%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU248+2 : TPTP v9.3.1. Released v3.3.0.
% 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 02:19:54 PM UTC 2026
% Result : Theorem 0.28s 0.58s
% Output : CNFRefutation 0.28s
% 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(f101,axiom,
! [A,B] :
( relation(B)
=> relation(relation_rng_restriction(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f146,conjecture,
! [A,B] :
( relation(B)
=> subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f147,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ),
inference(negated_conjecture,[status(cth)],[f146]) ).
fof(f186,lemma,
! [A,B] :
( relation(B)
=> subset(relation_rng_restriction(A,B),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f223,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f765,plain,
! [A,B] :
( relation(relation_rng_restriction(A,B))
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f101]) ).
fof(f766,plain,
! [B] :
( ! [A] : relation(relation_rng_restriction(A,B))
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f765]) ).
fof(f767,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f766]) ).
fof(f877,plain,
? [A,B] :
( ~ subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B))
& relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f147]) ).
fof(f878,plain,
? [B] :
( ? [A] : ~ subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B))
& relation(B) ),
inference(miniscoping,[status(thm)],[f877]) ).
fof(f879,plain,
( ~ subset(relation_dom(relation_rng_restriction(sK79_skl,sK78_skl)),relation_dom(sK78_skl))
& relation(sK78_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78_skl,sK79_skl]),skolemize(B,sK78_skl),skolemize(A,sK79_skl)],[f878]) ).
fof(f880,plain,
relation(sK78_skl),
inference(cnf_transformation,[status(thm)],[f879]) ).
fof(f881,plain,
~ subset(relation_dom(relation_rng_restriction(sK79_skl,sK78_skl)),relation_dom(sK78_skl)),
inference(cnf_transformation,[status(thm)],[f879]) ).
fof(f1028,plain,
! [A,B] :
( subset(relation_rng_restriction(A,B),B)
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f186]) ).
fof(f1029,plain,
! [B] :
( ! [A] : subset(relation_rng_restriction(A,B),B)
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f1028]) ).
fof(f1030,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X1,X0),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f1029]) ).
fof(f1146,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)],[f223]) ).
fof(f1147,plain,
! [X0,X1] :
( subset(relation_dom(X0),relation_dom(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f1146]) ).
fof(f1599,plain,
( ~ subset(relation_rng_restriction(sK79_skl,sK78_skl),sK78_skl)
| ~ relation(sK78_skl)
| ~ relation(relation_rng_restriction(sK79_skl,sK78_skl)) ),
inference(resolution,[status(thm)],[f1147,f881]) ).
fof(f1602,definition,
( sQ2_spl
<=> relation(relation_rng_restriction(sK79_skl,sK78_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1604,plain,
( sQ2_spl
| ~ relation(relation_rng_restriction(sK79_skl,sK78_skl)) ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1605,definition,
( sQ3_spl
<=> relation(sK78_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f1607,plain,
( sQ3_spl
| ~ relation(sK78_skl) ),
inference(component_clause,[status(thm)],[f1605]) ).
fof(f1608,definition,
( sQ4_spl
<=> subset(relation_rng_restriction(sK79_skl,sK78_skl),sK78_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1610,plain,
( sQ4_spl
| ~ subset(relation_rng_restriction(sK79_skl,sK78_skl),sK78_skl) ),
inference(component_clause,[status(thm)],[f1608]) ).
fof(f1611,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1599,f1602,f1605,f1608]) ).
fof(f1612,plain,
( sQ4_spl
| ~ relation(sK78_skl) ),
inference(resolution,[status(thm)],[f1610,f1030]) ).
fof(f1613,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1612,f880]) ).
fof(f1614,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f1613]) ).
fof(f1615,plain,
( sQ2_spl
| ~ relation(sK78_skl) ),
inference(resolution,[status(thm)],[f1604,f767]) ).
fof(f1616,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1615,f880]) ).
fof(f1617,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f1616]) ).
fof(f1618,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1607,f880]) ).
fof(f1619,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f1618]) ).
fof(f1620,plain,
$false,
inference(sat_refutation,[status(thm)],[f1611,f1614,f1617,f1619]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU248+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n004.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 06:03:35 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.55 % Drodi V4.1.1
% 0.28/0.58 % Refutation found
% 0.28/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.28/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.28/0.66 % Elapsed time: 0.188796 seconds
% 0.28/0.66 % CPU time: 0.234892 seconds
% 0.28/0.66 % Total memory used: 41.441 MB
% 0.28/0.66 % Net memory used: 41.265 MB
%------------------------------------------------------------------------------