)
| ~ relation(sK53_skl)
| ~ relation(relation_rng_restriction(sK54_skl,sK53_skl)) ),
inference(resolution,[status(thm)],[f608,f574]) ).
fof(f923,definition,
( sQ3_spl
<=> relation(relation_rng_restriction(sK54_skl,sK53_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f925,plain,
( sQ3_spl
| ~ relation(relation_rng_restriction(sK54_skl,sK53_skl)) ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,definition,
( sQ4_spl
<=> relation(sK53_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( sQ4_spl
| ~ relation(sK53_skl) ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f929,definition,
( sQ5_spl
<=> subset(relation_rng_restriction(sK54_skl,sK53_skl),sK53_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f931,plain,
( sQ5_spl
| ~ subset(relation_rng_restriction(sK54_skl,sK53_skl),sK53_skl) ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f932,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f917,f923,f926,f929]) ).
fof(f942,plain,
( sQ5_spl
| ~ relation(sK53_skl) ),
inference(resolution,[status(thm)],[f931,f569]) ).
fof(f943,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f942,f573]) ).
fof(f944,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f943]) ).
fof(f945,plain,
( sQ3_spl
| ~ relation(sK53_skl) ),
inference(resolution,[status(thm)],[f925,f437]) ).
fof(f946,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f945,f573]) ).
fof(f947,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f946]) ).
fof(f948,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f928,f573]) ).
fof(f949,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f948]) ).
fof(f950,plain,
$false,
inference(sat_refutation,[status(thm)],[f932,f944,f947,f949]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU200+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:57:13 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.44 % Elapsed time: 0.065133 seconds
% 0.09/0.44 % CPU time: 0.201172 seconds
% 0.09/0.44 % Total memory used: 113.560 MB
% 0.09/0.44 % Net memory used: 113.298 MB
%------------------------------------------------------------------------------