%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU040+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 02:19:07 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 4 unt; 2 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 54 ( 21 ~; 17 |; 10 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 20 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,conjecture,
! [A,B] :
( ( function(B)
& relation(B) )
=> ( subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
& subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [A,B] :
( ( function(B)
& relation(B) )
=> ( subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
& subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,axiom,
! [A,B] :
( relation(B)
=> subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f135,plain,
? [A,B] :
( ( ~ subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
| ~ subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) )
& function(B)
& relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f136,plain,
? [B] :
( ( ? [A] : ~ subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
| ? [A] : ~ subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) )
& function(B)
& relation(B) ),
inference(miniscoping,[status(thm)],[f135]) ).
fof(f137,plain,
( ( ~ subset(relation_rng(relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng(sK11_skl))
| ~ subset(relation_dom(relation_dom_restriction(sK11_skl,sK12_skl)),relation_dom(sK11_skl)) )
& function(sK11_skl)
& relation(sK11_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl]),skolemize(B,sK11_skl),skolemize(A,sK12_skl),skolemize(A,sK13_skl)],[f136]) ).
fof(f138,plain,
relation(sK11_skl),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f140,plain,
( ~ subset(relation_rng(relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng(sK11_skl))
| ~ subset(relation_dom(relation_dom_restriction(sK11_skl,sK12_skl)),relation_dom(sK11_skl)) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f141,plain,
! [A,B] :
( subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B))
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f142,plain,
! [B] :
( ! [A] : subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B))
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f141]) ).
fof(f143,plain,
! [X0,X1] :
( subset(relation_dom(relation_dom_restriction(X0,X1)),relation_dom(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f144,plain,
! [A,B] :
( subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f39]) ).
fof(f145,plain,
! [B] :
( ! [A] : subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f144]) ).
fof(f146,plain,
! [X0,X1] :
( subset(relation_rng(relation_dom_restriction(X0,X1)),relation_rng(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,definition,
( sQ0_spl
<=> subset(relation_dom(relation_dom_restriction(sK11_skl,sK12_skl)),relation_dom(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( sQ0_spl
| ~ subset(relation_dom(relation_dom_restriction(sK11_skl,sK12_skl)),relation_dom(sK11_skl)) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,definition,
( sQ1_spl
<=> subset(relation_rng(relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( sQ1_spl
| ~ subset(relation_rng(relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng(sK11_skl)) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f140,f147,f150]) ).
fof(f157,plain,
( sQ0_spl
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f143,f149]) ).
fof(f159,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f157,f138]) ).
fof(f160,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( sQ1_spl
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f152,f146]) ).
fof(f163,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f162,f138]) ).
fof(f164,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f163]) ).
fof(f165,plain,
$false,
inference(sat_refutation,[status(thm)],[f153,f160,f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU040+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:47:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.44 % Elapsed time: 0.057265 seconds
% 0.10/0.44 % CPU time: 0.137397 seconds
% 0.10/0.44 % Total memory used: 50.798 MB
% 0.10/0.44 % Net memory used: 50.773 MB
%------------------------------------------------------------------------------